{"text":"Question: Calculate 26 - 34 - (2 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10\/25 - ((-12)\/6 - (-154)\/10). What is the smallest value in -0.2, k, -4\/5, -5, 0.02?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the second derivative of -u**6\/120 + u**5\/20 - u**4\/8 + u**3\/6 - u**2\/8 - 3*u. Determine w so that k(w) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and -282274.\nAnswer: -846822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.47001322 take away 116599?\nAnswer: -116599.47001322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**2 + 9*i - 15. Let m(a) = 7*a**2 - a - 2. Let u = -82 - -81. Let z be m(u). Let s be q(z). Solve -2*f - 3*x + 4 = -x, -5*f + 2 = -s*x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 90532 - 16?\nAnswer: 90519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 4\/11, 4, -4 in descending order.\nAnswer: 4, 4\/11, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 92065120*a - 8973135*a - 405766621*a.\nAnswer: -322674636*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-4)\/(-3))\/((8\/(-12))\/(-2)). Suppose -i = y - 5, s + 4 = 4*y. Factor 1\/4*b**2 + s*b - 1\/4.\nAnswer: (b - 1)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38a (base 14) to base 9\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1083063469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the first derivative of 99\/5*s**5 - 34 + 42*s**2 + 0*s + 0*s**3 + 0*s**4. What is the second derivative of z(x) wrt x?\nAnswer: 1188*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1330 is divided by 93?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -7*p + 4. Give q(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1867 + -1641. What are the prime factors of j?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -131?  (a) -1\/18  (b) -4  (c) 5  (d) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**9\/(z\/(z\/(z**(-7\/3)*z))))\/(z*z**6*z)**(-50) assuming z is positive.\nAnswer: z**(1231\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**2 + 17*k - 19. Let c be h(11). Let g = 13 + c. Let o(n) = -13*n**3 - 2*n**2 - n. Let z be o(-1). What is the greatest common factor of z and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 10*j + 1386 = -8*j, 10 = -5*j. What are the prime factors of z?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 661609249*u**3 + 881942*u**2 - u + 31?\nAnswer: 3969655494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -29*a - 16. Let s(o) = 15*o + 8. Let y(g) = 6*h(g) + 11*s(g). Let q(l) = 7 - 4*l + 12*l + 0. What is -7*q(z) - 6*y(z)?\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2) + 1*sqrt(2)*1 - -6*sqrt(8)\/sqrt(4).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -690*o = -687*o + 5*z - 4, -z + 14 = -6*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5.062 - 0.462. Round t to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -z**3 + 2*z**2 - 2*z**2 + (0*z**2 + 4*z**2 - 6*z**2)*(-6 + 1 + 3)*(2*z - 7*z - 2*z).\nAnswer: -29*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 370*p - 365*p + 3*r - 19, -2*p - 11 = -5*r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 140 and 2576?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence houb when four letters picked without replacement from {s: 3, g: 1, h: 7, o: 3, u: 1, b: 2}?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*k**3*n + 5*k**3 + 2*k + 396*n**3 + 11 wrt n?\nAnswer: -2*k**3 + 1188*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2381, 4757, 7143, 9545, 11969, 14421, 16907, 19433?\n\"Answer: m**3 - m**2 + 2372*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 417677319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00002830429 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * 303.9\nAnswer: -121.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 26 - 23. Let c(f) = -3*f - 6 + 4 + u. Give c(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -45339*n**6 - 227*n**5 + 2625143*n**2?\nAnswer: -5440680*n**3 - 13620*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**2 - a**2 + 4*a**2)*(15 - 116 - 476).\nAnswer: -577*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 14, p: 1}. Give prob of picking 4 b.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 25559\/2392 - 18\/299. Find the common denominator of t and 23\/148.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 23.6 + -17.6. What is the nearest to u in 0.4, -3\/8, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccsz when four letters picked without replacement from gcgsbeeczcczecz?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*q = -67*q - 5*i, i = q. Solve 5*y - 20 + 25 = q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.228780552 rounded to 5 dps?\nAnswer: 0.22878","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * -34615\nAnswer: -3461.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -167 greater than or equal to -1170\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(1274)*-1*-3)\/((sqrt(50) + -1*sqrt(50)*-2)*5).\nAnswer: -21*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 732943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4782 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -5 + 2. Let f be 132\/8 + l\/(-2). Solve -3 = 3*p - f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 88 = -4*j + 24, 0 = -3*z - 2*j + 28. Factor -3\/4 - 3\/4*a**2 + 18*a**3 - z*a**4 - 9\/2*a.\nAnswer: -3*(a - 1)**2*(4*a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*u**2 + 18 + 55*u - 222 - 2*u**2 - u**2.\nAnswer: -u**2 + 55*u - 204","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 43\/(-215) + (-31)\/70. Sort 2\/5, -0.5, x, -4 in descending order.\nAnswer: 2\/5, -0.5, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(2*sqrt(91) - sqrt(91)) - sqrt(91))*2)\/(sqrt(448) - (sqrt(448) - (sqrt(448) + (sqrt(448) - sqrt(448)*1*6) - sqrt(448))))*-5.\nAnswer: -7*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the third derivative of -y**5\/60 - 7*y**4\/24 + 3*y**2. Suppose 6*s = 3*s - 12. What is the tens digit of o(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*k - 32*k = 139*k + 163 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes before 5:40 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = -4*t + 2*u + 4, 2329*t = 2313*t + 4*u - 48 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3170?\nAnswer: 2, 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -14.17 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 5*n**3 + 2*n**2 - 2*n - 2. Let q(c) = -66*c**3 - 27*c**2 + 27*c + 27. Calculate 2*q(h) + 27*x(h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000056081 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 33\/(-7) - 2\/7. Let t = 14 + -5. Let a = 9 - t. What is the closest to 0.1 in 1\/4, a, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12757\/104 - -1632\/13. Suppose 4*h - 186 = 2*h. Calculate the common denominator of (-1)\/5*h\/9 and y.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the second derivative of -g**3\/3 - 2*g**2 + g. Let q = 1081 - 1077. Let o(p) = -3*p - 5. Determine q*j(r) - 3*o(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -51*h**2 - 7. Let g(y) = -34*y**2 - 5. Let a be (1 - 1*-20)*135\/(-405). Give a*g(t) + 5*u(t).\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 374513 by 3.\nAnswer: 374513\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*(-45)\/243*4\/(-40)*-12.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -3*h**4\/4 - 273*h**3\/2 - 19431*h**2\/4 + 114375*h - 513975 = 0.\nAnswer: -110, -89, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32 is divided by ((-54)\/3)\/((-3)\/2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 63\/6 - 1\/(-2) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the second derivative of a**4\/12 - 2*a**3\/3 - 70*a**2 + 2*a - 409. Solve i(r) = 0.\nAnswer: -10, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**1)**40*z*z\/(z**(-8)*z)*z\/(z**3*z)*(z**(3\/2)*(z*(z*z\/((z\/z**(-3\/2))\/z)*z*z)\/z)\/z)**(-47) assuming z is positive.\nAnswer: z**(-95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*a**2 + 8*a**2 + 3*a**5 + 2*a**5 - a**5 - 3*a**5 - 2*a**5 + 2*a - 2*a + 0*a**5 + 0*a**5 - 2*a**5 + (-4*a**5 + 4*a**5 - a**5)*(2 + 3 - 3).\nAnswer: -5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/216 and 137\/1872.\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4401?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*s + s + s)*(-77*s - 78*s + 56*s) - 3*s**2 + s**2 + 0*s**2.\nAnswer: 394*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**2 - 13*r + 10. Let h be q(12). Which is the fourth smallest value?  (a) -0.2  (b) h  (c) -4.7  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, h: 3}. What is prob of picking 1 h and 1 f?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, s: 3, n: 2, i: 2, o: 12}. What is prob of sequence issi?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -4*u**3 - 5*u**2 + 3*u - 3. Calculate f(3).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3644 = -3*x - 1100. What are the prime factors of x?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -274311666, -274311665, -274311664?\n\"Answer: y - 274311667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1707794, 3415503, 5123124, 6830657, 8538102?\nAnswer: 10245459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 29*p - 7. Let i(j) = -15*j + 4. Let x(o) = 5*i(o) + 3*q(o). Suppose -5*v = -3*v - 6. What is the lowest common multiple of v and x(1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/8  (b) -0.4  (c) 21  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -2*b + 24. Let h be j(-17). Let d = h - 53. Suppose 0 = 3*t, 2*y = -d*t + 8 - 0. Calculate the remainder when 7 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**2 + 4*s. Let c(l) be the second derivative of -l**3\/6 + 7*l - 24. Calculate 6*c(x) + j(x).\nAnswer: -x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((1*(-6)\/1116)\/(43\/258))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*j**5 + j**5 + 0*j**5 + (6 - 6 - j**2)*(0*j**3 - 4*j**3 - 2*j**3).\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.04 * 2.925\nAnswer: -0.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 290923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 6*f + 57. Let m be h(-9). List the prime factors of (2\/m)\/(3\/99).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 5*a**3 - 9*a - 3. Let y(s) = s**3 - 1. Calculate p(l) - 3*y(l).\nAnswer: 2*l**3 - 9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1524*v - 4348 - 9442 = -1327*v for v.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2849 and 518?\nAnswer: 5698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -192.93 - -187. Let v = z + -0.07. Let m = -5 - v. Is 2\/13 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1793 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -26 - -60. Suppose 3*u + 4*f - 2 = 4*u, 3*f = -u + 5. Suppose 3*n + u*n + 4*a = 40, -2*a - 58 = -4*n. Calculate the remainder when k is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 849 + -849.2. Which is smaller: 8\/35 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1812*r - 1430 = 1922*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 64*v**4 + 59*v**4 - 201*v**3 - 48*v**3 - v**2 - 122*v**4 - v in the form p*v**4 + w*v**3 + y*v**2 + m*v + x and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of -l**4\/8 + l**3\/2 + l**2. Let m be r(3). Calculate the lowest common multiple of (-2)\/((-3)\/m*-2) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 AM and 8:07 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 178173 or 177?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 54.9455ml in litres?\nAnswer: 0.0549455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -2*x**2 + 2*x - 1. Let b be 1*(-1)\/2*-4. Let y be q(b). Let o(t) be the first derivative of t**2\/2 - t - 2. Calculate o(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1106576, -1106582, -1106588, -1106594, -1106600?\n\"Answer: -6*n - 1106570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 588 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 3*r**2 - 94*r + 521. Let q be x(7). Solve -9*h + q*h - 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 - (-1 - 13) - -2. Let l = u + -24. List the prime factors of l\/(-2)*(-17)\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 15 = 5*x + 3, 3*x - d = -10. Suppose 0 = 3*i - 5*s - 26, -5*i = s - 70 - 20. Is 6 a factor of 3\/(-2) - i\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-1408)*22)\/(((30\/(-129))\/(-5))\/(-16))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, g: 8}. What is prob of sequence xxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -39575875\/2 or -19787938?\nAnswer: -19787938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 91.5103l?\nAnswer: 91510.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -35538, -35556, -35578, -35604, -35634, -35668?\n\"Answer: -2*y**2 - 12*y - 35524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 549945 = -212*t - 88*t. Is t != 3629\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 2*z + 13 = 0, z = -z - 6. Solve -4*w - 2*c + 5*c = -x, 5*c - 19 = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 24292 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + s - 3 - 2 = 0, 25 = -3*m + s. Let f be (9\/18)\/((-1)\/m). Suppose -5*j = 5, 7*j - 5*j - 8 = -5*i. Solve i*a - 3 = f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 - 6. Suppose -2*t + 0*t - 8 = y. Let d = -3 - t. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 - 74\/(-6))*15\/(-1). Let v = -122 - k. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 4) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 8\/9*t**4 + 0*t + 20402*t**2 + 808\/3*t**3 + 0 = 0.\nAnswer: -303\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**4 + 2051332*b**3 + 12308088*b**2 + 24616240*b + 16410848.\nAnswer: -4*(b - 512839)*(b + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*s - 3*s + 4*m + 248 = 0, -168*s + 636 = -68*s - 4*m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -102 and 0.261.\nAnswer: -26.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 2*y = -4*z + 6, 4*y - 23 = -5*z. Suppose -40 = -8*o + z*o. What is the remainder when 39 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 - -20. Find the first derivative of -15 - 4*k + i + k wrt k.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**3 + p**2 - 1. Let t(x) = 3*x**3 + 7*x**2 - 4*x - 23. Let w(b) = -t(b) + u(b). Is w(-4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.12*3.2\nAnswer: 0.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-1015)\/(-245) + -6 + 1 + (-676)\/28\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1263 - 4?\nAnswer: -1267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 5*b + 7 = 0, 257*t - 3*b + 29 = 262*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 266542019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = 2*i + 2317, f - 2*i - 473 = -4*i. Suppose 711 = 6*j - f. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 202456273 and 218.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -189*w**4 - 99*w - 39039?\nAnswer: -756*w**3 - 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = d + t - 2, 0 = -4*d + 2*t - 14 - 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**2 + 2*k + 4. Let w be q(3). Let x be w*(-36)\/(-3 - 0). What are the prime factors of (-6)\/(-8) + 15\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2510789.\nAnswer: 2510789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3077 + 3078. Calculate the greatest common factor of 6 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 10*t**2 + 2 - 2*t + 0*t**2 - 2*t**2. List the prime factors of l(3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/3, 4, -75?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.226 <= 207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -130*z - 2017 + 2718 = 2001 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 9 = 8*h. Suppose 0 = h*o - 0 - 6. Factor -12\/7*z - 2\/7*z**o - 18\/7.\nAnswer: -2*(z + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 238.16 rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**3 + 7*v**2 + 6*v + 4. Let y be g(-6). Suppose y*h = 5*h. Find the second derivative of h*z**4 - 3*z**4 + z - 6*z - 8*z wrt z.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 2*sqrt(19))*6.\nAnswer: 18 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/1978 and -31\/15824.\nAnswer: 15824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 3\/7  (b) -0.2  (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*sqrt(605)*3*-6 - ((1 + sqrt(5))**2 + -5 - sqrt(500)*4).\nAnswer: -754*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2437454138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5239 + -5246. Put 3, -24, -3, c, -5 in increasing order.\nAnswer: -24, c, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -29 + 15. Let h = 18 + l. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18 - 18. Suppose 3*j - 2*v + 7*v + 205 = r, 4*v - 4 = 0. Let s be (-41)\/10 + 28\/j. Which is bigger: s or -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gtgggggggtggggggggg. Give prob of picking 1 t and 3 g.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.1056 - -0.083. What is n rounded to 3 decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22910 is divided by 719.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*u + 2*u**4 + 3*u + 3*u**4 - 4*u**4 + 0*u**4 + (1 + 1 - 3)*(4*u**2 - 4*u**2 + u**4) + 1571400*u**3 - 1571400*u**3 + 1169*u**4.\nAnswer: 1169*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve f + 716*f = -813*f - 114942 + 36912 for f.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 72198 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 4 = -4*i, 0 = -2*i - q + 1 - 0. Suppose -i*t + 0 = -2. Is t greater than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 2*c + 4*b, -5*c + 3*b = -0*c. Suppose 3*x - 6 = 0, -y = -3*x - 23 + c. Let u = y - 24. Solve -d = u*m + m, d - 6 = 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (9 - (-6 + 9) - 0) + 52\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1476 - 230. What are the prime factors of g?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjjjjnjjjjjnjjjjjjj. Give prob of picking 2 j.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 183203 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 + 5*s + 23. Let p(c) = -c**3 + 9*c + 8. Let r be p(3). What is m(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16181 divided by 11.\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l**5\/8 - 5*l**4\/8 + 7*l**3\/8 + 5*l**2\/8 - 3*l\/4 = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/(-12))\/(-1 + (-15)\/(-18)). Let y be (-14 + 14)\/(z - -3). Solve 3*j + 3*m = y, 5*j + 2*m = -2*m + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + 452 + 1136. Let d = 794 + m. Let d*p - 28\/3*p**4 + 12*p**3 + 0 - 8\/3*p**2 = 0. Calculate p.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2588 is divided by 509.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21*v + 35*v + 5*v - 15*v to n*v + d and give n.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 461 divide 197308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4 and 524.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 82087106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92 is divided by 89.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6268, 12525, 18782, 25039, 31296, 37553?\nAnswer: 43810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 310347.6 kilograms in tonnes?\nAnswer: 310.3476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (2 + 12\/7)\/((-143)\/(282282\/(-188)))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 - -29. Suppose -2*x = 4*u - 22, x + i = 4*u + 3. Solve -b = -x*c + 10, 4*c = 3*b + 14 - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -155\/696 and 17\/21924.\nAnswer: 43848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 115 + 230. Suppose 0*z = -z + r. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -4*a - 181, 2*q + 2*a = -0*q + 102. What is the common denominator of (-6)\/(-26)*138\/9 and ((-22)\/q)\/((-12)\/410)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 5*n - 257, -2*x + 151 = -2*n + 5*n. Let t be (-1)\/((-3)\/n)*1. Suppose 3*g = t + 4. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -11  (b) 0  (c) 30585\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 + (0 - 1 - -4). Suppose 4*b + 1538 = c*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31992462709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -39.9 + 40.3. Suppose -c + 8 = -2*z, 4*c + 0*c + 3 = z. Let p be 1\/(-4)*(-8)\/z. What is the nearest to 1\/4 in 5, p, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**2 - 11*x + 12. Let h be s(-12). Suppose h = -2*m + 1 - 7. Let g(v) = v**2 - 3*v - 1. Determine g(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q. Let u(l) = -8*l + 66. Let z be 2652\/459 + (-4)\/(-18). Let g(n) = 3*n - 22. Let f(c) = z*u(c) + 17*g(c). What is f(d(v))?\nAnswer: -3*v + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -50*d - 1198. Let b be s(-24). Solve 0 = -b*l + 3*w - w + 6, -5*w + 30 = 4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 84330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 36516 + -33301?\nAnswer: 3215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nlltaddatvtd. What is prob of sequence and?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(77)\/sqrt(7) - (sqrt(11) + (-3 + sqrt(891) - sqrt(11))) - (sqrt(44)*1*-4)\/(sqrt(28)\/sqrt(112)).\nAnswer: 3 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 10256*m**4 - 2650*m**3*o + 45714415*o wrt m?\nAnswer: 41024*m**3 - 7950*m**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1345363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -30.5 + 28.5. Let f = 1 + -0.9. Which is the closest to r?  (a) 3  (b) -0.03  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(3 + -1 + -3). Let s(f) = 5*f + 6*f + 30*f - 61*f. Give s(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2350020*j**2 + 3315*j - 150 wrt j.\nAnswer: -4700040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 128\/(-1344)*(-2)\/(-16)*6. Let s = m - -39\/154. Suppose -6\/11*l**3 - s*l + 0 - 6\/11*l**2 - 2\/11*l**4 = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nssq when four letters picked without replacement from {n: 2, q: 1, s: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes after 9:09 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 157\/2106 and 71\/1217970.\nAnswer: 3653910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -110, -280, -498, -764?\n\"Answer: -24*f**2 - 98*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) -8  (b) -2\/5  (c) 3\/2  (d) 9  (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7023941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 9 + (-18 + (-3 - -10) - -12) + 10\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/292019 or -1?\nAnswer: -2\/292019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together -9117.73737 and -9796.\nAnswer: -18913.73737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*f + 3*f - 2*f)*(-170 - 109*f + 170)*(1 - 3 + 1)*(-3 + 2 + 0)*(-5 + 2 + 1) as u*f + t*f**2 + r and give t.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the first derivative of n**3\/3 - n + 1136. Let c(q) = 4*q**2 + q - 7. Let o = 10 - 5. Calculate o*p(a) - c(a).\nAnswer: a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -3*w - 5. Let v(q) = q + 2. Give -4*c(o) - 10*v(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8 (base 16) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k - 2. Let h be v(-6). Suppose -4*o + 4*u = -h, o + 5*u - 9 = 2*u. Suppose 2*l + 12 = 5*l. What is the least common multiple of l and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 70.00576 - 70. What is g rounded to four dps?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2756165 - -3?\nAnswer: 2756168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 1\/2, -3\/2, 4\/5.\nAnswer: -3\/2, 1\/2, 4\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1151896833.\nAnswer: 3, 23, 5564719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -14*s + 23494*s**2 + 30 + 39262*s**2 - 10. Let n = -581 + 595. Let c be x(n). Round c to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**8*w*w**(-19))\/(w**(-2\/5)*w\/(w\/w**(2\/45))*w*w) assuming w is positive.\nAnswer: w**(-524\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 398\/18 + 344\/387. Sort -4, d, -14.\nAnswer: -14, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.17?  (a) -4\/9  (b) -3\/7  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 86 and 960.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55 is divided by 40?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6\/(-4))\/((-2)\/96*6). Suppose 0 = x + 2*g - 116, -2*g - 2*g + 124 = x. Calculate the highest common divisor of f and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) 1030  (b) -0.22  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 2:05 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n + 5. Let l(m) = 3*m - 4*m - 1 + 5. Let t(b) = -b**3 - 4*b**2 - 2*b - 5. Let z = -10 - -6. Let v be t(z). Determine v*s(f) - 4*l(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -4*t + 2. Let w(m) = 1. Give f(r) - 4*w(r).\nAnswer: -4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 459\/4 + -114. Which is the closest to 0?  (a) 2\/13  (b) -20  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 485846 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18 - -23. Let q(y) be the second derivative of y**3\/3 - 3*y**2\/2 - 9*y. What is q(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, i: 4, o: 12, k: 1}. What is prob of picking 1 o and 2 f?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*b**5 - 112224*b**4 + 1049406488*b**3 - 3269597347376*b**2 - 9847641972348*b + 91636992157424 = 0. What is b?\nAnswer: -7, 4, 9353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 + -14. Let g be (-3)\/2*-2 - q. Which is the smallest value?  (a) 0.3  (b) g  (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.021151 rounded to 4 dps?\nAnswer: -0.0212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 153 + -122. What is the remainder when v is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9922950.\nAnswer: 2, 3, 5, 22051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 759, 1175, 2277, 4407, 7907, 13119, 20385?\n\"Answer: 57*l**3 + l**2 + 14*l + 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 13) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 180\/14*12\/18. Let v = y + -293\/35. Let c = 82 + -412\/5. What is the biggest value in v, -2\/23, -5, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(((-28)\/8)\/7). Let k be 124\/(-217) - (-52)\/42. What is the second biggest value in k, h, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 343465.15\nAnswer: 343470.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 362890038 and -0.5.\nAnswer: -181445019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -2\/5, -1, -2\/7, -3, -1.0763.\nAnswer: -3, -1.0763, -1, -2\/5, -2\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18 - -42. What is n in -8*n + 15*n + a + 21*n - 12*n**2 = 0?\nAnswer: -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 35.11849ng?\nAnswer: 0.00000000003511849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1155 - 605. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-164844)\/(-456) - 366)\/(27\/(-26) - -1).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 393*(22\/(-18) + 1). Let n = l - -88. Is 0 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -3*m**2 - 673*m + 527. Determine s(-225).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 167097 a multiple of 327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 98 - (44 + -3) - 44 - -102\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3643586 less than 57?\nAnswer: -3643529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -31 - -36. Suppose 3*t + h = -10. Let f(y) = y**3 - 8*y**2 + 7*y - 7. Let i be f(7). Sort i, t, 2.\nAnswer: i, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(2\/7)\/(i\/i**(-3)*i))\/(i**(2\/5)\/(i\/(((i*i**(-1\/4))\/i*i)\/i*i*i))))**(-2\/151) assuming i is positive.\nAnswer: i**(821\/10570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8524505683.1 - 0.04.\nAnswer: 8524505683.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -13.64 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -84\/6973?\nAnswer: -84\/6973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d**4\/5 - 3194*d**3\/5 - 3343998*d**2\/5 + 5470708194*d\/5 - 5467361004\/5 = 0.\nAnswer: -1302, 1, 1449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 4*d + 38 = 0. Let b = d + -37. Let m = -10 - b. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1699214 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 326 - 413 - 15*d + 2*d. What is the hundreds digit of t(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -3) + (-3 - -2) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17 - 19. Let c = 18 - q. Calculate the remainder when c is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 239376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 1096*z**3 - z**2 + 1. Let k be c(1). Suppose -6*q = -2*q - k. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-10)\/(-4))\/5*0. Let o(w) be the first derivative of -w**3\/3 - w**2\/2 + 37*w + 1. Is o(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21 - -2) + 3 + (-9 + 17 - 4) - 1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**3 + 4*m**2 + m - 4. Suppose -8 - 4 = -3*j. Let b be q(j). Suppose b = -2*o + 28910 + 5490. Round o to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -115\/1500108 and -31\/5000360?\nAnswer: 15001080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2\/7  (b) -4  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 95250 is divided by 320?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 - 1 - (-6 - 0). Suppose 0 = x - y - 4, 5*x + 2*y - f*y - 16 = 0. Suppose -3*v + 34 = 2*v + 3*b, 0 = 5*b + 10. Solve x = 5*q + v - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**2)**(-5\/6)\/(k*k\/k**(-4)*k*k*k\/(((k\/(k\/k**0))\/k*k)\/k)))\/(k*k\/k**(-1)*k*k*k*k*k**(-2)*k*k**(-6)*k\/k**(-1\/2)) assuming k is positive.\nAnswer: k**(-79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 191262010853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1774725*s**3 - s**2 + 694250?\nAnswer: 10648350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10878, -10962, -11096, -11274, -11490?\nAnswer: -11738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -72243\/2  (b) 0.4  (c) -2  (d) 1\/5  (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7698 + 11617. Is p bigger than 3919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 545.2 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -3*w**3 + 39*w**2\/2 + 156*w - 165\/2 = 0.\nAnswer: -5, 1\/2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**9*i**(1\/14))**(11\/5))**(-2\/21) assuming i is positive.\nAnswer: i**(-1397\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the first derivative of -p**3 + 1. Let k be z(1). Let n = -2 - -1.8. Which is the closest to n?  (a) k  (b) -0.4  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 - 6*r**2 - 7*r - 1. What is s(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = 5*b + 35, -3*b + 2300 - 2317 = -2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1200) + (sqrt(1200) - 4*(sqrt(1200) + sqrt(1200) + -1*sqrt(1200) + sqrt(1200))) - (sqrt(1200) - (-1*sqrt(1200) + 2)))*-5 + -5)**2.\nAnswer: -24000*sqrt(3) + 1920225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, x: 3, y: 1, d: 2}. What is prob of picking 1 x and 2 d?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in fifty-nine quarters of a microsecond?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -38*x - 171. List the prime factors of r(-13).\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2, 329456 in decreasing order.\nAnswer: 329456, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -12\/25  (b) -2.7  (c) 5\/2  (d) 56  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13115?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 - 16 = -5*i. Let o = i - 10. Solve w = -3*f - 3 - 3, -o*f - 6 = 2*w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7576224 - -399.\nAnswer: -7575825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 28471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**2 + 7*i - 4. Let v be k(8). Does 13 divide v\/21 - (-2060)\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2\/5 - -11\/15. What is p in 1\/3 - 1\/3*p**3 - 1\/3*p**2 + d*p = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-3) + (-3)\/(-9). Suppose -p + 7 = v. What is the common denominator of v\/(-14) + 1\/(-2) and -73\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69397 is divided by 11501.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 4:49 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.2 + 1.2. Let k = 4 + m. What is the third biggest value in -0.4, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 233124?\nAnswer: 2, 3, 19427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7189542 milligrams to micrograms.\nAnswer: 718.9542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26747.\nAnswer: 7, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7442, 12\/19, 0.\nAnswer: -7442, 0, 12\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-120 - ((-26 - (-7 + 4)) + 16)) + 1.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 586*c - 2308. Determine h(3).\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*z + 1 = -13*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20567833?\nAnswer: 11, 13, 143831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15411, -14324, -12503, -9942, -6635, -2576, 2241?\nAnswer: 7822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, 598, 5, -1, 4 in decreasing order.\nAnswer: 598, 22, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate 34*r**3 - 879*r**2 + 2*r + 658919 with respect to r.\nAnswer: 102*r**2 - 1758*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -92 + 50. Let k = 42.0142 + l. Let t = k - 0.4452. What is t rounded to two dps?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 + 5 - -3) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -365.99997716 - -366. What is p rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 909 is divided by 42.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14)\/sqrt(32) + -3)**2.\nAnswer: -3*sqrt(7)\/2 + 151\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 917180731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -12252 in -0.5, 2, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -65837.466 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the second derivative of -g**7\/7 - 2*g**6\/15 + g**5\/10 - 5*g. Factor x(j).\nAnswer: -2*j**3*(j + 1)*(3*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 1 = -3*w + 40, -5*f + 3*w = 55. Let p = 19 + f. Calculate the lowest common multiple of p and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4395)\/(-1465))\/(5\/(-8))?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -267263, -266420, -265577?\nAnswer: -264734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - o + 2 + (1 - 1 + 15*o)*(0 - 2 + 4) in the form n + y*o and give y.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:41 AM and 7:31 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 13 = -5. Let b = 3 + h. Let l(d) = 10*d**2 - d + 2. What is the remainder when 97 is divided by l(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + -1. Suppose -2*r = r, w*r + 8 = 4*u. Let t be (4\/u - 3) + 15. Calculate the greatest common divisor of t and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(5 + (sqrt(605)*-3*-6 + sqrt(605) - sqrt(605) - sqrt(605)) + (6*((sqrt(605) - (sqrt(605) + -3)) + -4))**2).\nAnswer: 164 + 748*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(48)*2)\/sqrt(4))\/sqrt(4).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 3\/4 + (-30)\/24\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3681 and 7362?\nAnswer: 7362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 3*c + 187. Let f(l) = -1. Determine -a(g) + 3*f(g).\nAnswer: -3*g - 190","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-3\/4)*s**(-9)*s)**7 assuming s is positive.\nAnswer: s**(-245\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -3954, -3968, -4006, -4080, -4202, -4384, -4638?\n\"Answer: -2*d**3 - 3952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132) + (sqrt(132)*1*-4 - sqrt(132)))\/sqrt(12).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 459579238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5108 * 65.\nAnswer: 332020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*n - 1997 + 478*n**2 + 5*n - 3046 + 706*n**2 + 544*n**2 wrt n.\nAnswer: 3456*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*b + 255 = -177 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 752380.\nAnswer: 2, 5, 37619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 431 + 134 = -3*d, 0 = -2*d + 2*i + 196. Let h = 111 - d. Solve 13 = 4*k + c, 6*k + 4*c - h = 8*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.47 + -5.73. Let x = -6 - b. What is the closest to x in -4, -5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-27)\/6)\/9*-6. Calculate the greatest common divisor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.290107ns to milliseconds.\nAnswer: 0.000000290107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0311883222 to 4 decimal places.\nAnswer: 0.0312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 206 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -18*t**6 + t**4 - 11*t**2 - 29*t wrt t?\nAnswer: -2160*t**3 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 36 - 39. Let h = 3.05 + -0.05. Which is the biggest value?  (a) h  (b) k  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 90*d + 281. List the prime factors of s(23).\nAnswer: 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.3 + -0.2. Let y be (-6)\/22*4\/(-6). Suppose 2*n + 20 = -4*m - 0*n, m + 5 = 4*n. Which is the closest to w?  (a) 0  (b) y  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 11 - 1 - 10)*(-2*y**2 + 2*y**2 - y**4 + (-5*y**4 - y**3 + y**3)*(-9 - 11 + 12)) to the form a*y**4 + w*y**2 + k*y**3 + u*y + i and give a.\nAnswer: -663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most 3\/1693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 139*o - 27*o - 2444445 = -23*o. Is 36 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes before 1:27 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 2*j**2 + 10*j + 9. What is the units digit of d(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - 1)*3*1. Let o(u) = 2*u**2 + 3*u - 3. Let b be o(g). Suppose -2*m = 5*k - b - 9, -3 = 2*k - m. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**3 + 91920*o**2 + 528080400*o.\nAnswer: 4*o*(o + 11490)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 6 = -2*s, 3*q + 1 = 2*s - 3. Solve s*t + 7 - 38 = -2*l, -26 = -4*t - 2*l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 30.8768 + 1.2282. Let w = 32 - k. Let x = w - -0.005. Which is bigger: x or -9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -10.5, 0.1, -0.0008 in descending order.\nAnswer: 4, 0.1, -0.0008, -10.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -96 - 74. Find the common denominator of (p\/(-4))\/1 - -2 and (1 - 2) + 21\/(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 153272 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -4*b**2 + 2*b - 9. Let c(k) = -3*k**2 + k - 8. Let s(o) = -5*c(o) + 4*g(o). Let q be -1 - 2\/((-4)\/10). Determine s(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1231777176 to the nearest integer?\nAnswer: 35097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**2 + 95996*w + 95994.\nAnswer: 2*(w + 1)*(w + 47997)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*p + 177 = 13*p - 3*b, -3*b = -21. What is the remainder when p is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 - 4*i**2 + 2*i - 7. Give j(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + -26. Let w be (-20)\/(-8)*40\/g. Let a = 0.2 + 0.1. Sort a, -1, w.\nAnswer: w, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 32 - 17. Let f = u + -7. Suppose -5*z + 60 = 5*r, -3*r + 2*z = -z - 12. Is f at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -661, 0.16, -2, -1, -6\/11?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 20150 + 64?\nAnswer: 20234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 87 - 45. Suppose z = 2*l + 14. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 4*z + 21 = 0, 4*l + 7 = 5*l + 2*z. Suppose -a - 4 = 2. Let f = a - -6. Solve f = l*q + 38 - 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.5  (b) -4  (c) 14  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*w**2 - 6*w**2 + 8*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssvsslsvlsssssss. What is prob of sequence ssvs?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 - 19 - (-12 - -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/(-2) + (-9 - 165\/(-22)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*k - 148 + 35 = -77 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**(-1\/9)*k**(-2\/15))\/(k\/k**(-1))**(3\/8))**(-37))**(14\/9) assuming k is positive.\nAnswer: k**(46361\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the second derivative of 0*s**3 + 0*s**2 + 104 + 0*s**6 - 2\/21*s**7 + 3\/10*s**5 - s + 137\/12*s**4. What is the third derivative of o(b) wrt b?\nAnswer: -240*b**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -60 - 8451.208?\nAnswer: -8511.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*z - 3*z - 2*z + 11*z + 1.\nAnswer: 21*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 AM and 3:31 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4578 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26, -34, -52, -86, -142, -226, -344, -502?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q - 4. Let r be (-162)\/(-39) + (-8)\/52. Let v(m) = 2*m - 5. Let t be v(r). Let g(s) = s + 3. Determine t*j(w) + 4*g(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 417333 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 55973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (85 - 17 - 86798*d - 41 - 27)*(5*d**2 - d**2 - 6*d**2) to the form m*d**3 + y + p*d + f*d**2 and give m.\nAnswer: 173596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/5 - (-1068885)\/75. Suppose 33*r = 5*r + v. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s + 8. Is d(15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 142151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 11*y**2 - y + 36. Calculate the remainder when f(7) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 53*r**3 + r**2 - 42*r + 90. What is the hundreds digit of l(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1471823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = i + 7, 0 = -4*m - 5*i + 12 + 9. What is the second derivative of 5*x**4 + 6*x + x**m + 0*x**4 wrt x?\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 721954397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttbttbbt. What is prob of sequence tb?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 divided by 16?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -24*l**4 - 4*l**3 + 27*l**2 - 1 wrt l?\nAnswer: -576*l - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/(-6) + (-11)\/(-2). Suppose 5*a = 3*q + 2, 4*q + 3*a = 2*q - 33. Let w = q - -6. Sort 1, w, j.\nAnswer: w, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 + d + 1. Let o(t) = -7*t**2 + t - 11. Let b(l) = -o(l) - 6*q(l). Calculate b(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 189*q + 320 = 221*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -10, -0.2, -0.1, -114 in increasing order.\nAnswer: -114, -10, -0.2, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -1689, 3161 in descending order.\nAnswer: 3161, -6, -1689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3\/22 + -4\/11. What is the nearest to 1 in -0.4, o, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23214?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6065901?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*((-47)\/(-5) + (-10)\/25). Solve 5*n + 16 = -t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n**2 + 2*n**3 - 4*n**2)*(2*n**2 - 4 + 4) - 2*n**5 - 2*n**2 - 6 + 6 - n**3 + n**5 - 10*n**5 + 4*n**5.\nAnswer: -3*n**5 - n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153)*-6)**2 + ((sqrt(102)\/sqrt(2))\/sqrt(3))**2.\nAnswer: 5525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 240 is divided by 63.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 - 27*i**2 - 64*i + 174. Let s be h(29). Solve s = -5*r, -4*y + 104*r + 4 = 107*r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -408*f = 461*f - 17380 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 96447420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*a**2 + 45*a**2 - 7*a**2 - 10*a**2 - 10*a**2 + 426*a**3.\nAnswer: 426*a**3 + 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 51?  (a) 0.1  (b) -12  (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -18289*u - 197. Let y be o(-3). What is y rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 20954632?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -4673389 divided by 2317\nAnswer: -2017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 8*h**3 - h**2 - 4*h - 3. What is r(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 49\/114 + -5\/19. Let o be (2\/2)\/(-1) + 2. What is the nearest to 2\/5 in 3\/2, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.0529 + 0.1529. Is z >= -97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2871.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12342 - -27551. List the prime factors of x.\nAnswer: 7, 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 - -8. Suppose -6 = -f*y + y. Suppose 3*z + 3*w = y*w + 12, -3*w = 2*z - 8. Which is the second biggest value?  (a) 2  (b) z  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gm when two letters picked without replacement from {g: 2, m: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-2128)\/456 + (-552)\/(-99)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 5, -2, 1, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3746710 and 2793002.\nAnswer: 153615110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 3*s = -9, l - s + 7 = -2*s. Let j be (42\/(-117))\/(l\/(-6)). Let k = 261\/182 + j. Find the common denominator of k and -29\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200) - 2*(sqrt(200) - sqrt(200)*-1) - -3*(sqrt(200) + sqrt(200) + (sqrt(200)*-2 - sqrt(200))))\/(sqrt(1210) + (sqrt(1210) - -1*sqrt(1210))*1).\nAnswer: -4*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 178590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10156757 to the nearest integer?\nAnswer: 3187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09 plus 31927?\nAnswer: 31927.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.2 - -2.2. Let x = -1.8 + v. Let g be 588\/(-686) - (-18)\/(-28). Which is the nearest to 0.2?  (a) g  (b) 4  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 6*j - 2*j - 147 = 0, -4*n = -5*j + 114. Let v = -17 - n. Suppose 0 = -0*y + y - v. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -163\/60 and -6 + (-2 - 2334\/(-180)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 32648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 14) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + 3. Let y(d) = -d**2 + 6*d - 6. Let l be y(b). Let f(n) = 2*n**2 - 16*n + 14. Let s be f(7). Sort l, -5, s in increasing order.\nAnswer: -5, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-6\/13))**(-48)\/(d**(-19\/5)\/(d\/d**5)) assuming d is positive.\nAnswer: d**(-1693\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - v = 13, -185*v + 31 = -2*x - 188*v for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1177*i**4 + 3*i**3*l**3 - 14*i**2*l**3 + 2*i**2 - 162*i*l**3 wrt i.\nAnswer: -28248*i + 18*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1289 - -729. Let d = 636 + x. Calculate the remainder when 296 is divided by d.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -685cb (base 15) to base 2.\nAnswer: -1010001000100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 24\/(-8)*1*-1. Suppose t*d + 1728 = v, 5*d + 2605 = 4*v - 4300. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 2\/3  (b) 18\/11219  (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 18\/4 + (-14)\/28. Suppose 0 = -3*w - n - 0 + 4, 3*n - 12 = l*w. Suppose -5*g + 3*g + 286 = w. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**3 - 21*n**2 - 25*n + 67. Let a be t(22). Let y(z) = z**2 + 2*z + 3. Let u be y(-3). Let h = u - 2. What is the highest common factor of h and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -190*b**2 - 179*b**2 + b + 722*b**2 - 179*b**2 - 192*b**2.\nAnswer: -18*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the third derivative of 0 - 4\/27*u**3 - 1\/315*u**7 + 7\/270*u**5 + 0*u - 1\/540*u**6 - 14*u**2 + 0*u**4 + 1\/1512*u**8. Solve o(a) = 0 for a.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 66 and 5203?\nAnswer: 31218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 209 divide 216315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -60.2698 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((2*sqrt(190) + sqrt(190))*-4 - (sqrt(190) - (sqrt(190) + 6*-1*sqrt(190) + sqrt(190))))\/(4*((sqrt(360) - sqrt(360)*1) + sqrt(360))).\nAnswer: -5 - 17*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 4, t: 3, w: 1, u: 4, q: 4}. Give prob of sequence sqq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = i - 3*q, -9*i + 5*i = -3*q - 17. What is the remainder when ((-62)\/4)\/((-2)\/4) is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the first derivative of -18*a**5\/55 - a**4\/2 - 4*a**3\/33 + 15. Suppose y(b) = 0. Calculate b.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 689.2184 + -688.8. What is h rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/(2*(-3)\/(-8)). Suppose h*f - 20 = -0*f. Let g = 0.0499 + 0.9501. Which is the second smallest value?  (a) -0.4  (b) g  (c) f  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 47.5 + -35. Let w = 7 - k. Let g = -5.50000136 - w. Round g to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.37 times -20.817?\nAnswer: 49.33629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6285)\/(-105) + (-1404)\/364?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((sqrt(78) - sqrt(78)*5*-3) + sqrt(78))\/(sqrt(3072)\/sqrt(8)).\nAnswer: -5 + 17*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1059362260 to the nearest integer?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -32534, -64578, -96622, -128666, -160710, -192754?\n\"Answer: -32044*s - 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m - 4. Let h be l(4). Suppose h = 5*a, a = -4*b + 57 - 5. What is the greatest common divisor of 91 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5855 + -45849\/8. Let a = -124 + g. Find the common denominator of (-2)\/(-3)*(-148)\/(-16) and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v + 3*o + 361, 0 = 5*v - v + o - 729. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 270 is divided by 79.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 14) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 5*a = -21, -4*a - 4 = 2*n + 14. Let k be -8 + 2 + n\/(-1). What is the hundreds digit of (k + -2)*(-1 + (-612)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.5 - -1.5. Let g = 25841 + -25843. Suppose 5*b = b - 16. What is the third smallest value in g, w, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -336 + 828. Let u(w) = -w**3 - 6*w**2 - 10*w - 3. Let k be u(-1). Let l(j) = -a*j - 2*j**k + 492*j. Let b(x) = -11*x. Determine b(l(n)).\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -6*(-10)\/18*6\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-47)\/(-1) - (19 + -15). Let q(a) = 44*a + j*a - 85*a. Let f(y) = -13*y**2 - 8*y**2 - 34*y**2 + 10*y**2. Determine q(f(p)).\nAnswer: -90*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -104*w**2 + 523*w - 12. Let l be r(5). Sort 5, l, 0, -4, 2 in ascending order.\nAnswer: -4, 0, 2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + 2 + 7. Let c be (-22)\/(-22) - (0 + -1). Let x be (c\/1*1)\/(-4 - -5). Solve x*k = 4*w - 2, p*k = -5*w + 4*k + 40 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of -3*i**2\/2 + 103*i + 10795. Give w(29).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - z = 2. Let j be ((-1)\/2)\/((-2)\/60). What is the units digit of (12\/j)\/(z\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 128 + 8 - (1870 - 1628).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.1?  (a) -2\/615  (b) 5\/6  (c) 3  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -21042\/1027, 4\/5, -5.\nAnswer: -21042\/1027, -5, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 87, 3, 1, 4, 85.\nAnswer: 1, 3, 4, 85, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*1\/(-7)*16\/((-608)\/(-38))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the first derivative of 5*g**6\/24 + 27*g**5\/20 + 45*g**4\/16 + 29*g**3\/12 + 3*g**2\/4 - 2769. Find j, given that f(j) = 0.\nAnswer: -3, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -2*n + n**3 + 4*n - 2*n. Give o(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 918869 is divided by 9557?\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (4*(2 + sqrt(684)) - (sqrt(684) - (-1 + sqrt(684))*4)).\nAnswer: 6 + 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**2 - 5*s + 1. Let b be h(-6). Let z = 1.65935 - 1.75935. What is the closest to 2 in b, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + t - 4*t = 16, 3*w + 5*t - 5 = 0. Let s(h) = 13*h - 81. Suppose -24*g = -138 - 54. Calculate the remainder when s(g) is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 3*g + 8 = 0. Let x(f) = 4*f - 5*f + 1 + 3. List the prime factors of x(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 3*r**2 + 1. Let c(a) = 2*a**2 - 5*a + 1. Let v be (6 - 7)\/((-2)\/4). Let t be c(v). Let m be f(t). Solve m*q - 5 + 17 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 5842.886 seconds?\nAnswer: 5842886000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 9 = 0, -9*q + 7*q - 3*o - 11 = 0. Is -420\/37 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from {y: 1, h: 7, q: 3, d: 5, o: 3}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 - -7. Let q be ((-5)\/10)\/(v\/8). Solve -2*j + 4*x = 0, j - x + 3*x = -q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8894863, -17789708, -26684551, -35579392, -44474231, -53369068?\nAnswer: -62263903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4.52 or 1\/46?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*m**5 + 212*m**4 - 18704*m**3 + 374656*m**2 - 2587648*m + 3822784 = 0. Calculate m.\nAnswer: -106, 2, 14, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of -r**6\/210 + r**4\/84 + 15*r. Factor o(a).\nAnswer: -a**2*(a - 1)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/5 of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4421241 (base 5) in base 12?\nAnswer: 382a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence peii when four letters picked without replacement from epeeeeiippieeeie.\nAnswer: 27\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2144360 or -2144361?\nAnswer: -2144361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 321*g - 183*g = 2484 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f + 6. Let j be r(0). Let v = j - 4. Suppose -2*a + y + 5 = -a, -v*y - 13 = -3*a. Solve -a*b + 5 = 5*l, -3*l + 3 = -0*b - 5*b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -48, -47, -46?\n\"Answer: a - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -57 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 433911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 2 + 2 = -2*v, -v + 13 = 4*t. Is (-4 - (-1 - t)) + 15071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.307 - 0.193. What is the second smallest value in 1, b, 7\/19?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - x + 2 = -18, 0 = 2*u - 3*x - 36. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/27842 <= -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/(i\/((i**(-3\/8)\/i*i)\/i)))\/i*i*i*i*(i*i**(2\/7))\/i*(i*i**(1\/4))**(-32)*(i**(-8)*i**(3\/2)\/i)**44 assuming i is positive.\nAnswer: i**(-20613\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - (-6 - (60\/5)\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mutu. What is prob of sequence ut?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 6*h**3 + 86*h**2 + 26*h - 24. Let l be g(-14). Which is the third biggest value?  (a) 7  (b) 3  (c) l  (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**3 - 11*x**2 - 12*x - 12. Let d(f) = -f**3 - 10*f**2 - 13. Let p be d(-10). Let r be p - (-6 + 2 - -1). List the prime factors of b(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 3*w = 25. Is w greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 10\/(-3)*12\/(-10). Let g(b) = -b**3 + 5*b**2 - 4*b + 3. Let m be g(l). List the prime factors of m\/(-12) + 25\/4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = c - 12, r = 4*c - 15. Suppose 2*o = l, -o + 4*l + r = 15. Sort 5, o, -3 in ascending order.\nAnswer: -3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*n**2 - 29*n**2 - 9*n**2 - 25*n**2.\nAnswer: -91*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 2*j**2 - 20*j + 17. Let w be f(11). Let x = 39 - w. Suppose x = b - 6*b + 260. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/(-5) - 6\/15. Let z be r - (2\/11 - 1). Let f = 6856 + -61702\/9. Which is the nearest to 1?  (a) -4  (b) z  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the first derivative of 12*b + 1085*b**3 - 276 + 192*b**2 + 2883\/4*b**4. Factor h(d).\nAnswer: 3*(d + 1)*(31*d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -8*v**3 + 17*v**2 + 11*v - 8. Let m(d) = -d**3 + 2*d**2 + d - 1. Give -9*m(f) + q(f).\nAnswer: f**3 - f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118 = 14*a + 3*c, 8*a + 112 = -a + 5*a + 3*c + 30 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (4 + (sqrt(275) + 0)*-4 + (sqrt(275) - -2*-1*sqrt(275))*2)**2.\nAnswer: -240*sqrt(11) + 9911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (25*396\/(-8250))\/(3\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/(-48)*60\/(-5). Is -0.42 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 91, -35, 5, -4 in increasing order.\nAnswer: -35, -4, 5, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes after 11:30 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.06  (b) -45  (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 2*u + 4*j, 3*j + 15 = 7*u - 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 11:48 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 9 = -0*j + 4*d, -d = 2. Calculate the remainder when j is divided by 57\/6 - 2\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 - -33. Suppose -v + 5*g + 19 = 0, 3*v + 3*g + s - 110 = 0. Let q = -10 + v. Calculate the smallest common multiple of 22 and q.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 131129\/8 + -16391. Factor f*q**2 + 1\/8*q**3 - 1\/8 - 1\/8*q.\nAnswer: (q - 1)*(q + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w + 2. Suppose 488 = -5*k + 3*x, -2*x + 486 = -5*k - x. Let f = -106 - k. Determine j(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 - (65 + -86 + 18)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*q - 2*r, 4*r + 40 = 5*q + 9*r. Find the second derivative of q*i - 2*i - 5*i - 2*i**2 - 6*i**2 wrt i.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/(-2) + (-4 - (-4 - 2)). Let w be m\/12*(2 - 1 - 1). Let o(y) = 2*y + 6. Calculate the least common multiple of 16 and o(w).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 53*l + 1. Let p be m(2). Suppose 4*f + 118 = 2*j, j = -0*j - f + 68. Let u = p - j. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1*(-7 + 1 + -1). Let f(l) = 7*l - 5. Let r(b) = 21*b - 17. Let v(t) = -10*t + 8. Let c(h) = -2*r(h) - 5*v(h). What is q*f(m) + 6*c(m)?\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -233 - 24*b**2 + 33 + 202.\nAnswer: -24*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 + 12. Let k(c) = 11*c - n + 0 - 5*c. List the prime factors of k(6).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-3 + sqrt(288)*-2 - ((sqrt(288) + 0 + sqrt(288) + sqrt(288) + sqrt(288))*1 - sqrt(288)) - (-2 + 0 + 2*sqrt(288))*-3)**2.\nAnswer: -1296*sqrt(2) + 2214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 - 1. Let k(d) be the first derivative of 5*d**4 - d**3\/3 - 5*d**2\/2 - d + 333. Is k(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -0.1 = 26662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 - -7. Let f = -1545 - -1544.9. Is f less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.05 in -4, -0.2, -35, 1, 20.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 11*l**3 - 2*l + 2. Let j be t(1). Suppose 0 = -4*y - 5*o - 4, y = -j*o + 10*o. Solve 6*b = -a + 4*b + 6, 10 = 3*a + y*b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 6*h**2 + 10*h + h**3 - 5*h - 3*h - 8 - 9*h - 2*h. Calculate z(-8).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/15*1*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 820 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -2\/235?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -8*v**3 + 3*v**2 - 3*v + 2. Let h(x) = -x**3 + x**2. What is -3*h(w) + z(w)?\nAnswer: -5*w**3 - 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 210\/(-120) + 250\/152. Which is the closest to 0?  (a) 24  (b) o  (c) 1\/12  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3 + 18*i**2 - 14*i - 35. Let c be p(17). Calculate the highest common factor of c and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -5*r, 0*t = -2*t + r + 2. Suppose 3*w = -3*y - t + 18, -5*w - 2 = y. Factor i**3 - y + 12*i + i**3 - 6*i**3.\nAnswer: -4*(i - 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1813, -3022, -4973, -7612, -10885, -14738, -19117?\nAnswer: -23968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0, 0.4, 0.2, -26 in increasing order.\nAnswer: -26, -4, 0, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the second derivative of -d**5\/20 - 5*d**4\/12 - 2*d**3\/3 + 3*d**2\/2 + 4*d. What is the units digit of h(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5665\/(-110)*(1 + 7\/(-5)). Which is bigger: j or 1\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -224 + -d22b?\nAnswer: -d451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -4*a + 12, 0 = 17*a - 16*a + 2*t + 8. Suppose -3*w - w + 400 = a. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 119, 2\/5, -0.07, 1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 942 and 12.\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48930*z**2 + 24480*z**2 + 11*z**3 - 38*z**3 + 24476*z**2 + 28*z**3.\nAnswer: z**3 + 26*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14.29 - 0.29. Let f = 8 - r. Let y = -6.1 - f. Which is the closest to y?  (a) -0.4  (b) -2  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 623, 5221, 17693, 41975, 82003, 141713, 225041?\n\"Answer: 656*g**3 + g**2 + 3*g - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes before 7:05 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - 42 = 0, -b + 266*z = 261*z + 75 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.042 - 0.142. Which is the second smallest value?  (a) 0.4  (b) -11\/3  (c) g  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/5400 and 181\/35100?\nAnswer: 70200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1900) - (sqrt(1900)*-2 + sqrt(1900) + 0)) + sqrt(1900) + (-2 + sqrt(171) + 1 - sqrt(171))**2.\nAnswer: 1 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -926, -930, -934?\n\"Answer: -4*t - 922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uff when three letters picked without replacement from fuffu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-25)*k*k*k*k*(k\/k**0)\/k assuming k is positive.\nAnswer: k**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 38565443 to the power of 1\/3, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-7) - (-16)\/7. Let q(w) = 4 - 4 + a*w**2. Let s(h) = 3*h - 166*h**2 + 167*h**2 - 3*h. Determine q(s(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in five sixths of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f - 88 = -2*y, -10*f = 2*y + 14*f - 7*f - 356 - 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -550, -1102, -1654, -2206, -2758, -3310?\n\"Answer: -552*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 121 + -242.9. Let w = m - -134. Round w to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 30 + -114?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/4, -143\/6, -1, 1\/6, -3.\nAnswer: -143\/6, -3, -1, -3\/4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 48692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15035\/28 - -3764\/7. Let o = 4 + -2. Let w be -2*(-1 + (-2)\/4). What is the closest to 1\/2 in o, w, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -997776 by -312.\nAnswer: 3198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -79 + ((-13 - -15) + -48 - -12).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4416392\/3 + 2\/3*r**2 - 5944\/3*r.\nAnswer: 2*(r - 1486)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4*((-11)\/(-4) - 2). Let w be (4 + -2)*77\/21*3. Find the second derivative of 50*f**2 + 14*f**j + w*f - 50*f**2 + 9*f**3 wrt f.\nAnswer: 138*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from fttttff.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 25865 and 2887273?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/(-50)*5)\/(1 + -7)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n**4 + 60*n**3 + 65*n**2 = 0. Calculate n.\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 - 0. Suppose c - 6 = -2*y, h*c - c - 2*y - 2 = 0. Suppose -c = -2*w - 0. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -23) + 1 + -113 + 62 + 54\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 112*d - 64. Let y(n) = -895*n + 511. Calculate -47*b(t) - 6*y(t).\nAnswer: 106*t - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -4  (b) 1\/18  (c) 4  (d) -341\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -1\/4  (b) 3  (c) -3\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 - -10. What is the second derivative of 0*j**4 - 5*j + j - 3*j**v + 5*j wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 23 = 3*j, j + 4*p = -0*j - 1. Let i(g) = 2*g**2 + 37*g + 22. What is the remainder when j is divided by i(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2990931 to the power of 1\/2, to the nearest integer?\nAnswer: 1729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3.99 + 0.01. Let k = -2.0197 - -0.0197. What is the third smallest value in c, -5\/6, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -0.06, 14, 2\/15 in decreasing order.\nAnswer: 14, 2\/15, -0.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -281*j*m**3 + 77*j*m**2 + 2*j - 1163*m**3 - 13708*m**2 - 3*m wrt m?\nAnswer: -1686*j - 6978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11890387 to the power of 1\/3, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w - 5 - 1. Put -5, w, 0 in decreasing order.\nAnswer: 0, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -4*z**2. Let d(u) = 747*u**2. Determine g(d(i)).\nAnswer: -2232036*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*h = -54*h. Let g be (-28 + -4)*(-9)\/(-12). Let a = g + 26. Solve -4 + 5 = 3*y + a*f, y + 3*f - 5 = h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2964*f - 8908*f - 1506859 = -777974 + 778859 for f.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -38*r. Let l(j) = 338*j. Let i(o) = -6*l(o) - 52*v(o). Let b(p) = -72*p. What is i(b(c))?\nAnswer: 3744*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9 or 8175126?\nAnswer: 8175126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 17305487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 212 + -207. Solve 0 = 5*h - 2*i + 17, 3*i = 4*h + 20 - k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*a**3 - 2*a**3 + 36*a - a**3 + 9 - 35*a to the form c*a + j*a**3 + n + v*a**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*r**2 + 3*r**2 + 7076930 + 5*r**2 - 7076930.\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 - -7. Suppose 0 = 2*h - i - 2. Find the third derivative of 4*q**h - 3*q**2 + 0*q**3 + 2*q**3 wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2003*l**5 + 213*l wrt l.\nAnswer: 40060*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*a + 14*a + 2*p = -24, 3*p - 16 = 2*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -359*17\nAnswer: -6103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -57 - -110. Suppose 0*b = 5*b - 20. Suppose -z = -y + q, -2*y + b*q + q + 106 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 16) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 135171 and 264339?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.77 + 0.87. Let g = 219 - 156. Let u be (-2)\/14 - (-27)\/g. What is the nearest to 0.2 in a, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 3*m**3 - 10*m**2 + 3*m - 2. What is p(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z**2 - 3*z + 3*z + (-z - z + 0*z)*(-4*z - 2*z + 5*z))*(-133472*z + 2159*z**2 + 133472*z).\nAnswer: 8636*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5827 is divided by 2904?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -4*y + 223, 3*y - 3*u + 7 - 181 = 0. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from sgttgtgggqtt?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*v + 15*v = f - 504, 4*f - 4*v = 1968. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*1340\/(-145926)*-1*5\/25.\nAnswer: 2\/363","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -525859 or 614?\nAnswer: -525859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -4*z**2 + 2*z**2 - 4*z**2 + 4*z**2. Let i(p) = 8*p**2 - 2*p**2 - 4*p**2 + 2*p**2. Determine i(x(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -z - 21 + z - z + 2*z in the form l*z + m and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.96 + -0.04. Suppose 0 = -174*s - 163 - 56 - 303. What is the closest to -1 in s, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -897df + -9?\nAnswer: -897e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - w = -49, -2*d + w - 2*w = -22. Let b = d - 6. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -78*(-63)\/(-18)*-2. What is the highest common factor of 234 and p?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = u + 20. Suppose -u - 2 = -5*t. Let g(d) = -512*d + 508*d - 2*d**2 - 5*d**t + 3*d**3. Let c(n) = -n**2 - n. What is 3*c(a) - g(a)?\nAnswer: 2*a**3 - a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -12741 divided by -4\nAnswer: 12741\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -2*q**2 - 117*q + 67. Let m be i(-59). Is -69 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46580*s - 17 + 8 + 9.\nAnswer: -46580*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (12 - 21)*((-160)\/(-12))\/4. Is f at least as big as -245\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 702*c = 439*c - 2630 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 2*j**2 + 2*j - 3. Let n(d) = 2*d**2 + 2*d - 4. Let f(o) = 5*m(o) - 4*n(o). List the prime factors of f(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/3 or -1432881?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -114 + 153. What is the remainder when a is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**2 + 62*x + 395. Determine m(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 i, and 1 w when three letters picked without replacement from elwellieiiee.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 PM and 6:07 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/25  (b) -1\/2  (c) 5\/341\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -185*s + 5250 = -14*s - 1419 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m = -2*p + 12, -5*m = -4*m - 3*p + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2151766919 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -9*n**2. Let g(j) = 1. Let f(t) = -b(t) - 4*g(t). Differentiate f(d) with respect to d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*x + 13*x. What are the prime factors of (0 + 4 + x)*101\/2?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -18 + 10. Let y be (-24)\/8*b\/6. Suppose y*k + 6*u = u + 42, 20 = 3*k - 2*u. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**9\/p*p\/(p**(-2\/13)*p)*p)\/(p*p**(9\/4)*p*p*p\/(p*p\/p**(-4))*p*p) assuming p is positive.\nAnswer: p**(359\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/3 - 170\/3. Let c = -8 - l. Let t be 8*(-4 + 55\/10). Calculate the greatest common divisor of t and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2371, 2477, 2641, 2869, 3167?\n\"Answer: o**3 + 23*o**2 + 30*o + 2317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2788)\/(-4879)*7\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -44 (base 11) to base 5\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -548605 by -5.\nAnswer: 109721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2660807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 718382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -5*f + 20, 0*f + f - 5*m + 14 = 0. Let i be (f + 0 - -1) + -3. Let q = i + 23. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 2*t**3 + 4*t**2 + 2*t - 3. Let g be l(2). Let u = 36 - g. Solve 3*b + u*n - 15 = 0, -2*b + n = -0*n - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*l**2 - 5*l**2 + 2*l - 9*l**2 + 0*l**2.\nAnswer: -22*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 3 + 0)*(-4 + 4 - 1) + 4 + 0 - 2 + 2 + 4 - 4)*(4*k - 5*k + 4*k) + (39*k - 41*k - 5 + 0)*(7 - 2 + 3) + 2*k + 2*k - 2*k.\nAnswer: -8*k - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 654 + 0*h**3 - 772 - 3*h**3 + (1 - 1 - 1)*(1 - 1 + 2*h**3).\nAnswer: -5*h**3 - 118","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 107999*x + 4369*x + 12247*x + 116950*x.\nAnswer: 241565*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1921806?\nAnswer: 2, 3, 11863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(-15\/2))**(2\/89)*c**(2\/97)*c*c**(-10\/11)*c assuming c is positive.\nAnswer: c**(123693\/94963)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -65 + 19. Calculate the remainder when 71 is divided by -5 + x\/(-9) + 323\/9.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*x - 4*x - 3*x)*(-2 + 1 - 2 - 2 + 1 - 1 + 5 - 2 - 1 + (0 - 5 + 3)*(-1 + 5 - 3) - 63 - 20 - 31 - 5 + 2 + 2) as z + q*x and give q.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/o**(-4))\/(o\/(o\/(o*o**(-6)))*o))**(3\/5)*((o**0\/o)**(-15\/8))**(-19) assuming o is positive.\nAnswer: o**(-237\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*a - 6*a - a + 8*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-22)\/(-30) - 4\/10. Suppose 3*q = 2*w - 2*q + 1, 3*w - 7 = -q. Suppose -w*r = 3 - 1. Which is the biggest value?  (a) -3  (b) t  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -338, -705, -1144, -1691, -2382?\n\"Answer: -6*x**3 - 325*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.674 + -0.326. What is the third smallest value in 1\/28, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 659 = 668. Solve -c*f - 32 = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -143 + 2*t + 143 - 3*t. Let u(b) = -4*b + 6. Give u(c) - 6*z(c).\nAnswer: 2*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 343.8 - 344. Let s = 0.2 + 3.8. What is the third biggest value in -7, -1, v, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 21631924?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 6*o**3 - 2*o**2 - o + 1. What is v(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*w**2 + 4*w**2 - 9*w**2 - 2*w**2 - 3*w**2 + w**2 + (-3*w + 5*w + 4*w)*(-3*w + 9*w - 2*w) to the form b*w + o*w**2 + s and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 71?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 63783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**3 - 5*s**2 - 5*s - 9. Let l be v(-4). Let r = -16 + 14. Sort -1, l, 2, r in decreasing order.\nAnswer: 2, -1, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.061  (b) -5  (c) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-36)\/15)\/(-10*(-13)\/(-325))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*z + 2*z - 3 - 14*z)*(6*z**4 - z**4 + 0*z**4).\nAnswer: -5*z**5 - 15*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1358 + 41?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1.649 times 10\nAnswer: 16.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-22))\/(2\/16*6)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 1020 = -2*p - 24*i, -2*i - 102 = -2*p + 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*f = 13 - 76 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 12*n**3 + 6*n**2 - 8*n - 15. Give k(-2).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**2 + 5*i + 47. Let o be h(9). Is 4421 + -5 + -6 + o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 341*v + 13222 = 420*v + 522*v for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127765*w + 234 = -127804*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (780\/(-56))\/5 - -2 and 37\/32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 229 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14574*d + 2102*d = -1200672 for d.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*d + 35*d + 23*d - 20*d.\nAnswer: 75*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum 46230847 and 0.002.\nAnswer: 46230847.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:12 PM and 11:39 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-168)\/(52 - 46)*(15\/(-4) - 1). Solve s*l - 136*l = 18 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6\/96*-20)\/((-1)\/(-4)). What is the nearest to -0.2 in 1\/9, -0.4, c, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the first derivative of -s**3\/3 - 45*s**2\/2 - 38*s + 87. Let a be j(-44). Solve -n = -a*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*(m**(-2\/33)\/m)\/m*m\/m**0)**17 assuming m is positive.\nAnswer: m**(-34\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1049 a factor of 1966875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*o - 4*k, -2*o + k = -0*k - 7. Solve 0*l + 23 = -5*h + 4*l, 0 = 5*h + o*l + 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*p**5 - 15*p - 8*p**4 - 76*p**3 + 152*p**3 - 76*p**3 wrt p.\nAnswer: 120*p**3 - 96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 11*a**3 + 291*a + 988*a + 90*a - 74*a**2 - 10*a**3 = 0.\nAnswer: 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 446515 is divided by 59.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c + 1. Let z(p) = -5*p. Let k(h) = -3*l(h) - z(h). What is k(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-32)\/(-48))\/(3\/9*7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -7 + 2 + 1 + 8 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1857*n = 4021*n - 790*n - 131147 - 286069 for n.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 4*p = -16, -3*p + 5 = d + 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 51243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -49106 times -0.2\nAnswer: 9821.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7402564*b**5 - b**2 - 64*b - 2604 wrt b.\nAnswer: -444153840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000329145 to seven dps.\nAnswer: 0.0000329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.529 + 0.329. Which is the closest to 0?  (a) y  (b) -0.38  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**2 - 3*i - 1. Suppose 0*u - 2*u - 2 = 0, 5*r - 61 = u. Suppose 2*k + 2*k = r. Calculate p(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1472252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 11617751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 2*f**5\/5 - 366*f**4\/5 - 826*f**3\/5 + 3198*f**2 - 2960*f = 0.\nAnswer: -8, 0, 1, 5, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 2*s. Let w(t) = -t**2 - 6*t - 1877. Give w(d(c)).\nAnswer: -4*c**2 - 12*c - 1877","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + sqrt(425) + -1)*-1 + sqrt(17) + 6*sqrt(85)\/sqrt(5) + (sqrt(17) - sqrt(136)\/(sqrt(56)\/sqrt(7))))**2*1.\nAnswer: 16*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {j: 1, s: 2, r: 2, k: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -13*i + 5. Let z be g(-2). Do z and 31 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**4 - d. Let x(p) = 25*p**4 - 5*p + 57. Let o = -7 + 8. Let k(m) = o*x(m) - 5*y(m). Differentiate k(q) wrt q.\nAnswer: 80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 9, x: 9}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12 by -12359026.\nAnswer: -6\/6179513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49572?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15\/8 or -1115.62?\nAnswer: -1115.62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (0 - 2) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 3*c**3 - 133*c**2 - 229*c - 43. Calculate m(46).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9694354?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.003 - -0.003. Let b = -0.1 - 0. Let p = b + 0.2. What is the second smallest value in f, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/11, -1\/33, 1273, -124 in descending order.\nAnswer: 1273, -1\/33, -1\/11, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = -4*p. Suppose p*i - 2*i + 42 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 5*y = 18. Let j = -3 - y. Let s = 9 - j. Solve s*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6145669?\nAnswer: 23, 267203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101 = 7*q - 108 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7287000 = 27*i - 20*i. Round i to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h*h*(h\/h**(1\/4))\/h*h)**30\/(h\/((h**(-1)*h)\/h))**(-2\/5) assuming h is positive.\nAnswer: h**(1133\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -32*y**4 - 6*y**4 - 27*y**4 + (-y**2 + 2*y**2 - 3*y**2)*(4 - 2*y**2 - 4).\nAnswer: -61*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/(-11))\/((-1)\/(-2)). Let u = 43\/135 - -2\/135. Which is bigger: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 10314485 - 4?\nAnswer: 10314481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {e: 3, m: 2, h: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 497 + -1071\/2. Let m = -25345\/8 - -3172. Calculate the common denominator of i and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10061 (base 10) in base 13?\nAnswer: 476c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1009*r**2 - 90*r**6 + 50178 - 50176 - 2*r**5 - r**5 wrt r.\nAnswer: -10800*r**3 - 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -113323 (base 4) in base 10?\nAnswer: -1531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 67\/4  (b) 0.12  (c) -4  (d) 0.3  (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -29253582 and -0.2.\nAnswer: 5850716.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(2057) + 0 + sqrt(2057))*-5.\nAnswer: -110*sqrt(17) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -2*y + 1. Let s be (2\/(-3))\/((-4)\/(-30)). Let v be w(s). What are the prime factors of (v\/(-2))\/((-9)\/36)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -3*d**2 - 8. Let x(i) be the first derivative of -2*i**3\/3 - 5*i + 24. Let b = -254 + 259. Calculate b*u(s) - 8*x(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3806 - 3865. Which is the nearest to 1?  (a) 5  (b) v  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -63530 divided by 63530?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**3 + 27*f**2 - f + 33. Let r be o(27). Solve 4*q - r = 2*s, -3*s - 6 = 4*q - s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r = 4*n + 40, 5*n = 121 - 171 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 equal to 7\/674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 - 8. Let j = w - -3. Solve -4*g + 8 = -j*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 3*y**2. Let t(h) = 221*h + 116*h - 49*h - 56*h + 159*h. Calculate t(w(k)).\nAnswer: 1173*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:49 AM and 8:38 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(425) + -4 - sqrt(425))**2*6 - (-3 + (1 + sqrt(425)*-2)**2 + sqrt(425))) + 3.\nAnswer: -1545 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 17008365 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -8 + 8 + -12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r**2 + 4*r**2 + 2*r**2)*(-6*r**2 + 1 + 8*r**2 - 2).\nAnswer: 4*r**4 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 0*d + 2*w = 11794, 0 = 5*w + 15. Let f(c) = 11800 + c**2 - d. Let s(j) = 3*j - 11*j - 8*j. What is s(f(p))?\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -24\/2808817 and -31\/88.\nAnswer: 22470536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 8694024 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-23*u**2 + 38*u**2 - 16*u**2)*(-19*u - 7*u - 7*u + 20*u) to the form x*u**2 + y*u**3 + q + d*u and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*r**2 - 31*r + 21 - 5*r**2 + 6.\nAnswer: -r**2 - 31*r + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -54\/1016825 and -67\/2237015.\nAnswer: 11185075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -7*o**2 + 10*o - 4. Let z(v) = -v**2 + v. Let b(k) = -i(k) + 4*z(k). Let s be 2\/8 + (-34)\/8. Let t(w) = 2*w**2 - 5*w + 3. Determine s*t(g) + 3*b(g).\nAnswer: g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 12, 214 in decreasing order.\nAnswer: 214, 12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.074714 + 1.0326. Let r = d + 0.042. Round r to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -299 - -302. Put 2, -2, f in increasing order.\nAnswer: -2, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 1, 0.5, -2\/5 in decreasing order.\nAnswer: 1, 0.5, -2\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 251*h**3 + 11*h**2 - 154*h - 715. Let f(b) = -50*b**3 - 2*b**2 + 28*b + 143. Give 11*f(v) + 2*s(v).\nAnswer: -48*v**3 + 143","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*c = 580. Let j = c - 79. Suppose -s + 6*s = 5*a - 145, -2*a = 2*s - j. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20)\/4*(-13)\/(-286)*6\/5?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 + 75*p**2 + 155*p - 45. Let t be g(77). Solve -95*u = -87*u - t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 - 1)*(4 - -1). Let j(q) = -q**3 - 3*q**2 + q + 1. Let x be j(-3). List the prime factors of x\/(-2)*m*2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4 - 7)\/(6\/(-4)). Suppose y*s + 51 = -s. Let z = 21 + s. What is the third smallest value in -5, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6*(-13)\/78*(-2)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -49 * 17.\nAnswer: -833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.165667417 to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3511790930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m + 9. Let i be b(0). Let k(n) = -2*n**3 - 27*n**2 + 65*n - 240. Let c be k(-16). Solve c = -2*y + 5*y + i for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (96\/32)\/(1*(-6)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 y when three letters picked without replacement from {f: 5, g: 1, m: 5, y: 1, n: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u*u**(-1\/5))\/u)\/(u*u**(-2\/7))*(u\/(u\/(u\/(u*u**1))*u))**(-20) assuming u is positive.\nAnswer: u**(1403\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 353 + -368 - (-23 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 5*n = g + 2606, -4*g + 3448 = -4*n. Let r = 341 + n. Let v = r - -4201\/8. What is the common denominator of v and -41\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 5 + 4. Suppose 5*h + 13 = c, 3*d + h - 22 = 0. Find the third derivative of 2*v**3 + v**3 - d*v**2 + 11*v**2 wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 6 = 24. Let o be 15\/z*(-7 + 1). Suppose o = i - 10. Calculate the remainder when i is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -401365, -803119, -1204863, -1606591, -2008297?\n\"Answer: j**3 - j**2 - 401758*j + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 10*a**2*n*x - 440*a**2 + a*n - 169*n*x wrt x?\nAnswer: 10*a**2*n - 169*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61*y - 31620 = -81*y. What are the prime factors of y?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 6*l**3 - 2*l**2 + 3*l - 2. Let i be a(1). Let f(v) = -2*v**2 - 8 + 13 - i. Let g(p) = 2*p**2. Calculate g(f(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1024103124 + 32?\nAnswer: 1024103211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000919213 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 0.0476\nAnswer: -0.0952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -97256, -97481, -97856, -98381, -99056?\nAnswer: -99881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 28692, 58109, 87530, 116949, 146360, 175757, 205134?\n\"Answer: -a**3 + 8*a**2 + 29400*a - 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -176*p**4 - 130*p**3 - p**2 + 2*p - 244738 wrt p?\nAnswer: -2112*p**2 - 780*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29 - 9 = -4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve q = -d - 89 + 79, 14*q - 5*d = -2*d - 0*d - 55 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 3*m**3 + m**2 - m. Let f be 7 + -5 - 14\/1. Let y = f - -13. What is x(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**5 + 4*z**5 - 8*z**4 + 6*z**3 - 8*z + 138*z**2 - 257*z**2 + 127*z**2.\nAnswer: 2*z*(z - 2)**2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m. Let g(s) = -2*s. Let d be 1 + -1 + (-1 + 2 - 0). Give d*y(r) - g(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5842 is divided by 346.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2\/15, 0.4, -97\/4, 0.3, -1 in descending order.\nAnswer: 4, 0.4, 0.3, 2\/15, -1, -97\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 161 + 683. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(288) + 0)**2 + 0 - (6*(sqrt(288)*2 + 5 + sqrt(288)))**2)*2*6.\nAnswer: -1127088 - 155520*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, 1\/3, -2, -1\/8.\nAnswer: -2, -1\/8, 1\/3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:14 PM and 7:54 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*(-5 - -11) - 5 - -819. Let u = z + -152. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**2\/3 - 56516*v + 1187424.\nAnswer: -4*(v - 21)*(v + 42408)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -132 - -108. Let z be i\/(-5) - (80\/(-25) + 4). Solve -k = z*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -463 + 465. Let w(p) = 2*p**2 - p - 4. Let n(c) = -c**3 - 5*c**2 + c + 8. Calculate t*n(q) + 5*w(q).\nAnswer: -2*q**3 - 3*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -6*q**3 - q**2. Let y = -12 + 11. Let i be o(y). Suppose x - 3 = -2*m, -i*x - 3*m + 33 = -2*m. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 2*x**2 + x + 3. Let n(p) = -11*p**2 - 13*p - 18. Let o(d) = n(d) + 6*v(d). Calculate o(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7550.\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**8\/(v\/((v\/(v\/(v*(v**(5\/4)\/v)\/v)))\/v))*((v\/((v\/(v\/(v\/v**26*v)))\/v*v))\/v)\/v*v\/v**(3\/2) assuming v is positive.\nAnswer: v**(115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 22.18826 to two decimal places.\nAnswer: 22.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6381767 + -6381754.999949. Let a = f - 12. What is a rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (-3 - (-4 - -12)) + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.5754 - 0.4246. Which is the closest to 3?  (a) h  (b) -1  (c) -0.17  (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 7, 61 in descending order.\nAnswer: 61, 7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 103.04 - 102.84. What is the smallest value in 3, -1\/3, h, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 3*o - 16. Suppose -u - 3 = -4, 6 = i - u. Let m be x(i). Suppose -19*k**2 - 9*k**2 - 4*k**5 - 10*k**m + 32*k**4 + 22*k - 4 - 8*k**3 = 0. Calculate k.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*p**3 + p**3 - 3*p**3)*(-2*p - 3*p + 4*p) - p**4 + 3*p**4 + 0*p**4)*(-10*p - 5*p + 8*p).\nAnswer: -28*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 1 + 1 + i**2 - 11*i + 5 - 3*i. Suppose -1091*d = -1111*d + 120. Determine o(d).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -w - 6, 0*q + 5*q + 5*w - 20 = 0. Let k be (-328)\/(-10) + (-38)\/10 + 4. Let m = k - 35. Which is the second biggest value?  (a) q  (b) m  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 378 is divided by 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sjjajaaaaaaaoaeaaas. Give prob of picking 2 s and 2 a.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 23 and -37.47.\nAnswer: -861.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s = -4*s + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45*x + 145*x - 10*x - 46*x - 48*x - 29*x.\nAnswer: -33*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 348 and 1508.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6*14\/(-189) + 93\/27.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -905257 from 16889.\nAnswer: 922146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 18.9931 - -35.1764. Let a = g - -0.0305. Round a to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*r**3 - 4*r**3 + 19*r**3.\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-10)\/4)\/5*56. Let k be v\/(-8) - (-6)\/(-4). Suppose -2*i + 132 = k*i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 251 a factor of 3455520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 15 - 2453?\nAnswer: -2434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -31*x + 28*x + 88, 4*d + x = 76. Let w be ((-3)\/6)\/((-5)\/(d\/(-3))). Sort -0.4, w, 0.01, -0.1 in ascending order.\nAnswer: w, -0.4, -0.1, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1329936, -1329947, -1329958, -1329969, -1329980?\n\"Answer: -11*q - 1329925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + 27 + 1905 + -2013?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*l - 89909 + 90470 = 0 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(99) - (5*(sqrt(99) + -1*sqrt(99)) - sqrt(99)) - -6*1*sqrt(99))\/((sqrt(2646)*4 + sqrt(2646))\/sqrt(6)).\nAnswer: 8*sqrt(11)\/35 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 110292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.266 + 0.066. Which is the biggest value?  (a) 3\/5  (b) s  (c) -1  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and 442?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 155 + -73. Let k = g - 82.047. What is k rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 406143 take away 0.4?\nAnswer: 406142.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = l - 4*j, j - 3*j + 15 = -3*l. Let k be -2*l*(-1)\/(-2). Let c be k\/((-2)\/(-6 - -4)). Solve 4*t - 5*f = -5, f + c = 6*f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -206*o = -217*o + 3080. Let x = 1238 - o. Is x a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 399.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/2 - (5 + 2230). What is the remainder when u\/(-27) - (-10)\/45 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -9*i + 23. Solve -d = i*z - 8, -4*z + 5*d - 5 = -35 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 158753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -447706382050 minus 1?\nAnswer: -447706382051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o**5*((o\/(o*o**(6\/11)*o))\/o*o)\/o assuming o is positive.\nAnswer: o**(38\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2041\/85 + 415\/17. What is the nearest to 36 in 0, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 644924*j**3*y**2 + 56*j**2 - 91*y**2 wrt j?\nAnswer: 3869544*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 + -9.0489. Let g = -0.05384 - x. Round g to four decimal places.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -980*f = -4*k - 976*f + 126676, k + 3*f - 31649 = 0. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*h**3 - h**3 + 0*h**3 + (-11*h**2 - 5*h + 5*h)*(-2*h + 2*h - 2*h).\nAnswer: 21*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 49054041 to the power of 1\/2, to the nearest integer?\nAnswer: 7004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 35 + (-6 + 2 - (15 + -8 + -9)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20002 (base 3) to base 14.\nAnswer: ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**3 + 3*d**2 + 5*d + 4. Let r(k) = -2*k**2 - 3*k - 2. Let l = -18262 - -18258. Calculate l*z(g) - 7*r(g).\nAnswer: 4*g**3 + 2*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j**2\/8 - 1438809*j\/2 + 2070171338481\/2 = 0. Calculate j.\nAnswer: 2877618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001818 to seven decimal places.\nAnswer: 0.0000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 89*s**2 + 13*s - 33. Is u(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -2*z**2 - 127*z + 208. What is d(-65)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -444400 + 40?\nAnswer: -444310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -130 - -138. Solve 5*i = 12 + o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d = -3*i - 14, -31*d + 61 = -44*d - 2*i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -58301, -116606, -174911, -233216?\nAnswer: -291521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26150335?\nAnswer: 5, 17, 307651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37017 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2778 and 93?\nAnswer: 86118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*q - 1\/2*q**3 - 40*q**2 + 0.\nAnswer: -q**2*(q + 80)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -82247 - o + 82262 + 4*o.\nAnswer: 3*o + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -17338916*o*u**3 - 232*o + 5636*u**2 wrt u.\nAnswer: -104033496*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18*-1)\/((-34)\/(-17)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10110011111101101110 (base 2) to base 6.\nAnswer: 23444354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7159350137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 79.14609 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 15, -57, -259, -657, -1317, -2305?\n\"Answer: -11*d**3 + d**2 + 2*d + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -59*s**3 - 3*s**2 - 4*s - 3. Let x be v(-2). Let c = 66 + -60. Does 26 divide x\/6 - (-3)\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/7))**(3\/20)*m**2\/(m**(1\/2)*m)*(m*m**(2\/3)*m*m\/(m*m*m**6*m)*m*m)**(-22) assuming m is positive.\nAnswer: m**(7748\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**14)\/((t\/(t\/t**1))\/t))**(-36) assuming t is positive.\nAnswer: t**468","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - s - 14 = -3*u, -4*u + 32 = 4*s. Suppose 15 + 60 = s*t. Is (5\/t)\/((-2)\/(-5262)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16)\/228*(4 + (-35)\/14).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3319 + -3321. What is the closest to 9\/4 in c, -0.3, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 301 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 3776820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 15 = -5*l, i - 5*i + 20 = 0. Let q(t) = -3*t + 23. Let f be q(l). Suppose 5*v - 36 = f*s, -v + 6*v - 3*s - 34 = 0. Solve -2*u = -6*u + v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 181031339*h**3 - 239866506*h wrt h?\nAnswer: 1086188034*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-54)\/36)\/(322\/164 - 2). Is 42 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3910\/27131 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**0*m*m)\/m)\/m*m*m\/(m**(-19)\/m) assuming m is positive.\nAnswer: m**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -418*m**2. Let y(r) = -2*r**2. What is y(d(s))?\nAnswer: -349448*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*w + 15 - 15 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 10 = 0, -5*o + 4*o = -4*c + 6. Suppose 4124 = p + 3*b, 5*b - 8259 = -o*p + 10*b. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 367.838 less than or equal to 119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the third derivative of 5*s**7\/42 + 5*s**3\/6 - 35*s**2. What is the first derivative of m(t) wrt t?\nAnswer: 100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**2 - 9*m - 22. Let a be d(11). Suppose 8*u - 3*u + 4*q = -19, -2*q - 2 = a. Let i = u - -33. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 - 20 = 2*h + 2*c, -3*c - 63 = 4*h. Let k be (h\/(-4))\/((-9)\/24). Let m = k - -20. Solve -m = 5*d - 3*d - 2*z, -4*z + 12 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -337 + 807. Let m be 2 + 4\/((-8)\/c). What is m rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1*(1 + -1 + -1). Solve j = i + 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/15 of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (420\/(-392))\/((-8)\/(-432)*45)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10841 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38 + 25*q**2 + 2149816*q - 2149816*q.\nAnswer: 25*q**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + r = 28, 4*r = -r + 15. Let a = y - 5. Suppose 4*c - 20 = -a*c. What is the closest to 0.1 in -0.4, c, -3\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2 + 15*v - 10. Let i be 5\/((-15)\/(-36)) - -2. Let q be k(i). Find the third derivative of -b**2 + 6*b - 6*b + 2*b**q wrt b.\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 1689226*s - 5067678. Calculate l(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 297574, 595153, 892730, 1190305, 1487878, 1785449, 2083018?\nAnswer: 2380585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -2*k**3 + k - 2. Suppose 2*v - 20 = -4*y, -2*v - 4*y = -2*y - 14. Let g(c) = -2*c**3 + c - 2. Determine v*g(z) - 3*i(z).\nAnswer: -2*z**3 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*t**4 + 12*t**4 + 2*t**4 - 7*t**4 + 3*t - 2 + 5*t to h*t**2 + q*t + n*t**3 + b + j*t**4 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -o**2 + 5*o**2 - 6*o**2 + (2*o + 2*o**2 - 2*o)*(2 - 2 - 1) - o**2 - o + o - 389*o**2 + 188*o**2 + 134*o**2.\nAnswer: -72*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7 and -0.14.\nAnswer: -0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-71)\/((-650715)\/(-4056)) - 2\/(-5).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.97 - 0.13. Let n = h - -0.1. Let i = 12 - 8. What is the closest to n in 2, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c - 1455 + 155. Let n = -93 + c. Suppose -5*f + 97 - 289 = -4*m, -5*f + n = 4*m. What are the prime factors of m?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the first derivative of 5\/3*m**2 + 1\/6*m**4 + 100\/3*m + 92 - 16\/9*m**3. Factor c(v).\nAnswer: 2*(v - 5)**2*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 + (-4 - 2) - (-244)\/41. Is c greater than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -50*p. Let l(k) = k**2 + 4*k. Determine l(z(c)).\nAnswer: 2500*c**2 - 200*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 9413.4167 rounded to the nearest 10?\nAnswer: 9410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -6*o - 48. What is the remainder when 22 is divided by k(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**3 + 26*d + 1 + 5 + 8 + 9*d**2 + d**2.\nAnswer: -2*(d - 7)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7148 + 7147. Let d be (-4)\/(-2) - (5 + -9). What is the closest to s in d, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 85697*z - 514194. Give a(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -22*t + 67. Is m(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 936775311 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -41068*c + 776079 wrt c.\nAnswer: -41068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttst when four letters picked without replacement from {t: 6, s: 5, x: 2}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o + 1. Let p(i) = i + 7*i**2 - 176 + 89 - 4*i**2 + 86. Let b = 1 - 0. Give b*g(l) + p(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13 - 39. Let y = -180 - d. Let h = y + 132. Solve h*k = -5*c + 21, 3*c = -2*k + 3*k + 16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/(-18))\/(3\/(-9)). Let s(l) = l**2 + 5*l - 224. Let i be s(13). What is the closest to 1\/6 in m, i, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i = 5*f + 40, -20*f = -15*f + 3*i + 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from {d: 5, c: 14}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -64*n**4 - 804*n**3 - 13*n**2 + 4442836*n wrt n?\nAnswer: -768*n**2 - 4824*n - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**2 + 0*s + 10*s**2 - 2*s - 1 - 2*s. Is u(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/6312 and -31\/52?\nAnswer: 82056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -3*y. Let h(r) = y*r + 6*r - 9*r. Let c(i) be the second derivative of i**4\/12 - 3*i. Determine h(c(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 63\/(-165) + (-4)\/(-22). Let l = 0.04 + -2.04. Let k = l + 2.1. What is the second smallest value in k, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -1056*u**3 + 65*u**2 + 5*u + 10. Let v(x) = 1054*x**3 - 78*x**2 - 6*x - 12. Determine 6*k(a) + 5*v(a).\nAnswer: -1066*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 c, and 1 t when three letters picked without replacement from {t: 1, p: 1, c: 7}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -31*n + 2. What is q(-2)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from {w: 1, f: 1, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 2*a + 25, 16*w + 4*a - 15 = 13*w. Solve -35 = 4*h + 5*g, -9*h - 23 = -w*h + g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**3 - 3*n**2 - n - 4. What is the lowest common multiple of 36 and p(4)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2540 + -2539.96806. Let p = h + 0.00807. Let d = -0.04 + p. Round d to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:03 PM and 6:14 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 2*a. Let v(l) = -l**3 + 5*l**2 - 5*l + 6. Let n be v(4). Suppose 0 = -n*y + 6*y - 76. Let r = y - 18. Calculate o(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the second derivative of -v**4\/12 - 5*v**3\/6 - 5*v**2\/2 - 2*v. Let w be j(-4). Let x be 0 + -6 - (-2 - w). Are -5 and x unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**2 + 92*q - 265. What is v(-94)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2545758 and 1858634?\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 598, 1202, 1806, 2410?\nAnswer: 3014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7789 or 0?\nAnswer: -7789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:33 AM and 9:06 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2177530681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -2*p**2 + p + 5. Let s(a) = -1. Let y(u) = -3*u**2 + u + 2. Let k(n) = 4*s(n) - y(n). Give 3*k(m) + 4*q(m).\nAnswer: m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -10*y**2 - 1. Let c(i) = 5*i**3 - 10*i**2 + 29*i. Give c(l) - o(l).\nAnswer: 5*l**3 + 29*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 291170371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*y + 18 = 49*y. What is the highest common factor of 42 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1191\/14 + 85. What is the common denominator of 107\/6 and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1114 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - r = -4*u - 12, 12 = -2*r + u. Let m be (r + 6)*(1 - 3)\/(-2). Solve m*p = 6*p + 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 + 22*y**2 - 332*y - 82. What is t(-32)?\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -20 - -36. Suppose -3*m + x = m. Suppose 0*d + 2 = -d + 3*z, -7 = -3*d - m*z. Is 3\/8 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 713, 7413, 26747, 65399, 130053, 227393, 364103, 546867?\nAnswer: 782369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20 + 3*s - 20)*(-2*s**3 - 2*s**3 + 8*s**3 - 2*s**2 + 2*s**3 + 2*s**2 + (2*s - 3*s - s)*(-s**2 - s**2 + 0*s**2) + 2*s**3 + s**3 - s**3).\nAnswer: 36*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**4 - w**2 + 3*w. Let f = -2 + 5. Let u(t) = -t**4 - t. Let d(c) = f*u(c) + b(c). What is the third derivative of d(z) wrt z?\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3924968)\/1992 + 7\/21. Let k = h + 1970. Is 0 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -206*w + 207*w - t - 45910, 0 = -2*w - 5*t + 91876. What are the prime factors of w?\nAnswer: 2, 3, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**2 - 3*a - 4. Determine u(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -516*i + 2790. Is 137 a factor of x(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - y - 406 = 2337, 0 = l + 4*y - 897. Suppose 16*m - 17*m + l = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 22507319*c**3 - 30624509 wrt c.\nAnswer: 67521957*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 856*t + 1. Let n be r(1). Let j = -507 + n. What is j rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3095 - -3094.94. Which is smaller: 8.6 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2261, 4016, 5285, 6068, 6365?\n\"Answer: -243*u**2 + 2484*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 4 * -8.428\nAnswer: -33.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -5*i - 1. Give t(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 6 + 0)*(-m**2 + m**2 - 3*m**2)*(3*m - 2 + 2).\nAnswer: 45*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4787224749 to the power of 1\/3, to the nearest integer?\nAnswer: 1685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 - 7*r**2 + 4*r + 20. Let a(q) = -q**3 + 4*q**2 + 6*q - 20. Let s be a(4). Let t be 6\/s - (1 - 57\/(-6)). What is the tens digit of k(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -11485138.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1227*l**2 - 49 + 108 - 59 - 1228*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -7*h - 37. Let a be u(-5). Let w be (-140)\/(-98)*(3\/a + 1). Let t(i) = -i + 5. Let m be t(0). What is the second smallest value in m, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = w - 22*o - 41, 286*o = -2*w + 289*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 69410821 - 88707023881\/1278. Let n = v - 128\/71. Calculate the common denominator of -59\/12 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y - 2*y - y**2)*(34*y**2 + 43*y**2 - 95*y**2).\nAnswer: 18*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 2196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -3, -2\/3.\nAnswer: -10, -3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 326 and 12?\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -14a - -4?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*l - 10 = -23. Let z(b) be the first derivative of b - 3*b + b**2 - b + 4*b - 3. Determine z(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -306024791\/3 or -102008263?\nAnswer: -306024791\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -2*h - 4*m - 1, h = -5*m - 5. Suppose o + 4*g = 2 + 7, -5*o - 2*g + 63 = h. Solve -u = -3*y - 0*y - o, -4*y - 20 = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 11:19 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*o + 9*o = 28240. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10 and 1354.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * 0.042\nAnswer: -0.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -8238890 divided by -11\nAnswer: 748990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 84 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -5*f**3 + 2*f**2 - 7*f + 4. Let q(b) = -b**3 + 1. What is -2*q(m) + v(m)?\nAnswer: -3*m**3 + 2*m**2 - 7*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 103 - 91. Suppose -10*f + m*f = 8. Solve f*i - 32 = 3*n + n, 26 = -4*n + 2*i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 AM and 4:21 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 + 10. Suppose m + 4*w + 23 = -w, f = -5*m + 4*w + 30. Suppose 3*i = -i + 20. Solve -d + 7 = i*r, -3 - m = d - r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1909497787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*f + 5*f. Suppose -2*h + f*h = 0. Let q = -4 - -1. Sort 5, q, h in decreasing order.\nAnswer: 5, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 2*v + 7, 4*x + v = -4 + 17. Let l be 5*(-1)\/(10\/(-8)). Factor -4 + l + 2*d**2 + 8*d**5 - 8*d**4 - 6*d**4 + 4*d**x.\nAnswer: 2*d**2*(d - 1)**2*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, -12, 4\/3, 1\/7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 487270802?\nAnswer: 2, 243635401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2662150 or 2662149?\nAnswer: 2662150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 603848761?\nAnswer: 181, 3336181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 592765.\nAnswer: 5, 103, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 + 5*f - 5. Give o(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17663270*h**3 + 1142*h**2 - 47*h - 16 wrt h?\nAnswer: -105979620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 + -9. Suppose -5*l - 42 = -3*z, -49*z - 28 = -51*z - q*l. Calculate the remainder when 258 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 (base 11) to base 6\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 115129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.08 - 5.08. Let z = y - -5.3. Let l = 1.6 - 0.6. Which is the closest to -1?  (a) l  (b) 0  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 3*l + 9 = 2*i, 15 = 5*l. Find the second derivative of 4*m**5 - m**2 + i*m**2 + m**2 - 3*m wrt m.\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + q = -4284, b + 5*q + 566 = 1616. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1827688 divided by -4\nAnswer: -456922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -725509497 + -2?\nAnswer: -725509499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57306 - 57306 - 60933*o.\nAnswer: -60933*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 - -7.7. Which is the biggest value?  (a) -2  (b) -1  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6839445 + -6839484.000038. Let j = l - -39. Round j to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18 - -20) + -1 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of -5*u**4\/24 + u**3\/3 - 7*u**2\/2 - 3*u. Let d(r) be the first derivative of z(r). Differentiate d(w) with respect to w.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 4 = -2*o. Let n be ((-56)\/(-84))\/(1 + (-10)\/6). Let f be 30\/200 + 1\/4 + n. Sort 0.5, o, f.\nAnswer: o, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.5 + -0.2. Let q be -10*(17\/4 + -4)*-2. Suppose 0*f + 4*f = 0. What is the closest to 1\/3 in q, n, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2.0070306 and 5.\nAnswer: 2.9929694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -9*r - 263. Let o(y) = -2*y**3 + 30*y**2 + 15*y - 256. Let g be o(15). Calculate n(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/(1\/(-2)) + 28. Let v be (-1 - 2\/(-36))\/(11\/p). Let g = v + 27\/11. Is g less than or equal to 1\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 489587426.\nAnswer: 2, 244793713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/(h\/(((h\/h**(2\/7)*h)\/h)\/h))*(h\/(h*h**(-7)))\/h*h*h\/(h\/((h\/(h**1*h)*h)\/h)*h)*h**(-5)\/h assuming h is positive.\nAnswer: h**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**(-3\/4)*n**(-13)*n)\/(n**(1\/7)*n**(-3\/5)))**(-15))**1 assuming n is positive.\nAnswer: n**(5163\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 3*c + 3. Let x = 34 + -36. Sort c, x, -5 in descending order.\nAnswer: c, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 + -24 - (-2 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20632104?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58 = 48*x - 202. Let r(h) = -h**2 - 3*h + 3. What is the remainder when x is divided by r(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 4*g - 17. Let n be q(5). Suppose -6 = -n*y + 36. Let d be 2\/10 - y\/70. Solve 5*j + d = 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.90211643368 + -0.961.\nAnswer: 2.94111643368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) 1\/16  (c) 1101351\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3852\/2009 + 82\/49. Is m > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1868817932 to the nearest integer?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 + 6 = -4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**2 + 30*u + 45. Let h be b(-21). Let i = -26 - h. Is i a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p + 118. Let y(t) = -32. Give -4*o(x) - 9*y(x).\nAnswer: 4*x - 184","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 4*l - 47. Let t be a(24). Let f(c) = -2*c**3 - 22*c**2 - 116*c - 5. Let p be f(-8). What is the greatest common factor of p and t?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 937183371?\nAnswer: 3, 41, 7619377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - i - 4, 2*i + 8 = 2*r - r. Let u = -642 + 1005. Suppose 3*b - u = -r*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 6, f: 4, j: 3, z: 1, l: 1}. Give prob of sequence jx.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 164 - 124. Let f = 118\/3 - k. Let q = -0.3 - -0.3. Put 5, f, -4, q in increasing order.\nAnswer: -4, f, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3697\/9 + -411. Let w = -0.4 - -2.4. What is the fourth biggest value in 1, w, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 10*w + 22 = 0. Let v(p) = 7*p**3 + 1615*p**2 - 1 - 1615*p**w. Determine v(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -14265, -57055, -128377, -228237, -356641, -513595?\n\"Answer: -n**3 - 14260*n**2 - 3*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 4, 3, -16, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 25*f**2 + 4228*f - 27. Calculate i(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 46.843 times -7.342?\nAnswer: -343.921306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(363)*-1)**2 + sqrt(108)).\nAnswer: 24*sqrt(3) + 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-48)\/(-102)*(-221)\/(-26). Let v be (3 + 1)\/((8\/7)\/4). Sort -6, r, -2, v.\nAnswer: -6, -2, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 99120583 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 41 - 54. Let d(z) = 7222*z - 14. Let x be d(c). Round x to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -19*h**3 - 12*h**2 - 21*h + 43. Determine t(2).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((1*-8)\/2)\/(-2). Let o(t) = t - 7*t**2 + 13*t**2 - 21 + 10*t**2. Let d(h) = -3*h**2 + 4. Suppose 2*j - 5*j = -33. Determine f*o(q) + j*d(q).\nAnswer: -q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*m + 74 + 22 = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/713389 and 16\/11.\nAnswer: 7847279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 3*n**2 - 8*n - 19. Give d(9).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the first derivative of -13*s**3\/3 - 12. Let n(j) = -j. What is v(n(t))?\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1050)\/1000*(-495)\/(-231)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -10 + 1\/3*n**3 + 4\/3*n**2 - 11\/3*n = 0.\nAnswer: -5, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23 + 44*k + 37 - 7*k + 107.\nAnswer: 37*k + 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 489\/12 - -2 - (-3)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + 3. Suppose 2*c = 3*c - 7. Suppose w + c = 2*x. Solve 3*v + 0*v + x*z = 21, 13 = 5*v + z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -10*x - 29. Let a(l) = 2*l. What is a(v(r))?\nAnswer: -20*r - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 967943*q**4 - 14*q + 148874163 wrt q?\nAnswer: 3871772*q**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.06, -86.8, -2\/17, -0.01, -1\/6, -5, 2\/59?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 863*u**2. Let t(q) = -47*q**2. Calculate t(f(r)).\nAnswer: -35004143*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4644)\/144 + 32 + 2045309\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 + 11 + -38 - -18 - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.15638574 from 693.461.\nAnswer: 693.30461426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 18.5 and 229701?\nAnswer: 4249468.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17300 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*d**2 - 17413 + 34846 - 17434.\nAnswer: -4*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1699479?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.6 + 158490962.7931?\nAnswer: 158490954.1931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -4345 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11203333111132 + -2?\nAnswer: -11203333111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1651)\/508 + 8\/2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -20253041637 + 20253042084.00000219. Let m = -440.2 + -6.8. Let j = m + h. Round j to seven decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in eight fifteenths of a day?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkpm when four letters picked without replacement from pmppkmppkppmpm.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**2 + 3*d + 33. What is the units digit of q(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -2*v**3 + 46*v**2 + 2*v - 55. What is h(23)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.386698077 rounded to three decimal places?\nAnswer: -3.387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 13 + 7 = 0. Suppose -3*v - 2*m = -5*v + 6, v - 3 = 5*m. Find the third derivative of -z**2 - z**6 - r*z**5 + v*z**5 wrt z.\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 2) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -81 (base 10) to base 11\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -15360 divided by -40?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1392 - 1248. Calculate the highest common factor of 81 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 10}. What is prob of picking 3 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 6\/7  (b) 27  (c) 1\/66  (d) -1  (e) -4  (f) -1\/5  (g) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b4c3 (base 16) to base 15\nAnswer: daa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3466*h - 411438 = 911*h for h.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-9) - (1040\/840)\/(16\/14).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, d: 1, u: 2, r: 1, a: 1}. What is prob of sequence madm?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**2 + 16*u + 2. Let l be s(-16). Solve -l*h + 1 = -1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -46*k + 4. Let j be m(6). Let o be j\/(-28) + (-6)\/(-21). Let a = 142 - 139. Solve -y - a*y + 15 = -p, -2*y = -o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*n - 58*n + 15 = 0. What is the nearest to -2\/7 in 1, -3, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 - -19. Let r = u - 24.91. Let f = r + -0.1028. What is f rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 5*s - 2*b, -3*s + 0 + 12 = 3*b. Let t = s + 2. Suppose -4*x - 2 = -2*v - v, -x - 7 = -4*v. Solve v*c = t*q - 3, 3*c + q = -5 + 17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 65050 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -4 - 14. Suppose -t = 3, -2*a + 17*t = m*t - 69. Calculate the highest common divisor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 + 16*(-2)\/(-4). Let n = 104 - k. Suppose 2*x - n = 317. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*w + 8*w - 4*z + 672367, z = -w + 134474. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 4*g - 108 = 0, -6*n + 2*g + 282 = -3*n. Calculate the highest common divisor of 30 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -72400 + -107?\nAnswer: -72507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -4324 greater than -4145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18927 - 18927 + p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1194 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: Solve -861477*z = -862002*z + 28350 for z.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 58 - 59. Let g(q) = -q + 1. Let u(n) = -7*n + 8. Give c*u(j) + 6*g(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2 - 135936*q + 4756544. Give g(35).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**2 - 6*w + 3. Suppose 5*k - 3 = -3*z, z - 15 = -0*z + 3*k. Let o be a(z). Solve -x = -0*x - o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 483796 or 482522?\nAnswer: 483796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9.3 - 8. Let o = u - 3. Let d = o + 2. Which is the third biggest value?  (a) -1\/6  (b) d  (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 128084130 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the third derivative of k**4\/6 - 3*k**3\/2 - 4*k**2. What is the first derivative of h(x) wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2 - (12\/(-5) + 1). Suppose 5*k = -11 - 24. Let h be 9\/k - (-4)\/14. Is h at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -114*k - 8. Let s(p) = -455*p - 30. Let r(f) = 4*s(f) - 15*w(f). Let q(j) = 6*j. Give r(q(y)).\nAnswer: -660*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and -377?\nAnswer: 113.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**42\/o**(3\/13))**(1\/4) assuming o is positive.\nAnswer: o**(543\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are -194105 and -194105 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + i = -8, 2*i + 0*i - 4 = -o. Let t(v) = v**3 + 4*v**2 - 6*v. What is the remainder when t(-5) is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*s - 3*s + s)*(-424*s + 99*s + 1 + 178*s).\nAnswer: -147*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-6)\/2)\/(-9))\/(2\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -88886444*k**4 - 20621638*k**2 wrt k?\nAnswer: -2133274656*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 1 w when three letters picked without replacement from {w: 4, n: 2, o: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -532 or -528?\nAnswer: -532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/(-4)*(-2)\/(-6). Let o(d) be the first derivative of y*d**2 - 1\/3*d**3 + 1 + 0*d. Factor o(j).\nAnswer: -j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37972?\nAnswer: 2, 11, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 + 2*z**2 + 24*z - 7. Let a be w(6). Let v(i) = 2*i. Give v(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 158\/((4*1)\/((-808)\/(-303)*(-24)\/32))\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 2*a. Let q(j) = 6*j. Let c(t) = 3*q(t) - 10*w(t). Let h(m) = -3*m + 3*m + 3*m + m. Determine c(h(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the first derivative of w**8\/2352 + 4*w**7\/735 - 3*w**6\/280 - 97*w**2\/2 + 2*w + 123. Let g(x) be the second derivative of m(x). Factor g(k).\nAnswer: k**3*(k - 1)*(k + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 23 = 13. Differentiate 2*c**4 - 5 + g*c**4 - 7*c**4 with respect to c.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 - -17577?\nAnswer: 17576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 - -14. Calculate the least common multiple of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 232 - 228. Suppose -5*g + 5 = 3*y, 0*y - a*g = 2*y - 2. Solve -11 = -4*o + 3*c, -3*o - y*c = -3*c - 21 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*q - 4*q - 15*q - 5 + 0*q.\nAnswer: -13*q - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20*m**2 - 55*m**2 + 18*m**2 to f + k*m**2 + y*m and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*o + 22*o + 200 = 0. Calculate the highest common factor of o and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 244132405 (base 7) in base 4?\nAnswer: 322130003203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 20*f**3 - 27*f + 27*f + (3*f**2 - 3*f**2 - 10*f**2)*(0*f + 4*f - 6*f).\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 1 + 59 + (101 - (-219 + 318))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-8 + 0)*(-5)\/20. Let r(p) = 3*p - 2*p**3 + 12*p**2 + 3 - 2*p**2 - 11*p**i. Calculate r(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 105.4024 to the nearest integer.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/400 and (-3612)\/(-2800)*15\/18.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 1\/5*i**3 + 1\/5*i**2 + 0*i.\nAnswer: -i**2*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-95)\/3*(-2)\/(-2). Let i = 32 + u. Let d = 230\/7 - 33. Which is the closest to i?  (a) 1  (b) -2  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 5*w - 6 = 0, 0 = 2*t - 34*w + 38*w. Let l(m) = -5*m + 16. Let r be l(4). Which is the third biggest value?  (a) t  (b) 2  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 10 - (450*-4)\/5. Calculate the highest common divisor of f and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -35*d - 1238. Suppose -w + 3*w - 4*f - 24 = 0, 0 = -2*w - f + 24. What is the remainder when b(-37) is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1370977349 - 1888.\nAnswer: -1370979237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d + 33. Let p be f(0). Suppose p = -a + 5*r, -4*a - 2*r - 150 = -a. Let o = 68 + a. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -10*k**2 + 9*k + 3. Determine l(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*o + 2*z - 44, 117*o = 116*o - 5*z + 3*z - 13*z + 38 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4 - (-430)\/105) + 56\/98. Let w be (1 - 3)*3\/(-2). Suppose -h - w*u + 0 = 1, -4*h - 21 = -5*u. Which is the nearest to 0.19?  (a) h  (b) 1\/3  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 11, 5, -11, -43, -97?\n\"Answer: -j**3 + j**2 - 2*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y\/(y*y**1*y))\/y)\/y)\/y**(6\/5))**(-16)*(y**0\/y)**(-3\/11)\/((y\/(y**(-3\/4)\/y*y))\/y*y\/y**2) assuming y is positive.\nAnswer: y**(18419\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*r**2 - 3575*r - r**2 + 157*r.\nAnswer: -r**2 - 3418*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*n - 293 + 257 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 5*p - 10 = 0, 8 = -4*q + 5*p + 1. Let k(m) = 2*m + 5. Let z(f) = 3*f + 9. Let c = 3 + 3. Suppose -4 = -2*n + c. What is n*k(d) + q*z(d)?\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 5126865464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1022 (base 4) to base 5.\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8619461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -38 - -29 - (-8 - -2) - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 - 9. Let p = -14 + 13. Let f(s) = s**2 + s - 2. Let c be f(2). Sort p, g, c in decreasing order.\nAnswer: c, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 151 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -14, -15, 0.1, 2\/19, 1, -0.2, -29?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5665)\/(-22))\/103*-2*(-2)\/(-20).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**(-1\/3))\/j)\/(j*j*((j*j**(-6)*j)\/j)\/j*j*j))**(-19) assuming j is positive.\nAnswer: j**(-95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 96 and 72?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*h + o, -o + 2*o = h - 2. Suppose 3*j = 12, 3*v - h*j + 17 = -7. Put -3, v, -9 in descending order.\nAnswer: -3, v, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25027 divided by -3?\nAnswer: 25027\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -922572 * 12\nAnswer: -11070864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-6)\/(-15))\/(2\/100). Suppose s = 4*t - 0. Let q = -13 + 18. Solve -q*n = -5*m - 15, m + 2*n = n - t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (6\/(-9))\/(4\/(-186)). Let q = 47 - x. Calculate the remainder when q is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -69, -76, -87, -102, -121, -144?\n\"Answer: -2*p**2 - p - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11101010101001 - 10010010011001?\nAnswer: -101111101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 643722555 to the power of 1\/3, to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2943099?\nAnswer: 3, 327011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -253, -262, -271, -280?\n\"Answer: -9*o - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 619, 1262, 1905, 2548?\n\"Answer: 643*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2248699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 25*w - 1. Let v be r(4). Let o be 11\/(-33) + 68\/6. What is the highest common factor of v and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.04686523, 1, 0.5 in descending order.\nAnswer: 1, 0.5, -0.04686523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 144.142 * 0.4.\nAnswer: 57.6568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 - 5*y**2 + 2*y - 6. Suppose 26 = -p + 4*n, -4*n + 3 = -4*p - 41. Let a be j(p). Solve -4*q - a = 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*w + 1 - 1)*(-2 - 12 + 8)*(2*w**2 - 4*w**2 + 5*w**2) to the form d*w + o + t*w**3 + h*w**2 and give t.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-183)\/(-32) + 294\/(-49))\/(3\/(-4)). Determine k so that -p*k**2 + 0 - 9\/8*k**4 + 0*k + 9\/8*k**3 + 3\/8*k**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*p**2 - 11*p**2 + 3*p**3 + p**4 + 0*p**4 - 2*p**3 - 33*p to the form a*p + q*p**4 + r*p**3 + u*p**2 + c and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -11212 (base 3) in base 16?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -0.8. Let o = -3.2 - k. Let q = o - -1. Put 2\/13, q, 2 in descending order.\nAnswer: 2, 2\/13, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-10))**(-2\/17))**(-2\/17) assuming u is positive.\nAnswer: u**(-40\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - -6. Suppose 9*a - f*a - 1082 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1686715757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 - 3 = 2*k. Suppose 0 = a + 5 - k. Find the second derivative of q**3 - q**3 + 4*q + q**a - 3*q**3 wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -2*u**2 + 32*u + 14491. Calculate c(94).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11019, -11050, -11081, -11112, -11143?\nAnswer: -11174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 5 + 1)*(3 - 1 + 0) + 1 + 3 - 3)*(-14*c - 7 + 7).\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 61 - 52 = -3*y, 2*y = -5*l - 33. Which is the closest to l?  (a) 0.5  (b) -5  (c) -0.1  (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -15*x - 24. Is c(-18) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2677.713 tonnes in kilograms?\nAnswer: 2677713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 9909.69392 to the nearest 100.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 40776*z + 1345736. Calculate b(-33).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-394)\/(-3)*(-2 + -1 + 6). Suppose -2*t = -0*u + 4*u - 246, -3*t - u = -q. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 94370.87l?\nAnswer: 94370870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/3)\/1*-3. Suppose 0*i + 2*i + 5*a - 23 = 0, p*i = -5*a + 41. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -800 (base 11) to base 4.\nAnswer: -33020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 256*r**3 + 310?\nAnswer: 768*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**3 - 1205*i**2 - 66480*i - 832320.\nAnswer: 5*(i - 289)*(i + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3691 + 61.\nAnswer: -3630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(2*sqrt(30))\/sqrt(6)*-6 + -1.\nAnswer: -12*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from upuiwpueuuwuew. Give prob of picking 1 u, 1 w, and 1 i.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1\/(-12)*2)\/(11\/(-22)). Suppose 2*y = 3 + 1. What is the closest to t in y, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**14\/d*d)\/(d\/((d**13*d)\/d)*d*d*d) assuming d is positive.\nAnswer: d**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(150)*2*-3 - sqrt(150))\/sqrt(3))\/(sqrt(60)\/(2*-2*sqrt(6))).\nAnswer: 168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -22 + 48. Let r = 26 - j. Put 3, 4, r in descending order.\nAnswer: 4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 5*x - 5*n, 0 = -2*x + 5*n + 640 - 623 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 32 = 3*u, -4*u - f = -5*f. Suppose -u*q = -6*q + 706. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10201 (base 3) in base 7?\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1079147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 71, 81, 39, -103, -393, -879, -1609, -2631?\nAnswer: -3993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 g, and 1 e when three letters picked without replacement from {h: 2, g: 6, r: 9, e: 2}.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -389 + 31?\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -5*b - 1. Let k(t) = 7*t**3 + t**2 - 6. Let c(a) = 8*a**3 - 7. Let r(p) = b*k(p) - 6*c(p). Let i be r(-7). Solve i = 3*q + 2*q + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4811600 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -40*u**3 + 3*u**2 - 2*u - 7. Let z(l) = 39*l**3 - 4*l**2 + 3*l + 8. Let k(o) = 7*d(o) + 6*z(o). Is k(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1857 divided by -7?\nAnswer: -1857\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -34\/45977 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -4*w**2 - 2*w + 7. Let g(h) = h**2 + h - 2. Determine -14*g(y) - 4*s(y).\nAnswer: 2*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 4*i**2 - 17*i + 7. Let z be g(6). Calculate the greatest common factor of z and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ossmssmmpommomsmppo. Give prob of picking 1 p and 1 m.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -42*(-3538)\/11529 - (0 - -10).\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 2*b**2 - 11*b - 11. Calculate f(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -4*i + 4, -i = -2 + 1. Let k(a) be the third derivative of a**4\/12 - 13*a**3\/6 + 8*a**2. Let d be k(6). Which is smaller: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -59773\/48168 - -1\/5352. What is the common denominator of s and -11\/18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37610736 is divided by 48.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*w + 5*a + 422, -2252*w = -1128*w - 1123*w - 5*a - 52 for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 3*c = 2*c - 1, -2*n + 3*c = -19. Is (n - 2) + (15 - 0) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2*i**2 + 4*i**2 - 5*i**2. Let y(p) be the third derivative of p**4\/12 - 1263*p**2 + 3*p. Calculate m(y(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 + 0.04137.\nAnswer: 0.34137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -22*q**3 - 19*q**2 + 31. Let a(n) = 5*n**3 + 5*n**2 - 8. Let w(l) = 9*a(l) + 2*d(l). What is w(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35282 divided by -59.\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 - 13*a**2 - 15*a + 19. Let q be h(14). Suppose -q*i + i + 5*i = 0. Put i, -1, 3 in decreasing order.\nAnswer: 3, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -3\/7  (b) 149\/10  (c) -4\/3  (d) 1\/9  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3789 and 23053539?\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 4*t. Let x(w) be the third derivative of 29*w**5\/60 + 2*w**2 - 18*w. What is q(x(h))?\nAnswer: 116*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*i + 517*i**3 - 1513*i**3 + 7 + 3*i**2 + 3*i + 516*i**3 + 524*i**3 as x*i + o*i**2 + r*i**3 + a and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sssssssssssssso. Give prob of sequence soss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3701 = 49*r - 55589. Suppose -935 = -15*w + r. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u + 9. Let f(k) = k + 12. Let l be f(-7). Suppose 0 = 5*p - 20, l*y + 3*p = -1 - 7. What is h(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 AM and 7:00 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -98611, -394735, -888281, -1579255, -2467663, -3553511, -4836805, -6317551?\nAnswer: -7995755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 + -1437?\nAnswer: -1442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 956 is divided by 190.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**3 + 3*u**2 - 5*u. Suppose -2*w + 4*v - 4 = -5*w, -2*v + 4 = w. What is the units digit of p(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5b25 - -4a?\nAnswer: -5a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-6)\/9 - 0)*-3. Suppose 0*i - f = -i. Let m be i\/(-2)*8\/(-4). Solve -k + 2*k = m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 236288142593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 7*v = 24*v - 40. Let b(j) be the third derivative of 1\/30*j**5 + 0*j**4 + 0*j**6 + 0*j**3 - 1\/105*j**7 + 11*j**v + 0 + 0*j. Factor b(m).\nAnswer: -2*m**2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*s - 429 = 101*s - 109 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 107, 148, 245, 410, 655, 992?\nAnswer: 1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 62\/1614873 and 46\/21?\nAnswer: 11304111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 52*r + 112*r - 201*r + 148 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 122 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6 + 6)*(2 - 1). Suppose -2*c + 0*c + 2 = q. Suppose -w + 20 = c. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 172 = 25*k - 27 - 76. What is the remainder when 5903 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -2*m**2 + 23*m + 52. Let t be c(13). Solve -4*n - n + y - t = 0, 2*n + 3*y + 12 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1471 (base 12) in base 9?\nAnswer: 3244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14750, -0.5, 40 in descending order.\nAnswer: 40, -0.5, -14750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 11\/9 + 4\/(-18). Let p = -22\/1129 + 9848\/389505. Is j > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**2 - d + 2. Let o be r(-3). Let w(i) = i**2 + i - 3. Let j be w(o). Let x be (-6)\/j - (-34)\/6. Solve 3*k - 10 = x*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -88*l - 948. Let u be z(-11). What is the highest common factor of u and 9140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/10)*(s\/(s*s\/(s\/s**(-3\/4))*s*s))\/s)\/(s**(-4)\/(s\/s**(1\/5)*s)) assuming s is positive.\nAnswer: s**(73\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 94087, 94086, 94085, 94084?\n\"Answer: -b + 94088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 876146?\nAnswer: 2, 17, 73, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 2*d - 2*d**3 - 4*d**2 - 4*d + 1 + d + 5*d. Let y(c) = 2*c**3 + 5*c**2 - 5*c - 1. Determine 5*j(v) + 4*y(v).\nAnswer: -2*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 127183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110022 (base 4) to base 2.\nAnswer: -10100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -38609*q + 10115556. Give v(262).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 3 = -234. Suppose 4*n - x = n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -115\/6, 9, -1, -25\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14) - sqrt(42)\/sqrt(3)*5)\/(sqrt(2) + sqrt(6)\/(2*sqrt(3))).\nAnswer: -8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -158, -156, -156, -158, -162, -168?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-117062)\/72 - (-3)\/(-12). Let q = m + 1633. What is the common denominator of q and -19\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + 4 - 1. Suppose 3*r = -8 - 1. Let m(k) = -k - 2. Let x be m(r). Put 2, t, x in decreasing order.\nAnswer: 2, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 177 is divided by 54.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**2 + 2*q**2 + 0*q**2)*(-10 - 4*q + q + 12).\nAnswer: -3*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 7*y**3 - 2*y**2 - 2*y + 1. Let b be z(3). Let t = b - 33. Suppose 4*a + 3 + t = 0. What is the common denominator of a and 37\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - 4*i = -11, 4*f - 2*i + 8 = i for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4 + -1 + 4)*-802 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -98, 0.5, 1\/9 in descending order.\nAnswer: 0.5, 1\/9, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6 - (-5)\/(-5)) + 8. Solve 4*x = -9 + p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 - 24*j + 152. Let h be o(14). What is the greatest common divisor of 5472 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 1 l when three letters picked without replacement from llxlhlxtl?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -4\/33 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2778 + -2778.5. Sort -20, m, -3, -4 in increasing order.\nAnswer: -20, -4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -622203 (base 8) in base 9?\nAnswer: -343458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5712 + 645450\/113. Let y = w - 517\/904. Let i = -467\/3 - -631\/6. Find the common denominator of y and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16751.7182 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 3654 times 0.04993\nAnswer: 182.44422","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 + 3*p**2 - 3*p + 4. Let s be w(-4). Solve -4 = -2*x - s*u + u, -3*x + 20 = -5*u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 64 divided by 700426.\nAnswer: 32\/350213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 6015, 6044, 6073?\n\"Answer: 29*n + 5986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(7)*-4 + sqrt(77)\/(sqrt(11)*3) + -1*((sqrt(112)\/sqrt(4))\/sqrt(4) + sqrt(7)) + 4)**2.\nAnswer: -68*sqrt(7)\/3 + 2059\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 0 - 9 = 3*k, g = 3*k + 6. Solve -3*q - g = -3*n, 0 = 3*n + 6 - 21 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57*l + 173*l + 32*l.\nAnswer: 262*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the second derivative of n**5\/50 - n**3\/15 - 5*n. Factor p(v).\nAnswer: 2*v*(v - 1)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -34?  (a) -2\/13  (b) 2\/11  (c) -17  (d) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h**(-6)\/h))**(-1\/7) assuming h is positive.\nAnswer: 1\/h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40668400*-11.\nAnswer: -447352400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 317796554*s**2 - 323975366 wrt s.\nAnswer: 635593108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 54 + -48. Let n(f) = -f**3 + 14*f**2 - 5*f - 13. What is the remainder when n(j) is divided by 63?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 51 + 6. Let u = -7 + m. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:03 PM and 1:17 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of -656*a**5\/5 - 2*a**3\/3 - 336*a**2 + 211. Find the second derivative of u(p) wrt p.\nAnswer: -7872*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dod when three letters picked without replacement from {o: 1, h: 1, f: 7, d: 4, p: 2, t: 5}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -466*q - 8. Let v(t) = -15*t**2 - 13. What is v(z(o))?\nAnswer: -3257340*o**2 - 111840*o - 973","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the second derivative of p**6\/360 - 7*p**5\/120 + 3*p**4\/4 + 2*p. Let z(k) be the third derivative of l(k). Calculate z(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1042*u - 64 + 15 - 1072*u.\nAnswer: -2114*u - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes before 11:47 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-18)*(-48)\/32*-8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -839 - -1508. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 259, 23, -6, -55 in descending order.\nAnswer: 259, 23, -2, -6, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23, 32, 41, 50, 59, 68?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-1)\/(-1))\/(-1))\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*h\/(((h**(-24)*h)\/h)\/h)*h))\/h*h**(-4)*h\/(h*h*h**7)*h**(-1))**(2\/39) assuming h is positive.\nAnswer: h**(-82\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-79*b**2 + 5 + 9 + 49*b**2)*(3*b**3 + 2*b**3 - 6*b**3).\nAnswer: 30*b**5 - 14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 7*x**3 - 6*x**2 - 15*x - 11. Let q(h) = -3*h**3 + 3*h**2 + 7*h + 5. Let a(k) = 5*q(k) + 2*w(k). Let i be a(4). Solve -i*j - 16 = -3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 609, 403, -1437, -5727, -13283?\nAnswer: -24921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -42 - -1?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101100010 - 1001011?\nAnswer: 100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -34\/183 and 71\/148245.\nAnswer: 9042945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*z + 8*z**2 - 22*z - 3*z**2.\nAnswer: 5*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + c = 14, -2*s - 7 = -2*c + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -896 + 168 = 14*i. Let l = i - -77. What is the remainder when l is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 1 + 3. Let s(p) = 2 - u - p**2. Suppose 110*c = 2*t + 112*c - 12, -c = 4*t - 9. Let n(w) = 2*w**2 + 2*w + 1. What is t*n(v) + 3*s(v)?\nAnswer: -v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127 is divided by 14\/4*1300\/70?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -11  (b) -0.03972  (c) 3  (d) 1\/8  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1467337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-143)\/5 + 6\/(-15). Let s = w - -44. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 179090 and 30.\nAnswer: 537270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -72 + 121. Let y = 8 + 5. Let r be 1\/2 + y\/2. What is the highest common divisor of q and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*j**3*u**3 + 544881*j**3*u + 149552*u**3 + 8*u wrt j.\nAnswer: -6*j**2*u**3 + 1634643*j**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 4*j + 11540 = 0, -4*n + 8*n + 5*j = 15387. What is the lowest common multiple of 20 and n?\nAnswer: 19240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/(-2 + 0\/2). Let z(i) = 2*i**2 - 2. What is the tens digit of z(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*z**3 - 2*z - z + 3*z + 1499820*z**2 - 1499820*z**2.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 937, 2043, 3149?\nAnswer: 4255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 149817656 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 485289771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j + 2. Suppose 5*a = -2*p + p + 5, -5*p - 2*a + 48 = 0. Suppose -5*z + 0*z = -t - 31, -4*t - 29 = -z. Let o = p + t. What is w(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10220200112011 (base 3) to base 9.\nAnswer: 3820464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d, 1 s, and 1 i when four letters picked without replacement from {d: 4, s: 3, h: 2, i: 2, p: 6}?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -76 + 86. What is the common denominator of -75\/32 and n\/2 + 18\/(-16) + -5?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 1\/((-2)\/112)*296\/(-518)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:53 PM and 12:49 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.0423 + -0.7923. Let n = -0.752465 - x. What is n rounded to four decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and -102.\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 17*c**2 - 6*c - 27. Suppose -240 = -9*k - 96. Is h(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (19 - (-15 - (-16 + (-7 - -17)))) + 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -768 - -764. Let g(w) = -w**2 - w + 1. Let n(x) = 6*x**2 + 5*x - 2. Determine i*g(o) - n(o).\nAnswer: -2*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (8871*z - 8873*z + 3*z**2 + 3 + 9)*(-4*z + z + 0*z) in the form y*z + p*z**2 + k*z**3 + i and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 3*y - 1. Let t(j) = 155*j**2 + j - 1. Determine o(d) - t(d).\nAnswer: -155*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v**5\/2 + 117*v**4\/2 + 10695*v**3\/2 - 175857*v**2\/2 + 159588*v - 77064 = 0.\nAnswer: -52, 1, 13, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 138727 is divided by 393?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -142*w + 180114 + 664076 = 0. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 0*a + 6 = 0. Let i be ((-12)\/(-4) - 2)*5. What is the least common multiple of (-2)\/((i - 0)\/(-5)) and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 AM and 1:03 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5307.\nAnswer: 3, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1765, -2.2, -3\/5, -28?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - 0 - (-13 + 0 - -18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3618 + -3490. Which is smaller: h or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -136406.42 rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 5*q**3 + 2385*q**2 = 0.\nAnswer: -477, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -421 or -465?\nAnswer: -465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 11 = 3*g + 1, 5*k - 16 = -3*g. Suppose 4*t - 13 + 5 = 0, 4*t + k = 5*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/(i**(-3)*i)*i*i))\/(i*i**(-24)*i))\/(i*i*(i*i**(2\/5)*i*i)\/i*i)**48 assuming i is positive.\nAnswer: i**(-1206\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 540 = -31522*y + 31544*y - 32 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.08 * 84.6666\nAnswer: 6.773328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 55723, 111539, 167447, 223447, 279539, 335723?\nAnswer: 391999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 768*v + 760*v - 1575*v = -1833 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 101407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 + 540?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:48 PM and 12:43 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(27\/4)*w)**26\/(w**(-29))**(-46) assuming w is positive.\nAnswer: w**(-2265\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 667607, 667594, 667581, 667568?\nAnswer: 667555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 560 and 0.2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(6\/7))\/(((d\/d**(-20))\/d*d)\/d))**(-2\/23) assuming d is positive.\nAnswer: d**(254\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 122415054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*n**2 - 68*n + n**5 + 74*n - 12*n**4 - 2*n**2 wrt n?\nAnswer: 60*n**2 - 288*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -28*a**2 - 1276*a - 4217. Determine b(-42).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 12.83675598 to two decimal places.\nAnswer: 12.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -16*j + 46. Let l(p) = -2*p - 1. Let w(c) = -9*l(c) + x(c). Calculate w(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6539077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 3 - 6 = x, 3*x = 6. Suppose 4*p - w = -p. What is the first derivative of -2 - z**4 + p - 2*z**4 wrt z?\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -9*n**2 + 26*n - 2. Let k be d(3). Let g be 38\/(-30)*-1 + -1. Which is the third smallest value?  (a) k  (b) g  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/p**(-4))*p)**(-5) assuming p is positive.\nAnswer: p**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -803136 by -16732.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 - 8. Sort -5, t, 12 in ascending order.\nAnswer: -5, t, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**2 - 11*u - 2. Let q be a(-10). Let d = 13 - q. Let c be (3\/(-4))\/(d\/(-20)). Solve s + 13 = -4*g, -g + 5*s = -c*g - 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 52  (b) 0  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.1  (b) 0.617  (c) 3\/8  (d) 7007\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 + 2*y**2)*(1 + 3 + 4 + (-6 + 3 + 2)*(-1 + 1 + 2)) to m + d*y**2 + n*y and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13.160274*0.12.\nAnswer: 1.57923288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10 - 14 + 80 + 67 + 7*s to the form k*s + d and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 + -3. Suppose -5*j = -t*k + 45, 4*k + 0*j - 25 = j. Solve l + 2 = 4*d, 0 = -k*d + 5*l - 4 + 14 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the third derivative of -k**6\/120 + k**5\/60 + k**4\/24 + 11*k**3\/2 - 4*k**2. Let f be d(0). Suppose f - 13 = 5*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61 = 3*h - 56. Suppose 441*k - 841*k - 1660 - 597 = -461*k. Which is greater: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y. Let r(l) = 4*l + 2. Suppose 0 - 1 = b. Let w = 15 - 12. Calculate b*r(x) + w*i(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1 - 0. Let l = j + -0.2. Let z = 0 - l. What is the nearest to z in -5, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 2*c - 1107614 = 0, 3*c + 3026277 = -5*y + 257266. Let o be y\/(-6) - 8\/12. Round o to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 2*n = 30, -30*u - 2*n = -32*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*-1489418.\nAnswer: 4468254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1252, 4, 1, -2 in decreasing order.\nAnswer: 4, 1, -2, -1252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(28) + sqrt(7))**2 - sqrt(224)\/sqrt(2)) + 2.\nAnswer: -10*sqrt(7) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7.7046 and -34.61.\nAnswer: -266.656206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 559*f + 499*f = 1056*f + 234 for f.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 5408252286?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (1872\/416)\/((-12)\/(2\/2))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3953011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2488342.5*-0.1.\nAnswer: 248834.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 78106798 a multiple of 277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 25700 and 1246964.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 8*i**2 - 240*i + 1807. What is c(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n + 3*f - 21, -4*n + 17 = f - 5. Let k(q) = -q**3 - 4*q**2 - q - 13. Let c be k(-5). Let o = n + c. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 3. Let p = -145 - -148. What is the second biggest value in -0.2, p, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + -2.1. Let q be 2*9*(-1)\/(-6). Put -4, y, q in increasing order.\nAnswer: -4, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 81*j. Let v(b) = 2*b - 28. Determine v(o(y)).\nAnswer: 162*y - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 7*t. Let d(x) = 121*x + 1. What is s(d(g))?\nAnswer: 847*g + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-1045)\/14 - (96756\/1848 + -52)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 24, 12, 0, 5, -46, 3.\nAnswer: -46, 0, 1, 3, 5, 12, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a - k - 0*k, -3*k = a + 16. Let w(j) = 7*j**2 - 2*j + 5. Let x(m) = -m**2 + m - 1. Let c(z) = -w(z) - 4*x(z). Determine c(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-5 - -24 - (6 + 1 - -1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -2*x**3 - 5*x**2 + x - 121. What is n(0)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 47*r + 1914. What is y(-36)?\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 7, t: 1}. What is prob of sequence tnnn?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 225512850 to the nearest 100000.\nAnswer: 225500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**2 + 2*i + 7. Give w(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 697332 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11092014 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2034*x - 9238 - 3859 = -700*x + 863*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -38*b**2 - 9566*b + 2289900.\nAnswer: -2*(b - 150)*(19*b + 7633)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2337146*s**2 + 1168555*s**2 + 1168580*s**2.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -39*u + 17. Let b(q) = -123*q + 51. What is -6*b(h) + 19*i(h)?\nAnswer: -3*h + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97684271 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p + p + 8. Let v be (p - 1) + -7 + 7. Factor -20 - 6*c**v + 3*c**4 + 20 + 3*c**2.\nAnswer: 3*c**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (((sqrt(300) + 4*(sqrt(300) + (1*sqrt(300) - sqrt(300)) - sqrt(300)) - sqrt(300)) + sqrt(300) + sqrt(300) + sqrt(300))\/sqrt(6))**2 + -3)*1*-3.\nAnswer: -1350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2154.3 - -1935. Let m = 219.3927 + w. What is m rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 82305521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13 - 5 + 10*i - 13*i.\nAnswer: -3*i + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 20, 3, -256, -2, -1\/3, -5\/4 in ascending order.\nAnswer: -256, -2, -5\/4, -1\/3, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -5)*96\/360\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 242 a factor of 673486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 181145 or -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -7*k - 4. Suppose 5 = -3*m - s, m + s - 1 = -6. Suppose 3*z = -m*z + 21. Let i(a) = 8*a + 5. Let d(x) = z*n(x) + 6*i(x). What is d(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes after 4:03 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 + 91 = -f + 49 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-3)\/(-63))\/((-17)\/(-102)). Let h = -0.2 + 0.6. Let n = 187.8 - 192.8. Which is the closest to 7?  (a) o  (b) n  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 26063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 87\/((2\/16)\/(10\/30)). Suppose -736 = -8*s - m. Calculate the remainder when s is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 529843?\nAnswer: 41, 12923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1598366147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*x + 36 = -100 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -2*l**3 + 50*l**2 + 5*l + 59. What is the hundreds digit of i(24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 5*c + 48, -3*g + 3*c = -2*c - 94. Let a = g - 12. Suppose a = 4*s - 1. Solve -s*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(612) + 4 + (sqrt(612) + 1 - sqrt(612))**2*6 - (((sqrt(136)*2)\/sqrt(4))\/(-2*sqrt(162)))**2.\nAnswer: 793\/81 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -26 (base 12) to base 11.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (39 - (28 + -10)) + -40 - -34.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 5*i**2 - 7*i**2 - 5*i**2 + 5*i - 2. Suppose 0 = 222*k - 218*k + 16. Let z be n(k). What is z rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 0*d - 4*d = -400, -4*d = -a - 190. Let w = 820 + a. What is w rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 40, 70, -33, 2 in ascending order.\nAnswer: -33, 2, 40, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 194297 and 25241.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -9474 * -188.2\nAnswer: 1783006.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 615 and 1?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -4*c + 36, -16 + 2 = -f - 2*c. Solve -3*j = -4*g - 3, 4*g = -3*j + f - 25 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1756*y**3 - 2080*y**3 - 2*y + 4*y as d*y**2 + x + u*y**3 + b*y and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3220 and 133745.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -11 + v + v - 3*v. Let a be f(-5). Calculate the common denominator of -99\/10 and (-139)\/(-10) + a\/15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -869*u**4 + 446*u**2?\nAnswer: -20856*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -10377336 divided by -2?\nAnswer: 5188668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -5*s**2 - 1054520*s - 55600621520 = 0?\nAnswer: -105452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/(-14) + 143\/(-91) + 5. Suppose y - 8 = -2*f + 4, -p*f + 20 = 0. Solve -5 = -3*w + 5*i, 4*w - 2 = y*w + 3*i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12.1 - 12.6. Put -1, -3\/5, -4, g in ascending order.\nAnswer: -4, -1, -3\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/14 - 65*(-60)\/1575?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5.8 - -6.3. Let o = 1.546 - 0.046. Sort o, 1, v.\nAnswer: v, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(3*5*2*sqrt(300)*-1 + (sqrt(24)*-1*-3)\/(sqrt(8) + 1*sqrt(512))).\nAnswer: -1798*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1231\/2431 - 6\/187. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6028 by 27095.\nAnswer: -6028\/27095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 5*y + 110 = 2*g, -77 = -3*y + 4*g. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(385)\/((sqrt(56)\/sqrt(4))\/sqrt(2)))\/(sqrt(60)\/((sqrt(12)*2 + sqrt(12))*1)) + -5.\nAnswer: -5 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 286 is divided by 60.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1983463*p**2*s + 668475*p*s + s wrt p?\nAnswer: 3966926*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (((-27)\/(-75))\/(-3))\/((-33)\/55). What is the third biggest value in -0.1, -2, 20, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2991500, -2991484, -2991452, -2991398, -2991316?\n\"Answer: p**3 + 2*p**2 + 3*p - 2991506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 43904954 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 26 and 153322.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/12165 and -23\/17031.\nAnswer: 85155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*p**2\/5 + 568*p\/5 = 0. Calculate p.\nAnswer: 0, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -696 - -14a880?\nAnswer: 14a195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 104786 and 2?\nAnswer: 104786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7 and 120?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 + (-4)\/8)*2. Suppose 0 = 3*w - 7*w - 3*c + 31, -1 = -w - 3*c. Calculate the remainder when 37 - -2*k\/2 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-15*w + 9*w + 19*w)*(0 + 0 + 2) to s + b*w and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(17) - (sqrt(272) - sqrt(17))**2) + 3*sqrt(153).\nAnswer: -150 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 3, 1, 0.5, 31?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11a585 (base 12) to base 5.\nAnswer: -33201134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (6 + (9 - 1)) - (1 + 0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 3*b + 6, 4*w + 4 = b - 3*b. Solve -q - q = w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -282.87116 rounded to 0 decimal places?\nAnswer: -283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 50*k + 63*k - 113. Sort 5, -1, 96, 3, k in descending order.\nAnswer: 96, 5, 3, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 441*h**4\/4 - 3311*h**3\/4 - 438*h**2 + 29*h + 24 = 0?\nAnswer: -3\/7, -2\/7, 2\/9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -344, -672, -1000?\n\"Answer: -328*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 163988 and 33?\nAnswer: 491964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -7050 - -26877103?\nAnswer: 26870053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6871 - 6871 + 86*y**3 + (-4*y**2 + y**2 - y**2)*(1 - y - 1).\nAnswer: 90*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2*28 - -27347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 184, -0.6, -1\/6 in decreasing order.\nAnswer: 184, -1\/6, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(209) - sqrt(209)*-4)*2)\/(sqrt(11) - (1*sqrt(99) + sqrt(11))))**2.\nAnswer: 1900\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3142 + -2862. Calculate the least common multiple of 60 and n.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -cbb + -1c?\nAnswer: -cd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 - 37 - -18 - -25 - -25?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*p + 34*p = -1128. What is the least common multiple of 93 and p?\nAnswer: 4371","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 78 - 51. Let u be -1*(n\/(-3))\/3. Let r = 5 - 3. What is the closest to 2\/5 in 1, u, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, 89, 326, 793, 1568, 2729, 4354, 6521?\nAnswer: 9308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 + 1. Suppose 15 = -m*g + 63. Suppose 0 = 6*q - 430 + 142. Calculate the greatest common divisor of q and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5701?\nAnswer: 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the third derivative of -j**8\/1176 - 2*j**7\/735 - 26*j**2. Determine m, given that c(m) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 6.8, 2\/61, -3\/7 in descending order.\nAnswer: 6.8, 2\/61, -0.3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -636 divided by -4?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/4 + (-159)\/(-6). Suppose u = 5*p - c, 0*c = 4*p + c - 19. Factor 0*i + 0 + 18\/7*i**p + 6\/7*i**4 - 8\/7*i**2 - 16\/7*i**3.\nAnswer: 2*i**2*(i - 1)*(3*i + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 407693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 200 = -0*v - 5*v. Let s be ((-4)\/(-10))\/(28\/v). What is the closest to -4 in 2\/7, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1\/3)\/(3\/54). Suppose 0 = -0*l + 5*l - 135. Suppose l = 3*x - 48. Solve -k = -w + 5, w - u*w = 3*k - x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 45 + -44.28. Let t = 4.62 - n. Round t to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/(-6) - (-2)\/3. Suppose 0*m + 5*m = 0. Solve x = -3*s - i - m*i + 11, -3*i = -3*s - 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2 + 3 + -4 + 24. Let r(u) = 3*u**2 + 3*u + 3. Let y be 22\/(-8) + 2\/(-8). Let g be r(y). Calculate the greatest common factor of t and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**3 + 9*p**2 + 18*p + 5. Let n be z(-6). Solve -s - 4 = -4*x - 0*x, -4*s + 5 = n*x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 99 - 96. Solve 2*h = -3*n - 6, q*h + n - 5*n = -9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8950013 is divided by 101.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*l**5 + 2*l**5 + 0*l**5 + (-2*l + 1 - 1)*(2 - 6 + 3)*(136 - 136 + 7*l**4 - 6*l**2).\nAnswer: 13*l**5 - 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes before 7:06 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 11130 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 186 by -6.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j - j + 3*j)*(0*j**3 + 2*j**3 + j**3) + (24*j**2 + 50*j - 50*j)*(-2*j**2 + 2*j**2 + j**2).\nAnswer: 21*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0*(-2 - 0 - -1). Let j be y - -2 - (-237)\/3. Let v = j - 50. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**2. Let d(s) = s**2 + 1. Let c(u) = -u**3 - 2*u**2 + 4*u + 2. Let n be c(-3). Give n*a(z) - 3*d(z).\nAnswer: -2*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y + 12. Let c be u(-8). Suppose -2*o - 2*o = -c. Let k be ((-1)\/o)\/(14\/6). Sort 0, 0.1, k.\nAnswer: k, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(1\/3)*b**(-1)*(b**(-2\/3)\/b)**(-19)*(b**(-2\/13)\/b**(-2))**(-29) assuming b is positive.\nAnswer: b**(-293\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes before 12:23 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 + 3 - (-32856)\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -3*d**5\/5 + 3*d**4 - 6*d**3\/5 - 42*d**2\/5 + 9*d\/5 + 27\/5 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -52.39 + 2692\nAnswer: 2639.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l + 9. Let z(u) = -u + 5. Let r(b) = 3*b - 11. Let w(y) = -2*r(y) - 5*z(y). Let k be w(-3). Give a(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1093\/12 + 91. Let f = l - 1\/6. Let t = 1069\/7 + -153. Put t, f, -3\/5 in decreasing order.\nAnswer: f, t, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.03?  (a) 166  (b) -1\/3  (c) -0.3  (d) 1\/4  (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1\/40 - 3\/8. Let x = -3 + 4. Let b = -54.9 + 55.2. Put f, x, 0, b in descending order.\nAnswer: x, b, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.04113 + -0.6.\nAnswer: -0.55887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 958648544 to the power of 1\/3, to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/895584 and -83\/97618656.\nAnswer: 97618656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 6 + 12 = 0. Is f smaller than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/5 in 3\/88, 86, 0.23, 0.5?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 4*r - r = 25, 3*d - 2*d - 2*r - 1 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 0*z - z - 339, 4*z + 16 = 0. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 187574.387 to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5.9 - -0.9. Which is the second biggest value?  (a) -3  (b) 2\/7  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4399411 kilograms to tonnes.\nAnswer: 0.0004399411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 9 = -3*y, x - 2*y - 2 = -1. Which is the nearest to 2\/9?  (a) -3  (b) -10\/3  (c) -5  (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/v**(-10))\/v*v)\/v**(1\/5))\/((v**(-1\/8)\/v)\/v**8) assuming v is positive.\nAnswer: v**(797\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes after 2:13 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 109.0741 - -0.2259. Let h = i - 116. Let l = h + 7. Which is the nearest to 0?  (a) 1  (b) -4  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kgxgkkwkpwvkpkvwkxk. Give prob of picking 1 w, 1 v, and 1 p.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**3 - 136 + 284 - 147 - 16*i**2)*(-3*i + 5*i - 3*i).\nAnswer: -2*i**4 + 16*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -648349.069 - -658444.3690064. Let y = r - 10095. Let p = y - 0.3. Round p to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 3*l**2 + 10*l + 8. Let n be w(10). Suppose -n = -5*k - 8. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 36*a - 26*a - 4*a**2 - 16*a + 28*a**2 to the form h + o*a**2 + x*a and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qkj when three letters picked without replacement from wkwjwwqwwwqjwqwwq.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.039039 rounded to four decimal places?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 7*g - 3485. Let s(k) = k + 4. Give p(r) - 9*s(r).\nAnswer: -2*r - 3521","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, y: 1, g: 2, j: 1}. Give prob of picking 1 y and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -2*l**3 + 12*l**2 + 17*l - 17. Let d be k(7). Suppose -25 = 115*j - 119*j + y, -31 = -d*j - y. Calculate the remainder when 51 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 2 = 26. Let p be 9754 + (-3)\/((-6)\/f). Suppose 0*u + 14*u - p = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*a + 6*a - 6*a + ((2 + 1 - 5)*(-3 + 3 + 2) - 4 - 2 + 5 + 2 - 1 + 1)*(4*a + 3*a - 6*a + (-5*a + 3*a + 3*a)*(5 - 3 - 1)))*(9*a - 9*a - 2*a**2).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and -0.3.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 4, q: 15}. What is prob of sequence qqq?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (76\/950*-25)\/(6\/123)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 264008 + -547427305\nAnswer: -547163297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/23?  (a) 2\/131  (b) -1  (c) 5  (d) -24.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*y**2 - 23*y**2 - 39*y**2.\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 33 + 21220123?\nAnswer: 21220211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 149021*m**3 + 808524*m.\nAnswer: 894126*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 4*s = -104. What is the remainder when (-6)\/10*(-11 - s) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/(-3) + 435\/6*-4. Let u = -247 - x. List the prime factors of u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 155520 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 5 - 2)*(0*g**2 + 0*g**2 - 3*g**3) + 0*g**3 - 2*g**3 + 3*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -710 or -4971\/7?\nAnswer: -4971\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + 51*u + 16 = 47*u, -3*u = 5*q + 14 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of i**6\/360 + 7*i**5\/120 + i**4\/4 - 5*i**3\/6 - 7*i**2. Let h(a) be the first derivative of m(a). Determine h(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 190*x**4 - 13112*x**3\/3 + 10306*x**2\/3 + 95748*x - 336 = 0.\nAnswer: -4, 1\/285, 6, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 5 = 4*q. Let y(a) = a**2 + a - 4. Let t be y(q). What is the second derivative of -68*m**2 + 6*m + 45*m**t + 34*m**2 wrt m?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/154238 and 59\/2622046?\nAnswer: 2622046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35369.\nAnswer: 113, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2232344 - -2?\nAnswer: 2232401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1676227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -44261890 rounded to the nearest one hundred thousand?\nAnswer: -44300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the second derivative of p**5\/20 - p**4\/12 + p**3\/6 - 4*p**2 - 4*p. Calculate i(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -800*q - 5*g + 52 - 20 = -796*q, 0 = -2*q - 5*g + 36 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 119301692?\nAnswer: 2, 79, 377537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -63?  (a) -0.1  (b) 0.4  (c) 0.01  (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1\/898 - -451\/1796. Factor 0 - 3\/4*x - b*x**3 + x**2.\nAnswer: -x*(x - 3)*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97845 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (6 + (-2 - 2) - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22098?\nAnswer: 2, 3, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 112230 and 8335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 73153, 292163, 657039, 1167781?\n\"Answer: 72933*s**2 + 211*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -8*y - 3. Let z be j(-4). Suppose 3*p - z = 2*p + 3*r, 2*p - 5*r = 61. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*s**5\/7 - 6*s**4 - 219*s**3\/7 - 516*s**2\/7 - 528*s\/7 - 192\/7.\nAnswer: -3*(s + 1)**2*(s + 4)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 + h - 2. Let a(d) = -d**2 - 1. Suppose 6*x + 3*j = 4*x + 9, 4*x = -4*j + 24. Suppose 24 = -x*t + t. Determine t*a(r) + m(r).\nAnswer: 2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (67\/3)\/(67\/201). Is 68 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(612)*-3)**2.\nAnswer: 144*sqrt(17) + 5524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -30 - 1288312?\nAnswer: -1288342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61680 is divided by 20480.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l. Let a(w) = w. Let n(x) = -4*a(x) + 3*b(x). Calculate n(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39 divided by 2524.\nAnswer: 39\/2524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6183*s + 1524 + 3656*s - 3044 + 1520 to the form n + j*s and give j.\nAnswer: 9839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -751 - 380. Let k = x + 2052. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 31a3b + -290?\nAnswer: 3177b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 14 - 189482557272\nAnswer: -189482557258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:04 AM and 4:04 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (-12 + 12 + -7 + 9)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5319344 divided by -6?\nAnswer: -2659672\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 19 = -5*d, 2*d - 2 = -2*u - 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 474878163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 67*t**2 - 648*t - 101. What is r(10)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1886992106 rounded to the nearest 100000?\nAnswer: -1887000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 34879613?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.8 - -9.0548817676.\nAnswer: 7.2548817676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**4 - 303664*r**3 - 23056903518*r**2 - 599325542608*r - 3895282480609.\nAnswer: -(r + 13)**2*(r + 151819)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -9 - -62c44?\nAnswer: 62c39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2\/21, 10\/7, -5, 2\/9, 52.6, -2\/143?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(2\/27))\/v*v**4)\/(v*(v\/v**(1\/5))\/v)**15 assuming v is positive.\nAnswer: v**(-214\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*d**2 - 6*d**2 + d**2 + 2 + (-2*d - 4 + 4)*((-3 + 3 + d)*(-1 - 1 + 0) + 1238*d + 1238*d - 2437*d) as q + b*d**2 + m*d and give b.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 30 and 6130.\nAnswer: 18390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 87639131 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 157377776*f**2 - 2619*f + 27716 wrt f?\nAnswer: 314755552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 60 or 46?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 11 = -3. Let v be ((-5)\/((-45)\/6))\/1*3. Let b(r) = 2*r**2 + 12 + r**3 + r - 15 + v*r**2. What is b(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = 570 - 562 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 - 4 = 5*n. Let s be n - (-15)\/20 - 2\/(-8). Suppose -5*c + 152 = s*x - c, 5*c = 4*x - 188. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 59 + 0*g**2 - 394 + 331 - g**2 - 3*g + 0*g**2. Let l be 7\/(-2) - (-4)\/8. Let y(n) = -n**2 - 1. What is l*y(h) + o(h)?\nAnswer: 2*h**2 - 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes before 6:30 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 105*s - 3. Let u be v(11). Let y = -1627 + u. Let c = y + 696. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00290788927 to 7 dps.\nAnswer: 0.0029079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24055530 is divided by 812.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (309\/45)\/((-55)\/((-39600)\/(-48)))?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -4*f**3 - 14*f**2 - 15*f. Is m(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000154662 to 7 decimal places.\nAnswer: 0.0000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 21. What is the greatest common factor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113246 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3661325832.\nAnswer: 2, 3, 152555243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 120687?\nAnswer: 3, 7, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12864473.6509 - 24084087.65111. Let k = -11219562 - h. Let y = 52 - k. What is y rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -4 - 2*w - 4 + 5*w - 4*w. Let l be q(-10). Solve l*a = -3*a - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.064 + 2.056. Let g = -2 - -1.88. Let h = g + x. Which is the third smallest value?  (a) 0.3  (b) 0.2  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.08 - -2.08. Which is the biggest value?  (a) 0.1  (b) 0.09  (c) -2\/9  (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 m, and 1 i when three letters picked without replacement from reeelmiel?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 - -13. Let w = u - 0. Let v = w - 8. Sort -2, -5, v.\nAnswer: -5, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 113259662.\nAnswer: 2, 317, 178643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 - -14.1. Let n = i - 1. Let o be 76\/70 + 4\/(-5) - 0. Put 0, n, o, -2 in decreasing order.\nAnswer: o, n, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the second derivative of 0 + 1\/6*i**3 + 1\/6*i**4 - 3\/2*i**2 - 2*i. What is the units digit of n(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g**(3\/2)*g))\/g)\/(g\/(g*g**3))*g**(1\/4)\/(g**(-3)\/g)*(g**7*g**(-4\/3))**(7\/2) assuming g is positive.\nAnswer: g**(295\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3, 13, 25, 39?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 336*r - 393*r = 285 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000086685 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 28088 - 8427. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - l + 4 = 0, l + 4 = w + w. Let s be 28\/10 + 5\/25. Let m = s + 4. What is the least common multiple of m and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(245) - 3*sqrt(245)) + sqrt(35)\/(sqrt(42)\/sqrt(6)) + 2*(sqrt(80) + sqrt(80) + (sqrt(80)*-3 - sqrt(80)) + -4))**2.\nAnswer: 464*sqrt(5) + 4269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.0289+-2\nAnswer: -1.9711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 571, 577, 573, 547, 487, 381, 217, -17?\n\"Answer: -2*j**3 + 7*j**2 - j + 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/2*38\/57\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a micrometer in nanometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*z - 3660 = -8*z. Let x = z - -14577\/16. Calculate the common denominator of 43\/12 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -8 - -1 - (-25 - -19).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 8*q**2 - 23579*q - 922674 = 0.\nAnswer: -309\/8, 2986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -3*p**3 - 4*p**2 - p + 1. Let z(w) = -13*w**3 - 17*w**2 - 5*w + 5. Let m(i) = -9*b(i) + 2*z(i). Let x be m(-3). Put -1, x, -3 in descending order.\nAnswer: -1, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 31*n + 5. Let k(w) be the third derivative of 5*w**4\/8 + w**3\/3 + 2261*w**2. Calculate 2*h(b) - 5*k(b).\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 + 14*k**2 - 11*k + 160. Determine i(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 71485833 a multiple of 2816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1*(-1 + 1)\/(-3). Suppose 4*a + v - 224000 = h, 5*v = -4*a + 3*v + 224000. Round a to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 0*o + 118 = w, -520 = -4*w + 4*o. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -30485 - -51090. List the prime factors of o.\nAnswer: 5, 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 95*j**3 + 10*j**2 - 20*j - 5. Let g(h) = -h**3 - h**2 + 2*h + 1. Give -b(y) - 10*g(y).\nAnswer: -85*y**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4208 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -0.32, 7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -60*x**2 + 5*x + 5. Let r(n) = 90*n**2 - 7*n - 7. Determine 5*r(y) + 7*z(y).\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -81*r**4\/4 - 41091795*r**3 + 420050093*r**2\/4 + 52759905*r + 6087681 = 0.\nAnswer: -2029227, -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/4)\/(94\/(-78584)*171)?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 8149*m + 315. Let h be (-3)\/(-165)*-5 + 222\/22. Is s(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -36 - -66. Suppose -m = l + 620. Let n be (-1 - 1999)\/((-1)\/l). What is n rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -1. Let y(t) = -2*t - 4. Let v be 0\/6 - (0 + -3). Let l(b) = v*j(b) - y(b). What is l(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1930\/(-966) + 41 + -39. Let j = r - 55\/644. Which is the biggest value?  (a) j  (b) 0  (c) -0.2  (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 7. Let h(i) = -i - 2. Let r be h(-3). Let u be (-1)\/6 + (-645)\/(-90). Solve q*c - r - u = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -32 + 37. Suppose -3*l - b*s + 45 = -0*s, -4*l = -2*s - 34. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.035622607 to 5 decimal places.\nAnswer: 0.03562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 51326117 bigger than 51326128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -151\/12 and -97\/23104.\nAnswer: 69312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/80 not equal to 12.41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve s - 67*t + 68*t = 5*s + 7, 0 = -6*s - 2*t - 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/165)\/(10\/165).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 659194036?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5\/6, -8\/3, 32\/41, 2\/3, 0, 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*c**5 + 28*c**4 - 11*c**3 + 2*c**2 - 1005842*c.\nAnswer: -60*c**3 + 336*c**2 - 66*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rgg when three letters picked without replacement from {w: 3, c: 2, i: 6, r: 3, g: 4}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2)\/(-16))\/((-18)\/(-12)). Let d(c) be the third derivative of -1\/24*c**4 + 2*c**2 - f*c**5 + 1\/6*c**3 + 0*c + 0. Calculate d(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-6)*((-65)\/((-9360)\/324))\/(111\/2)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 5430143051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 25*v + 6. Let k be g(-7). Let x = k - -583. List the prime factors of x.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27083 - 46839 = -23*o. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 21 - 18. Find the second derivative of 1 + j**3 - 603*j + j**w + 599*j + 2*j**2 wrt j.\nAnswer: 12*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 195*a**4 + 13*a + 5*a - 177*a**4 wrt a?\nAnswer: 216*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -31386 - -345244\/11. What is the closest to 2\/7 in -443, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 904 divided by -8?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 4005301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 47196860 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 507267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.1 - -0.4. Let w = 15 - 16. Let a be 153\/315 - w\/(-5). What is the closest to -1 in a, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r + 5 + 1 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1625 (base 9) to base 3.\nAnswer: 1200212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 5*p**2 + p**2 - 1)*(-835 + 280 - 1062) to the form o + d*p + g*p**2 and give o.\nAnswer: 1617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 127227?\nAnswer: 3, 42409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -2*f + 14. Suppose 27 + 23 = 5*i. Let m be b(i). Let s = m + 10. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -422972343.1 to the nearest one million.\nAnswer: -423000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 188*d**2 + 97*d - 69427 wrt d?\nAnswer: 376*d + 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 209, 459, 875, 1457, 2205, 3119?\n\"Answer: 83*g**2 + g + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 7749.712 to the nearest integer.\nAnswer: 7750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (-3 - (88 - 0)) + (-3179 - -3192).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 16697 - 16767 = -6*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3700, 3652, 3604, 3556, 3508, 3460?\nAnswer: 3412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 89*v**2 + 123*v**2 - 312*v**2 + 99*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the third derivative of -k**4\/8 - 2*k**3\/3 - 4*k**2. Let b be 2 + 25\/(-4) - (-8)\/32. Calculate c(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002996 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -17 - 173?\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 0.004, 1\/4, -14.1, 14, 3 in increasing order.\nAnswer: -14.1, -0.1, 0.004, 1\/4, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(17\/3)\/k)\/k**(-44))**(1\/32) assuming k is positive.\nAnswer: k**(149\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -313.86 * -24\nAnswer: 7532.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 438840675?\nAnswer: 3, 5, 7, 13, 21433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -3*c**2 - 104*c + 3. Let d(u) = 11*u**2 + 314*u - 8. Determine 3*d(r) + 8*h(r).\nAnswer: 9*r**2 + 110*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 2284475600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 306*c = -162*c + 25272. Solve 69*x = 78*x + c for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) 0  (c) -39  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59472 = 224*a + 10454 - 46182. What is the remainder when a is divided by 53?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 != 1\/3872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21 + (1 - (-18 + 13)) - 17) + 5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 47 + -45. Calculate the smallest common multiple of s and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000948 to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 163671 and 267?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k + 4. Let d(r) = -4*r + 1. Let c(y) = 7*y + 4. Let z be c(-1). Let w(h) = -5*h + 3. Let b(a) = z*w(a) + 4*d(a). Determine 5*b(j) + 6*t(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 322608.\nAnswer: 2, 3, 11, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes after 10:26 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1668 (base 11) in base 3?\nAnswer: 2220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-12)\/(-30) + (-364)\/10. Let x be (-2)\/(-1) - l\/(-15). What is the biggest value in -3\/2, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 z, and 1 o when three letters picked without replacement from {h: 5, z: 3, j: 1, e: 2, v: 3, o: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-8\/7))**8\/(d*d\/d**19*((d**0*d)\/d)\/d))**(-33) assuming d is positive.\nAnswer: d**(-2046\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**3 - 1539 - 4*u + 6*u**2 + 1548 + 6*u. Give n(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = f - 133, 73 = 5*f - 4*d - 516. What is f rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**2\/5 + 62*d\/5 - 52.\nAnswer: -2*(d - 26)*(d - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 5*12\/(-10)*(-1)\/(-15)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five eighths of a week in minutes?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -288593 + 1073064. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 48062 - 24399. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/96696 and 19\/40.\nAnswer: 483480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(102)*3 + sqrt(102))\/sqrt(6)*-1.\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 69*s - 4. Let n(x) = 69*x - 5. Give -5*n(g) + 6*w(g).\nAnswer: 69*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 3\/25 of a millisecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -7205, -7099, -6919, -6665?\n\"Answer: 37*w**2 - 5*w - 7237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h + 8*h + h + (-2*h + 1 + 3*h - 2)*(4 - 2 - 4).\nAnswer: 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 3*g + 3*d, 17366*d - 17371*d + 20 = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.03, -74, 0.4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18 - -33. Let a(w) = w + 1. Let b be a(5). Suppose -b*u = -u - t. Is u smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/7  (b) -2\/3  (c) 68.2  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53378558 is divided by 403.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 1184\/9*m**3 + 1024\/9*m + 214\/9*m**4 - 2560\/9 + 14\/9*m**5 + 2624\/9*m**2 = 0.\nAnswer: -4, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20*b - 92*b + 51*b)*(-5 + 13*b**2 - 10*b**2 - 2*b**2).\nAnswer: -61*b**3 + 305*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from {i: 3, k: 2, v: 1, b: 1, r: 11, y: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 5*y - 1, -3*u - 7*y + 41 = -3*y. What is the remainder when 30 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-200)\/225)\/((-2)\/9). Solve 2 = -w*o + 3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, 3\/2, -4\/3, -2, -1.\nAnswer: -2, -4\/3, -1, -1\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17 + 14. What is the nearest to j in -1\/4, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8 and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:45 AM and 8:10 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -22235 minus 0?\nAnswer: -22235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (168 - 43)\/(9 + -4).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*m**3\/7 + 1454*m**2\/7 - 124*m\/7 - 1254\/7 = 0.\nAnswer: -33\/38, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-35 - 105 - 32)*(-8*j + 3*j - 8*j) as x + i*j and give i.\nAnswer: 2236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the first derivative of 2*l**6\/15 + 3*l**5\/5 + 2*l**4\/3 + 3*l + 4. Let g(i) be the first derivative of c(i). Factor g(b).\nAnswer: 4*b**2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23.8 minus 4?\nAnswer: -27.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 28*w - 102 - 256 + 162 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 30 and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 54644801101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (10\/12)\/(-5) + 50\/12. Suppose j*o - 4*d = -0*o + 24, 3*o - 4*d - 20 = 0. What is the least common multiple of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 6 = 3. Suppose -3*j = -m - 517, j + 0*j - z*m = 175. Suppose q = -5*h + 215, -h - 3*h + j = q. What is the remainder when h is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -93 - -145. Suppose v - 21 = -2*k, 3*v - 12 = k + 8*v. What is the greatest common divisor of k and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0804 * -369\nAnswer: 29.6676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 272632818 and 5.\nAnswer: 1363164090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17 + -8. Let t(i) = -10*i + r*i**2 - 3 + 14*i - 7*i. Is t(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (32\/(-10))\/(0 + (-6)\/15). Is -1\/3 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7739.3 > 42.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10?  (a) -5  (b) 1  (c) 0  (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 23010 - 23010. Solve -f + 7 - 3 = q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 43165 and 35?\nAnswer: 302155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the second derivative of c**4\/12 - c**3\/3 - 3*c**2 + 7*c. Let h be l(4). Let y(x) = 19*x - 5 - 20*x - h + x**2. What is y(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/23139 and 145\/5018592.\nAnswer: 45167328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**2 - 25*j - 35. Determine w(21).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.5 + 3. Let j = -805\/8 - -101. Which is the smallest value?  (a) 0.2  (b) i  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 2*j**2 - 47*j + 313. Calculate w(7).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times -7.357?\nAnswer: 14.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 813 divided by 4.\nAnswer: 813\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**3 - 4*j**2 - 2*j + 3. Let g be 3 - 1 - (3 + 2). Give z(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 34\/5 + (-84)\/(-70). Solve 8 = s*n + 32 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9*m*x - 209*m - 4*x - 59 wrt m.\nAnswer: -9*x - 209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -5, -4, 79, -1 in increasing order.\nAnswer: -5, -4, -1, 4, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the third derivative of 5*p**4\/24 + 7*p**3\/6 + 12*p**2. Is g(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1189604 divided by 91508?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -603 - -603. What is the fourth smallest value in p, -0.3, -2\/11, -3.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22e86 (base 16) to base 12.\nAnswer: 6a8b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.8718 and -11275777?\nAnswer: 11275776.1282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*4*2*sqrt(68).\nAnswer: -96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 268261095?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - ((828\/(-33))\/23 - 7662\/(-66))?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0006998 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 0 + 75 - (534 - 528)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -2*q**4 + 35132*q**3 - 6366936*q**2 + 82712708*q - 76380902 = 0.\nAnswer: 1, 13, 169, 17383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 114318647 to the nearest integer?\nAnswer: 10692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(2 + 15\/(-9)). Let z be 2\/y*3\/(-6). Let v = 11 + -13. Which is the nearest to 0?  (a) z  (b) -4\/7  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 21*g**3 + 18*g**3 - 27*g**3 - 3*g**3 + 0*g**3 - 2*g**3 + (g**2 + 4 - 4)*(6*g - 2*g - 3*g) - 2*g**3 - g**3 + 0*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 0) + -15 + 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - -14. Solve s + 12 = 4*k + 5*s, -2*s = -2*k - z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.186855 - 38.73\nAnswer: -38.916855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 1759279*d - 533. Let z be j(27). What is z rounded to the nearest 1000000?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2214960 and 6?\nAnswer: 2214960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 3) + 6 + (-4 - 4) + -5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -272*q - 78*q + 18 - 4 - 12.\nAnswer: -350*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**2 - 6*a - 8. Is r(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4103617, -4103620, -4103623, -4103626, -4103629?\nAnswer: -4103632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 2*q**3 - 8*q**2 + 10*q - 6. Let r be m(6). Suppose -9*l = -12*l + r. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12125822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1001 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -3*y**2 + y + 4. Let j(s) = s**3 - s**2 - s. Let q(o) = -c(o) - j(o). What is q(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0.01, -0.7, -1, 1.3 in increasing order.\nAnswer: -1, -0.7, 0.01, 1.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**2 - 2*b + 2. Let p(o) = 2*o - 2. What is -3*i(n) - 4*p(n)?\nAnswer: -3*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-5))\/((j*((j*(j*(j\/(j\/((j**(-4)*j*j)\/j))*j)\/j)\/j)\/j)\/j)\/j)*(j**0)**25*(j**(2\/9)\/j**7)**27 assuming j is positive.\nAnswer: j**(-183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 245716.8cm in millimeters?\nAnswer: 2457168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 3*u + 2*u + 7 - 6. Calculate the remainder when 161 is divided by l(8).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (14 + -9 - 8) - 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -950213*w**2 - 950197*w**2 + 1900385*w**2.\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -5*3\/((105\/69)\/(-7)). Let g(s) = -s**3 - 2*s**2 - 2*s + 4. Let m be g(-3). Let d = v - m. Calculate the remainder when d is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11386, -11462, -11538, -11614?\nAnswer: -11690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the second derivative of -7*d**3\/6 - 5*d**2 + 6*d. What is the remainder when r(-7) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3*-20*4\/(-8). Let u = -24 - z. Let k be -4 + 0 - -2 - -4. Solve k*b + u = -4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -5 + (sqrt(833) - 1*sqrt(833)*-1) + 2)**2.\nAnswer: -56*sqrt(17) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1098825 and 2318043?\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 102059*k**3 + 102260*k**3 - 204314*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - -144?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = 2*t - 540, 4*k = 5*t - k - 1385. Solve 61*p - 6*p = t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 - 3*x**2 + x + 62. Determine t(0).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {n: 1, k: 1, j: 1, y: 1, t: 2, q: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -115720 divided by -22\nAnswer: 5260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 116820061?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (5764\/24)\/(-11) - 2 and -44\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101*l = 102*l - 7. Suppose 11*j = l*j + 1648. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 2*k**2 - 41*k - 67. Let m be o(-13). Calculate the highest common divisor of 18 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 17 bigger than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (17\/1666*49)\/(((-10)\/(-3))\/(-2))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u = -2*u - 16. Let q(z) = 2*z - 6. Calculate the lowest common multiple of (-16)\/(-7) + (-6)\/21 and q(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:03 PM and 12:52 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 820.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9199 - -0.12.\nAnswer: -9198.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000582112 to 7 dps.\nAnswer: 0.0000582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 3*k - 19 = 0, 0 = -d - 0*d - 4*k + 13. Solve d*u = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes after 12:05 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19954 is divided by 6627?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 162 and 2614302?\nAnswer: 7842906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10011110100 + 11?\nAnswer: -10011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 5*d = 87797, 5*d = -948*x + 950*x - 25067. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d + 2*d + d. Suppose 2*w + 1 - 5 = 0. Let c(l) = -w*l - 5*l + 5*l. Calculate c(n(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11, 23, 53, 107, 191, 311, 473, 683?\nAnswer: 947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 117 - 114. Suppose -10*r + 13*r = a*n - 3, 2*r + 2 = -3*n. Find j, given that 1\/3*j**5 - 1\/3*j**4 + 1\/3*j**2 + n - 1\/3*j**3 + 0*j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r*r**(-3)*r**8*((r\/(r*r\/(r*r*r**(-2\/5))))\/r*r)**(-14\/9) assuming r is positive.\nAnswer: r**(76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 213029176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 18 + 6*y - 6*y**2 - 22 - 20*y.\nAnswer: -2*(y + 2)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/10*(-86)\/86.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 24 + -3. What is the remainder when y is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the first derivative of -25*d**4\/4 + 8*d**3\/3 - d**2 - 16*d + 168. Let o be h(6). What is o rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + 9 + -9 + -16.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 96418556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**2 + 6*i - 10. Let s be m(-8). Suppose c + 245 = s*c. Let p = 194 - c. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 477043?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 + 15. Round k to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**2\/3 - 76924172*t\/3 - 1479332059471396\/3.\nAnswer: -(t + 38462086)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*d*f**4 + d + 29*f**4 + 2*f**2 wrt f.\nAnswer: -120*d*f + 696*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*k - 26*k + 49*k - 185 = 4*d, -4*d - 183 = -3*k for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2029 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 27 = -46. Let q(p) = 21*p - v - 41 + 31. Is q(4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes before 5:35 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7511.3 + -7511. What is the smallest value in -0.2, -1\/51, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = 2*z + 27, z - 29*i - 6 = -25*i. Let p be (-35)\/(-21)*z\/(-10). Let t(r) = -37*r**3 - r. Give t(p).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31071465?\nAnswer: 3, 5, 47, 59, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rgrrrrrrg. Give prob of picking 2 r and 2 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g = 5*n - 45, -19*g + 17*g = n - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1225621.\nAnswer: 1225621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 9:33 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10*f**2*t*v**2 + 8*f**2*t + 19*f**2 - 3*f*t*v**2 - f*v**2 + 12*t*v wrt f.\nAnswer: -20*t*v**2 + 16*t + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 - 15\/2. Which is bigger: 0.2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -36*l + 169. Let y be o(5). Let z(r) be the second derivative of -r**3\/6 + 5*r**2\/2 - 2*r. What are the prime factors of z(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0\/(-3))\/(3*-1). Suppose a = -2*i - i. Solve i = r + r - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4*(-3)\/(-2))\/(63\/63).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -39*n + 65*n - 1215786. What are the prime factors of n?\nAnswer: 3, 11, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 + -3. Let t be 7\/3 + p\/6. Suppose v + 13 = -5*m, t*v + 2*m + m + 5 = 0. Put -3, -1\/5, v in decreasing order.\nAnswer: v, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 150167 or 1051159\/7?\nAnswer: 150167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1188.03 - -1188. Suppose -4*g + 11 = -2*p - 9, -3*p + 3*g = 18. What is the third biggest value in 0.09, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + -4. Suppose 329*m = -190*m - 3114. Let u = -0.04 - -2.04. Sort m, u, s.\nAnswer: m, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -10, -23, -34, -31, -2, 65, 182, 361?\n\"Answer: 2*f**3 - 11*f**2 + 6*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 34\/(-8) + 2\/8. Let t(p) = -p**3 - 4*p**2 - 2*p - 2. Let d(i) = -i**3 - 7*i**2 + 11. Calculate the lowest common multiple of d(0) and t(h).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1959741356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 103.8045 litres in millilitres?\nAnswer: 103804.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the second derivative of -k**4\/12 - k**3\/2 + 5*k**2\/2 - k. Let d be f(-5). Suppose 4*v = l - 7, -12 + 5 = -v + 2*l. Sort 1, v, d.\nAnswer: d, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -47.35 - 1.65. What is the biggest value in z, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 o, and 2 i when four letters picked without replacement from ozzggzcgogzivigzgzg.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 60\/(-7761)*-16 + 10\/(-65). Let r = u + -368\/995. Put 1, 4, 9, r in descending order.\nAnswer: 9, 4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35901219.\nAnswer: 3, 1181, 10133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1242 + 1237. What is the biggest value in -5\/3, -3, -0.3, 24, b?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1188 and 3168.\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.007 + 2.007. Let d = -79 - -123.5. Let x = d + -45. Sort 0.1, x, c in descending order.\nAnswer: c, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 69782 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-45)\/(-10))\/(39861\/(-172)).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that i**2\/2 + 373*i\/2 + 1991 = 0.\nAnswer: -362, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 9*b**4 - 6*b**2 - 6*b + 42. Let o(j) = -10*j**4 + 5*j**2 + 5*j - 41. Let y(v) = 6*o(v) + 5*r(v). What is the derivative of y(q) wrt q?\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.07*173\nAnswer: 12.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the first derivative of -3*a**2\/2 + a + 4. Calculate the remainder when z(-2) is divided by 1\/(9\/4 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 384*v**3 + 142*v**2 - 5*v - 6. Let n(k) = k**3 - k**2 - k - 1. Let y(u) = 6*n(u) - o(u). What is the third derivative of y(d) wrt d?\nAnswer: -2268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -10*r**3 + 361*r**2 - 37*r - 38. Give s(36).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13\/4 + ((757123\/564)\/89 - 36).\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 1314 - 154. Suppose h + 3*h = l. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-60)\/(-50))\/((-4)\/5 - 2). Which is the third biggest value?  (a) -6  (b) 0.1  (c) u  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**3\/13 + 782*b**2\/13 + 2332*b\/13 + 1552\/13.\nAnswer: 2*(b + 1)*(b + 2)*(b + 388)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 4 = -11. Suppose -i*o + 1 = -47. Calculate the common denominator of o and ((-99)\/(-84))\/((-3)\/(-8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 4*j**2. Let i(d) = -2*d - 35. Give i(y(k)).\nAnswer: -8*k**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4251 + -4247. Solve 3*r + 12 = -2*u, r + u + 4 = w*u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -949\/1110 - -4\/185. Let q = -2\/29 - 83\/58. Let d = 2 + q. Which is the third smallest value?  (a) d  (b) x  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6.29 + 36.61. Let j = o + 194.1. Let b = 236.99873 - j. Round b to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 - -6*5\/10. Solve -5*p - 3*z + 19 = 0, 0*p + i*p - 3*z - 16 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 1\/3*u**3 + 0*u + 2\/3*u**2 - 1\/3*u**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -69, 12, 10\/17, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -23 + 17. Let u(x) = x**3 + 6*x**2 - 3*x - 15. Let h be u(l). Suppose -2*z + 12 = -z. Calculate the greatest common divisor of h and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/7, -3, -2, 149?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jzb when three letters picked without replacement from {j: 4, s: 1, z: 2, b: 1, y: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 26, 17, 8, -1, -10, -19?\n\"Answer: -9*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15 and 4155?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6 less than -6718342?\nAnswer: -6718342.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 13, 2, -11356 in decreasing order.\nAnswer: 13, 6, 2, -11356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0.4, -1\/4, -2\/25.\nAnswer: -2, -1\/4, -2\/25, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 106439676 and 672.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-261)\/(-319))\/((-259)\/(-407))?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 110819 at most as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.01  (b) 0  (c) -0.5  (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 4 + 4609*h**4 - 4610*h**4 + h**2 + 0*h**3 - 14*h**3 to x*h**3 + z*h**4 + g*h**2 + r + k*h and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3664597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from yhlxt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2022 - 1981. What is the remainder when 189 is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 7, c: 4, g: 2, n: 1, x: 1}. Give prob of picking 2 g and 2 t.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-52)\/(-208))\/((-6)\/4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -192 - -108. Let x = -86.72 - c. Let k = x + 0.72. Which is smaller: k or 24?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 2*x**2 - 7*x + 7. Let u be 4\/(-14) - 4\/(-14). Let v(k) = -k**2 - k + 6. Let q be v(u). Is z(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the third derivative of k**6\/40 + 359*k**5\/60 + k**4\/12 - 898*k**3\/3 + 1427*k**2. What is the second derivative of l(o) wrt o?\nAnswer: 18*o + 718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1232977137 a multiple of 442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -741650, -741484, -741198, -740786, -740242, -739560, -738734?\n\"Answer: r**3 + 54*r**2 - 3*r - 741702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1240360 (base 7) to base 14\nAnswer: -429a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4641 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/16 + (-28)\/(-16). Suppose 4 = -2*x + c. Let j = -5 + 5. Put j, 6, x in decreasing order.\nAnswer: 6, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*j + 3 = 28*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1149422203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10?  (a) -0.13  (b) 2.41  (c) 4  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 4*x + 41442, -6*w = -3*w - 6. Is 2*-1*-3*x\/(-54) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 8 and 103\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s - 1. Let x(b) = -b**2 + 2*b + 8. Let f(h) = 4*o(h) - x(h). Is f(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 1 + sqrt(180) + -3*(sqrt(180) + -2*sqrt(180)))**2 + (sqrt(180) - (sqrt(180) + 1*sqrt(180) + 0)**2 - (-1 + sqrt(180) + -5)**2).\nAnswer: 30*sqrt(5) + 1945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w - 44. Give t(26).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m**3\/3 + 1058*m**2\/3 - 67571*m - 14436948 = 0. What is m?\nAnswer: -124, 591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 - 6*k**2 + 7*k - 3. Let n = 0 - -5. Is h(n) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -4*w + 3, 0 = 5*c - 2*w - 136. Let u be ((-4)\/6)\/(c\/(-126)). Solve -q = 3*d - 2 - 15, 0 = 3*d - u*q - 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 20*z**5 + 3*z**4 + 13*z**2 - 3*z. Let x(d) = 21*d**5 + 4*d**4 + 14*d**2 - 4*d. Let k(i) = 4*c(i) - 3*x(i). Find the third derivative of k(p) wrt p.\nAnswer: 1020*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 35 + -50. Let u = n - -17. What is the units digit of (80\/32)\/(1\/u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 307644 to the power of 1\/2, to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1281659*t**3 - 114*t**2 + 1281657*t**3 + 114*t**2.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.450439 millilitres to litres.\nAnswer: 0.000450439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 212.0206 - 0.0206. Let f = z + -208. Let u = -0.1 + 0. Which is the closest to u?  (a) 5  (b) f  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -197, -184, -171, -164, -169, -192?\n\"Answer: -g**3 + 6*g**2 + 2*g - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**3 - 4*j**2 - 8*j - 3. Let w be y(-2). Solve 4*m + 2*d = -6, 0 = -w*m + 2*d + d - 35 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w**4\/13 - 980*w**3\/13 - 984*w**2\/13 + 980*w\/13 + 982\/13 = 0.\nAnswer: -1, 1, 491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -101*d**3 + d**2 + 6*d + 6. Let x be t(-1). Find the first derivative of -31*h**2 + x*h**2 + 58 - 16*h**2 wrt h.\nAnswer: 110*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15, -145, -359, -657?\nAnswer: -1039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/(-12)*32\/6. Let c = -4 + 2. Which is smaller: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j - 2*j + 4, 3*j - 130 = b. Suppose 0 = 3*a - 6*a - 252. Let c = a - b. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 980e0b (base 16) to base 11\nAnswer: 56969a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4865, 4893, 4917, 4937, 4953, 4965?\nAnswer: 4973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = 3*l + 90. Let n = 1 - l. What are the prime factors of n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -5*c + 19, 5 = -5*c + 30. Let o(f) = -2982814*f**3 + 2*f**2 - 2*f - 1. Let x be o(i). Let k = x + 7237477. Round k to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**3 - 13*j**2 + 12*j - 22. Suppose -32 = 4*u + 24. Let t be z(u). Solve -2*r + 4 = t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(896) + 6*2*sqrt(896) + sqrt(896) - sqrt(896)*-2*5)\/(1*sqrt(288)*-5 - (sqrt(288) + sqrt(288)*1)*-6).\nAnswer: 16*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1202222 (base 3) to base 8.\nAnswer: -2417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 13\/4 of a week?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 - 11. Suppose 5*w + 4*g + 31 = 0, -h = -3*w - 4*g - 33. Let x be (600\/7)\/(w\/(-3360)). What is x rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 34421192 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 5:49 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2\/7  (b) 2\/5  (c) -3  (d) -0.1  (e) 9\/2  (f) 4\/171  (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 3 a when four letters picked without replacement from {p: 8, a: 5}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 621731, 621754, 621779, 621806?\nAnswer: 621835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2, -2300, 15 in increasing order.\nAnswer: -2300, -1, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 730 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 21233*r + 2373. Is s(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -0.3, 21\/5, 0, 0.3, 157\/13 in descending order.\nAnswer: 157\/13, 21\/5, 0.3, 0, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*k**4 + k**4 + k**4)*(0*k - 3*k + 903 - 964).\nAnswer: 9*k**5 + 183*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(8)*-6 + -1 - (sqrt(22)\/(sqrt(22)\/sqrt(2))*-3)**2.\nAnswer: -19 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -325 at least as big as -304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:02 PM and 6:33 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -5\/4, 3, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -56\/5  (b) 179  (c) 17\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 44496\/927*3\/(-3)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -13*g**2 - 21*g - 1. Let v be k(-6). Let t = 486 + v. Suppose -5*j + t = -592. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12114 and 301504.\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3935206 is divided by 40.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -838.989976 - -839. Let h = 0.01 - u. Round h to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*z + 2*z + 2*j + 2, -z = -j + 6754 - 6753 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/14, -3\/5, -275?\nAnswer: -275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 272083?\nAnswer: 7, 47, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.317 - -0.041. Let m = n - 0.4. Let i = 0.07 + m. What is i rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10.7 + 13.7. Which is the fourth smallest value?  (a) r  (b) -2  (c) -1.5  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the first derivative of -p**2\/2 + 18. Let u = 7 + -5. Let o(c) = 0*c**2 - 2*c**2 + 0*c**u. Determine o(z(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -139 - -84. Let r = x + 52.1. Let g = -3 - r. Put g, 0, -1\/8 in decreasing order.\nAnswer: 0, g, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -827*o + 2. Let l(g) = 30*g**2 - 85*g**2 + 25*g**2 + 32*g**2. Calculate l(q(u)).\nAnswer: 1367858*u**2 - 6616*u + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 8) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 15738 and 387.\nAnswer: 47214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-3)\/(-5))\/((-6)\/(-90)). Suppose u = 4*q - 3. Let m = q - 7. What is the closest to 0.1 in -1\/8, m, 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0\/((-17)\/(153\/18)))\/(-6). Put 4, n, -3 in descending order.\nAnswer: 4, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**2 + 508*u + 32016.\nAnswer: 2*(u + 116)*(u + 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**4 - 5*u**4 + 0*u**4)*(-1 - 3 + 7) + 7*u**4 + 10*u**4 + 39*u**4 - 3*u**2 + 3*u**2 + 2*u**4 + (-u**4 + 3*u - 3*u)*(3 + 0 - 5).\nAnswer: 51*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1844 - 1849. Let u = 443 - 3983\/9. Which is the fourth smallest value?  (a) 2\/21  (b) -4\/9  (c) j  (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -898 + 888. List the prime factors of (-2)\/m + 6704\/5.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 69 and 54?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27*k - 29*k + 58 - 67)*((2*k**3 + k**4 - 2*k**3)*(-2 + 2 - 2) - k**4 + 0*k**4 - k**4 - 2*k**4 - 4 + 4 + 62*k**4 + 152*k**4 + 17*k**4).\nAnswer: -450*k**5 - 2025*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:07 PM and 11:05 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 + 24*w**2 - 45*w - 1300. Calculate the remainder when j(-16) is divided by 47.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(192)*-4 + sqrt(192)*2 + 5 + sqrt(192))**2 + -1.\nAnswer: 880*sqrt(3) + 23256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -53*i**2 - 4*i. Let p(s) = 54*s**2 + 2304*s + 2331*s - 4632*s. Give -3*k(f) - 4*p(f).\nAnswer: -57*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c**5 - 2*c**5 + c**5)*(-12 - 15 + 7) + 6*c**5 + 3 - 3*c**5 - 11*c**5.\nAnswer: 52*c**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 54144*o**4 - o**2 - 2*o - 17143.\nAnswer: 1299456*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -381413 by 381413.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 + 7*r**2 - 5*r - 1. Let m be t(6). Let y = 25 - m. Calculate the lowest common multiple of 6 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25301893753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 497*y + 482*y - 344*y to the form n*y + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 36 divided by -21768\nAnswer: -3\/1814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -612 - -712. Calculate the highest common factor of m and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 3 - 8)*(0*y + y + 0*y)*(-3*y - 3*y + 5*y) to z*y**2 + i*y + b and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 75331.99 years?\nAnswer: 753.3199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**3 + 4*d - 3. Let q(k) = 3*k**3 + 11*k - 8. Let t = 2105 - 2094. What is t*s(n) - 4*q(n)?\nAnswer: -n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 7 times 0.127\nAnswer: 0.889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3134)\/(-4701)*(-204)\/8.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 33690737219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 27087940781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 109958299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -205 - -111. Let f = -92 - o. Let n = 2.9 - 2.5. Which is the second smallest value?  (a) n  (b) -1\/6  (c) f  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 2.5. Let t be 640\/(-96)*3\/4. Put w, 1, t in ascending order.\nAnswer: t, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1031244303 (base 5) in base 15?\nAnswer: -2da81d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 13285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2584, 20265, 67906, 160375, 312540, 539269, 855430, 1275891?\n\"Answer: 2478*n**3 + 112*n**2 - n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 23 - 12. Let h(z) = -12 + 6*z + 4 - d*z + 7*z. Let c be h(4). Solve 0*k - k = c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**2 - 15*x + 12. Let t be u(-15). Suppose 7*z + 5 = t. Which is the closest to -0.1?  (a) 5  (b) z  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 272 and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -3455 - 3462 + 6917 + 5*c - c. Let j(f) = 22*f. Determine s(j(a)).\nAnswer: 88*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 730\/1771 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1437 is divided by (-2630)\/(-70) + 2 - (-3)\/7.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -129.9 + 130. Let r = 1 + 3. Let o be (1\/10)\/((-3)\/24). What is the closest to p in r, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2343420 and 1108.\nAnswer: 2343420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 34978224 by -4372278.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -13, -21, -41, -79, -141, -233, -361?\n\"Answer: -y**3 - y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -18*y**4 + 554*y**3 + 77812*y**2 + 17264*y = 0.\nAnswer: -52, -2\/9, 0, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmbx when four letters picked without replacement from bmoxomowxo?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*i**3 + 0*i + 0*i - 41*i**3 + 38*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -9\/403, 1\/3, -81?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -5*v. Let c(m) = 29*m + 1. Calculate 6*b(x) + c(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -13*x + 38. Let s(h) = -4*h + 12. Let i(z) = -2*q(z) + 7*s(z). Calculate i(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 49815615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*z - 14*z = -32. What is the greatest common factor of 32 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 2*o**2 - 3. Let v be x(4). Let i = 31 - v. Suppose 0 = -4*a + 71 - 15. What is the highest common factor of a and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -3*x**2 + x + 4. Let d = -51 - -56. Let o be h(d). Let g = 5 - o. What are the prime factors of g?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -189*h + 1507. Give b(14).\nAnswer: -1139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*l - 2*l + 960*l**2 - 980*l**2.\nAnswer: -20*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**2 - q - 6. Let f be m(0). Let r = -2 - f. Sort -4, -1, r in descending order.\nAnswer: r, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -2*(-1)\/(-10) - 836294\/(-395).\nAnswer: 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -10 - (-1 - 6 - (-19 - -3795)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -s + 2*s, 0 = 3*u - 2*s + 1. Let y(p) = 5*p**3 - 3*p**2 - 2*p. Let h(g) = -g**3 + g + 1. Let m(d) = u*y(d) + 6*h(d). What is m(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 330*j - 799*j + 2 + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**3 - 20*z**2 + 46*z + 46. Let q be o(-22). Let t(v) = 4*v**2 - 28*v - 93. Let h be t(-3). What is the highest common divisor of h and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*o + 21*o + 4*o + (o - o + 2*o)*(1 + 1 - 4) + 0*o - o - o.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**10\/f*(f*f\/f**(-2\/5))\/f)**15\/((f*f**(5\/2))\/f*f\/(f*(f\/((f**(-1\/14)\/f)\/f))\/f)*f*f**(-7)*f*f*f**(-3)) assuming f is positive.\nAnswer: f**(1138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -3*a + 2370. Let m(f) = 53*f. Determine r(m(y)).\nAnswer: -159*y + 2370","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 - -20 - (-7 - 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**2 - 12*z - 1. Determine y(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 74599940 to the power of 1\/2, to the nearest integer?\nAnswer: 8637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 11309265 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -130 - -132. Let z(c) be the second derivative of 0*c**r + 0*c**3 - 4*c + 0 + 0*c**5 - 1\/12*c**4 + 2\/15*c**6. Find the third derivative of z(p) wrt p.\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes before 11:36 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**5 + 4305*d**4 - 4302*d**3.\nAnswer: -3*d**3*(d - 1434)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 16, 0.1, 3\/71, -4, -8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/8?  (a) 0  (b) 2\/33  (c) -4  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -38*(7\/21 + (-29)\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 6*v - 43. Let q be t(8). Suppose -16 = q*r - 61. Let n = -9 + 16. Solve 0 = 3*z + r, -p + 3*z = -18 + n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 7963921, 7963945, 7963999, 7964095, 7964245, 7964461, 7964755?\n\"Answer: 2*x**3 + 3*x**2 + x + 7963915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = 2*v + 28. Suppose -y = -0*y - v. Factor 18*j**4 + y*j**2 - 2*j**5 - 17*j**4 - 4*j**2 - 6*j**3 - 11*j**4.\nAnswer: -2*j**2*(j - 1)*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g - 3*g + g)*(-19 + 114 + 2 + 130).\nAnswer: -454*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 35 + -31. Suppose 0 = -w*i - 2*i - 18. Let d be (-55)\/(-15) + i\/(-9). Solve -2*l + 10 = d*q, 0*l - 8 = q - 3*l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, u: 4, y: 2, i: 1, x: 4, m: 6}. Give prob of picking 1 i and 1 x.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -25360*a**4 + 4*a**2 + 71*a + 24 wrt a.\nAnswer: -608640*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -56 - 4 - -1 - (3 + -16 + (13 - -13)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.1844422s to hours.\nAnswer: 0.0006067895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**2 - 11*a - 10. Let s(i) = -i**3 + 5*i**2 + i. What is the remainder when v(-7) is divided by s(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-2))**18*(w**(2\/9))**35 assuming w is positive.\nAnswer: w**(-254\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**3 + 9*w**2 + 5. What is h(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5.347*1.\nAnswer: -5.347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:50 AM and 11:57 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lxll when four letters picked without replacement from {l: 5, x: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -65, 4, -2\/13?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*f**2 + 537*f - 388*f - 322*f - 1 + 1 - 2*f**2 + 1 + f**2 - 1 - f**2 + 0*f + 0*f + (-2*f + 6*f - 2*f)*(0*f + 0*f + 2*f) - f + f**2 + f + f**2 - 3 + 3.\nAnswer: 7*f**2 - 173*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + 16*o = 4*o. Suppose 13*u - 18 - 73 = o. Solve 30 = -u*j + j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 13147*z + 302124. Calculate t(-23).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -20564709, -41129435, -61694161, -82258887?\n\"Answer: -20564726*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2\/9839 + -462477\/216458. What is the common denominator of l and -2*(-14)\/560*-43?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1039 and 1040 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of -8*h**5\/5 - h**4\/2 - h**3\/3 + 13*h**2\/2 - h + 11. Is q(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p**2 + 3*p**3 + p**2)*(-p**2 - 2*p + 2*p) + (-4 + 0 + 5)*(-7*p**5 - 5*p**5 + p**5).\nAnswer: -14*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*c - 4*c - 6*c - 4*c + c + 4*c + (2*c - c + c)*(-1 + 4 - 2))*(-30 + 15 + 13).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*r**5 + 833*r**2 + 55*r - 15 wrt r.\nAnswer: -40*r**3 + 1666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-33)\/(-12) - ((-6)\/2)\/12. Suppose 3*p - 70 = i*z - 16, 38 = 2*p - 3*z. What is the remainder when 156 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15.0055 - 15. What is d rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:20 PM and 3:53 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15 - 10. Suppose 4*a = -5*l - 22, -16 = l - f*a - 0*a. Let d be (-2)\/(-33) - (-2)\/l. Do d and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*d**3 - 69432*d**2 - d + 5883114 wrt d?\nAnswer: -9*d**2 - 138864*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + n + 2 + 2 - n - 2 + (2*n - n + 2*n)*(-2 + 0 + 0))*(2*n**4 + 0 + 0).\nAnswer: -12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 19043887 and 601?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -4*m, m = p + 6*m - 32. Suppose -37117 + 3145 = -p*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -398 = -43*f + 75 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**3)**22 assuming g is positive.\nAnswer: g**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-364)\/(-1638) + 448\/(-1029)*5\/12.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 437053 is divided by 205?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 6*a + 8 = 2, 4*p - 2*a = -2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -203000 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 43, 5, -2, -33 in ascending order.\nAnswer: -33, -2, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + k + 2271 = 3*w, 1512 = 2*w - 2*k. Suppose -5*p - 3*c = -423 - w, 5*p + 4*c = 1173. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7522.007 kilograms to grams.\nAnswer: 7522007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -520280 (base 11) in base 16?\nAnswer: -cbd33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h**2 + 3*h - h**2 - 4*h**2)*(796*h - 397*h - 398*h + 2).\nAnswer: -2*h**3 - h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/581 and 60\/581?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4211\/(-1) + (0 - -1). Let s(v) = -104*v**2 + 36*v + 251. Let o be s(-8). Let p = z - o. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 39 + -37. Suppose -5*a + 4*z + 36 = 0, 4*z = -6 - 10. Let q = 0 + a. Which is greater: q or t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-6)\/(-4))\/(-2 + 0). Suppose 1 = 4*m - m + i, -5*m = 2*i - 2. Which is the closest to m?  (a) -0.5  (b) z  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**2 + 4*c + 109. Is o(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 2*x - 11 = r, 2*x - r + 7 = 0. Let w = 98 - x. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -182461*d - 364820. Determine o(-2).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 449, 902, 1355, 1808, 2261?\n\"Answer: 453*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2 + 3)*5)\/1. Suppose w*p = 10 + 10. Suppose p*h = 55 + 89. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9 + 11. Suppose -872*a = -1231*a. Suppose 5*d = 3*x - 50, -x + 5*d = -5*x + 20. Solve -n*g + a = x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101\/(4242\/(-336)) + (1 - 7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5\/((-407)\/(-330) + (-2)\/5). Calculate the highest common divisor of w and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 72 and 186604.\nAnswer: 3358872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41048.\nAnswer: 2, 7, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 + 314\/(-78) + 2. Let n = 5\/39 - b. What is the biggest value in 5, n, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 - -11010241412?\nAnswer: 11010241413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**3 - 5*s**2 - 9*s + 5. Calculate z(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2207783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 16274527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (1*(sqrt(147) + (sqrt(147)*-2 + 5 + sqrt(147) - sqrt(147)) + 1*(sqrt(147) - (0 + sqrt(147)))))**2 + -5.\nAnswer: -70*sqrt(3) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3\/8, 2\/13, 1, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 20 divided by 4257\nAnswer: 20\/4257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11111100101001010111 - 111?\nAnswer: -11111100101001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in 168, -0.1, -3\/4, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -52130 and 0.4?\nAnswer: -20852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-11)*b*(b*b*b**(-2\/45)*b)\/b)\/(b**10*((b*b\/(b*b**(-2\/5)*b))\/b)\/b) assuming b is positive.\nAnswer: b**(-148\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7891 is divided by 3938?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + 1. Let j be 30\/9*(q - 16). Let w = -24 - j. What is the remainder when w is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = 3*l - 162. Let b = -79 - -154. Let o = b + -53. What is the remainder when l is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 3385*n**3 + 4089*n**2 + 5. Let v(p) = 5073*p**3 + 6133*p**2 + 8. Let o(l) = -8*d(l) + 5*v(l). Find the third derivative of o(u) wrt u.\nAnswer: -10290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -5*h. Suppose -269*o + 1004 = 81 + 116. Let f(b) be the third derivative of -2*b + 0 - 17*b**2 + 0*b**o + 1\/30*b**5 + 0*b**4. Give s(f(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 138274213 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-5\/3)\/y*y**(-8) assuming y is positive.\nAnswer: y**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/14, 0.1, -2, -54, -6\/5 in descending order.\nAnswer: 3\/14, 0.1, -6\/5, -2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the first derivative of b**6\/60 - 3*b**3\/2 - 11*b**2\/2 - 9. Let t(f) be the second derivative of m(f). Differentiate t(v) wrt v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-3)\/3)\/(2\/(-18)). Suppose 9*m = 4*m + 15. Let s = q - m. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = -5*i + 5*q, 0*q + 10 = -2*q. Suppose -24 = -i*k + 3*k. What is the lowest common multiple of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6513\/7 - 930. What is the nearest to -2\/7 in b, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6539 = -l - 5*u, 1 + 2 = 3*u. Let b be (50\/15)\/((-2 - -5)\/l). What is b rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-589*z + 49*z + 81*z)*(-2*z + 2*z**2 + z - 2*z).\nAnswer: -918*z**3 + 1377*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/8, -0.5, 0.2, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:10 PM and 10:26 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6686 - -6690. Solve -v*y + 25*y = 105 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 67800 and 452904?\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 37*o + 879. Calculate k(-16).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - 2 - 5*k + 4*k + (0 + 4 - 6)*(4*k - 4*k + 4*k).\nAnswer: -9*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-5 - -7) + (-44)\/24)\/(30\/(-270))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 20*d - 236. Determine k(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 252.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 9.110935 grams?\nAnswer: 9110935000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 9*i - 7*i. What is the highest common divisor of 35 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 57.6 + -17.6. Which is the third smallest value?  (a) 1\/6  (b) x  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 515*l**2 + 26*l + 21. Let p = 235 - 239. Is d(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 2 d when three letters picked without replacement from {b: 1, o: 3, k: 2, d: 9, h: 3, p: 2}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 3*(12\/(-54))\/(4\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (54\/15)\/3*(-20)\/6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2. Let m(w) be the third derivative of 3*w**5\/20 - 43*w**2. Give f(m(r)).\nAnswer: 81*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-48)\/(-512)*-8*36\/135.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*a + 36*a + 29*a = -273 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 4, -220, -5, -1, -27 in descending order.\nAnswer: 4, 3, -1, -5, -27, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/2733190 and 23\/180.\nAnswer: 49197420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 305 - 361. Suppose -4*u + x = 2*d, 2*u - u - 2*d = -3. Let a(w) = w**3 - 6*w**2 + 6*w - 6. Determine a(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 40391 + -40396. Let g = 0.7 - 1. What is the second biggest value in 3\/5, j, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -124 - -123.49. Let p = h + 0.495. Round p to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 + -101010101100101111?\nAnswer: -101010101100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = -7*y + 12*y + 5, 2*y + 2 = 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15023.\nAnswer: 83, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/(25\/(-16)) + 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -11 - -15331?\nAnswer: 15320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2354245 is divided by 233.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -5*m**3 + 38*m**2 + 27*m + 187. Is s(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 35 + 7?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 3*v - 186 = -2*v, -4 = v. Let y = -101 + j. Suppose -2*l - 29*o + 54 = -31*o, 0 = 2*l + 4*o - 54. What is the remainder when y is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 26 - (1 + -4 + 4 + 8)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {k: 2, c: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + -7 - (178 - 130)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {w: 1, m: 6, u: 2, n: 3}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.95 - -0.05. Which is the nearest to -2?  (a) -0.1  (b) l  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.12 plus 68532?\nAnswer: 68531.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 73603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 + 145.76348\nAnswer: 145.56348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21403?\nAnswer: 17, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 12658179*q**2\/4 + 443036259*q\/4 - 105\/2 = 0.\nAnswer: -35, 2\/4219393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1213377 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*g - 513 + 153 = 0 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 6, h: 4}. Give prob of picking 4 h.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*w + 34*w - w = -180 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qeieceqqcqe. Give prob of sequence qqiq.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -612*n - 2*n**2 + 8*n**2 + 608*n. Let y(h) = -13*h**2 + 9*h. Determine 5*j(c) + 2*y(c).\nAnswer: 4*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1)\/4)\/((-10)\/16). Suppose 3*v - 5*o + 20 = -9*o, -4*v - 5*o - 25 = 0. Determine t, given that v + y*t**2 - 6\/5*t**3 + 4\/5*t**4 + 0*t = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + 3426 - 456. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 4*g + 5 = 0. Sort -1, g, 2.\nAnswer: -1, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nlmvlnlvml. What is prob of picking 1 l, 1 m, and 2 n?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 7*(-1)\/4*(-16)\/(-20). Is n bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes after 5:36 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -11*h - 13. Let r(t) = 21*t + 25. Let j(a) = 7*n(a) + 4*r(a). Let d(p) = 8*p + 10. Determine -6*d(i) + 7*j(i).\nAnswer: i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -1. Let i(u) be the second derivative of -u**4\/2 - u**3\/3 - u**2\/2 + 6*u. Let v(q) = -i(q) + 2*y(q). Is v(2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23694893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -2131*c**2 - 10*c - 14. Let t(a) = -2*a**2 - a - 2. What is s(j) - 7*t(j)?\nAnswer: -2117*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand p + 0*p - 3*p + (2 - 3 - 1)*(-2*p + p - p) - 3*p + 4*p + 9*p - 2*p + p + 4*p + 2*p + 0 + 0.\nAnswer: 17*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1, 31, -1 in descending order.\nAnswer: 31, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2471872 and 27190592?\nAnswer: 27190592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 48\/(-18)*213\/1846\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 1007*r - 501*r - 492*r - 53. Determine g(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 5) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 15) + -2 + 14\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 15*i**3 - 452*i**2 - 9*i - 97. Give y(30).\nAnswer: -2167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6023 + 6989. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -29, 4, -2\/9, -6, 362?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*f + 681*t - 678*t = f - 47, -4*f - 5*t = 22 + 45 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -149\/24 and 87\/752?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11773*b*h**3*q - 5*b*h**2*w + 197*b*h**2 - 8*b*q*w - 24*h**3*q - 5*h**3*w - h**2*q*w wrt h.\nAnswer: -70638*b*q - 144*q - 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1259271 is divided by 419754?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -24.964 - -25. Round v to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 + 17. Suppose 2 = 3*n + 2*a, y*n - 2*n + 4*a = 4. Suppose 0 = -4*m + 4*j + 28, m + 4*m + j - 35 = n. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28769 divided by -8\nAnswer: -28769\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 10224 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 32821487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 359\/5 - 362\/5. Let d = 119303\/47320 - -9\/2366. Find the common denominator of d and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8940401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than 72\/203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4\/7, -1\/2, -3065\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 19*a. Let w(h) = -h**2 + 12*h + 4. Let c(z) = -15*z - 5. Let b(x) = -4*c(x) - 5*w(x). Determine b(g(p)).\nAnswer: 1805*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 38, 63, 86, 107, 126, 143?\n\"Answer: -x**2 + 28*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4b7 (base 12) in base 14?\nAnswer: -391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4086 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 1651916197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 42, 50, 58, 66, 74?\n\"Answer: 8*w + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, 2\/3118479, 0.1 in increasing order.\nAnswer: -1\/2, 2\/3118479, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2418 and -2?\nAnswer: 2416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -4412*n. Let p(c) = c**2. Calculate d(p(h)).\nAnswer: -4412*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*s - 24 - 10 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 2*u + 10 = 0, 4*q + 5*u - 25 = -0*q. Let o(h) = h. Let a be o(q). Suppose -2*b + 3*x = -22, a = b - 0*b + x - 16. List 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 prob of sequence sum when three letters picked without replacement from {u: 2, s: 8, m: 9, v: 1}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.399979 - 2.4. What is s rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 15322 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -5*g**3\/3 - 3475*g**2\/3 - 573310*g\/3 + 2349160\/3 = 0.\nAnswer: -418, -281, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 127\/((-1)\/3*36\/(-24)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in fourty-seven quarters of a millimeter?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, 18, 4, -539, 19, -1 in decreasing order.\nAnswer: 19, 18, 4, -1, -3, -4, -539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/9 + -138*468\/1944?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1872) + 1 + sqrt(1872) + sqrt(143)\/(1*sqrt(11)).\nAnswer: 1 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1243691372 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 289041 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: What is 328337.8 rounded to the nearest 1000?\nAnswer: 328000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 14\/(-10)*(-65)\/(-4) and 99\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1948715 + -1951309.0012. Let z = a + 2614. Let x = -20 + z. Round x to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2\/3, -3\/2, -32 in descending order.\nAnswer: 4, 2\/3, -3\/2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 10755, 10628, 10501, 10374?\n\"Answer: -127*w + 10882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -257127 < -257119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.6 + 4.4. Let o = -352 - -118. Let m = o - -238. Which is the smallest value?  (a) 1  (b) s  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 34 + 31. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -5*v**3 + v**3 + v**3 + 4*v**2 + 9 + 2*v**3 - 2*v. Let z be g(4). Suppose -5*u - 4 = 2*i, 8*u = 3*u + 2*i - 16. Sort z, u, -3 in ascending order.\nAnswer: -3, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 3, -15157 in descending order.\nAnswer: 3, -7, -15157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 529712300?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 403.5388 weeks?\nAnswer: 67794.5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 4*t - 140, -t - 4*t - i + 157 = 0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 5*z - 10 = 3*f, -2*z + 4 = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4670022 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 11160491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -265 - 47d?\nAnswer: -6e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mrmmmmmmppprmprrmmmm. What is prob of sequence pppm?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10560*s + 1818358 = -27554*s for s.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 - -10 - (-2 - -13). Let q(p) = 3*p - 2. Let u(j) = 4*j - 1. Let k(c) = 6*q(c) - 5*u(c). Let o be k(-6). Solve i*h - 7*h = o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 plus 1.754?\nAnswer: 0.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 - 4*a**2 + 11*a + 50. Let y be p(8). Let b = 399 - y. Which is bigger: 46\/9 or b?\nAnswer: 46\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 61*r. Let i(j) be the first derivative of -80*j**2 - j - 10007. What is y(i(p))?\nAnswer: -9760*p - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -967 + 1439. What are the prime factors of u?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -92\/7*l**2 + 24 + 3860\/7*l = 0.\nAnswer: -1\/23, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21466404 (base 7) in base 4?\nAnswer: -13003110303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + 9 + 27. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 2 - 3. Let m be (4\/(-6))\/(2\/(-9)). Let w be 0\/((m + -2)\/1). Solve 5*f + 4*z + 11 = 1, w = 4*f + l*z + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10349 and 233603.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.52003627 and -10628.2.\nAnswer: -10627.67996373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2000806 is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 68 + 14*w**3 + 43 - 39 - 11*w**3 in the form f*w + u + p*w**2 + s*w**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -159, -156, -149, -132, -99, -44?\n\"Answer: v**3 - 4*v**2 + 8*v - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 139\/28998 and 119\/18.\nAnswer: 28998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (2*sqrt(110))\/sqrt(10) + (-2 + sqrt(11)*-2 - (sqrt(11) + -1*sqrt(11) + -1)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4788805)\/(-31402)*(-4)\/50?\nAnswer: -61\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (23 - 122 - 7)*(704 - 15*d - 17*d - 704) as s*d + y and give s.\nAnswer: 3392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -0*o - 46. Solve -4*n = -4*p + n + 29, 0 = 3*p - 4*n - o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 22*p + 23*p - 11790. Let j = p - 167. Is 19 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3428478 and 3428478?\nAnswer: 3428478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 119\/1776 and -139\/33300.\nAnswer: 133200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 - -2 - 1 - -13. Let c = m + -11. What is the closest to -1\/5 in -5, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vssq when four letters picked without replacement from {s: 3, v: 6, u: 4, q: 3, w: 4}.\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12910, 12994, 13078, 13162?\nAnswer: 13246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1960472?\nAnswer: 2, 269, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the third derivative of r**8\/504 - r**7\/105 + r**6\/60 - r**5\/90 + 14*r**2. Determine s, given that y(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.033 * -580582.\nAnswer: 19159.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4823 or -4829?\nAnswer: -4823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(14\/(-12))\/(-7).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001188365 rounded to 7 dps?\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2979257 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.2807  (b) -1  (c) 3\/4  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a**5 + 16560*a**4 - 13728030*a**3 + 26745160*a**2 + 532918275*a + 986049000 = 0.\nAnswer: -3, 8, 1655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -243 - -236. Let c(s) = 11*s**2 + 9*s + 15. Is c(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b + 12. Let k be p(-5). Suppose -k*o = -108 - 130. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1463 and 367455?\nAnswer: 48871515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*n + 44*n = -9365. Let h = n + 3216. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*k - 30*k - 45*k.\nAnswer: -60*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -110*s - 847. Let u be n(-8). Solve -4*y = -3*m - 4, -u*y = 4*m - 32*y - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 5*(sqrt(10)\/sqrt(125))**2*-5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 606928618 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of l + l - 162 - 5*l**2 + 136 wrt l?\nAnswer: -10*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6257291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**3 - 5*y**2 - 37*y + 108. What is o(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14882 is divided by 244?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000094941 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (441\/14)\/3*(5800\/(-87))\/50\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40968809.\nAnswer: 7, 43, 131, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - t + 431 = 0, 168*o - 173*o - 3*t = -2143. Put o, 0, -0.4 in descending order.\nAnswer: o, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 8) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -5455, -43737, -147693, -350161, -683979, -1181985, -1877017?\n\"Answer: -5473*t**3 + t**2 + 26*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -4 - 3 - 1 + i. Let r be d(6). Let l be (-9)\/(-84) - r\/(-8). Which is the nearest to 0.1?  (a) l  (b) 4\/3  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 i when two letters picked without replacement from rnrriiv.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + 0. Suppose 8 = -4*n - 4*b - 8, -5*b = -3*n - 4. Let p = 10 + n. Solve -3*q = -2*o - p, 3*o + q - 5 - g = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000395928739 rounded to 6 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 + 7.1. Let u = 0.887 + 0.113. Which is the fourth biggest value?  (a) v  (b) 1\/8  (c) 3  (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*t**3 - 58*t**3 + 139*t**3.\nAnswer: 128*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -211772 divided by 19252?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -176862193\/395 - -447753. Let x = f + -1\/79. Which is the biggest value?  (a) -0.2  (b) x  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 4*y = -20, 0*b + b + 4*y = 14. Suppose -2*d + 8 = -b*f - 7*d, 0 = 3*f + d - 14. Let t = 8 - f. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f + 0*f = -112. Let s be (-35)\/f*3\/(-45). Factor -s - 8\/3*a**2 + 4\/3*a.\nAnswer: -(4*a - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**2 - 5*c + 7. Let j be l(-5). Let r = j - 5. Calculate the greatest common divisor of r and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1797 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -126568, -253134, -379700, -506266, -632832?\nAnswer: -759398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -115 by 137865.\nAnswer: -23\/27573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2608632 (base 9) to base 4\nAnswer: 11123202203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*-1)\/(7\/(-7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**8\/r**(1\/2)*(r**(-6)*r)\/r**(-2\/3) assuming r is positive.\nAnswer: r**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 43.8 - 39. Let q = -1.8 + d. Which is the biggest value?  (a) -3\/5  (b) q  (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -3*r**3 - 5*r**2 + 19*r - 2. Suppose -200 = -7*l + 57*l. What is the remainder when b(l) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 509?  (a) 0.08  (b) 0  (c) 10\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 74*x**2 + 3*x. Let j(b) = 18*b - 82*b + 20*b + 41*b. Give l(j(o)).\nAnswer: 666*o**2 - 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*a - 994 = -202. Solve -36*t + 3 = -a*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 - 13) + -6*(-8)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.95 to two dps.\nAnswer: -0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o**(-1\/3)*o))**(-19))**(-5\/11)*((o*o**(-1\/3)*o*o)**(-2))**(-1) assuming o is positive.\nAnswer: o**(271\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 57697 - 38259. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + sqrt(1584) + 0 - sqrt(1584) - sqrt(1584)) + sqrt(99)\/((sqrt(81) - sqrt(81)*-2) + sqrt(9)))**2.\nAnswer: -119*sqrt(11) + 158271\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-40 + 0)*(-2 + 1). Is 4 a factor of (96\/x)\/(3\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8.4 + -8.3. Which is the nearest to 4?  (a) 1  (b) v  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11100101100 - -1010?\nAnswer: -11100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of -y**6\/6 - y**5\/5 - 7*y**4\/3 + y**3\/3 - 35*y. What is the third derivative of j(i) wrt i?\nAnswer: -120*i - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from asssssassas. What is prob of sequence sssa?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9 - -12. Suppose w + j*w = 64. Let h = w - 8. What is the remainder when 21 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 7\/4 of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1750 and 2170?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 0*k - k = 48, -5*p - k = -69. Suppose -2*s = 4*h - 8, -2*s - p = -h - 2*h. Solve b = -5*z - 17, h = -4*b - 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - -1 - 1) + (5 - 12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 127185, 189 in decreasing order.\nAnswer: 127185, 189, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 292533821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -4*b + 13, -15*f - 1 = -3*b - 16*f. Let k(t) be the second derivative of 0 + 1\/12*t**4 + b*t + 5\/6*t**3 - 2*t**2. Give k(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11 + -11. Is 3*(14372\/12)\/1 + o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 18 = -3*d, -4*d - 27 = -3*s + d. Factor m**3 + 2*m**4 + 7*m**3 + s*m**2 + 3*m**2 + 2 + 8*m.\nAnswer: 2*(m + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 190294081 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0.5+-4250486866726\nAnswer: -4250486866725.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1 * 44\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -327 divided by 3.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/6)\/(3\/72*16)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-26) - (81\/(-78))\/3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((1*sqrt(220))\/sqrt(11))\/(sqrt(484) - (sqrt(484) - -1*sqrt(484))).\nAnswer: 3*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5842 - 5621. Solve -10*x + 181 = b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w - 2*w + 0*w)*(0 + 5 - 3)*(3 + 2 - 4)*(-1 - 2 + 2)*(-5*w**2 - 19*w + 19*w).\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**2 + 28*i + 142. What is r(33)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(170)\/(3*sqrt(80)\/sqrt(8)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = -4*h + 2*h. What is the remainder when h is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 - 3) + 0 + 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 187427c - a?\nAnswer: 1874272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = -10*z - 0*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -3, -f = -u + 11 - 4. Suppose 0 = -4*z - z + 655. Suppose -1303 = -u*d - z. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ace when three letters picked without replacement from {e: 5, a: 3, s: 1, c: 4}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 8:24 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 137501442 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 226347 rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12631 is divided by 745.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-35 + 39 - 26 - 31) + (2 - -2).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 381.34 + -1660979.\nAnswer: -1660597.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1*(2 - 3 - -7). Let o be 10\/(3*4\/g). Let a = o - -5. Solve 0 = f - a*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, a: 3}. What is prob of picking 2 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86*5\/40*4 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 73, -1136 in descending order.\nAnswer: 73, 3, -1136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -5  (b) 3  (c) 4\/3  (d) -1\/8  (e) 14\/999  (f) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*u - 24*u - 252 + 54 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1700716 by -8812.\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**3\/5 - 54*h**2\/5 - 31*h - 102\/5.\nAnswer: -(h + 1)*(h + 2)*(h + 51)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 27 * -3234\nAnswer: -87318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 52829?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 478 - 950 - 28*g + 7*g + 472.\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -703, -1410, -2113, -2812, -3507, -4198, -4885?\n\"Answer: 2*g**2 - 713*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3384 and 1116?\nAnswer: 104904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1267193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 44 and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 12*v - 17*v - 60 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10889\/5 + 2178. Which is the third biggest value?  (a) -2  (b) w  (c) -69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 630\/(-63) + (-122)\/(-12). Let a(h) be the third derivative of -9*h**2 + 0*h**3 + 0 + 0*h + i*h**4. Let s(x) = -6*x**2. Determine s(a(w)).\nAnswer: -96*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 1167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8555 - -8544.869. What is i rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = 14*i - 78, -18 = p + 205*i - 209*i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 253 a factor of 29382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**3 + 7*m**2. Let x be h(-7). Suppose x*l - 3 = 3*l. Is l equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*z - z - 3*z)*(-222 + 222 - 30*z)*(2 + 1 - 13).\nAnswer: 600*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**2 + 2*t - 12. Let f be a(-5). Suppose y - 5*i - 228 = 0, 0*y + f*i = -4*y + 797. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**3 - 5*y**2 - 3*y + 3. Let q(w) = w**3 + 45. Let h be (-3)\/(-12) + (-2)\/8. Let n be q(h). Let g be (-4)\/(-18) + (-190)\/n. Determine i(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 327 - 318. Suppose 0 = 5*q + h - 89. Calculate the least common multiple of 2\/(-4) + 50\/4 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 2 + 6 = 0. Let m = n + 7. What is the greatest common divisor of m and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -5. Suppose 3*j - f = 2. Suppose 5*v = 2*d + v - j, -3*v + 12 = 0. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 193089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**3 + 2*q**2 - 5*q - 4. Let z be v(-3). Let g = 15 - 13. Let a be (-12)\/g*3\/(-2). Solve z*x + 5*l - 1 = 0, -4*x + 3*l = -a*x + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*a - x = 17*a - 33*a + 8, -163 = -a + 21*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(2736)*-2)**2)*3.\nAnswer: 32817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/2*144\/40*4848\/909.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-66)*(-369)\/(-123)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -83047, -332122, -747251, -1328440, -2075695, -2989022, -4068427, -5313916?\n\"Answer: -x**3 - 83021*x**2 - 5*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -100336, -200656, -300930, -401134, -501244, -601236?\n\"Answer: 4*n**3 - n**2 - 100345*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 422 + -11?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 1 + 2 + -20 + 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1234187 or 33323084\/27?\nAnswer: 1234187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1911961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 4*m - 5*a = -5, 5*m + 3*a = 22. Let o be (0 - (0 - -2)) + 16 + 1. Suppose -20*t + o*t = 15. What is the nearest to -1 in -4, t, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9864637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1976111\/2995 - 3299\/5. Is g less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 14*c - 18*c - 5 + 1 + 5. Suppose 7*s = 3*s + 40. Let i(y) be the second derivative of -7*y**3\/6 + y**2 + y. Determine s*b(o) - 6*i(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, z: 2, g: 1, s: 1}. What is prob of sequence st?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the first derivative of -h**5\/5 + 9*h**4\/2 - 31*h**3 + 68*h**2 - 60*h - 2097. Factor m(w).\nAnswer: -(w - 10)*(w - 6)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 151\/2175108 and -125\/39858.\nAnswer: 15225756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 81 + -77. Suppose 0 = w - 4*z + 10, -u*w + z - 40 = -z. Put 1, w, 3 in ascending order.\nAnswer: w, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, q: 2, h: 1, m: 1}. Give prob of picking 1 f, 1 m, and 1 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**3 - 7*y**2 - 7*y - 6. Let k be l(8). Let s(x) = 3 - k*x + 0*x + 2*x + 2*x. Give s(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 5*y = -0*p + 49, -3*y = -3*p + 9. Suppose 3*v - 4*b + 2 - p = 0, 4*v + 20 = -4*b. What is the remainder when 47 + (v - (2 + 0)) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 276572 is divided by 481?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000018748 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 8 = 2*w, -4*h - w + 1 = 15. Let v = 5 + h. Suppose 0 = 4*c - 5 + 1. Calculate the greatest common divisor of v and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 3*h - 4. Let r(j) = 337*j + 1685. Let o be r(-5). Determine f(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*v + 9*v = -50 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhf when three letters picked without replacement from ghgggghggghgggfg?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the third derivative of -7*l**6\/120 + 5*l**3\/2 - 8*l**2. Differentiate s(u) wrt u.\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/18)\/(17\/(12\/((-8)\/4))).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -383192 + -30855\nAnswer: -414047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 + 7. Let t = 4 - m. Suppose t*o - 2*o + 15 = -p, -3*o + 5*p = -5. What is the remainder when 28 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in seven eighths of a minute?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 16183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is (-64)\/80 - 30659\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -334 + 416. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 973, 972, 971?\n\"Answer: -v + 974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.22326 - -0.223274313. What is x rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that j**3 + 10*j**2 + 28*j + 24 = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69879 is divided by 208?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -306 - 1344 = 50*r. Sort 0, -4, 3, r in descending order.\nAnswer: 3, 0, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 324 = h, -3*h + i = 5*i - 971. Is 25 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1014 - -6363. List the prime factors of t.\nAnswer: 3, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1149 divide 904312407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 33490932 and 8?\nAnswer: 66981864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2755 and 950.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 300002 (base 4) to base 5\nAnswer: 44244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 166 + -133 + ((-2 - -2) + -2 - -3) - 0.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -227*u - 224 = -255*u. Let f(a) = a**3 - 7*a**2 - 8*a - 6. Give f(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - 1*2\/(-2). Suppose a*i + 24 = 6*i. Suppose g = -i*s + s + 134, -2*s + 3*g = -40. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 69\/140 and 89\/2221520?\nAnswer: 2221520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 3*m - 25. Suppose -b + m*b = 20. Solve 0 = b*t + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (286\/11 + -53 + 26)*(8 + -15 + 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 211420329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -2*p**2 - 16*p - 2. Let u(s) = 15*s**2 - 118*s - 23. Let i be u(8). Give q(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*z**2 - 111*z**2 + 2 - 2.\nAnswer: -130*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 267*m**3 + 16*m**2 - 18*m**2 - 10 + 241 - 48*m**3 wrt m?\nAnswer: 657*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(425))*-4.\nAnswer: -20*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*5*(sqrt(17) - ((sqrt(17) + sqrt(17)*-2 - sqrt(17)) + -5))*-3 + (5*(sqrt(17) - (-1 + sqrt(17))) + 5)**2 + (sqrt(170)\/(sqrt(240)\/sqrt(6)))**2.\nAnswer: -135*sqrt(17) - 483\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 1012 = 4*p + 1044, 2560 = 5*y - 3*p. What are the prime factors of y?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1341415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 4*y**3 + 7*y**2 - 3*y + 1. Suppose -14*g = 18*g + 64. Let f be i(g). Solve -14 + 2 = f*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 324922532.5 less than 0.4?\nAnswer: -324922532.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 584*z + 927*z - 222735 + 92789 = 0 for z.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1473648\/209)\/24*19. Which is the fourth biggest value?  (a) 3  (b) 2  (c) r  (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -220402 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-5) - (-48)\/20. Let r(z) = -z**2 + 3*z + 2. What is the lowest common multiple of 1 - 0 - (-14 - -13) and r(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.321 to 2 decimal places.\nAnswer: 6.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 135 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o - 2. Is g(-9) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 0 - (0 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 8*x - 5. Suppose 4*r - 2*r = 8. Let u be a(r). Suppose 5*l = 8 + u. What is the highest common divisor of l and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 73.102041 to 2 dps.\nAnswer: 73.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/1 + (-3)\/3. Suppose v - 4*v = -6*v. Are y and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of 0 + 3*t + 0*t**2 - 1\/2*t**3. Let w(c) = c**2. Give w(a(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1827380 by 46.\nAnswer: 913690\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 9 = -j + 13, 0 = 2*j + g - 35. Suppose -3*l + 12 = -4*m - 2, 4*l - 5*m - j = 0. Solve 0 = -2*b - 2, 0 = -k - l*b + 3 - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8370 and 10.\nAnswer: 8370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) 2  (c) -28  (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.2 + 0.2. Let r = q - 2. Suppose 8*u - 3*u = 0. Which is the nearest to u?  (a) r  (b) 2\/5  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the second derivative of 5*w**4\/12 - w**3\/3 - 7*w**2\/2 + 24*w. What is the units digit of g(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2 and 358.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the second derivative of -2*x**6\/15 + 8*x**5\/5 - 2*x**4 - 16*x**3\/3 + 14*x**2 - x - 753. Factor r(o).\nAnswer: -4*(o - 7)*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -99, -381, -851, -1509, -2355, -3389?\nAnswer: -4611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3*((-33)\/(-9) - 2). Let w = r + -3. Solve 4*z - s = 10, 0*z - 6 = -z + w*s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -32 in 0.1, -0.2, 3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 180 and 18828.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 308320 and 13160?\nAnswer: 2158240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.7483 + 6.72098.\nAnswer: 9.46928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*o**3 + 53253*o + 136160 wrt o.\nAnswer: 9*o**2 + 53253","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes before 8:55 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f + 4*m - 60, 0*m = -3*f - m + 105. Let j(q) = q**3 - 5*q**2 + 7*q - 8. Let o be j(5). Is (f\/o)\/(2\/(-3)) + 189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d. Let h(l) = -4*l - 27. Determine -h(r) - 2*o(r).\nAnswer: 2*r + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 5 - 2)*(-2*q + 0 + 0)*(2 - 2*q - 2)*(1 + q - 1).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 818 - 179*b - 818 in the form k + l*b and give l.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2299\/231 - (-1)\/3) + 6\/(-21). Sort 13, i, 0, 4 in decreasing order.\nAnswer: 13, i, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10 - 1. Let p = 13 + o. Let x be 2 + (-36)\/10 - -2. Which is the nearest to 1?  (a) x  (b) 3  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -541, -1223, -1905, -2587, -3269?\nAnswer: -3951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*t - 2*o - 22, 3*t - 128*o = -132*o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13355?\nAnswer: 5, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 1. Let s(z) = 2*z - 1. Give 3*d(l) + s(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -w + 759, -4*d + 1043 + 474 = w. List the prime factors of d.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*v + 4*f = 71*v - 6, 3 = 5*v - 4*f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 3*h - 6 = 0, 4*h - 17 = 87*i - 88*i. Solve -6*k + 3*k + 22 = 5*n, 0 = -5*k - i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1021212 - 2210?\nAnswer: 1012002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 2 h when four letters picked without replacement from zddzizhzdicczd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 292 is divided by 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3173811 - 2b?\nAnswer: 31737b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-36)\/(-890))\/((-89253)\/(-49585))\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 0.0067.\nAnswer: -1.9933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -2 + (23 - 12) + -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*z + 16*z - w = 4483, 5*w = -15. Calculate the lowest common multiple of 120 and z.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 6*y**3\/5 + 180078*y**2\/5 + 24383562*y\/5 + 23483322 = 0.\nAnswer: -29877, -131, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2245 = -14*n + 4069. What is the greatest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u + 5*u - 4*r = -2602, 2*r = -3*u + 3911. Let v = 4342 - u. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33169 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 623602 is divided by 47948.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 33 + 2237 + c - 99. Let n(u) = -2*u. What is n(r(f))?\nAnswer: -2*f - 4342","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20461, -41660, -62895, -84166, -105473, -126816, -148195?\nAnswer: -169610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 482583354?\nAnswer: 2, 3, 11, 1861, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-24)\/3)\/(-24))\/((-2)\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 471849 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: b\"What is the uth term of -273, -542, -817, -1098, -1385, -1678, -1977?\n\"Answer: -3*u**2 - 260*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 157144  (b) 0.1  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3 + -5)*4\/(-8). Sort 2\/15, t, -0.03.\nAnswer: -0.03, 2\/15, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 357670*p**5 - p**2 - 637*p - 193.\nAnswer: 7153400*p**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 6*z - 3. Let b be q(3). Let x be ((-66)\/(-12) + -6)\/((-2)\/76). Let i = x - b. What is the third smallest value in -0.4, i, 1\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 4  (b) -2\/3  (c) 0.038  (d) 0.02  (e) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (7 + -18 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 779849.\nAnswer: 7, 37, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15851 and 1089?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1441, 1440, 1439, 1438, 1437?\nAnswer: 1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -v - 7. Suppose -v*f - 36 = -3*f. Let s(c) = -c**3 - 9*c**2 + 11. What is the units digit of s(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2720431.\nAnswer: 7, 59, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 4*w - 6456 = 0, -5*w + 19368 = 37*x - 34*x. What are the prime factors of x?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 285 divide 646970520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -31*o + 28*o - 3*k + 15, 3*k = 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 1835914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 8987*j - 1815385. Calculate u(202).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) -4  (c) 5  (d) 44848\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -2\/3, 2\/7, 0.84, 5?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -i - 4*n + 14433, -4*i = n - 57725. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-33 + 11 + 10 - -1) + 3 + (-67 - -2).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from chcccccchchc. What is prob of sequence hc?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.7 - 3. Let f = 0.2 - n. Let k = 43\/2 - 20. Which is the second smallest value?  (a) k  (b) f  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(112)\/(1*sqrt(8)))\/(sqrt(84)\/(1*sqrt(12) + sqrt(12))))**2*2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l - 128 = 46. Solve -36*r**2 - 12*r**2 - 5*r**5 - 25*r**4 + 13*r**2 - l*r**3 - 16*r**3 - 10*r = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**3 + 13*w**2 + 33*w + 8. Let t be k(-2). Determine f, given that 28\/9*f - 196\/9 - 1\/9*f**t = 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 243 - 2671\/11. Let l = -0.04 - -0.44. Let m = -0.1 + 0.1. Which is the nearest to m?  (a) u  (b) l  (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -4*y + 165, -4*c - 185 = -4*y - 45. What is the least common multiple of 10 and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fuu when three letters picked without replacement from bggfuudw?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 20165 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 3*b**4\/8 + 9*b**3\/8 - 3*b**2\/4 - 9*b\/2 - 3 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/15, 2, 15612, -0.1, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -543*y + 13484080 = 113*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 13*w**2 + 4. Suppose -64 = -13*a + 14. Does 18 divide b(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.1  (b) 3  (c) -2962  (d) 2  (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of 5*y**7\/42 - y**5\/10 - 11*y**3\/6 + 48*y + 1. What is the second derivative of o(m) wrt m?\nAnswer: 100*m**3 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.011, 1, -1\/4, 5, 2\/11?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the first derivative of 44*z**5\/5 - 27*z - 38. Differentiate m(w) with respect to w.\nAnswer: 176*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 87*s**3 - 3123*s**2 + 2721*s + 315 = 0.\nAnswer: -3\/29, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(1452)*-5 - sqrt(1452))*5)\/(sqrt(576) + (sqrt(576) - (sqrt(576) - -4*(sqrt(576) - -2*sqrt(576)))) + (2*sqrt(576)*-2 - sqrt(576))))**2.\nAnswer: 9075\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (44 + -39 - (1 - -19 - 3)) + -10 + 2\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the second derivative of p**6\/120 - 39*p**5\/80 + 155*p**4\/16 - 1649*p**3\/24 + 867*p**2\/4 - 7085*p. Suppose d(h) = 0. What is h?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes before 4:41 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + 3*p - 49 = 0, 0 = -17*p + 14*p + 9 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (47\/328)\/((-16)\/(-64)) and 69\/16.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19 + -12 + 17 + -5 + -2 - -2\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*n + 58*n - 28 - 476 = 0. Which is the biggest value?  (a) -1  (b) n  (c) -4\/5  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(3600)*-2)\/(sqrt(12) + 2*sqrt(48)).\nAnswer: -4*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -2 + 1 - 2*s**2 + 2*s**3 - 2*s + s. Let l be (4\/1)\/(8\/16). Let j(w) = w**3 - 9*w**2 + 7*w + 10. Let b be j(l). Determine k(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 2*k + 12, 0 = 2*k - k + 2. Calculate the remainder when 22 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*c - 9 = 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(192)*-2)\/(-4*sqrt(24)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -3*a - 16. Suppose 0 = 4*f + 12 + 4. Let n be b(f). What is the fourth smallest value in -5, n, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7419.903 litres in millilitres?\nAnswer: 7419903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes after 7:24 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from zpppmmmpkmhzrr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 23912607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.72 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8) + 4)**2 + -3 + (1 + sqrt(2))**2.\nAnswer: 24 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - 6043*i = -6045*i + 66, 2*z = -4*i - 48 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15 - 11. Solve i*t + 5 = -11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4.5319 * -51.\nAnswer: 231.1269","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let v = 6596 + -6596. Let y(m) be the third derivative of -1\/24*m**4 - 4\/3*m**3 - 34*m**2 + 0*m + v. What is y(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 21309*x + 35194?\nAnswer: 21309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1510, 1753, 1982, 2191, 2374, 2525, 2638?\n\"Answer: -r**3 - r**2 + 253*r + 1259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 847830 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -2*w**2 + 11*w + 1. Let o = 29 + -23. Let h be -5*(-8)\/50*15\/o. Let c(b) = -133*b + 138*b - 2*b**h + b**2. What is -5*c(z) + 2*f(z)?\nAnswer: z**2 - 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -203, -96, 163, 640, 1401, 2512, 4039?\n\"Answer: 11*l**3 + 10*l**2 - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**3 + 266 - 468 + 206. Let v be 2*-2*(-3)\/(-12). Let h(l) = -1. Determine v*c(r) - 4*h(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 48 and 60.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**2 + 7*s + 7. Let t(a) = 4*a + 2. Let b be t(-2). Let i be g(b). Let y be (-24)\/13 + 2\/i. Is y less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 4*u - i, 4*u + 8 = -9*i + 4*i. Solve 2*a + u + 5 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 293173\/30 - 9770. Find the common denominator of 7\/3090 and p.\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/2, 3\/2, -1137.4, 3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are -2379148 and -16654045\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3498 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**2 + k + 4. Let v(g) = -2*g**2 + 4*g + 12. Let n(y) = -11*r(y) + 4*v(y). List the prime factors of n(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 80076?\nAnswer: 2, 3, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 1 + 4 + (2 + 0 - 3)*(0 - 1 + 3))*(3 + 1 - 2) - 7 + 3 - 20)*(2 - x - 2).\nAnswer: 22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**3 + 14*l**2 + 12*l + 9. What is z(-13)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1592414.\nAnswer: 2, 709, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*r - 5. Let u(d) be the second derivative of d + 0*d**2 + 1\/3*d**3 + 0 + 1\/3*d**4. Let c(p) = 5*p**2 + 2*p. Determine r*c(l) + 4*u(l).\nAnswer: l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than 22\/527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9230 - -12779. Calculate the smallest common multiple of 819 and r.\nAnswer: 10647","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1562 (base 9) in base 12?\nAnswer: -832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1118 a factor of 14927657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -2*h**2. Let j(b) = -5*b**2 - 3. Let t = -15 - -24. Let n(p) = 1 - t*p**2 - 3 - 3. Let r(m) = -5*j(m) + 3*n(m). Calculate r(a(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 8 = 4*v, -4*o - 4*v - 24 = -9*o. Suppose 201 = 3*h + 3*t - 534, 12 = -o*t. Find the second derivative of 3*r + 248*r**3 - 23*r**4 - h*r**3 wrt r.\nAnswer: -276*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 178649069?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59 = -3*h - 4*y, h - 16 - 11 = -5*y. Suppose 0*c - 5*c + 70 = 0. Let o = 3 + c. What is the greatest common divisor of h and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1698, 9.3, -3, 2, -1\/4, 1 in descending order.\nAnswer: 1698, 9.3, 2, 1, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k**2 - 74*k - 1176 = 0. Calculate k.\nAnswer: -12, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 - -134?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 626*j**2 + 626*j**2 - 143*j**3 in the form i*j + r*j**3 + f*j**2 + b and give r.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 0 + 42\/(-15) + (-27)\/(-315)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2475162 (base 8) in base 14?\nAnswer: 13c386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1154 + -2?\nAnswer: -1156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**3 - 5*b**2 - 18*b + 5. Calculate q(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the second derivative of l**3\/6 + 11*l**2 - 5*l. Suppose 3*x + 19 = -8. What is the units digit of o(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 48\/(-30)) + 2752\/7280?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 - -14. Find the third derivative of 3*a + 4*a**3 + a**2 - 3*a + a**x wrt a.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:17 AM and 5:43 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 35144 greater than or equal to 35161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 5*i = 1402, 44*m - 47*m + 1386 = -3*i. What is the greatest common factor of 9628 and m?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 2 - 2 = -b, 5*s = 0. Suppose 0*q + 3*i = 4*q - 14, -b*q + i + 10 = 0. Calculate the smallest common multiple of 2 - (5 - -4 - 19) and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-35*24\/75096)\/(5\/(-12)*-2)?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 4*r**3 - 9*r**2 + 8*r - 23. Let j(c) = 5*c**3 - 10*c**2 + 7*c - 23. Let s(b) = -5*j(b) + 6*u(b). List the prime factors of s(-11).\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 470968291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 21423991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15 - -14)*(19\/(-513)*0 + 121)?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 3, m: 6, e: 2, f: 2}. Give prob of picking 3 t and 1 m.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 552, 1105, 1658, 2211, 2764?\nAnswer: 3317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 15.9, -1\/5, 3, 15, -1\/4, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 + 1. Let o(c) = -2*c**2 + 2*c - 4. Let q(k) = 12*j(k) + 4*o(k). Let y(u) be the first derivative of q(u). Differentiate y(d) with respect to d.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -16764 smaller than -16767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 + 13\/2)*(-10 - -4). Let c = h - -62. Calculate the remainder when 243 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -210 divided by 3?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, a: 4, x: 1, g: 1, f: 4}. Give prob of sequence mf.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -6*n**2. Let u(x) = 858220*x**2 - 56440*x. Let l(t) = 1826*t**2 - 120*t. Let g(c) = -2822*l(c) + 6*u(c). Determine g(z(f)).\nAnswer: -131472*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1752 or -1765?\nAnswer: -1752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3489, 7071, 10657, 14247, 17841, 21439, 25041?\n\"Answer: 2*m**2 + 3576*m - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 799 is divided by 133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -74 - -73.41. Let t = 0.02 - -0.67. Let l = t + y. What is the nearest to 2\/5 in -2, -2\/19, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.34 + -0.1. Let q = -0.3 - i. Which is the nearest to -1\/2?  (a) -4  (b) q  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:10 AM and 12:28 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 357 a factor of 594411426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 362 - -367. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/517?  (a) 2\/7  (b) -7  (c) 1  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*o - 14*o + x + 2 = 0, -4 = -2*x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2572766 is divided by 387.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 167909 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2795268 and 903294.\nAnswer: 4494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/392 and -11\/40.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 5*k - 4*t, -3*k - 3*t - 4 = -28. Let z be (3 - k) + -3 + (-156)\/(-30). Factor 9\/5*o**3 + 3\/5*o**4 + 0*o + 0 + z*o**2.\nAnswer: 3*o**2*(o + 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/48 and 155\/222.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 310037.\nAnswer: 7, 13, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25864128.\nAnswer: 2, 3, 83, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -89284 divided by 9?\nAnswer: -89284\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 145058554 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: List the prime factors of 204794.\nAnswer: 2, 102397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -2*x + 107. Let y be h(-13). Suppose 1253 - y = 7*q. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 4*k**2 - 33*k - 171. Determine d(-5).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 910.6 + -911. Let z = 34\/11 + -149\/66. Which is the second smallest value?  (a) z  (b) m  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 0*o = 3, -2*r + 43 = -5*o. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 4 = -2*t, -4 = 2*t - 4*t. Solve 2*m - 22 + 14 = k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1232.2 - 1231. Which is the second smallest value?  (a) 1  (b) -24  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-25)\/(-100) + 51\/4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-2 + sqrt(26)\/sqrt(2) + 1) + ((sqrt(117) + -3*sqrt(117) + sqrt(117))\/sqrt(9) + sqrt(13)*4 + 1)**2.\nAnswer: 12*sqrt(13) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-75)\/2*(-16)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.68 take away 30.77?\nAnswer: -31.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the second derivative of -7*j**6\/30 - 23*j**3\/6 - 32*j. What is the second derivative of g(o) wrt o?\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 483214957.\nAnswer: 1667, 289871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - 140 = 5*m + 5*x, x + 109 = -4*m. Let y(p) = p**3 - 6*p**2 + p - 12. Let b be y(7). Let j = m + b. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 AM and 4:18 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z. Let i(p) = p - 902621. What is i(j(a))?\nAnswer: a - 902621","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the third derivative of -2*f**7\/105 + f**4\/8 + 2*f**2. What is the second derivative of o(d) wrt d?\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r and 1 t when four letters picked without replacement from ritritrtrrriittr.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 5160*q**3 - 80*q**2 + 80*q + 80. Let d(j) = 397*j**3 - 6*j**2 + 6*j + 6. Give -40*d(g) + 3*n(g).\nAnswer: -400*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(425)*-2*6 + sqrt(425).\nAnswer: -55*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*x + 267*x**4 - 2*x - 193*x**2 + 196*x**2 wrt x.\nAnswer: 6408*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 19*q**3 + 24*q**2 + 2*q - 16. Is z(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6248054, 6248046, 6248038, 6248030, 6248022?\nAnswer: 6248014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 179\/1061760 and 123\/188020.\nAnswer: 18049920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + k - 28 = 0. Suppose -4*p - 8 = 0, -1 - 3 = -o + 3*p. Let y = o + k. Solve -4*r + y - 4 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 707.8 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.5?  (a) -3  (b) -0.1  (c) 99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -g**2\/3 + 2715*g - 5389098 = 0.\nAnswer: 3426, 4719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 4a6 (base 15) to base 16\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k - 0*k + 4. Let q(z) = 2*z**3 - 2*z**2 + z. Let x be q(k). Let y = -5 + x. Solve -5*i + 20 = -c, y + 11 = 4*i for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45969 is divided by 1149.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 12762 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r + 7. Let l be m(-5). Suppose 0 = -l*p + 5*p. Suppose -11*d + 7*d + 232 = p. What are the prime factors of d?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**5 - 28*z**4 - 50*z**3 - 24*z**2.\nAnswer: -2*z**2*(z + 1)**2*(z + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2616 divided by 2?\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*i + 43*i = -72 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 39 = -2*f. What is the remainder when ((-96)\/(-480))\/(4\/3080) is divided by f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 108680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -225 (base 10) to base 9.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 480 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9.842 - 2.036. Round d to one decimal place.\nAnswer: -11.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 + 5*m + 6. Let i be x(7). Let t(o) be the third derivative of -o**4\/12 + 3*o**3\/2 + 2*o**2. Is t(i) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91797 rounded to the nearest one thousand?\nAnswer: 92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011 - 110?\nAnswer: -10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 3*f**3 - 4*f**2 + 3*f + 2. Let o be (234\/(-273))\/(3\/14) + 2. Let q(r) = -16*r**3 + 21*r**2 - 15*r - 11. Calculate o*q(d) - 11*n(d).\nAnswer: -d**3 + 2*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.229 - -0.781. Let u = f - -0.84. Round u to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = 2*v + 4, 35392 = -4*y - 4*v. Let j = -5800 - y. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 207941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 431505*s - 431651*s - 11680 = 0 for s.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 17707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -34*v**3 - v**2 - 4*v - 3. Is 7 a factor of f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 3 + 0)*(4 - 1 - 4 + (0 - 5 + 3)*(-5 + 5 + 1) + 2 - 2 + 1)*(2*i + 3 - 3).\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 5 + 13 = 0. Suppose 28*n = 34*n - 102. Is z <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 962898666?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 21\/5 of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d - 6. Suppose 4*r = -0*r + 3*x + 44, r + 5*x + 12 = 0. What is the least common multiple of i(r) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -l**4 - l**3 - 1 + 6 - 2 + 2*l + 2*l**4 + 9*l**4 in the form v*l**3 + h*l**4 + j*l + f*l**2 + z and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the third derivative of -y**4\/24 + y**3\/6 - 161*y**2 + 2. Let s(r) = 16*r - 1. Calculate m(p) + s(p).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 4244656 to the power of 1\/2, to the nearest integer?\nAnswer: 2060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 - 2. Let z = 37 - 23. Let l(c) = 8*c - 4. Let b be l(2). Solve -t*g - 5*f = -3*f - z, b = -4*f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes before 1:52 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 2 = d, 0 = 371*d - 373*d - 2*n - 12. Let l = 0 - -3. Suppose 0 = -0*z + l*z - 12. Sort d, z, 2.\nAnswer: d, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 187 divide 74267611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -241*w**5\/2 - 1806*w**4 + 12577*w**3\/2 - 4416*w**2 + 54*w = 0. What is w?\nAnswer: -18, 0, 3\/241, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, k: 2, h: 4}. Give prob of picking 2 h and 1 g.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 819295 is divided by 91021?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 416 and 114002512?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 6623.797ml?\nAnswer: 6.623797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/6 and -44\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -773312 = -30*p - 256112. Suppose x + p = 2*t, 0 = 4*x - 0*x - 8. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**0)**(-4\/5)*(w*w**(-2\/3)\/w)**(-49)*(w**(1\/3))**(-45)\/(((w\/(w*w**(2\/5)))\/w)\/(w\/w**4)) assuming w is positive.\nAnswer: w**(241\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 2*f + 16. Let h be r(-11). Let i = -7 + 0. Let t = h - i. Solve -n = t - 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*t**2 + 0*t**2 - 1036450361453*t + 1036450361454*t + 91*t**3.\nAnswer: 91*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 - (0 + 6 + -3). Sort u, 3, 4.\nAnswer: u, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 209108 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, h: 2, s: 4}. What is prob of sequence zzsz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-28)\/350 + (24\/(-50))\/(-6). Solve 3*x + 3*o - 3 = w, x - 3*o + 19 = -4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 3*w + 6 = 0, -3*g + 2*w = 6*w - 27. Suppose -g*l = -19 + 4. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes after 5:53 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-6)\/a*a)\/(a**(-5)*a) assuming a is positive.\nAnswer: a**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(85) + sqrt(85)*-2)*1*1)\/(2*sqrt(20)*6 + sqrt(20) + (sqrt(200)*-2 + sqrt(200))\/sqrt(10)).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1305 - -2192. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/7*i**3 - 2\/7 + 2\/7*i + 2\/7*i**2.\nAnswer: -2*(i - 1)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -189 divided by -21?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-376)\/4)\/(36\/9 + -1 + -9).\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(1100) + 3 + sqrt(99) + -3 + -5.\nAnswer: -5 + 23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -35 - -46. Let y = -7 + 22. Suppose -g*s**3 + 178 + s**3 - y*s**2 - 178 + 5*s**4 = 0. What is s?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 7:01 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -142 + 164 + -25 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 - 11. Let h(n) = 296*n**2 + 2*n - 63. What is h(q) - 5*z(q)?\nAnswer: 291*q**2 + 2*q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*y + 8*y = -118. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 5*x**3 - 30*x**2 + 1. Let i(y) = 9*y**3 - 63*y**2 + 3. Calculate -4*i(f) + 7*m(f).\nAnswer: -f**3 + 42*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1070753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v - v - v)*(-v + 2*v + 0*v) + 0 - 2*v**2 + 0 + v**2 - 4*v**2 + v**2 - v + v + v**2 - 1748*v**2 + 301*v**2 + 120*v**2.\nAnswer: -1329*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 3*f - 145. What is the second derivative of f*x - 11*x**5 - 90*x + 18*x**5 - 8*x**2 wrt x?\nAnswer: 140*x**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*o + 0*o**3 - 9*o - 8*o**3 wrt o.\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3936\/(-128)*(-60)\/9. What is the nearest to 2 in 3, v, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -187 (base 11) to base 3\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 133*u**2 + u - 24653?\nAnswer: 266*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/5*n**4 - 9\/5*n + 0 - 7\/5*n**3 - 3*n**2.\nAnswer: -n*(n + 1)*(n + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5624500?\nAnswer: 2, 5, 7, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 13) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -620 divided by -310.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 241*n - 870*n - 477*n.\nAnswer: -1106*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + 30312?\nAnswer: 30320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 2 + 8)*(-w + 0*w + 1 + 6*w)*(4*w**2 + 0*w**2 - w**2) - 3*w**3 + 10 - 10 in the form c + v*w**3 + d*w + i*w**2 and give v.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 23*w - 4. Let o be b(1). Let h = 21 - o. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*x = -31*x + 2*m - 18, -24 = 4*x - 5*m. Which is the closest to 4?  (a) 0.4  (b) x  (c) -2  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 - (-1 - 0 - -2). Let c be 18 + 0 + (-4 - k). Suppose j = 3*g + c, 3*j + 5*g + 50 = 8*j. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -208*k**2 - 4 + 2*k + 13 - 1 - 5 + 43*k**2.\nAnswer: -165*k**2 + 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**3 + 2*l**2 + 45*l - 146. Let v be g(4). Solve 0 = 3*p + v*t + 4 - 3, 3*t + 8 = 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -32*f + 34*f + 158*f to m*f + k and give m.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10853843 is divided by 676?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.06 and -307.3.\nAnswer: 18.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i + 2 + 4. Let v(t) = t**3 + 2*t + 13*t**2 + 7 - i*t**3 - 20*t**2. What is v(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19425421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide (1656\/21)\/((-68)\/14 - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, a: 7, l: 7, q: 1}. What is prob of sequence aaq?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of (-2518)\/(-4) - (-4 + 70\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**3 - 4*i**2 - i + 4. Let t be q(4). Suppose 2*l + 2*d - 3 = -1, 2*l - d - 11 = t. Solve 6*m - l*m = 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4851?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 16 - (27 - (54 - (59 + -40))).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.633395 years in months?\nAnswer: 79.60074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + g + 1 = 0, 0*v + 5*v = g + 2. Let z be ((-2)\/v)\/(-1) + -258. Let c be -3*(2 + z\/(-6)). Round c to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 345671995.\nAnswer: 5, 89, 101, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-392)\/28*(-5)\/10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7309 - 4363. What are the prime factors of j?\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -275*s - 1560 = 3241 - 401 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 88447375 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 35159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**2 - h + 1. Let s(n) = 18*n**4 + 2*n**2 - 4*n + 4. Let g(w) = -4*l(w) + s(w). Find the third derivative of g(t) wrt t.\nAnswer: 432*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**2 - 9*q - 6. Let a be i(-7). Let x(k) = k**2 - 8*k + 5. Let l be x(a). Let n = -5 + 40. What is the greatest common factor of l and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1.8, 3.7, -3\/5, -2\/3?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -75309 take away 5?\nAnswer: -75314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1 + 14272077083.698.\nAnswer: 14272077083.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -23 - -90. Suppose -3*g - w = -5*g + f, -3*g + 3*f = -96. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 27 = -w, p = 2*w + w - 31. Let z(d) = 4 + 14*d + 10 - 4 - 3 + d**2. Is z(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * -0.063233.\nAnswer: -0.189699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 13*y**2 + 665*y - 242. What is the thousands digit of w(34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 52\/3 or 31034?\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 384424 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -65 by 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**2 - o + 10. Let w(u) = -13*u**2 + 31*u - 10. Let t(c) = -q(c) - w(c). Let h(b) = 5*b**2 - 10*b. Determine 17*h(r) - 6*t(r).\nAnswer: r**2 + 10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + t = -2*c + 308, 4*c = -16. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from uuuupuuuuuupuuppuu.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20569*o**2 - 61712*o**2 - 7 + 20580*o**2 + 20590*o**2 + 7.\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 119714?\nAnswer: 2, 7, 17, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -45?  (a) -1\/3  (b) 2\/11  (c) -12  (d) 6.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -38*i + 2. Let f be q(-2). Let c = 339\/2 + -3005\/18. Calculate the common denominator of c and (3 - 1)*f\/32.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h - 2*l + 146 = -2*h, 2*h - 47 = 3*l. Calculate the remainder when 49 is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 8*c**4 - 11*c**2 - 5*c. Let a(n) = -4*n**4 + 5*n**2 + 2*n. Let b(j) = -5*a(j) - 2*v(j). Find the third derivative of b(p) wrt p.\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/9  (b) 65  (c) -3  (d) 324  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1254 (base 10) in base 8?\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 955762 and 3328868.\nAnswer: 4284630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2038880228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of -73.7 and 42082.6.\nAnswer: -3101487.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 11683.16207 to the nearest integer.\nAnswer: 11683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -29574.169 rounded to the nearest ten?\nAnswer: -29570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 4*w + 16 = 0. Let x(h) = 11*h**2 - 24*h**w - 14*h**2 - 18*h**2. Let f(v) = v**2. Determine x(f(m)).\nAnswer: -45*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3 - 2)*(-6)\/(-3). Let d(j) = -3*j + 7. Is d(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2 and 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 12, z: 3}. What is prob of picking 1 z and 3 u?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 80 and 1080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 2*x. Let v(u) = -935*u**2. Give i(v(l)).\nAnswer: -1870*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -7 + 4 + 3 - 8*d. Let c(w) = -13*w + 5*w - 5*w - 5*w. Determine f(c(q)).\nAnswer: 144*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 7713*r**2. Let h(v) = -24*v**2. Determine d(h(g)).\nAnswer: 4442688*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-90)\/260*(-32)\/(-72)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 - (-1 + 3 - 8). Let t be (g\/6)\/((-20)\/(-6)). Let v = -4.35 + 4.15. What is the nearest to 2\/5 in t, v, -1\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -17*r + 17. Let l(b) = -4*b + 4. Suppose 1 = -3*j + 43. Let s be (-4)\/j - 1080\/42. Give s*l(o) + 6*z(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 0*s + 2*s - 4*s. Let x = 34 - 32. Let n(t) = -28*t + 7. Let k(w) = 9*w - 2. Let z(l) = x*n(l) + 7*k(l). What is v(z(u))?\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, j: 2, x: 1, a: 2, z: 1}. Give prob of sequence akx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - ((8 - 5) + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*r**2 + 1934848*r + 644948.\nAnswer: 4*(r + 161237)*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (23 - 18) + 239\/(-48). Suppose -5*h - 10 = 0, -4*t + h + 8 = -2*t. Suppose 3*g - 5 = -t*n - 2, 5*g = 3*n - 3. Which is smaller: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = 4*m + 6 - 23, m - 5*p = 17 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 180 and 694300?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from bii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 3*m + 5. Let y be 0\/(-6*(-4)\/(-8)). Suppose y = -n - n - 8. What is d(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes before 1:20 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -8949 - -8394?\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*r + 35*r + 21*r - 118*r.\nAnswer: -29*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4275677kg in micrograms?\nAnswer: 427567700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**4*a*a*a**(2\/9)*a)**(-24)\/(a**7\/a**(-5)*(a\/((a**2*a)\/a)*a)**(1\/10)) assuming a is positive.\nAnswer: a**(-556\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 30 = -7*f. Suppose -y - i + 2*i + f = 0, y = -5*i + 11. Let p(s) = s**2 - s + 4. Calculate the smallest common multiple of p(3) and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -40*i + 32. Let f be s(-6). Let z = f - 109. What are the prime factors of z?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 117*g**3*x + g**2 + g*x - 4*x - 2 wrt g?\nAnswer: 351*g**2*x + 2*g + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.629 + -132.629. Is l > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 617955, 1235902, 1853849, 2471796, 3089743?\nAnswer: 3707690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -18 - -1 - (-117 + (3 - (-29 - -3)))\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 111142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 93 + 150 = 0. What is the highest common divisor of 38 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, m: 2, y: 6, c: 2}. What is prob of sequence ymm?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 - 9*f**2 - f - 8. Determine w(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -13 + 24 + 2*q**2 - 11. Let b(i) = -i + 9 + 6 - 15. Calculate b(d(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l = -5*c + 15, 0*l - l + c - 7 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes before 2:01 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/9 - 3\/((-468)\/80).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (28 + 22 + 35)*(6 - 3 - 2)*(-2*r - 3 + 3) to the form i*r + v and give i.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 3*z = 138, -3*i + 76 = -i - 2*z. Let u be (-448)\/i*(-18)\/8. What is the second derivative of 6*c**4 + 10*c**4 + 12*c - u*c wrt c?\nAnswer: 192*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three sixteenths of a minute in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 29, 38, 33, 8, -43, -126, -247?\n\"Answer: -t**3 - t**2 + 19*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*h + 238337 = 41597. What is the highest common divisor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 51 and -3.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -5\/2  (b) -79.52  (c) 1\/46  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - 2.3. Which is the closest to 0?  (a) 5  (b) 2\/17  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.76*78519.\nAnswer: -138193.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes after 6:46 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0046296 rounded to 5 dps?\nAnswer: 0.00463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 712533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 25 and 1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-15264)\/(-18) - (-17 - -12 - (-1 - -3)). Solve -904 = 7*g - u for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -779*u**3 - 16*u**2 + 6*u. Let w(p) = -4*p**3 - 2*p**2 + p. What is -k(t) + 6*w(t)?\nAnswer: 755*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3*(3 + -2) - -1. Let j be (2 + 2)*(-1)\/o. Factor x**3 + 0*x + 2*x - x**5 - j*x.\nAnswer: -x**3*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4677 + 4702. Let i = -224 - -397. What is the remainder when i is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**2 + 8*p - 1. What is the lowest common multiple of 10 and d(7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c + 7. Let n be f(5). Let o be ((-2)\/(-1) - n)\/(-1). Which is smaller: 3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97 a factor of 26206251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/22814 and 7\/48.\nAnswer: 547536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.04 times 3.02\nAnswer: 0.1208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) 2\/3  (c) 3  (d) 11\/2  (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(-2\/3))**(1\/6)*(q**(-6\/7)*q)\/q**(-5) assuming q is positive.\nAnswer: q**(655\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**3 + 2*v**2 + 4*v - 3. Let k be x(3). Suppose -8*y - y + 9 = k. Let j = -40\/9 + 1631\/369. Is y >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) -2\/11  (b) -3  (c) -1  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -86 + 146. What is the highest common divisor of 24 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 2*t + 18 = -158, 0 = -3*v + t - 99. Suppose 2*o = 10*o + 144. Let f = o - v. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 341, 1272, 2815, 4964, 7713?\n\"Answer: -j**3 + 312*j**2 + 2*j + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 18 - q**2 + 7*q**2 + 6*q**2 - q - 2*q**2 - 8 in the form m + o*q**2 + t*q and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 - -1 - 12\/(-4). Suppose 3*q + 7*u = 3*u + 374, -3*u + 501 = 4*q. Factor -6*c**d - 6*c**3 + 3 + 75*c**2 - q*c + 24.\nAnswer: -3*(c - 3)**2*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/13, -2\/5, -311, -1\/3.\nAnswer: -311, -2\/5, -1\/3, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -14329 or -14334?\nAnswer: -14329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mxm when three letters picked without replacement from wwmwxmgmgwggg?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/30 and 37\/3476430?\nAnswer: 3476430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1159695432?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7930, -7698, -7308, -6754, -6030, -5130, -4048, -2778?\nAnswer: -1314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 28616 divided by -392\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 484 = -7*t. Calculate the remainder when t is divided by (0 - -1)\/((-4)\/(-100)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(-4) + 10652\/176. Let l be (-1839)\/33 + (-3 + 5)\/(-2). Let u = l + f. Find the common denominator of u and 145\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/(1 - 3)*-4. Suppose a - 8 = -4*j - 4, 4*a - 3*j = 16. Solve a*m + o = 6*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28408, -28408, -28418, -28444, -28492, -28568, -28678, -28828?\nAnswer: -29024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 19 = -p, 0 = 4*g + 3*p + 3 - 30 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 10 + 17 = 0. Let a be (-3)\/9*-2*(h + -1). Suppose 0 = 2*o - 8 + a. Solve -2*n + 10 = -4*m - 3*n, o = -5*m + 4*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from uczizuz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = 2*w + 4*g + 3, 13 = -3*w + 2*g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16\/(-528)*-527367 + 6\/33?\nAnswer: 3, 7, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than or equal to 2\/74563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -190.2145998 to two decimal places.\nAnswer: -190.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(88\/(-1232)*-4*6\/12*-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84445161?\nAnswer: 3, 28148387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 7 = q. Let l(d) = -2*d - 5. List the prime factors of l(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11 - 3. Let n be v\/(-1*(-2)\/21). Let j be (20\/25)\/((-2)\/(-30)). What is the greatest common factor of n and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2 - 170\/(-75))*6. Factor 0 + m*k**4 - 2\/5*k**5 + 8\/5*k**2 - 2\/5*k - 12\/5*k**3.\nAnswer: -2*k*(k - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxxxnxnxxx. Give prob of sequence xxnx.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hxlxhhyhxxxlxxxxlyhx. What is prob of sequence hxxx?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 115 - -3?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -2*g**3 + 121*g**2 - 59*g. Calculate o(60).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110010111000100100011001000 - -100?\nAnswer: -110010111000100100011000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11828359*d**3 + 95049069*d**2?\nAnswer: 70970154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/6*(-219 + 180) + 9?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of -q**4\/12 + 2*q**3\/3 + q**2\/2 - 3*q - 1. Let n(i) be the first derivative of a(i). Determine n(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -62 divided by -19815.\nAnswer: 62\/19815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 178 + -173. Suppose 4*m + k*h = -293, 5*m + 3*h = -101 - 249. Are m and -66 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1252*r**3*w + 33*r**3 - 5*r**2*w - r**2 - 170540*r*w + r + 2*w - 1 wrt r?\nAnswer: 7512*r*w + 198*r - 10*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -7997.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 125557, 125555, 125553?\nAnswer: 125551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 700025675 by -1.\nAnswer: -700025675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/(-10))\/((-742152)\/(-141610) - (-4)\/(-98)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 31, 213, 707, 1669, 3255, 5621, 8923, 13317?\nAnswer: 18959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 299104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -2*z**2 + 2*z + 3. Let f(q) = 4*q + 589*q**2 + 1 - 593*q**2 + 6. Give -4*f(m) + 9*r(m).\nAnswer: -2*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*y + 6 = 17*y - 3*k, 0 = -4*y - 3*k - 6. Solve -14*v - 24 + 80 = y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/1026 and -22\/421011.\nAnswer: 15998418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes before 5:40 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + -7 + -1 + (2 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13991*n**2 - 6012*n**2 + 14962*n**2.\nAnswer: 22941*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/5, 3, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 19 = -v - 4*x, 0 = 2*v - 2*x - 26. Let m = -4 + v. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1062*c**2 + 9 + 33*c**3 - 2118*c**2 - 12*c - 13*c + 1065*c**2 wrt c.\nAnswer: 198*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-18)\/(-8))\/(6\/4). Let i = 0.65 - -2.35. Put 0.4, f, i in decreasing order.\nAnswer: i, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -565, -551, -509, -427, -293, -95, 179?\nAnswer: 541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 21\/8560 and 27\/1420.\nAnswer: 607760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/9?  (a) -194  (b) -4  (c) -1\/2  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.89  (b) 5  (c) 1\/15  (d) 83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:24 PM and 8:08 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 683 = -4*i - 857. Let d = -385 - i. Solve 0 = -l + 5 - d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10210102101 (base 3) to base 8\nAnswer: -221651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40 is divided by 8\/(-4)*(-75)\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -5, 787 in descending order.\nAnswer: 787, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2*18\/405)\/(1768\/204)?\nAnswer: -2\/195","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3085\/2 - (-4)\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 146, 181, 214, 245, 274, 301, 326?\n\"Answer: -w**2 + 38*w + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -29 + 29. Let c(j) be the second derivative of 0 + 0*j**5 - 1\/30*j**6 + 5\/12*j**4 + 4*j + h*j**3 + 0*j**2. Find the third derivative of c(w) wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 9) to base 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 17*m**5 + 12*m - 3*m**5 + 2*m - 111*m wrt m.\nAnswer: 280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -231101021 + 1013?\nAnswer: -231100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**2 - 21*s - 43. Let z be n(23). Suppose -u - u = -20. Suppose -u = -r - 5*h, -h + z*h + 8 = 2*r. What is the highest common factor of 25 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -72816363*a**3 + 3*a**2 - 1640*a - 11.\nAnswer: -436898178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14 and 67347.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 98\/42 + ((-56)\/231 - 2). What is the nearest to 0 in -4, 1.2, -2\/9, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 648 - 639. Sort 12, v, 2 in increasing order.\nAnswer: 2, v, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 12:25 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 3*u = 5*r - 5999, -3*r - u + 4496 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i. Let v = -8 - -4. Let b = -6 - v. Let f be u(b). Solve 0 = 7*r - f*r + 3*d - 13, 0 = -4*d - 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 2*w**3 - 10*w**2 - 23*w - 10. Let u be j(9). Let p = -431 + u. Solve p = 2*r - 3 - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m**2 - 3*m**2 + 2*m**2)*(0 + 0 - 90585*m + 98650*m).\nAnswer: 8065*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the first derivative of d**6\/300 - 8*d**5\/75 + 16*d**4\/15 + 121*d**2 + 299. Let o(p) be the second derivative of w(p). Factor o(k).\nAnswer: 2*k*(k - 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = k - 17, 16 = -3*z + 4*k + 8. Suppose i + z*d - 2*d = 6, 5*i - 3*d = 69. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**3 - 1. Let m be g(2). Let s be m\/(-21)*2\/6. Let j be 2*(-1 - -2) - 2. What is the biggest value in j, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12 + 11\/1)\/((-9)\/153)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 13\/3884, -1\/6, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**2 - 1. Let q(r) = 2*r**2. What is -7*q(g) - 6*w(g)?\nAnswer: -8*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 40 = -5*u + 152, 5*u + 2*j - 108 = 0. Suppose 8*s - 12*s = -8. Suppose 10 = s*a - u. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18955522690 plus -537.6?\nAnswer: 18955522152.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2285 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = -5*g - 49*t + 48*t, 30 = 2*g - 2*t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 3*t - 30. Let i be k(10). Suppose i = -15*p + 277 + 1073. Calculate the highest common factor of 75 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 - p**2 - p - 2. Let y be w(-2). Put 5, -4, y in ascending order.\nAnswer: -4, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 3*b = u - 5, 2*u - 16 = -4*b. Suppose -6*g + 20 = -u*g. Calculate the lowest common multiple of (1 + 0)\/((-2)\/(-20)) and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4144 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 855089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11279.\nAnswer: 11279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -26*q**3 + 25*q**3 + q - 3 + 1 to the form f*q**3 + v + y*q**2 + j*q and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a. Let h(x) = 336 - 21*x - 336. Give h(v(j)).\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14 and 1071770?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 30264, 53739, 77214, 100689?\nAnswer: 124164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 58\/5 + (-8)\/(-20). Suppose x = -3*x + y. Solve p = -x*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*a = -72 + 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**2 - 13*g - 9. Let k be c(-11). Suppose -k*x + 15*x = 38. Let y = 47 - x. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33544 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7*r**3*t**2 - 3*r**3 + 2*r**2 + 1174*r*t - 2*r - 7*t**2 - 7200 with respect to t.\nAnswer: 14*r**3*t + 1174*r - 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 3 = p, p - 4*p - d = -7. Solve 0 = a - p*a - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 31*n**2. Let t(z) = z + 9. What is t(c(k))?\nAnswer: 31*k**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the first derivative of f**6\/270 - f**5\/90 + f**4\/108 - 5*f - 55. Let i(y) be the first derivative of l(y). Solve i(p) = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes before 6:01 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/1*(4 + -1). Let c(b) = -3*b - 4. Let a(j) = -2*j - 3. Let d(x) = t*c(x) + 4*a(x). Let v(z) = -4*z. What is d(v(s))?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, y: 1, g: 1}. What is prob of sequence yjj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 50707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mvmzmaakvaaakvh. What is prob of sequence vk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 51?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 126467.53 rounded to the nearest 1000?\nAnswer: 126000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -36*j - 6. Let h = -11 - -8. What are the prime factors of w(h)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.05, 1834, 7, 3, 10, -2 in decreasing order.\nAnswer: 1834, 10, 7, 3, -0.05, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + (-1 - -81) + 25 + (0 - (6 + -10))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -6, -18, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -8*v**2. Let r(i) = -35*i - 29*i + 66*i + 9*i**2. Calculate t(r(h)).\nAnswer: -648*h**4 - 288*h**3 - 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 32*a**2 - 3*a - 1. Suppose 1540 = -3*n + 5*w + 1582, -w - 8 = -n. Determine b(n).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 294*q - 2*q**3 - 148*q - 148*q + 96 in the form p*q**3 + v*q**2 + f + l*q and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 151000, 151002, 151008, 151018, 151032, 151050, 151072?\n\"Answer: 2*g**2 - 4*g + 151002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-4))\/(-1 + (-2)\/(-6)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 + 8*p**2 + p + 6. Let k be w(-8). Let g be (2\/(-3))\/(1\/(-3)). Let b be 16\/(-12)*(g - -1). Sort b, -1, k in increasing order.\nAnswer: b, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l**3 - 2*l**2 + 2*l**2)*(34 + 28 - 21).\nAnswer: 82*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34062?\nAnswer: 2, 3, 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 605 + 4*w**2 + 13*w**2 - 630 - 15*w**2.\nAnswer: 2*w**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*q - 11*q + 25*q to c + w*q and give w.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 349820*u**2\/3 - 116605*u - 5\/3.\nAnswer: 5*(u - 1)*(69964*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2832838 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 AM and 1:51 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -2*i**2 + 14*i - 10. Let v be h(6). Suppose -5*q - x = -200, 0 = -2*q + v*x + 40 + 28. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 98041510.\nAnswer: 2, 5, 7, 89, 15737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -175, -632, -1389, -2440, -3779, -5400, -7297, -9464?\n\"Answer: c**3 - 156*c**2 + 4*c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f - 10. Let y be u(4). Let c = y - -7. Solve m - c = 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**3 - 72*s**2 + 493*s + 1195. Let l be f(64). Suppose -u + 0*u = 0. Suppose -4*d = 5*q + 79, u - 55 = 4*d - 3*q. Do d and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1994372237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -3*y**2 + 2*y - 1. Let p(q) = -19*q**2 + 4*q - 2. Let d(o) = 2*k(o) - p(o). Let t(u) be the second derivative of u**3\/3 + u. Determine d(t(b)).\nAnswer: 52*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -26 - 25*v**3 - 36*v**3 - 39*v**3 + v + 36 to c + a*v**2 + y*v + k*v**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(5\/(-105)*3). Calculate the common denominator of (91\/s)\/((-8)\/(-10)) and -7\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 - -2234?\nAnswer: 2224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 5) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 436, 1207, 1624, 979, -1436?\nAnswer: -6329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20380171420 - 1.\nAnswer: -20380171421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15611*n + 46978*n - 15548*n - 15686*n - n**2.\nAnswer: -n**2 + 133*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2599 not equal to 2599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -s**3 - 4*s + 0*s**3 + 2*s + (-5*s - 4*s + 5*s)*(-109*s**2 - 6759 + 6759) as b*s + k + m*s**2 + n*s**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence php when three letters picked without replacement from {h: 2, y: 1, p: 1, l: 2, j: 2, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c**5\/3 + 484*c**4\/3 + 59042*c**3\/3 + 114716*c**2\/3 - 58081*c = 0. What is c?\nAnswer: -241, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 + 5\/(-3))*(-67800)\/(-400). Let o = -396 - -188. Let r = c - o. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 60759 and 106507701?\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*s - 3*s + s)*(s - s + 3*s) + ((3 + 0 - 1)*(-3 + 2 + 2) - 8 - 8 + 6)*(15*s**2 - 9*s**2 + 40*s**2) in the form v + b*s**2 + i*s and give b.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*f**3*o*v + f**3*o - 4*f**3*v + 3*f**2*o*v - 2*f**2*o + 23*v wrt f.\nAnswer: -48*o*v + 6*o - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -8*t - 7. Let j(l) = 2*l + 5933. Calculate j(h(r)).\nAnswer: -16*r + 5919","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1*(1 + 1))\/7. Let w be (5\/(-2) - -5)*(-4)\/(-2). What is the second smallest value in w, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 35*r**2 - 1175*r - 680. Calculate k(34).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -31023202310 (base 4) to base 3\nAnswer: -20111112120202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.04 greater than or equal to 0.0262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1097 + 4492. Let h be q\/49 - (-2)\/(-7). Suppose 23 - 8 = d - j, -h = -5*d + 3*j. Solve -4*k = -d, -3*b = -b - 4*k + 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 9*t**3 + 2774*t**2 + 3 - 2774*t**2.\nAnswer: -9*t**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*a**2 + 11*a**2 - 20*a**2 - 14*a**2.\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19634 + -19626. Solve -r - 5 = -5*z, -o*z = -4*r - 6*z - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(133) - (sqrt(133) + (-2*sqrt(133)*5 - sqrt(133)))) + 1*sqrt(133)*6)*-5)\/(1*sqrt(1008) + 1*(sqrt(7) - sqrt(7)*1)).\nAnswer: -85*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 153\/2*(-393)\/((-343089)\/970).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 2*k = -60, 4*f - 3*k - 41 = 53 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and -2107.3.\nAnswer: -421.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.8, 319\/5, 0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 6 - (-1 + -2) - (-4158)\/1638.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 4*n**5 + 296*n**4 - 91120*n**3 + 3052360*n**2 + 91116*n - 3052656 = 0.\nAnswer: -204, -1, 1, 43, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 + 4*c**2 - 3*c + 1. Let p be q(2). Let s = 1 + p. Solve -s*j - 27 = 3*o + 2, 2*j + 13 = -o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6827?\nAnswer: 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 569 + 2*a**2 - 569 + 14*a - 3*a**2. Let l(z) = z. Determine c(l(d)).\nAnswer: -d**2 + 14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 43*q + 255. Let z be d(-6). Let g be (-10 + 10)\/(z - -5). Factor 4\/11*c**3 + g - 6\/11*c**2 - 4\/11*c.\nAnswer: 2*c*(c - 2)*(2*c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q - 4*q - 45 = 0. What is the lowest common multiple of q and 61?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*n**2 + 10*n**2 - 28*n**2 - n**4 - 4 + 8*n**2 + 19 in the form c + z*n**2 + y*n**3 + a*n**4 + g*n and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/(6\/5*(-70)\/28). Let l(h) = 14*h**3 + h**2 - 6*h + 5. Let u be l(s). Solve u*v = 11*v - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*s + 705 + 2439. Let d = s + -226. Suppose 10*o - 9*o = d. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (1848\/180)\/(56\/(-70))*9\/1542 and 67\/396.\nAnswer: 101772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-2\/39))**(-10)\/(j\/j**(-15)*j*j**(-3\/7)*j))**(1\/16) assuming j is positive.\nAnswer: j**(-4657\/4368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 6 + 6)*(-3 - 1 + 0)*(-k**4 + 5*k**4 + k**4).\nAnswer: 80*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6306683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gbi when three letters picked without replacement from {h: 3, g: 4, j: 1, i: 2, b: 6, e: 2}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6909?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 42\/(-27) + (-924)\/(-594). Solve -2*w - v - 5 = 0, y = 13*v - 17*v - 28 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*l**3 - 2*l**3 - 21*l**3.\nAnswer: -45*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 60078 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 - 5*i**2 + 8*i - 5. Is t(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 3*a - 38 = -a, 42 = 4*p + 2*a. What is the highest common divisor of 120 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -r**2 - 2 - 2*r**2 + 4 - 8*r**4 + 3*r**4 to the form s*r**4 + w + t*r + y*r**3 + d*r**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 880 in 0.1, -2, -0.02, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 662131272 to the power of 1\/2, to the nearest integer?\nAnswer: 25732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*s + 3 - 2 - 3*s)*(s**2 + 3*s**2 - 2*s**2).\nAnswer: 8*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -14?  (a) 5  (b) 30587  (c) -0.5  (d) -2\/9  (e) 0.3  (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 40 - -15. Let r(h) = h**2 - 6*h - 132. Let f be r(15). Suppose 6*o - f*x - y = o, -5*x = 25. Calculate the remainder when 37 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6*(11\/10 + -1). Let n be 3\/((-13)\/((-195)\/75)). Factor n*j**3 + 0 - 3\/5*j + m*j**4 - 3\/5*j**2.\nAnswer: 3*j*(j - 1)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 765 by 3.\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 303, 301, 299, 297, 295?\n\"Answer: -2*o + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-1 - (-4 + 3 - -5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5071125*d**3 + 2*d**2 + 12542789.\nAnswer: 15213375*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -353  (b) -5  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1, 1797, 3, -2 in descending order.\nAnswer: 1797, 3, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8921284 to the nearest integer?\nAnswer: 2987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes before 1:49 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the third derivative of h**5\/30 + 40*h**4\/3 + 6400*h**3\/3 - 130*h**2. Factor w(c).\nAnswer: 2*(c + 80)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cle when three letters picked without replacement from {w: 2, l: 2, e: 5, c: 9}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 13*f + 3. Let d be w(5). Suppose 3*t + 99 = -3*v, -2*v - 3*v = 3*t + 93. Let r = d + t. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*u + u + 0*u)*(-12 - 16 + 14)*((-2 + 3 + 1)*(2 + 0 - 1) - 5 - 69 - 18) as c*u + w and give c.\nAnswer: 1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 154496894 to the nearest integer?\nAnswer: 12430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - a + 2, -5*r - 2*a + 3 = -1. Suppose r = -8*y + 29 + 11. Suppose -y = -m, 3*m + 46 + 23 = 3*q. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2378262?\nAnswer: 2, 3, 396377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120)\/(sqrt(56)\/sqrt(7)))\/(sqrt(5) + (-4*sqrt(180) - sqrt(5))))**2.\nAnswer: 1\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**2 - 4*k + 2. Let p be v(-5). Let s = p - 1. Let n(m) = -m**3 - 5*m**2 - 2*m + 1. Determine n(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10 + -11 - (-4 + 1)) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 248 is divided by 66.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/(-6) + 4\/3. Let n = 1.109 - 1.009. Which is the closest to n?  (a) s  (b) 0  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + (18 - (5 + 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1\/7)*f**(-7)\/f)\/(f*f**(-1)*f**(6\/11)) assuming f is positive.\nAnswer: f**(-669\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l*l**0*l*l*l)**(2\/19)*l**(-1)\/(l*l**(-5\/6)) assuming l is positive.\nAnswer: l**(-73\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the first derivative of o**5\/35 - 3*o**4\/28 + o**3\/7 - o**2\/14 + 12. Factor k(m).\nAnswer: m*(m - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -14*k + 32. Give q(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s**5\/s*s))\/(s\/(((s\/((s**(-1\/2)*s*s*s)\/s))\/s)\/s)*s*s)*(s**(-2\/3))**(1\/21) assuming s is positive.\nAnswer: s**(-1201\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 11. Let k = 167 - 86. Let j = -47 + k. Solve j = -5*p + 9, 4*i + 5*p = -x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 5*o - 20 = 0, 2*o + 9 = 2*w - 3. Suppose -2*k - 3*k - 19 = -4*z, -5*k - 25 = -5*z. Suppose 0 = -y - w + z. Solve 0 = y*x - 14 - 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.032378969 and -1410293.\nAnswer: -1410293.032378969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1585 * -0.80932.\nAnswer: 1282.7722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 5*l - 1344 = 0. Suppose -10*b - l = -6*b. Let a be (b\/14)\/((-2)\/35). Calculate the highest common factor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 121 is divided by (4\/(-6))\/((-4)\/(-12)) - -68.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -92*i - 151. Let m be v(-2). Put m, 3, -5, -1 in increasing order.\nAnswer: -5, -1, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6 and 346839.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -400\/807 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7719 and 5060.\nAnswer: 39058140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 84 a factor of 189672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f**2\/5 + 2711103*f\/5 + 550230282\/5 = 0. What is f?\nAnswer: -903498, -203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 350 = -2*z - 57, 0 = 3*f + 5*z - 238. What is the remainder when 811 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 163 (base 13) to base 9.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-7*(-162)\/42)\/3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 - -7. Let a = j + -1. Let l = 1199.7 - 1199. Which is greater: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1934571.\nAnswer: 3, 644857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 123 - 119. Solve -f*i + 2*i + 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**2\/4 + 660876*p + 15861456.\nAnswer: -3*(p - 881192)*(p + 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 366941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -12300.53 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 - 10. Let j = -5 - n. Let u be 25\/9 - j\/9. Solve 3 = -3*q - u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 6, -1, 2, 21, 62, 131, 234, 377?\n\"Answer: a**3 - a**2 - 11*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - -3 - 5 - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 0, -3, 1\/5, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + 0)*(16\/(-6))\/((-992)\/372).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = -6*p + 27, -79*w + 78*w = 5*p - 33 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 5 and -8965593110.1.\nAnswer: -8965593105.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the first derivative of n**2 + 7*n - 3. Let s be w(-5). Is 20 - ((-9)\/s - 5) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange x**3 - x - 2296*x**2 + 2298*x**2 - 4 + 9 to the form r*x**2 + y*x + k*x**3 + s and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2027 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are -141 and -83539\/596 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16721*s - 5217 = 16610*s for s.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -14533502 or -14533506?\nAnswer: -14533502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 0*i + 4 - 3*i + 2*i. Suppose -229*k + 224*k + 30 = 0. What is the smallest common multiple of o(-10) and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1472 and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 76, 153, 228, 301?\n\"Answer: -a**2 + 80*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1131)\/(-8294)*((-32)\/18)\/((-8)\/4).\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1, -24, -3, -19 in increasing order.\nAnswer: -24, -19, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-64)\/544*136\/(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 66989.\nAnswer: 13, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -267.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate a*z + 199009*a - 16727*z with respect to z.\nAnswer: a - 16727","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.032*-0.04251.\nAnswer: 0.00136032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -158750.235 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2240*k - 1682*k + 905*k to the form z + q*k and give q.\nAnswer: -3017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(440)*1)\/sqrt(10) - -1*sqrt(44)*2)\/(sqrt(36) + (-3*sqrt(432))\/sqrt(12)) + 4 + -3.\nAnswer: -sqrt(11)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5503 (base 6) in base 12?\nAnswer: -893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -k**2\/2 - 51*k\/2 + 270 = 0?\nAnswer: -60, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -151\/54 and 117\/40.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -48, -39, -18, 21, 84, 177, 306?\n\"Answer: q**3 + 2*q - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k**2 + 61*k - 50590. Determine q(-175).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppqqpdppmetpdp. What is prob of sequence qpeq?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -31696752*b**2 + 15769432 with respect to b.\nAnswer: -63393504*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -403 + 357 + 40 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 - 12 - 13 + 34 + 7*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 3*v**2. Let w(j) = 8199*j - 2. What is m(w(n))?\nAnswer: 201670803*n**2 - 98388*n + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {w: 16, t: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -790000 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4149 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s - 3*s**5 + 0*s**3 + 0*s**3)*(27 - 23 - 37).\nAnswer: 99*s**5 + 33*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**5*d\/((((((d\/d**(-4))\/d)\/d)\/d)\/d)\/d*d))\/(((d**2\/d)\/d)\/(d*d*d*d\/(d\/(d**(5\/4)*d))*d)) assuming d is positive.\nAnswer: d**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 255 - 244. Find the third derivative of -75*f**2 + 80 - 166 - c*f**4 + 86 wrt f.\nAnswer: -264*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*n - 1240 = 29*n + 3*n - 5*n for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*f**2 + 4 - 8 + 22 + 5*f**2 - 2*f**2 - 2*f**2 + (-4*f + 3*f + 0*f)*(-4*f - 3*f + 6*f).\nAnswer: 4*f**2 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-90)\/(-50)*(-20)\/(-6). Let f(r) = -7*r - 7. Suppose g - 2*u = -1 + 3, 2*u = -2*g + 10. Let q(j) = -6 + 0 - g*j + 0*j - 2*j. Calculate y*q(p) - 5*f(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4343 - 4343 + 30*z**3 + 60*z wrt z.\nAnswer: 180*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*v - 16*v + v**2 + 3*v**3 - v**2 to the form x*v**3 + r*v**2 + n + j*v and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -42, 0.17807, 0.5, 3\/7, -5?\nAnswer: 0.17807","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -216949\/45 - -4822. Find the common denominator of x and -21\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + (10 - 6) - 24?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 7850, 1.23, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4659949.\nAnswer: 7, 95101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2238, -4576, -6914, -9252, -11590, -13928?\n\"Answer: -2338*r + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + 6288269?\nAnswer: 6288270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12757801 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 11*s - 9. Let u(p) = -4*p + 3. Let j = -2791 - -2808. Let m = 2 - -4. Suppose 53 = m*f + j. Calculate f*t(n) + 17*u(n).\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -211.659 to the nearest integer.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2779*t**2 - 43294037*t\/3 + 6924.\nAnswer: -(t + 5193)*(8337*t - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**1)**(2\/29)\/(c**(-3)\/c**(-2)))**(-3\/43))**4 assuming c is positive.\nAnswer: c**(-372\/1247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*((-56)\/10)\/(-7).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*i + 9611 - 12189 = 11832. Calculate the greatest common divisor of 22 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16 + 743. What is the highest common factor of c and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 - 14. Let u(c) be the third derivative of -c**5\/60 - 5*c**4\/24 - 5*c**3\/6 + c**2. Let z be u(v). Put -1, 0, z in ascending order.\nAnswer: z, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*x - 2*x - 63 = 0. Let w(b) = -b**2 + 7*b + 2. Let s be w(x). What is the third derivative of 11*y**5 + 22*y**s - 34*y**5 + 10*y**5 wrt y?\nAnswer: -780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -55*m**3*w**2 + 2151*m**3 - 130138*w**2 wrt m?\nAnswer: -165*m**2*w**2 + 6453*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1840 and 48682.\nAnswer: 46842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -149 = -3*r + 79. Calculate the remainder when r is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.8 + 0.86. Let v = w - 0.36. Let a = -2.3 - v. Which is greater: 0.1 or a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4*(-7)\/14)\/((-3)\/33*-22) - -1. Factor -1\/10*a**k - 16*a - 640.\nAnswer: -(a + 80)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16353613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 24*m**2 - 5*m + 12. Let t(f) = 34*f**2 - 7*f + 18. What is 7*g(z) - 5*t(z)?\nAnswer: -2*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12932 and 3233.\nAnswer: 12932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 14 = -4*a, z + 7 + 8 = -4*a. Is z\/1 + 0 + 12 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -4*r - b + 2*b, -3*r = 4*b + 16. Let y(v) = -v**2 + 9*v - 11. Let x be y(8). What is the closest to -1\/2 in r, x, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 - a**2 + a + 3. Let i be g(0). Suppose d - 12 = -i*d. Suppose 74 = 5*l - d*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6 - 410625262?\nAnswer: -410625253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 188\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 813.\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d. Let y be (-12 - (-18)\/6)*((-90)\/(-15))\/18. Let b be (-5)\/4 - 1\/(-4). Let c(x) = 5*x + 2. What is b*c(o) + y*n(o)?\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 2 h, and 1 x when four letters picked without replacement from xhwwwwawwhwxaxw.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 36  (b) -11\/5625  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -498525 divided by -5\nAnswer: 99705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -146, 2, 2\/3, 2\/1899?\nAnswer: 2\/1899","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 72911.63 centuries?\nAnswer: 729116.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001596333 rounded to seven dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 96 a factor of 35834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -4+-3.30307\nAnswer: -7.30307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -72 + 63. List the prime factors of f\/(504\/(-2224)) - (-4)\/14.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*b**4*r + 5608*b**3*r - 123*b - 191*r wrt b?\nAnswer: -24*b**2*r + 33648*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.16 * 0.7.\nAnswer: 0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 3*i, -w + 2*i = -3*w - 8. Suppose -d = -w*d. Suppose 3*v + 6 = d, -2*h = -0*h - 2*v - 204. Does 20 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = 2*f - 10, 2*g = -2*g + 2*f - 10. Suppose 3*j = 5*r + 40, -2*j + 2*r + 2*r = -30. Suppose -45 = -g*k - j*k. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 103*z + 108*z + 119*z - 428*z + 132*z.\nAnswer: 34*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 2 a when three letters picked without replacement from {a: 2, y: 2, k: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 15 + 52 + 137 - 5*y + 3*y as w*y + f and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(3\/7)\/(d*d*d*d\/d**6*d*d))\/((d**(-2)*d)\/d**(3\/5)) assuming d is positive.\nAnswer: d**(71\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 30*g**3 - 2*g**2 - 2*g + 5. Let q(b) = -61*b**3 + 5*b**2 + 5*b - 11. Calculate 2*q(c) + 5*r(c).\nAnswer: 28*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.25?  (a) 3  (b) 4  (c) 28  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 519634267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2450 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 5*o = 12, -3*o + 2 + 1 = 3*u. Let b(f) = -8*f**3 + f**2 - 1. Determine b(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0086113345 to 6 decimal places.\nAnswer: 0.008611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 209\/11*(5 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01 + 1995738985?\nAnswer: 1995738984.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10011 (base 2) to base 14.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -65698*j**2. Let z(w) = 99*w. Give z(i(f)).\nAnswer: -6504102*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1381 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -2*m**5\/7 - 8*m**4\/7 - 2*m**3\/7 + 4*m**2 + 40*m\/7 + 16\/7 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 + 11 - 19*v**3 + 5 + 21*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -3*s + 28. Suppose -18*n + 16*n = 0. Solve -c + s = 2*z - n, 4*z = 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -3749*t**2 + 12*t. Let u(y) = 9*y**2 + 2*y. Determine -6*u(v) + w(v).\nAnswer: -3803*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = 3*i - 5*g - 37, -2*i = g - 1. Suppose 13 = 2*o + i. Let l(h) = 4*h - 2. Calculate the smallest common multiple of l(o) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 2  (b) -3  (c) -1  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**2 + 35*u + 216. Let v be d(-12). Put v, -1, 4 in increasing order.\nAnswer: v, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 5*h**2 + 21*h + 7. Let d(s) = 5*s**2 + 1 - 9*s + 3 - 7 - 8*s**2. Let z(k) = -7*d(k) - 3*n(k). Let t(m) = 32*m**2. Calculate t(z(c)).\nAnswer: 1152*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -137206188 divided by -1484\nAnswer: 92457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -1.09, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/3*9\/6. Is t greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f - 18 = q - 34, -f = -1 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + b + 87 = 0, -20*f + 17*f + 261 = 2*b. Which is smaller: 263\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -123502, -247004, -370504, -494002, -617498, -740992, -864484?\nAnswer: -987974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82*k = -8984 + 8738. What is the fourth biggest value in 4, -0.04, -3.3, k, -1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10 - (1 + 5)) + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -40\/3, -20, 1?\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/i**6)**(-1\/69))**(-7\/6) assuming i is positive.\nAnswer: i**(-35\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -2*q**2 + 18*q - 6*q + 3 + 0*q**2 + 3*q**2. Let f be a(-9). Let j = 39 + f. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1038613271.\nAnswer: 41, 43, 577, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 + -9. Let y = -423 + 427. Let p = 38 - 186\/5. What is the closest to 0.2 in s, y, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 + 2.1. Let h = 3115 - 3110. Let u = -16 + 15. Which is the nearest to k?  (a) h  (b) u  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 206619108 to the nearest integer?\nAnswer: 14374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14\/9, 4, -1 in descending order.\nAnswer: 4, 14\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one tenth of a day?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u + 28 = -2. Let m(k) = -5*k**2 - 5*k - 11. Let x(p) = 4*p**2 + 5*p + 10. Let t(h) = -3*m(h) - 4*x(h). Calculate t(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -13*y + 116. Let u be (7\/((-21)\/2))\/((-8)\/(-84)). List the prime factors of h(u).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 3*d + 5 = d, -4*d + 3 = 3*z. Solve 2*q - 3 = -z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 92284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bgbawnnbbbnb?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5\/183  (b) 1834  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 66 - 38. Suppose -4*l + 3*g + 60 = 3, 42 = 3*l - 3*g. Calculate the remainder when p is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/(-8))\/(5\/20). Let j be (-1)\/v*0 - -29. Suppose i - 146 = -5*c + c, c + 4*i - j = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 5 + -23 + (2 - -11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 43422610 to the nearest one million.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4383?\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 334390774*x**3 - 2612*x**2 + 592*x + 39?\nAnswer: 2006344644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 10 = -31920*g + 31930*g, 5*w = 3*g - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000577 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 834196 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 891630533.\nAnswer: 891630533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 60353468?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) 1  (c) 22  (d) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -746*((-30)\/25)\/3. Let o be 5406\/18 + (-2 - (-10)\/6). Let q = o - c. Calculate the common denominator of q and 59\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/8 + 65\/(-4). Let u(i) = -2*i**2 + 43*i + 11. Let w(t) = -t**2 + 15*t + 4. Let y(o) = j*w(o) + 6*u(o). Let y(a) = 0. Calculate a.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1834097264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 71 + 29)*(3 - 2 + 1)*(-1 - 1 + 4)*(8*o + 7 - 7) + 3*o + 1 - 1.\nAnswer: 3427*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(80) + 1 + sqrt(80) + sqrt(55)\/sqrt(99) + sqrt(180)\/sqrt(4) + 3)**2 + (sqrt(10)\/sqrt(50) + (sqrt(20))**2 + -4 + sqrt(5))*-5.\nAnswer: 254*sqrt(5)\/3 + 5204\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(36)\/sqrt(3)*1 - sqrt(12))\/(sqrt(144)\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 56289*w**5 + w**4 + 164122*w.\nAnswer: 1125780*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/520 and 57\/416?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + y)*(0*y - y**3 + 0*y) - 3*y**4 - 4*y**4 + 4*y**4 + (-7 + 12 + 3)*(3*y**4 + 4*y**4 + 8*y**4).\nAnswer: 116*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 13231907417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -o + 27, -2*o + 7*o = 3*d - 5. Suppose 0 = -2*p - o*p + 16. Find the second derivative of 2*m + m + 2*m**p - 5*m - m**4 wrt m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the third derivative of 1\/8*c**6 + 0*c + 17*c**2 + 0 + 5\/6*c**3 + 5\/24*c**4 - 5\/12*c**5. Solve i(a) = 0 for a.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 44940 by -3210.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence urr when three letters picked without replacement from urrllrlbrrllll?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 630229 - 4771 = 0. Round b to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -47461 - 2?\nAnswer: -47463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -405 + 54. Suppose -4*t = 3*b - 156, 6*t + b - v = 3*t. What is the greatest common divisor of 741 and t?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*q = 9*q - 4*w + 4, w = q + 1. Solve 19*f - 23*f = q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*q + 11*m - 82, -5*q + 5*m = -577857 + 577767 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -4*i + 5*p + 6, -i + 3*p + 3 = 0. Solve -6 = 2*w - i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2921 - 1717. What is the remainder when s is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1461, 1457, 1463, 1485, 1529, 1601, 1707, 1853?\n\"Answer: t**3 - t**2 - 8*t + 1469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/202 and -79\/1894?\nAnswer: 191294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -313.43 - -229.9. What is u rounded to zero dps?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 32 - -2*(1 + 0). Suppose 0 = -5*f + 5*d - 32 - 33, 4*f + 2*d = -o. Let u be f*-3*(-8)\/60. Which is the closest to 1?  (a) -0.4  (b) u  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**3 + 8*l**2 + l - 4. Let r be o(8). Suppose 12 - r = 4*y. Suppose v - c - 16 = 4*c, 2*v - y*c - 24 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 19 - 6)*(3*d + d - 6*d - 2*d + d + 0*d + (-2 - 2 + 6)*(-2*d + 0 + 0) - 5 + 2*d + 5).\nAnswer: 145*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -6  (b) 5  (c) 2\/57  (d) 0.1  (e) -5  (f) 3  (g) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {f: 2, g: 2, t: 2, i: 1, n: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**3 + 8*s**2 - 19*s + 3. Give h(7).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooo. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 2208 divide 18412512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 704, 1413, 2124, 2837, 3552, 4269?\n\"Answer: v**2 + 706*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -86, -273, -562, -953, -1446, -2041?\nAnswer: -2738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 233159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -160 (base 15) to base 10.\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*j = 231 - 973 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-8)\/20 - (-18)\/(-5). Sort 3, v, -66 in decreasing order.\nAnswer: 3, v, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + -53?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -i**4\/7 + 38298*i**3\/7 + 651299*i**2\/7 + 2145588*i\/7 + 1992380\/7 = 0.\nAnswer: -13, -2, 38315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 4*x + 7. Let g(f) = -9*f - 14. Let c(w) = 3*g(w) + 7*j(w). Let l be c(-6). Suppose -s + l = -1. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 372, 1238, 2682, 4704, 7304, 10482?\n\"Answer: 289*y**2 - y + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -374*c + 1709 + 3020*c - 1978 wrt c?\nAnswer: 2646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 120, 1893, -4.\nAnswer: -4, 120, 1893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 69086493 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(13) + sqrt(208)) + sqrt(13))**2 - (5 + -2*sqrt(13)).\nAnswer: 2*sqrt(13) + 1048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 + 23*b - 79. Let s be g(19). Put s, -4, 0, -20 in ascending order.\nAnswer: -20, -4, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**21)**(5\/9) assuming x is positive.\nAnswer: x**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tttgtgmggggggmggttg. Give prob of picking 1 t and 3 g.\nAnswer: 165\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4036*y - 124776 = 570*y for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z**2 + 0 + 0)*(-165 - 23*z**3 + 165) - 3*z**5 + 6*z**5 - 4*z**5.\nAnswer: -70*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (4*(sqrt(7) + 1)**2 - sqrt(7)).\nAnswer: 7*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1139679?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kxe when three letters picked without replacement from ewewxzwkke?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -10*w + 1. Let p be (-1)\/((12\/33)\/4). Let h = p + 13. Suppose a - 3*a = h. What is y(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7808 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 2 = 16. Suppose 4*r + 3 = w. Let m(f) = -2*f - 4. Let o be m(-3). Solve -r - 5 = -o*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 561.9428 + -562. Let k = -5.9472 - p. What is k rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -20*y**3 - 28*y**3 - 7*y**3 - 3*y**3 - 2*y**3 - 4*y**3 + (-2 + 2 - 3)*(0*y**2 + 0*y**2 + y**3).\nAnswer: -67*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1\/3, -6, -4, 1\/15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 36 - 34. What is the third derivative of 5*i**5 - i**2 + 7*i**5 + 0*i**2 + 0*i**u wrt i?\nAnswer: 720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 - 5*h**2 - 7*h - 3. Calculate q(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -247, -482, -719, -958, -1199, -1442?\nAnswer: -1687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000025873 to 7 dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d - 50. Give c(-14).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3b - -79bc?\nAnswer: 7a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.02062 and 21049038.\nAnswer: 21049037.97938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**3 - 19*n**2 - 10*n - 4. Does 32 divide f(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 271962, 271960, 271956, 271950, 271942, 271932, 271920?\nAnswer: 271906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(((-11)\/(528\/18))\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1021451\/10 + 207383\/2. Let i = -1546 + z. Factor -i*k**4 - 1\/5*k**3 + 0*k**2 + 0*k + 0.\nAnswer: -k**3*(2*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -468*f**2 + 2403640*f + 41088.\nAnswer: -4*(f - 5136)*(117*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -4*t + 2. Let c be f(-2). Suppose 2*q + c = v, 3*q - 6 + 21 = 5*v. What is the second derivative of -24*s**3 + v*s + 29*s**3 - 5*s wrt s?\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 5*f**3 - 2*f**2 - 4*f - 4. Let q(m) = -11*m**3 + 5*m**2 + 9*m + 9. Suppose 2*j - 7*j + 45 = 0. Calculate j*v(b) + 4*q(b).\nAnswer: b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 377.5 + -1158454.\nAnswer: -1158076.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 71.42 times 91.4\nAnswer: 6527.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001249 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (300\/(-40))\/((60\/(-16))\/(-5))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 3*c + 3*d - 56, 2*d - 88 = -4*c. Solve c*w - 8 = 15*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 306149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(143) + (sqrt(143) - (-5*-1*sqrt(143) - sqrt(143))))\/sqrt(11).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r*r**(7\/3)*r**16 assuming r is positive.\nAnswer: r**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes after 11:41 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(-3\/14)*o\/(o**(-2\/7)\/o)*o)\/(o*o**(-1\/5)\/o*o\/(o*o*o**(-1\/8)*o)) assuming o is positive.\nAnswer: o**(263\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/15, -2, 173?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o, 1 h, and 1 g when four letters picked without replacement from ggooogghohh?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 5:42 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 16207 (base 11) to base 4\nAnswer: 11211130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/715 or -43260?\nAnswer: -2\/715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.9 - -0.865. Let h = -0.027 + l. What is h rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44760 divided by -4\nAnswer: -11190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - a - 1 + 1 + 1883*a - 1931*a + (-a + a - a)*(2 - 1 - 2) + 3 - 3 + 7*a.\nAnswer: -41*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is da3c3 (base 16) in base 8?\nAnswer: 3321703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 2*i - 161 = i, -5*i - 599 = 4*w. Let v = w - -93. What are the prime factors of 40\/12*v\/(-6)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((6\/2)\/6)\/((-4)\/8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + -34241320?\nAnswer: -34241323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*w = -18*w + 8, 5*n - 504 = 3*w. Suppose n = -d + 3*d. Calculate the remainder when d is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -65 and -8.213803.\nAnswer: 533.897195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2\/8 - (1 - 158\/8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*i + 17 = 4*y - 19*i, -3*i + 1 = 5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 + 8*-1 + 3. Calculate the remainder when 17 is divided by -4*(-1 + 5\/s).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*f + 20*f - 4*f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sfsm when four letters picked without replacement from mssfsmsssmmhmms.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 2*s**2 + 95*s - 2081. What is r(16)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14673340 and 1480.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000732 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.06  (b) 0  (c) -0.103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -17*w**4 - 467*w**4 - 148*w**4 + (4*w**3 - 2*w**3 - 4*w**3)*(-2*w + 4*w - 4*w).\nAnswer: -628*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**2 + 9*c - 12. Let s be a(7). Differentiate 12 + 2*z**2 - 9*z**s - 7 wrt z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, q: 1, l: 1, n: 1, u: 2, p: 2}. Give prob of picking 1 p, 1 r, 1 u, and 1 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1424*r*v**3 + 10*r*v**2 - 104*r*v - 89*r wrt v.\nAnswer: 8544*r*v + 20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-4\/23)*v**(-1\/3))**37 assuming v is positive.\nAnswer: v**(-1295\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 37409 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 20.09 - 3.19. Let r = x + -17. Let d be 4\/6*9\/(-4). Which is the smallest value?  (a) r  (b) d  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-42)\/(-39) + 3 - 4. What is the second biggest value in 0, d, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-2)\/(-4))\/(215\/72 - 3). Let l = i - -63. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iqaapaqaqqj. What is prob of sequence aq?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 149\/415998 and -105\/4945754?\nAnswer: 44511786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 282*x - 64 = 266*x. Let m(r) be the second derivative of -13\/15*r**3 + 8\/15*r**x - 4*r + 0 - 2\/25*r**5 + 3\/5*r**2. Factor m(l).\nAnswer: -2*(l - 3)*(2*l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + t**4)*(-t - t + 0*t - t + 2*t - 2*t + (2 + 2 - 5)*(5 + 2*t - 5) + 0*t - 3*t + 2*t + 6 - 6 - 4*t - 3*t + 4*t - 2*t).\nAnswer: -11*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -57*h**3 - h**2 + 2*h + 3. Suppose 0 = -5*m + 5*f - 15, -2 = 3*m - 5*f + 11. Let p be -2 + 4 - m - 4. What is the tens digit of w(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1110001100101 (base 2) to base 12\nAnswer: -4259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20 - -23) + (0 - (3 + -2)) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 2258 divide 1192987281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*n**3*w**5 - 47981*n**3*w**3 - 19*n**3*w**2 - 18*n**3 - 9*n**2*w - 1 wrt w.\nAnswer: -120*n**3*w**2 - 287886*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/241296 and 13\/120648.\nAnswer: 241296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 6 = t. Suppose -58 = -6*k + 3*k - 4*b, -5*b - 22 = -t*k. Calculate the smallest common multiple of 8 and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 12*b. Let u(r) be the third derivative of -6*r**2 + 0*r**4 + 0 + 0*r**3 + 0*r + 1\/30*r**5. Determine u(a(i)).\nAnswer: 288*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-29)\/((-116)\/72) + 66\/(44\/4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -75*p**4 - 515*p**3 + 745*p**2 + 4635*p - 630 = 0.\nAnswer: -7, -3, 2\/15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the second derivative of -l**10\/10080 + l**8\/1120 - l**6\/240 - l**4\/4 + 4*l. Let a(n) be the third derivative of v(n). Suppose a(p) = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of -1\/330*p**5 + 0*p + 0*p**4 + 0*p**3 + 9\/2*p**2 + 29. Let l(y) be the second derivative of t(y). Factor l(b).\nAnswer: -2*b**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k - 3*k - k)*(-41*k**2 - 100 + 100) + 1 - 19*k + 16*k + 4*k**3 - 19*k**3.\nAnswer: 67*k**3 - 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-132)\/(-33)*(4 - 1 - 2). Suppose 0 = -4*o - g - 9, 14 = -2*o - s*g + 6. Put o, 0, 63 in ascending order.\nAnswer: o, 0, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 368 (base 14) in base 7?\nAnswer: 1661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1015199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -48.5, 3, -0.4, -2.2, -0.1, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((-4 + sqrt(891) - sqrt(891)) + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 + 6*j**2 - 3*j + 5. Let z be p(4). Let s(c) = -8*c + 35. Let v be s(3). Suppose v*g = z - 3. Solve 16 = -g*f + 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.154645 + -28004589\nAnswer: -28004589.154645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 29*n**2 - 12*n - 20. What is the remainder when m(-2) is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 364 a factor of 1537221140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 5*v**2 + 1. Let a be m(-1). Let d = a + -2. Let w be (-4)\/10*d\/(-8). What is the third biggest value in w, 3\/2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - (98 - 4))*(-42)\/42 - (-8 - -8)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*u + 63547 - 68*u + 14*u - 63547.\nAnswer: -25*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -47683*j**2 - 60*j - 30. Let x(y) = -265177084*y**2 - 333676*y - 166838. Calculate 15*x(o) - 83419*z(o).\nAnswer: 11917*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-9)\/2)\/(-1 - 2). Suppose 5*y + 9 = -3*p, -44*p + 39*p - y + 7 = 0. Factor v*d**p + 6 - 6*d.\nAnswer: 3*(d - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:41 AM and 1:44 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(55) + (sqrt(1375) - (sqrt(1375)*5 - sqrt(1375) - sqrt(1375))) - sqrt(55))\/((sqrt(99)*2)\/sqrt(9)).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 65*m**2 + 9*m + 9. Calculate the remainder when 192 is divided by s(-1).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2 + 2148*m - 1239680.\nAnswer: 2*(m - 416)*(m + 1490)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 1130176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is 1822 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: What is the highest common factor of 904 and 48776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -570 + 565. What is the closest to -0.2 in -4, 3\/8, p, 3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 141*r**3 + 71975*r**2 + 307*r**3 - 14 - 71976*r**2 to the form b*r + g + w*r**3 + o*r**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 40 and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - 10) + (-3 - -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes before 1:20 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 7, e: 5}. What is prob of picking 1 e and 2 r?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2058 + t - 1029 - 1029 - 5*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 24 = 2*s + 2*g, 0 = -5*s + g + 18. Suppose -p + 0*p + s*y = -69, -3*p = 4*y - 143. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 427901011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -71, -1, 159\/5050 in descending order.\nAnswer: 159\/5050, -1, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 7*f - 3. Determine k(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes after 1:36 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -374 + 374.1. What is the closest to v in -1, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -28 - 40. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, f: 1, n: 1, c: 1, s: 1}. Give prob of picking 1 s and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -105976 or -105975?\nAnswer: -105976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 2*x. Let m be b(2). Suppose -h + 140 = m*h. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 896 and 532.\nAnswer: 17024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/169 < 106663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -11912548*c - 15379290.\nAnswer: -11912548","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4103 - -42340?\nAnswer: 33232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -3*-0.317\nAnswer: 0.951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000410996 to 6 dps.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3321 and 162.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 - 23\/3. What is the nearest to -1 in 5, c, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 26 + -21. Let j be (-6)\/10 + 23\/l. What is the tens digit of (6\/9)\/(j\/222)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70891?\nAnswer: 70891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 500*h**2 - 38350299*h + 38350299*h to the form j*h + k*h**2 + l and give k.\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 17 = -2*s + 7, -t = 3*s - 61. Suppose l = -l - s. Let v = l - -13. What is the remainder when 4 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/12 - ((-10779)\/18 + 2). Solve 2*c = 2*d + 8, 596*d = -4*c + t*d + 13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 AM and 3:22 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 751?  (a) -5\/6  (b) -1  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2788 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5.06 + 5. Let m(r) = 3*r - 41. Let y be m(12). What is the nearest to l in y, -0.4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12 - 9. Suppose -y*j = 6, -v - 2*j + 19 = 6. Let n = 28 - v. Calculate the lowest common multiple of n and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 7, 0.06, 0, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 5*g**3 - 2*g + 2. Give d(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -110021120 + -120100?\nAnswer: -110211220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 187*d - 369*d - 99 + 36 - 40 + 181*d + 1305*d**4 wrt d?\nAnswer: 5220*d**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 51163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-4))\/(882\/432 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 smaller than 2\/482485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 500*a**3 - 900*a**2 - 195*a - 10.\nAnswer: 5*(a - 2)*(10*a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -43431\/94 - 210\/47. Let a = v + 480. Find the common denominator of a and 2 + -1 - (-582)\/36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18693.\nAnswer: 3, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 18 = 2*j - 34, 0 = 2*j + 3*r - 38. Let n = j + -4. Calculate the remainder when n is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -38, -222, -740, -1760, -3450, -5978, -9512, -14220?\n\"Answer: -28*a**3 + a**2 + 9*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 1 = -2*g, -5*g + 4*g + 4*i + 6 = 0. Solve g*x - 3 - 19 = -3*y, 4*y = 4*x - 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w + 3 = -2*o, 5*o - 6 = 6*o - 3*w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56307 is divided by 1610?\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = -2*g + 3*g. Suppose 2*d - 4*q - q = -48, -2*d + 2*q = 48. Let w = d + g. Calculate the greatest common divisor of w and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 1\/13  (b) -2\/5  (c) -2  (d) -5\/52  (e) 0  (f) -1\/5  (g) 3\/8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 25 by -30.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2, -439, -1198, -2279, -3682?\n\"Answer: -161*w**2 + 46*w + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3090.177116 rounded to the nearest 10?\nAnswer: -3090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 + 8*h + 17. Let j be d(12). Let i = 51 + j. What is the remainder when 78 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18 (base 13) to base 9.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.71 + -1.11. What is the smallest value in 4, q, -3\/4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 23256 + -2?\nAnswer: 23254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 2495, -2, 4, -72 in descending order.\nAnswer: 2495, 4, -2, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -2*y + 55. Determine a(-9).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/7  (b) 634  (c) -13\/2  (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 6 = -5*n, 5*n - 7 = -135*p + 132*p. What is the nearest to n in 0.02, 0.07, 0?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8852.896 grams in milligrams?\nAnswer: 8852896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b\/b**17*b)\/(b*(b*b**(-8\/7)*b)\/b))\/(b\/b**(-1)*b**(-8)))**15 assuming b is positive.\nAnswer: b**(-930\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = u - 4*u. Solve f - u*f - 4 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 41*i - 24*i - 39270. Is 70 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -75597598.4 rounded to the nearest 100000?\nAnswer: -75600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 + 21. Suppose t + 14 = 2*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 5 - 10 = 0. Let o be -1*((3 - 1) + u). Is -2 + 30 + 9\/o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 2, p: 11, q: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**3 + 7*r**2 - r - 27. Let d be g(5). Let c be (-12)\/d - 112\/(-204). What is the nearest to -8 in c, -2, 3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from lbwssbd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 3*f**3 + 13*f**2 - 6*f. Let d(p) = 2*p**3 + 12*p**2 - 6*p. Let o be (-294)\/9 - 8\/(-12). Let z = o - -36. Let a(x) = z*i(x) - 5*d(x). Factor a(b).\nAnswer: 2*b*(b - 3)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 less than -3.24646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 14859*x + 882. Let v(a) = -1367028*a - 81081. Give -1287*b(u) - 14*v(u).\nAnswer: 14859*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - y + 2)*(-3*y**3 + y**2 - y**2) - y**3 - y**4 + y**3 + (3*y - 2*y - 3*y)*(4*y - 7*y - 13*y)*(-1 - 4*y**2 + 1).\nAnswer: -126*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-122)\/8 - 11\/(-44). Let k be (0 + -1)\/((-3)\/b). Let u(j) = -j - 10. Let w be u(k). Let c(h) = -h**2 - 3*h + 5. Determine c(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 62, -0.02, -11, 0.02, 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 13 - 3*y**2 - 7*y + 5*y**2 - 5*y**2 - 5*y. Let a(v) = -v + 1. Let k(q) = -22*a(q) + 2*l(q). Solve k(f) = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 19*a**2 - 127*a + 143. Calculate r(6).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -560 by -20.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -7, -14, 1\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -3*q + 2. Let k be j(5). Let i = -8 - k. Is 4 a factor of ((-36)\/(-15))\/3*i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 16 - 14*o**2 - 12*o - 10*o**2 + 22*o**2 - o**3. Let u(r) = -r**2 + 1. Let t(p) = 3*i(p) - 24*u(p). Solve t(m) = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 25*u**5 - 3790*u**4 + 84605*u**3 - 497900*u**2 - 212940*u = 0.\nAnswer: -2\/5, 0, 13, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 51\/(0 + (-2)\/(-6)). What is the greatest common divisor of 68 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 - 33*s**2 - s + 15. Let k be w(33). Let t be 24\/k - (-115)\/75. Which is the biggest value?  (a) 2  (b) 0  (c) 1\/4  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-7)\/21*185)\/((-4)\/144). What is the greatest common factor of 100 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**2 - 64*c + 393. Does 9 divide h(58)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**2 - 5*f + 3. Let g(n) = -n - 1. Let p(t) = g(t) - k(t). Let q be p(2). Sort q, 4, -1, -2 in descending order.\nAnswer: 4, q, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.2408146 to two dps.\nAnswer: 8.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.109495ml to litres.\nAnswer: 0.001109495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 782.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -457249.033 rounded to the nearest ten?\nAnswer: -457250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and -15.581.\nAnswer: 62.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/3787064 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -363, -365, -367?\n\"Answer: -2*h - 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2991*b**2 - 455 - 521 + 3006*b**2 - 4*b wrt b.\nAnswer: 30*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the first derivative of -b**3\/3 + 9*b**2\/2 + 22*b - 8. Let r be m(11). Suppose -3*c + 192 = -r*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4971*a + 3277682 = -4934*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -4*sqrt(3200)*-1 + sqrt(3200) - (5 + (sqrt(3200) - -4*sqrt(3200)) + -5))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 - -18. Suppose -10*x = -m*x + 3. Factor 8*z - x*z**2 - 4*z**2 + 3*z**2 + 4*z**4 - 8*z**3.\nAnswer: 4*z*(z - 2)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 432\/96 - -3*3\/(-3).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -5*a + 65, 5*l + 13*a - 91 = 9*a. Solve -4*j = -4*n, -11*j + l*j + 2*n + 24 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12 + -15 - (-10 - -2)) + (2 - 2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-28)\/(-6))\/((-2432)\/(-14592))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 35891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 397 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, -3, 0.3, 2\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 100.9 - 101. Which is the nearest to -1?  (a) 9  (b) -3\/2  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p + 6 - 7. Let b be -1 + (2 + p - 2). Let l be -1 - (77\/(-21) - (-2)\/(-6)). Solve b = -l*z + 1 + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**2 - 2*i + 1. Let v be j(1). Suppose 26*s - 23*s - 759 = v. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1679, 1616, 1555, 1496, 1439, 1384, 1331?\n\"Answer: v**2 - 66*v + 1744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.4, 0, -2\/477?\nAnswer: -2\/477","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -380 = 53*z + 44 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vwwmmmmv. Give prob of picking 4 m.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -7 - 8*x**2 + 21*x**2 + 10*x - 2*x**2. Is d(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -36515022 and 0.285?\nAnswer: 36515022.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 19408283 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g + 8. Let r be k(7). Let l be -25*(36\/r + -3). Calculate the highest common divisor of 135 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -258.64 + 251. Let j = f - -5. Round j to 1 dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**4 - 1770*f**3\/7 - 72*f**2.\nAnswer: -3*f**2*(f + 84)*(7*f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*b - 10. Suppose -2*f + 18 = b*p, 0 = 2*f + 2*p - 14 - 0. Let i = 11 - f. Solve 0 = t - 3*t - i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -2*p. Let v(z) be the third derivative of 1\/24*z**4 - 6*z**2 + 0*z + 0*z**3 + 0. Give u(v(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 2 = -4*z - 8, -2*c + 5*z + 14 = 0. Suppose w - c*w + 26 = 0. Calculate the remainder when w is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -3*-4*(1 + sqrt(720) + 1))**2.\nAnswer: 5760*sqrt(5) + 104080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 6*f + 9. Let j(i) = 16*i + 3. What is j(s(l))?\nAnswer: 96*l + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**1\/(m**4\/m)*(m**4\/m)\/m*m*m**(-5)*((m**(2\/5)*m)**(-7\/6))**19 assuming m is positive.\nAnswer: m**(-1051\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**3 + 11*k**2 + k - 5. Let x be f(11). Let u(b) = b - 3. Let q be u(x). Solve 0*t = a + q*t + 13, 2*t + 8 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 494065 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 7*r + 1. Suppose -9 = s - 2*g, 3*s + 5*g - 9 = 19. Let b(i) = -s + 0*i - 7*i + 2*i - i. Suppose 0 = o + 2*o + 15. What is o*b(t) - 4*q(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*t - 22*t = 132. Calculate the least common multiple of 15 and t.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 1:16 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -21*n**3 - 10*n**2 - 3. Calculate the remainder when s(-2) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1756086 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -85?  (a) -51539  (b) -4  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 141, 133, 123, 111, 97, 81, 63?\n\"Answer: -m**2 - 5*m + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 278749 is divided by 45.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -746, 1, 19 in increasing order.\nAnswer: -746, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1956 and -2558607015.\nAnswer: -2558605059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(0 - (-3)\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0242873 to 4 dps.\nAnswer: -0.0243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of -98*z**3\/3 + 56*z**2 - 32*z + 3. Determine r, given that q(r) = 0.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 131443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -4. Let d(f) = f - 12. What is 6*d(a) - 17*m(a)?\nAnswer: 6*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 79 - 76. Suppose -5 = 5*v + g - 2, -v + 15 = -5*g. Solve 3 + v = -j*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -278, -2\/11, -0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 2*y - 964 = 0, 5*y + 1631 + 295 = -4*m. Let q = m - -625. What is the greatest common divisor of q and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-27)\/(-6) + (-7 - -3))*-492. Let i = 87 - h. List the prime factors of i.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10184.8 rounded to the nearest 100?\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v + 4*v - 60. Let p = -1.02 - -0.02. Which is the third biggest value?  (a) p  (b) -1\/4  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 95 + -91. Suppose -h*p + 506 = 2*l, -5*p + 2*p + 412 = -5*l. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(-3))\/(((-38)\/342)\/(17\/3))\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*c**3*t*z - 1518869*c**3 + c**2*t - 56266*t*z wrt z.\nAnswer: -4*c**3*t - 56266*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3100870.3 rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -30.18?  (a) -0.4  (b) 4\/7  (c) -5  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x - 243797 = 4*x + 5*d, -3*x + 182809 = 4*d. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -124ec (base 15) to base 14.\nAnswer: -17465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (11 + 9 - 0)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -196ba03 + -4?\nAnswer: -196ba07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) -0.2  (c) 2  (d) -1\/4  (e) -90\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4715\/4 - -1179. Let o = -31.4 + 31. What is the closest to o in -1\/3, q, 1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r**5 + 6*r**5 + 0*r**5 + (-5 + 5 - 6*r**3)*(3*r**2 - 4*r**2 + 0*r**2) - 1490*r**3 + 2 + 5*r**2 + 3*r**5 - 5*r**5 + 1488*r**3.\nAnswer: 12*r**5 - 2*r**3 + 5*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(4*(1 + sqrt(117) + -4) - (2 + (sqrt(117) - sqrt(117)*2) + (sqrt(117) + 2)*3))**2.\nAnswer: -960*sqrt(13) + 3472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -16*a - 163. What is o(-21)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 10*m - 2. Let b(a) = 9*a**2. Calculate b(v(o)).\nAnswer: 900*o**2 - 360*o + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 370*f = k + 362*f + 6, 2*k + 5*f - 30 = 0 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2213651579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**1)\/((j*j**(-7)\/j)\/j)*(j**(2\/5))**(-1\/49) assuming j is positive.\nAnswer: j**(2448\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 558656 divided by -1\nAnswer: -558656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2144298?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1278677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -116*b**2 - 2 + 146*b**2 + 2 + 105*b**2.\nAnswer: 135*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 379040 is divided by 3790?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 135.9 - 136. Which is the nearest to -1?  (a) 0.3  (b) -0.09  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -31 + 33. Solve 5*c - 2*h = -33, -3*h = 4*c - p*c - 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 + -20001211122?\nAnswer: -20001211121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -6*w + 64. Let g be n(12). Let o be (-8 - g) + (3 - 3). Which is bigger: 3\/65 or o?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 60 = -1788. Suppose -5*p + t = 77. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 580934 is divided by 116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zj when two letters picked without replacement from nzczjff?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 2*x - a, -x - 38*a = -41*a - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (0 - (14 + -8)) + 13 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -3*t + 23, 4 = -2*t + c + 20. Are 8 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 1 j when three letters picked without replacement from gxgjgegggexg.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a*(a*a\/a**6)\/a*(a**(2\/3)\/a)\/a*(a**(-1)\/a*a*a)**12)**(-12))**(1\/48) assuming a is positive.\nAnswer: a**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - 1 = -61*f + 62*f, s + 79 = 20*f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 3. Let q = -15 + 7. Let d = w - q. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 174*p = 165*p + 45 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 2*j + 34. Let y be 1 + (-2 - 24\/(-4)). Let s = y + -12. Is 5 a factor of n(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of 11*o**5 + 77*o**3\/3 - 11. What is the third derivative of y(k) wrt k?\nAnswer: 1320*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 48 = -4*g, -2*g = -d - 1 - 23. Calculate the remainder when 94 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3942848088.\nAnswer: 2, 3, 31, 1766509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.6, 1\/5, -5, 3, -929, -0.5 in increasing order.\nAnswer: -929, -5, -0.6, -0.5, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c = -9*k - 16, -31*k + 33*k + 8 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 208*c + 9714. What are the prime factors of i(29)?\nAnswer: 2, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -56887\/3219 - -6\/1073. Let c = -103\/6 - r. What is the second smallest value in 16, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 639468 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 6. Suppose 2*c + w*q = -2, -3 = 3*q - 0*q. Suppose c*y + 2*y = 32. Round y to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5577 and 338?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, -1, -10, -35, -82, -157?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1918*b - 1910*b - 37*b**3 - 1914*b + 5744*b.\nAnswer: -37*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/155736 and -19\/138432.\nAnswer: 1245888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14284.09 + -14196. Let p = b + -89. Round p to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.196658 years to months.\nAnswer: 2.359896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/17  (b) 2\/17  (c) 4\/9  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sbmbbsbqq. Give prob of picking 1 m, 2 s, and 1 q.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 33350912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55700 - 55700 - 6*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -556*g + 311 = 16991 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from roova.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 183673717?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r + 11*r = 144. Suppose -3*o + 18 = -3*z, r*z - 12*z = -5*o + 34. Solve 36 = -j + o*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.1 and 4253760695.\nAnswer: 4253760695.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 15) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18320904.\nAnswer: 2, 3, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**2 - 10*w + 8. What is s(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, j: 1, v: 1, z: 1, i: 5, x: 3}. Give prob of sequence zvdi.\nAnswer: 1\/2376","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 534*g**2 - 41120*g + 154.\nAnswer: 2*(g - 77)*(267*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 69777, 69823, 69869, 69915, 69961, 70007?\n\"Answer: 46*g + 69731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/((-48)\/(-8))*1*3\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00006863 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -851 + 1254. Let g = n - 375. Let b(i) = i**3 + 6*i**2 + i - 4. Let z be b(-5). Solve -4*t + 4*a = 5*a + z, g = -4*t + 2*a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**3 - 3*g**2 + 6*g - 7. Calculate the remainder when 21 is divided by s(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*t + 2376 = -744. Which is smaller: t or 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2913 + 2912. Put j, -5, -10, 1, 9 in decreasing order.\nAnswer: 9, 1, j, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*r**3 + 3*r**4 + 5*r**3)*(-28 - 536 - 569 - 202 + 204 - 781).\nAnswer: -5736*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -301, -307, -325, -361, -421, -511, -637?\n\"Answer: -y**3 + y - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes after 5:25 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*r**3 + 2 - 2 + 4*r**3 - 4*r**3 + 3*r**3 + (-25 + 25 + 5*r)*(-4*r**2 - 8 + 8).\nAnswer: -19*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v + 3*c - 36831, 64*v + 2*c - 49112 = 60*v. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2*u + 3)*(-7*u**2 - u**2 + 2*u**2) + (u**2 - 669*u - 5 + 15 + 668*u)*(-3*u + 4*u + u).\nAnswer: 14*u**3 - 2*u**2 + 20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 9\/45 + (-28)\/(-10). Let 2 - s*t + 2*t**5 - 6*t + 3*t + 4*t**3 - 6*t**4 + 4*t**2 = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 2, o: 1, y: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-1245)\/45)\/((-4)\/(((-30)\/(-21))\/5)) and 10\/(-3) + 4\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the second derivative of 13*u**3\/3 - 10*u**2 + 28*u. Differentiate y(m) with respect to m.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 312bc (base 15) in base 3?\nAnswer: 21220211020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 1480, -1\/4, -414?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 779 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4435325 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + k - 6 = 0. Let w(r) be the second derivative of 0*r**k + r**2 + 2*r + 0 + 1\/12*r**4. Differentiate w(a) with respect to a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 4 = g, 3*g - 22394 = -r - 22414. Let 3\/2*z**r + 307\/2*z**2 - 53\/2*z**3 + 147 - 623\/2*z = 0. What is z?\nAnswer: 2\/3, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -151.48873542 + 189.4887362. Let g = -38 + b. What is g rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7874072.\nAnswer: 2, 73, 97, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 219\/2 - 437\/4. Let z = -5 + 12. Which is the closest to m?  (a) -5  (b) z  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/37?  (a) -0.2  (b) 4  (c) -0.3  (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -18.78 + -0.22. Let k = -19.0000065 - r. Round k to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:48 AM and 7:11 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xizqg. Give prob of picking 1 i, 1 x, 1 z, and 1 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -4985 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34527*b = -68860*b + 34419*b + 4214 for b.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 15*n**5*y**2 + 5*n**5*y - n**2*y + 3*n*y**2 + n wrt n?\nAnswer: 900*n**2*y**2 + 300*n**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 101*o**3 + 4*o**2 + 2*o + 2. Let m(t) = -505*t**3 - 22*t**2 - 11*t - 11. What is 11*g(y) + 2*m(y)?\nAnswer: 101*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*m**5 + 3*m**3 - 15*m - 2 wrt m?\nAnswer: -140*m**3 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 918977 is divided by 2497.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 2*f + 21. What is q(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 (base 10) in base 4?\nAnswer: 21131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 623808?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from vvpvbvbpmpmzvppmzppp.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/15)\/(7\/((-175)\/(-20))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l\/(l*l\/(l**(2\/9)\/l)))*l*l**16*l)\/(l**(-3\/11)*l**16) assuming l is positive.\nAnswer: l**(500\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10793 - 10800. Suppose -v - 4*v = 30. Put r, -0.1, v in decreasing order.\nAnswer: -0.1, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**3 - 7*w**2 - 4*w. Let m(y) = -y**2 - 11*y - 6. Let d be m(-11). Give v(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*u**2 - u**2 + u**2)*(3 + 0 - 1)*(2*u - u - 2*u) + 0*u**2 - 10*u**3 + 0*u**2 to l*u + f + k*u**3 + o*u**2 and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 925.8744l in millilitres?\nAnswer: 925874.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12 - -13. List the prime factors of d\/(1 - 54\/57).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = q - y - 21, 2*y - 6 = 0. Suppose q*x - 8*x - 6 = 0. Calculate the smallest common multiple of 10 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y**5 + 224934*y**4 + 899700*y**3 - 449876*y**2 - 2699094*y + 2024334 = 0 for y.\nAnswer: -112463, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 5*((sqrt(833) - (sqrt(833) - (sqrt(833) + sqrt(833) + 1)))*3 + -2*(sqrt(833) + 0)))*1*1.\nAnswer: 18 + 140*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*i**2*x**3*z - 666*i**2*x**2 - 20*i**2*x*z - 2*i*x**3 - 30*i - 1273*z wrt i.\nAnswer: 6*x**3*z - 1332*x**2 - 40*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -36, -55, -88, -141, -220?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 4*b**2 - 7*b + 9. Let i(k) = 5*k**2 - 6*k + 9. Let y(h) = 6*f(h) - 5*i(h). Let p be y(-13). Let n = 1 - 3. Is n not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from rqqqqrqqqqr.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -54.864.\nAnswer: -54.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**5 + 129*v**4 - 5547*v**3 + 79507*v**2.\nAnswer: -v**2*(v - 43)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (2 - 0) + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -26.6 - -25.6. Which is the third biggest value?  (a) q  (b) 1\/7  (c) -1\/3  (d) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 16 = -4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**2 + n + 1. Let o(r) = 2*r**2 - 4*r - 1. Let q be 4*1 + (-2 - 1). Let x(s) = q*o(s) + 3*f(s). Factor x(w).\nAnswer: -(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*w**2 + 5*w**2 + 5635*w**3 - 5634*w**3 - 3*w**2 + 2*w - 1036 as i*w + k*w**2 + t*w**3 + r and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -157, -437, -897, -1531, -2333, -3297, -4417?\n\"Answer: r**3 - 96*r**2 + r - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77*b - 1785 + 241 = -270*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2257.7 rounded to the nearest ten?\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 627.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*n - 2 = -28*n. Let c(b) = -b + 2. Let a(t) = -24*t - 4. Let f(y) = n*c(y) + a(y). Let s(o) = -2*o. Determine f(s(l)).\nAnswer: 52*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 1\/4, -2\/7, 381, 6, -3\/5, 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 6*k - 12 = 0. Suppose k*a = -7*a + 363. Let p = a + 7. Calculate the highest common factor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes before 1:24 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 3*x + 3. Let g be v(-3). Let k = -2 - g. Let a(c) = -c**2 + 2*c + 8. Let o be a(4). Solve b - 3*u + 15 = o, u + k*u - 20 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.048 * -73.\nAnswer: 3.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11237 - -10103. What is the second biggest value in -1\/4, a, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17 - -30. Suppose b - 22 = c. Let n(p) = -p**3 - 10*p**2 - 11*p + 3. What are the prime factors of n(c)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 36964001 = 4*j, 58*q - 61*q = 3. Round j to the nearest 100000.\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 + 16. Suppose 4*o = q - 40, 0*o - o = 5*q - 116. What is the greatest common divisor of q and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.01, 2\/7, -0.5, 0.3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -777 + 1157. Calculate the highest common factor of 40 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + -4. What are the prime factors of (-3)\/((-6)\/20) - h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the third derivative of -p**6\/30 + 197*p**5\/60 - 63*p**4\/4 - p**2 - p + 334. Suppose o(g) = 0. What is g?\nAnswer: 0, 2, 189\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10*-2*1\/(-4). Suppose -2*n + 20 = 4*j + 2*n, -n = r. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -6*p**5\/11 - 84*p**4\/11 - 126*p**3\/11 + 240*p**2\/11 + 24*p - 288\/11 = 0.\nAnswer: -12, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2367.67482 - 2356.4748363. Let o = y + -11.2. What is o rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -90938277 by -1.\nAnswer: 90938277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = -0 + 3, -3*k + 3 = 5*t. Suppose 0 = 85*y - 105*y + 280. Suppose t = -y*i - 0*i + 112. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + 25 + (7 - 4) + (-4 - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.254?  (a) -0.4  (b) 4  (c) -5\/1122\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*o + 3*n = -19*o + 39, o = n - 2. Find p, given that 1331\/7 + 363\/7*p + 1\/7*p**o + 33\/7*p**2 = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*f**4 + 91*f**3*y**2 + f*y**2 - 263*y**2 wrt f?\nAnswer: -36*f**2 + 546*f*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-2)*n*n\/n**0*(n*n*n\/(n*n**0)*n*n)\/n**(-11) assuming n is positive.\nAnswer: n**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 163 + -161. Suppose g + f = -1 - p, 2*f = 0. Let r be 10\/(-4)*12\/40. Put r, g, 0.28 in descending order.\nAnswer: 0.28, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-408)\/(-4) + 2 + -2. Let q = p - -46. What is the third derivative of -5*b + q*b**2 + 5*b - 100*b**2 + b**6 wrt b?\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes before 1:59 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k + 721*o = 720*o + 8, -5*o = k + 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35032024?\nAnswer: 2, 4379003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiwiwiiiiiwiiwiw. What is prob of picking 1 w and 2 i?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9.03 + -5.03. Which is the biggest value?  (a) o  (b) 1  (c) 5  (d) 3.3  (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*z - 32*z + 4104. What is the remainder when z is divided by 66?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -23023 + 551?\nAnswer: -22142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2162401*b**3 - 55517875*b**2 wrt b?\nAnswer: -12974406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -32\/7, -5, 4 in decreasing order.\nAnswer: 4, -32\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 150*(-11 + 17 + 9\/(-2)). Suppose q + q - t = -w, 3*w + 445 = 4*q. What is the highest common factor of q and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - 2100101210?\nAnswer: -2100101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes after 8:51 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 20c - -201a?\nAnswer: 2226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uukux. What is prob of picking 3 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2283, 1669, 1045, 405, -257?\nAnswer: -947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5.987 in -11, 0.3, 0.04, 0.01?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (307*b + 547 - 547)*(1 - 2 + 3)*(5*b - b - 2*b) in the form r + y*b**2 + x*b and give y.\nAnswer: 1228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f**2 + 9*f + 14. Let s be t(-7). Suppose 7*a = -s*a + 161. Let m = a - 13. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 3*s**2 - 6*s + 1. Let l(a) = a**2 + a. Give h(d) + 6*l(d).\nAnswer: 9*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 + 6fdf?\nAnswer: 6fe3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1312?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 232 and 2779724?\nAnswer: 161223992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 114611.\nAnswer: 7, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 411973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 83224\/5 + -673061\/40. Let z = -1485\/8 - q. What is the common denominator of -109\/22 and z?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*i - 28*i + 149 = 4*s, -146*s - 58 = -147*s + 22*i for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -0.04, 3663.\nAnswer: -0.2, -0.04, 3663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10*z + 3*z + 11*z + 16*z)*(-8*z + 4*z + 8*z) in the form f*z + b + d*z**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**3 - 9*k**2 + 15*k - 4. Let d = -9646 - -9653. What is i(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 390 = 2*j - 5*s, 4*j = -s + 704 + 76. Suppose 791 - j = 4*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes before 1:16 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -16173227, -16173222, -16173217, -16173212, -16173207, -16173202?\n\"Answer: 5*i - 16173232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -17882, -17039, -16196, -15353?\n\"Answer: 843*d - 18725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -126 + 64. Let q = r + 94. Calculate the highest common divisor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19205*x + 18546*x - 37681*x.\nAnswer: 70*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes before 3:28 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 18 + -14. Let s be 34\/8 + (-2)\/8. What is the third derivative of -q*f**3 + s*f**3 + 3*f**2 - f**5 wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = -0*w + w. Calculate the remainder when w is divided by (5\/(-10))\/(2\/(-36)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-5 + 3)\/((-20)\/(-90)). Sort 4, b, -1, 1\/5.\nAnswer: b, -1, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 170*c + 1761. What is r(-11)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 191, 390, 579, 752, 903?\n\"Answer: -w**3 + w**2 + 203*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.4 - 0.4. Let m = -5.9 - -0.9. Let z = -5 - m. Which is the closest to z?  (a) 2\/5  (b) -3  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 44, 45, 46?\n\"Answer: n + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18.35*0.23.\nAnswer: 4.2205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 51*q - 55*q + 20 = 0, 5*q = -2*s + 24 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -84*a**2 + 81*a**2 + 2*a + 0*a to s + h*a + m*a**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 145 and 1595?\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h*(h\/(h*h**(1\/15)))\/h)\/h)**0*h\/h**(-21)*h**(4\/9))**(-32) assuming h is positive.\nAnswer: h**(-6464\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 (base 10) in base 8?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do 0.046 and 196830.9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -28308, -113257, -254802, -452937, -707656, -1018953, -1386822, -1811257?\n\"Answer: k**3 - 28304*k**2 - 44*k + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -170*i**2*m + 13*i**2 + 2*i wrt m.\nAnswer: -170*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4884478 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11496, 124, -2, -3, -1, 3 in decreasing order.\nAnswer: 11496, 124, 3, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -1890*q**2. Let y(l) = 1422*l. Determine y(n(h)).\nAnswer: -2687580*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1074 + -1076. What is the nearest to -4\/47 in 1\/6, u, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyytaay. Give prob of sequence yy.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2065823355.\nAnswer: 3, 5, 19, 7248503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 612662190 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 95 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 7, g: 7}. What is prob of picking 2 u?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -5, -3, -2937, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 95 = -35*o, o + 9*r + 83 + 49 = -0 + 23 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11.97 - 0.03. Let r = -13 - x. Are 15 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1*-1)\/((-5)\/40). Suppose -4*a = 5*t - 0 + 8, l = -2*t. Suppose 7*w - a*w = 4. What is the nearest to -2\/5 in -0.5, 0.4, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -161.2881 rounded to 2 dps?\nAnswer: -161.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 259318630 to the power of 1\/3, to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2240393.\nAnswer: 419, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -8*a. Let g(k) = 2174 - 2174 - 23*k. What is 3*g(j) - 8*z(j)?\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/11  (b) 44961  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.00767 - 0.00767. Let o = 24 - 25.1. Let k = o + 0.1. Which is the nearest to k?  (a) 4  (b) t  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + 2*y = 4*c - 10, 0 = -c + 5*y + 18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 + (-41 + 25 - -8)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1, 10, -4, -5, -8 in decreasing order.\nAnswer: 10, 1, -1, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 234 is divided by 61.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.5 in -4, 0.4, 7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -20*z + 31*z - 99 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, o: 5, t: 4, n: 4}. Give prob of picking 2 g.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1824 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.1 + -2. Let p be ((-1)\/(-11))\/(1644\/3288). What is the third smallest value in p, q, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 - 4. Let q = 1 - l. Find the third derivative of w**4 - w**4 + 2*w**2 - w**4 - q*w**2 wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 507 and 195.\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 34 + -34. Let f be -2 - ((2 - t) + -6). Suppose -f*j = -0*j - 104. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -1585*j + 6397. Is m(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -238110 - 98890 - 49702 = 8739*d + 146377 for d.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 24b0 (base 12) in base 15?\nAnswer: 1379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-156)\/(-91) + 72\/(-42). Let 2\/3*a + c*a**2 - 2\/9*a**3 + 4\/9 = 0. Calculate a.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5292961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6.23 + 6.43. What is the closest to 0 in -0.5, s, 35, -8\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -2*b + 6. Calculate the greatest common factor of b and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -1.2, -10, -34, -0.08 in ascending order.\nAnswer: -34, -10, -1.2, -0.2, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-630)\/(-147))\/((-33)\/(-77))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26 - 70 + 1159*l + 44.\nAnswer: 1159*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*y**4 + y**4 - 5*y**4 + (-2*y**2 + 3*y**2 + 0*y**2)*(0*y**2 - 3*y**2 + 7*y**2) + 5*y**4 - 2*y**4 - 2*y**4 + 5*y**4 - y**2 + y**2.\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 284621 (base 14) to base 6\nAnswer: 45523021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 17931985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 4*v + 4. Let i(z) = -2*z**2 - 10*z. Let o be i(-4). Let n(l) = 12*l + 11. Give o*h(f) - 3*n(f).\nAnswer: -4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1005 + -4?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1844)\/(-13360) - 2\/5. Let i = 2\/167 + t. Suppose -224 - 6 = -46*m. Which is the nearest to m?  (a) i  (b) 0  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 1681209*r + 62204729. What is l(-37)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 182131 - 69474 = 3*j, -2*v = 2*j - 75102. What is the ten thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1106 + -657. Suppose -5*s - r = -3009. Suppose -4*a + 1684 = s. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7 + 0 - 3)*((5*w - 8*w + 0*w)*(-9 - 2 + 1) + (-2*w + w + 0*w)*(2 - 2 - 1)) to r + o*w and give o.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -213270 by 6.\nAnswer: -35545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1625 + 0?\nAnswer: -1625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 + 8 = -5*s. Let m(z) = 27*z - 23. Let l(h) = -13*h + 11. Let w(k) = s*l(k) - 6*m(k). Differentiate w(d) with respect to d.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m - 3. Let j be n(6). Solve 7 = j*g - 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.174419 to three dps.\nAnswer: 0.174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*u + 372 = 102 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 128\/68*(-2129)\/(-17032).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*f = -0*f - 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8000 and 2296800?\nAnswer: 22968000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -11925, -12366, -12805, -13242, -13677, -14110, -14541?\n\"Answer: i**2 - 444*i - 11482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -88 - -982.\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1c (base 13) to base 10.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 553.276 + -549. Let j = 0.276 - a. Put j, -4\/5, -5, -0.1 in descending order.\nAnswer: -0.1, -4\/5, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -516, -762\/31 in ascending order.\nAnswer: -516, -762\/31, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 + 4. Let a = -35 - g. Let u = -33.0000122 - a. Round u to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 9323*i. Let r(u) = 16*u. Give q(r(n)).\nAnswer: 149168*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -6.3. Let h = -0.3 + n. Suppose 3*k + 24 = 12. Which is the third smallest value?  (a) k  (b) h  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -4*q**3 - q - 1. Let o be c(-1). Suppose o*l = 8 + 12. Solve 10 = -l*z + 4*m, 0 = -5*z + m + m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.9 + 0.1. Let i(u) = -u**2 + 2*u - 3. Let h be i(2). Let f = 63 + -63.5. Which is the nearest to l?  (a) f  (b) 3  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*y + 0*y - y)*(0*y**3 - 3*y**3 + y**3)*(-1 - 8 - 2) to the form r + w*y + n*y**3 + q*y**4 + a*y**2 and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 179 a factor of 606408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11583 and 11583.\nAnswer: 11583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 1407*d**3 + 5*d**2 + 21 - 1406*d**3 - 3*d + 4*d. Let y be n(-6). Put 5, 2, y in increasing order.\nAnswer: y, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -5*l**3 + 2*l + 1. Let s(r) be the second derivative of -r**3\/6 - 3*r**2 - 3*r. Let b = -33 - -28. Let w be s(b). Give t(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -37.01 to 1 decimal place.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 687 a factor of 596847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*w - 2*w + 0*w)*(304*w + 119 + 55 - 302*w + (4*w - w - 5*w)*(4 + 1 - 3)) in the form n*w**2 + x + m*w and give m.\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -40\/153 - -2\/51. Let b = -913\/2828 + 15\/404. Put b, t, -4 in decreasing order.\nAnswer: t, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17097*b - 17093*b + 34183*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 - 7*d**2 - 9*d + 8. Suppose 8*y - 10*y + 16 = 0. Let i be v(y). Is i equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is cbe (base 15) in base 9?\nAnswer: 3848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1352268106?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m, -s + 5 - 11 = -5*m. Let x be 8\/(2*(3 + -2)). Let o(r) = 6*r**2 + 4 + r**2 - 2*r**2 + r**3 + 0*r**3 - x*r. What is o(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4633, 14614, 24595, 34576?\nAnswer: 44557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 0.3  (c) 15\/53  (d) -0.2  (e) -67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = -25, 5*b - 7 = 3*o - 44. Suppose -3*d + o = -14. Let u(l) = -l**3 + 7*l**2 - 6*l - 7. What is u(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3080179\/7 - 441689. Let o = -210397\/126 - f. What is the common denominator of o and (1507\/440 - 3)\/(3\/25)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1892.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -583, -3444, -6305, -9166, -12027?\nAnswer: -14888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 97, 96, 95, 94, 93?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -235928070 by 434490.\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -v + 3*v, -3*v = 5*k. Suppose -2*u + 3*u - 5*g = 0, -4*u + 18 = -2*g. Suppose 8*m - 6 = u*m. Solve z - 1 = -a + m*z, -k*a + 8 = 2*z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**4 - f - 1. Let t(y) = 3*y**6 - 2*y**4 - 17*y**2 + 2*y + 2. Let x(w) = -2*j(w) - t(w). What is the third derivative of x(q) wrt q?\nAnswer: -360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (23 - 12) + (-3 - 5) + (2 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(-23)*u)**(-4) assuming u is positive.\nAnswer: u**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 52886, 106063, 159226, 212375, 265510, 318631?\n\"Answer: -7*z**2 + 53198*z - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -331*h**4*v**2 + 192*h**3*v**2 + 107*h**2*v + 441*h**2 + h*v**2 + v wrt h.\nAnswer: -7944*h*v**2 + 1152*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -41334 divided by 6889?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*u + 2 - 4 - 5 + 5*u + 2*u.\nAnswer: 9*u - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 7*l**2 - 156*l + 28. Determine t(22).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9e (base 16) to base 5.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/23299 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 17 = 3*b, 0*x + 5*b = x + 24. Let p(z) = -2*z**2. Give p(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the third derivative of l**9\/252 - l**7\/210 + 9*l**5\/20 - l**4\/24 - 2*l**2 + 15*l. What is the third derivative of c(i) wrt i?\nAnswer: 240*i**3 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kz when two letters picked without replacement from {f: 5, b: 3, z: 1, k: 1, v: 2, d: 1}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sooo when four letters picked without replacement from {s: 3, o: 4, i: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 9 - 33 + (-5 + 2 + 2)*(-1 + 3 + 0))*(2 - 4 - 1)*(2*k**3 + 1 + 427*k**2 - 427*k**2).\nAnswer: 174*k**3 + 87","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 801.3582262 rounded to one dp?\nAnswer: 801.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 2*d + 12, -2 = d - 1. Suppose 5*n - 4*n = -5, 811 = 3*g - o*n. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - 9. Let d = 30 + -452\/15. Let n = 0.16 - -0.14. Which is the second biggest value?  (a) d  (b) v  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -4*q. Let v(p) = 3 - 3 + 11*p. Let s(g) = -17*d(g) - 6*v(g). Give s(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-16)\/16)\/(2*(5 - 8)). What is the biggest value in i, 15, 1\/4, -4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**2 + 49*h - 506. Calculate c(9).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1341935637?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 7  (b) -1\/2  (c) 6  (d) 0.4  (e) -1\/5  (f) -98\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*l + 3*l + 888*l**2 + 287*l**2 - 4*l**3 + 2*l**3.\nAnswer: -2*l**3 + 1175*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24550126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*s - 28*s - 10*s.\nAnswer: -29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -3*o + 66, 2*o + 0*o - 2*a - 42 = 0. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 129889 is divided by 64490?\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 129587605 and 245?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 6*c**2\/13 + 110108*c\/13 - 73408\/13 = 0.\nAnswer: -18352, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*q - 2 - 13*q + 1 + 3 - 4*q**3.\nAnswer: -4*q**3 + q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1150 and -0.05?\nAnswer: -57.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 - 11. Let u(a) be the first derivative of a**3\/3 + 7*a**2\/2 - a - 1. Calculate u(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 294*m - 2 - 277*m + 1985*m**2 - 1998*m**2 + 7 in the form t + k*m + v*m**2 and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-9)\/(-2)*((-333)\/54 + 6). Is 21 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = -4*b - 4. Suppose -b*y + 28 = 4. Let k be (-9)\/(-1 + (5 - 7)). Solve -k*g + g + y = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 4*l - 33 = 0, 3*a - 4*l - 23 = -8*l. Let p(t) = -a*t + 5*t + 4*t**2. Let s(n) = 5*n. Let o(j) = -3*j. Let c(b) = -3*o(b) - 2*s(b). Give c(p(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**3 - 21*c**2 + 22*c - 41. What is l(20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 245 - ((-1)\/(-4) - (-54)\/(-24)). Suppose -7*t + x = 12*t. Suppose 22 + 14 = 2*z + 3*k, 2*z + 5*k = 44. Which is smaller: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1563499566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.45 rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -2120*r - 13. Let z(g) = -708*g - 5. Calculate 4*h(k) - 11*z(k).\nAnswer: -692*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q = 6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2268) + 2 + sqrt(2268) + 5)**2 + ((-1*sqrt(693))\/sqrt(11) - (sqrt(5103) + (sqrt(5103) - (sqrt(5103)*-2 + sqrt(5103))))**2).\nAnswer: -36806 + 501*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vnnmxnxxvn. What is prob of picking 1 m and 2 n?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 336941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20, 86, 196, 350, 548, 790?\nAnswer: 1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -23a045d (base 14) in base 10?\nAnswer: -17057571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 - 2220?\nAnswer: -2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*-1*(-6)\/(-6)*20\/75?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 40 = -s + 5*y, 0 = -2*s - y + 4. Suppose s*p + 9 = 3*r, r + 8*p = 3*p + 22. Suppose -4*q + r = -21. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 293040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -454 divided by 15634.\nAnswer: -227\/7817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 468 + 469*m**3 - 663 + 195.\nAnswer: 469*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 200 + -578. Let j = l + 381. Solve 2*a - j = -1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from dadddaddddddadaaadd?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 - 50\/(-24))\/(1 - -1). Let k(f) be the third derivative of f**2 + 0*f**3 + p*f**4 + 0 + 0*f. Calculate k(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3109 + 350127 + 305428 = -6348*k + 119214 for k.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 3*g - 1 = 13, -n = -4*g - 10. Let h(r) = r**2 - 26*r + 5. Let q be h(n). Solve -3*t = -q*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -2*p**2 + 5*p + 4. Let n be u(4). Let k = 12 + n. Let l = 17\/94 + -2\/141. Which is the third biggest value?  (a) 11  (b) l  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - -4. Suppose w*s + 34 = 9. Let o(q) be the first derivative of -q**3\/3 - 2*q**2 - 7*q - 1. Calculate o(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10241 + 10249. Let c = 1 + -1. Put c, -2, j in descending order.\nAnswer: j, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*s**4 - 17923*s**3 + 2*s - 43286?\nAnswer: 60*s**2 - 107538*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 52 + -51.9999969. What is t rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -70 + 75 + 2 + -13\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(((sqrt(4719)*-1 + sqrt(4719))\/(sqrt(528)\/sqrt(11)))**2 + -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13855*q + 128*q**3 + 6923*q + 6922*q + (-3 - 2 + 3)*(2*q**3 - 4*q**3 + 3*q**3) to h*q**3 + g*q**2 + m*q + x and give h.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -126987 or -126661?\nAnswer: -126987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (816\/132)\/17*-11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -9*g - 72. Let y be i(-8). Let p = 1\/24 + -77\/120. Let z = 0.2 - -0.3. What is the nearest to -2 in p, y, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 m, and 1 a when three letters picked without replacement from mmyha?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 3*q = -45. Suppose 5*i + 23 = 4*y - 3*y, -3*y - 5*i + q = 0. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 - -3. Let h = -27063 - -27065. What is the remainder when h is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -1 + (68 + -63 - (6 + 18))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 8*b**2 + b + 96163 - b**3 + 11*b**2 - 96182. What is i(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1210 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1068718 and 106306.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1610 and 125.\nAnswer: 40250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 62*v**3 - v**2 + 3*v - 1. Suppose 3*t = -11 - 49. Let l = t + 22. Is s(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {o: 2, y: 11}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 211 - 93. Let r = s + -117.9969. Round r to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -24122729*g**2*w**2 - 21*g*w**2 + 7*w**2 - 190*w - 3 wrt g?\nAnswer: -48245458*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -0.952  (b) 3  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -520303 divided by -1\nAnswer: 520303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*f**3*g - 23*f**3*h + 36*f**2*h - 185601*f*g*h**3 - 3*f*g*h + 14*f*h**3 - 12*h**3 wrt g.\nAnswer: 6*f**3 - 185601*f*h**3 - 3*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -7 + 2 + (-3 + (72 - 4) - 15)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:43 AM and 1:05 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 61\/2 of a millisecond?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**2. Let t(x) = -7*x**2 - 4*x - 4. Let y(q) = 36*q**2 + 21*q + 21. Let r(c) = 21*t(c) + 4*y(c). Give r(h(b)).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -5*d**3 + 5*d**2 + 4*d + 8. Let x(r) = 4*r**3 - 5*r**2 - 3*r - 7. Suppose -2*y = 2*t + 238 - 246, -4*y = -5*t + 38. What is t*x(q) + 5*f(q)?\nAnswer: -q**3 - 5*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.21 + 0.01. Let p = 2 + 0. Let d = -1 + p. Which is the nearest to -1?  (a) 0.4  (b) d  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -87*l**2 + 46*l**2 + 23*l**2.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from {n: 3, z: 1, f: 5, p: 1, b: 5}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 662740477?\nAnswer: 7, 94677211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*m + 58*m**2 + 0*m.\nAnswer: 58*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -25 + 19 - (-3 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -115, -233, -363, -511, -683, -885, -1123?\n\"Answer: -z**3 - 111*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 78 - -484. Suppose -2*o + 4*u = -220, -u - 3*u - m = -5*o. What is the remainder when o is divided by 49?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-9)\/27)\/((-2)\/90). Let y = 1 - -1. Suppose -t = -y*q + q. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*-1678.\nAnswer: 6712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -28 - -30. Suppose -c*p + 3 = b - 1, -p + 5*b = 20. Let v be 3 - (1 + p + -3). Solve -2*y + 4*y - 2 = v*n, 3*y - 3 = 5*n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 + -ba5?\nAnswer: -ba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 155 + 0*2\/6. Is f - 1\/(3\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 212 + -196. Solve -4 = i*z - 14*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-441)\/(-99) + (-24)\/(-44). Suppose -32 = -5*x + x. Let l(p) = -p**2 + 9*p - 5. Let d be l(x). Solve -4*i = -d*n - 16, -m*n = 4*i - 6*i + 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44)\/sqrt(4))**2 + 4 - (sqrt(308)\/sqrt(7))**2.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -9151.915912911 - 13?\nAnswer: -9164.915912911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18) + (sqrt(36)\/sqrt(2) + sqrt(18))*-1)\/(sqrt(252)\/sqrt(7) + sqrt(9)).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29377 - 14664 - 2*s - 15039.\nAnswer: -2*s - 326","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 30143120 (base 6) in base 11?\nAnswer: 533247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.7 + 0.0397.\nAnswer: 0.7397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes before 12:23 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*w = 277*w - 1664 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.071155 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) -0.3  (b) -11  (c) -0.1  (d) -4\/7  (e) 260\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + -8751e?\nAnswer: -87520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -3551030 (base 6) to base 12\nAnswer: -8b476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 4609725499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 228 times 0.1555851\nAnswer: 35.4734028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4844972 by 220.\nAnswer: -110113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3837471216?\nAnswer: 2, 3, 79947317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.0366 - -534.9634. Let r = c + -534.95. Which is bigger: 1.2 or r?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -400*x. Let n be m(-1). What is the common denominator of (-1 - 16\/(-6))*2808\/n and 48\/119?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4\/145 + 3\/290. Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 58436 and 12.\nAnswer: 175308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 3*g - 47, 159 = 3*r - g + 18. Does 30 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13071 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2760 - -2762. Let j(l) = 4*l + 2. Let a be j(6). Suppose u*z - a = -4*y, 0*y = 3*y - 15. Solve z*p + 0 = 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:03 AM and 5:03 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 60*g + 216. Let b(v) = 34*v + 108. Let o(x) = 5*b(x) - 2*m(x). Give o(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s**4\/5 - 38*s**3\/5 - 12*s**2 + 2656*s\/5 - 512 = 0 for s.\nAnswer: -8, 1, 10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 5082332 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 1 = 2*h, h - 2*g + g = -2. Put 2, h, 71 in increasing order.\nAnswer: h, 2, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 497 a factor of 363804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-166)\/4)\/((-5)\/10). Suppose 3*v + a = r, 3*v - 3*a - a - 103 = 0. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9 + (-114)\/(-12))*-3\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 10*l - 8*l - 1178 = 0, -x + 250 = -2*l. Calculate the highest common factor of 182 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -10*k**2 + 4834*k + 500190. What is v(571)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10 - (-16 + -3)) + (-20 - -16) + -9.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4115910167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -307982, -2463626, -8314674, -19708832, -38493806, -66517302, -105627026, -157670684?\n\"Answer: -307951*d**3 + 4*d**2 + d - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26131 is divided by 2372.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t\/(t\/(t**(-2\/5)*t)))**23*(t*t*t*t\/(t*t*t**(-2)*t)*t*t)**(-16)*(((t\/(t\/(t\/t**4*t)))\/t)**42)**(-2\/99) assuming t is positive.\nAnswer: t**(-2236\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 852, 850, 842, 822, 784, 722, 630, 502?\n\"Answer: -k**3 + 3*k**2 - 4*k + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the second derivative of 0*y**4 + 0 + 1\/6*y**3 + 0*y**2 - 2*y + 3\/20*y**5. What is the second derivative of v(w) wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-3 + -1 + sqrt(242) + -1) - (sqrt(242) + 5 + sqrt(242)*2 + 2)**2*5.\nAnswer: -11115 - 2354*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 67, 437, 1433, 3367, 6551, 11297, 17917, 26723?\nAnswer: 38027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 - 1*7*(-8 - -7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22727632 to the nearest integer?\nAnswer: 4767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 0 + 54*a**2 - 53*a**2 + a + 1. Let b(n) = 22*n**3 + 2*n**2 - 30*n + 2. Let j(w) = b(w) - 2*o(w). What is the second derivative of j(f) wrt f?\nAnswer: 132*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -5*w + 17. Calculate x(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 229149084.7 to the nearest ten thousand.\nAnswer: 229150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u - 436 - 264. Suppose 56*h = 53*h - 4*v - 87, -3*h - 69 = -2*v. Let b = h + u. What are the prime factors of b?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 42 and 1050?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 119 + -163. Which is smaller: -2\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1921 (base 13) to base 12\nAnswer: -2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 594 + -598. Let x be (-3 - -6)*i\/(-9). Factor 2\/3*m**4 + x*m**2 - 2*m**3 + 0 + 0*m.\nAnswer: 2*m**2*(m - 2)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the second derivative of -d**5\/20 + 7*d**4\/12 + d**3\/2 - 5*d**2 - 3*d. Let m be s(-10). Suppose -m = -j - j. What is j rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -310942479 and -3.\nAnswer: -310942482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 308 = -2*h - q, -5*h + 704 = -4*q. What is the greatest common factor of 96 and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjhjhsjhjjhsjjjhh. What is prob of sequence jhsj?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8209 rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1 and -4081?\nAnswer: 4080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 73\/31 or 576\/5?\nAnswer: 576\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggqggqgqgggggggqgggg. What is prob of sequence gqq?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 10\/(-25)*(2\/7)\/((-76)\/133)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 - -10. Suppose -i*z + 6 = -9*z. Which is the smallest value?  (a) z  (b) 4  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1291.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*(-44)\/12*72\/(-99) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/1*(-13)\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 - 0 - (2 - 3). Suppose 0 = x*c + 2 - 14. Calculate the highest common divisor of c and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23401603 is divided by 116?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000066737 to seven dps.\nAnswer: -0.0000667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c = -5*x + 2*x + 3, -3*x - 2*c + 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**2 - y + 2. Let d be v(0). Suppose -3*u = 2*w - 256, -d*u - w = -0*u - 170. Calculate the remainder when u is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes after 3:30 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 752156 is divided by 496?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -810004, -1619710, -2429416, -3239122?\n\"Answer: -809706*t - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2753994.7 rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -998.2 + 168.2. Let f = -829.999487 - j. What is f rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y and 1 p when four letters picked without replacement from {y: 5, h: 2, p: 2}?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + 4 - 6) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 37\/((-2960)\/30)*-32?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 8, f: 2}. Give prob of sequence qqfq.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 139 - 139 + 604*s**2.\nAnswer: 604*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*s + 15 - 117 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11.8 - 12. Let j = -0.2 - f. Let s(o) = o**3 - 4*o**2 + o - 1. Let d be s(4). Which is greater: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9)\/(-4) + (-7)\/28 - -2. Let 17 + 24*s**2 + 34*s**3 - 6*s**b - 8*s - 8*s**5 - 13 - 4 = 0. What is s?\nAnswer: -2, -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -3*r**3 - 4 + 2*r**3 - 20*r - 12*r**2 + 3*r**2 + 8*r**2. Is 43 a factor of o(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -22*s + 1 - 1. Which is the third biggest value?  (a) 1\/6  (b) s  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*c + 8 + 2*c + 6 + 25.\nAnswer: -18*c + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -201*i + 403 = 291*i - 89 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 + 8. Find the second derivative of -17 + l*o**2 + 17 - 3*o wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*r - 341*r**2 + 385*r**2 - 203*r**2.\nAnswer: -159*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*z + 4*z - 2*l + 20, 4*l = 8. Differentiate 0 + 5*y**z - 2 + 1 with respect to y.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(240)*1)\/sqrt(8))\/(sqrt(216)*-1).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 15\/5 + 3*-1. Suppose -5*t = -2*u - 6021, o*t - 5*u + 2391 = 2*t. Let z = t + -640. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4224 - -4185 - (1 - 47).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -10*u**3 + 65*u**2 + 20*u + 39. Calculate t(7).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 2 + 0 + (1 - 1 - 2)*(-2 + 4 - 3))*(10 - 10 - 11*a + (4 + 2*a - 4)*(0 + 5 - 2)) to the form b + g*a and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 8*j + 239. Let d be g(-29). Solve -61*w + 54*w = -d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -116 + -9ad2e?\nAnswer: -9ae45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4, -0.3, -5, -12\/395, -0.16, -0.5, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/90 and -131\/120882.\nAnswer: 1813230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*u - 3*v, -88*u + 83*u = 2*v + 8. Suppose -2*f + f = y - 426, y - f - 424 = 0. Find the common denominator of ((y\/(-4))\/(-5))\/u and 15\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/3 and 107\/486.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3425*n**4*z**2 + n*z - n + z**2 + 13*z wrt n.\nAnswer: -41100*n**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**3 + 4*d**2 + 4*d - 1. Let p(k) = -k**2 - k. Let j(g) = l(g) + 5*p(g). Let z(h) = -7*h**3 + 6*h**2 + 7*h + 6. What is -6*j(u) - z(u)?\nAnswer: u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 25503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = q - 5*d - 30, q - 18 = 5*d. Suppose z - 9 = 2*b, 8 = 2*z - z - q*b. What is the highest common factor of z and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6300322 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y - 4*y + 10. Let l(r) = y*r - 9 - r**2 + 3*r**2 - 5 + 13. Let d be 5\/10 + 2\/4. Give l(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 7 = -2*c, -4*y - 2*c - 2*c = 12. Let o be ((-30)\/(-16))\/(y\/(-8)). Solve -3*h = -9, -f - 5*h = -o - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -32, -2, 216 in descending order.\nAnswer: 216, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-64)\/(-60))\/((-92)\/(-115)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-78065)\/(-25) + 6\/15?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 168320 is divided by 53?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 52.67818l in millilitres?\nAnswer: 52678.18","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Total of 3.2 and 366.\nAnswer: 369.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, k: 1, e: 1, r: 2, f: 1}. Give prob of sequence er.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63432 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1825 and 219?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/20 - 4\/10. Suppose 2*j + 2*p - 1548 = -p, 4*p = 16. Let q be j\/(-1320) - (-2)\/5. Which is the closest to m?  (a) q  (b) 0.4  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -127 + 1 - (4 + (36 - 61 - -2))?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*l + 33*l - 11*l = -141 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 18\/(-99) - 30810\/66. Let d = -450 - r. Solve x + 3*l + d = 0, 4*x = -l - 0 - 24 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 9344\/27 - (-15 - -18). Let o = 343 - n. Put o, 3, -1\/2 in descending order.\nAnswer: 3, o, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*y**2 + 3*y**2 - 11*y**2 + 26*y**2 to the form c + g*y**2 + l*y and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes before 3:07 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13 - -17. Is p greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 1488886492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 66531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-85 + 34 + 33 - 6 + 4 + 0 + (0 - 1 + 2)*(-3 - 1 + 6))*(y + y + y).\nAnswer: -54*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:21 AM and 4:03 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -3*x**2 - x**2 + 5 + 7*x**2 + 4*x. Suppose m - 4 = -i, 2*i = -9*m + 4*m + 8. Is k(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 37*p + 7. Let d(v) = -110*v - 21. Let o(i) = 6*d(i) + 17*y(i). Let r be o(-6). Let j = -100 + r. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -509.327 * 2.\nAnswer: -1018.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15.24 - 210.84. Let s = -196 - y. Which is the nearest to -4\/13?  (a) -1  (b) -0.1  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 3*o**2 - 4*o. Let w be p(4). Suppose 0 = 5*a + 10, -u + w = u + 2*a. What is the least common multiple of (-241)\/(-9) - (-8)\/36 and u?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 42*z + 172. Let k be b(-4). Solve -5*a = -5*y, -5*a + 24 = -a + k*y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2362 and 343970974?\nAnswer: 2362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -65201379*a*b**2 - 1197*a*b + 217*a - 59 wrt b.\nAnswer: -130402758*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 551 - 548. Solve 0 = -u, r + 0*r = -s*u + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 552 - -4c?\nAnswer: 5a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*i - 17*i - t - 15 = 0, 2*t + 26 = -5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -13538.76 plus -0.0582?\nAnswer: -13538.8182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -13*o**2. Let r(z) = -6*z + 4. Let x(q) = -11*q + 7. Suppose 0 = 3*j + 32 - 11. Let b(h) = j*r(h) + 4*x(h). What is i(b(t))?\nAnswer: -52*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.67 - -1.17. Let h = 36.11 - 8.11. What is the third biggest value in -2\/3, h, m?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 2*v**2 + 3*v - 7. Let g be k(-4). Suppose -3*x = 1 - g. Suppose x*j - j - 48 = 0. What is the third biggest value in -1, 0.1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = 9 + 9. Suppose i*u + 112 = 10*u. Suppose -6*q = -u - 218. List the prime factors of q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10*(-2)\/(-36))\/((-200)\/(-2240)*84)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v**4\/5 - 132*v**3\/5 - 5147*v**2\/5 - 12084*v + 13140 = 0 for v.\nAnswer: -73, -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*q + 15*q = -380. Let a = 7 + -42. Let d = -24 - a. What is the remainder when q is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 14914 - 14919. Let a(k) be the first derivative of -3*k**4\/2 - 2*k**3 - 2*k**2 - 6*k + 6. Let j(y) = 7*y**3 + 5*y**2 + 3*y + 5. Give v*a(r) - 6*j(r).\nAnswer: -12*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*x**4 + 2*x**2 - 1 + 4*x**2 + x**3 - 14*x**2 + 6*x**2 as m*x**3 + r*x + p + z*x**2 + b*x**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 30 + -88\/3. Suppose x - 2*x - 4 = 0. Which is the closest to q?  (a) x  (b) 1\/2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1*(0 - 2)*57\/38. Let b be (-59)\/c - (-5)\/15*-2. Calculate the greatest common factor of b and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 48\/26 - (-2)\/26*2. Solve -2*n = g*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 - 9. Let r be 3\/(-3)*2\/t. Let c = 0.25 - 0.05. What is the third smallest value in r, -1\/6, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the third derivative of k**7\/105 - 2729*k**6\/120 - k**5\/15 + 577*k**4\/12 + 2*k**2 - 2524*k. What is the third derivative of i(o) wrt o?\nAnswer: 48*o - 16374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2 + (14 - 4)\/(-5). Which is smaller: -1\/17 or a?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*6*(-10)\/(-240).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 182990 to the nearest one thousand.\nAnswer: 183000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 PM and 3:48 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 93\/152 and 73\/169736.\nAnswer: 3224984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhhhhhhhaha.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2*1\/(-2) - -35. Let l(r) = -38*r - 96. Let h be l(-7). Calculate the greatest common factor of h and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzppii. What is prob of sequence pii?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 8. Suppose 34 = w*x + 2*z, 6*x - 86 = x - 4*z. Suppose 0 = g - 5*g + 8. Calculate the highest common divisor of x and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 150015839, 150015837, 150015835, 150015833, 150015831?\nAnswer: 150015829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -12936\/76801?\nAnswer: -12936\/76801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1100414 or -1100420?\nAnswer: -1100420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*h**2*t**2 - 8061*h**2*t + h**2 - 2*t**2 - 313105 wrt t?\nAnswer: -6*h**2*t - 8061*h**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28218, -28215, -28210, -28203?\nAnswer: -28194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*t = 19*t - 3*s + 372, 496 = 4*t - 3*s. Let j be 1\/8*-2 - (-31)\/t. Solve -3*y - 3 = -j*x + 5*x, x = -y - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2993405 divided by 598681\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = -u. List the prime factors of (u - 51)*(-9 - 30\/(-5)).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 10, j: 3, f: 2}. What is prob of picking 2 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 1627 divide 13178700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*((z\/z**5)\/z)\/z*z*z*z*z)\/z*(z*z\/z**(-3))\/z)**1 assuming z is positive.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1002 + 121102101222102?\nAnswer: 121102101221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 763 in increasing order.\nAnswer: -5, -1, 763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f**3 - 240*f**2 - 243*f - 600. What is n(-119)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, e: 1, c: 1, d: 1, k: 1}. What is prob of sequence de?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/(l*l\/l**(1\/2)*l*l))**34\/(l**(-16)*l**(-5)) assuming l is positive.\nAnswer: l**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -q + 1. Suppose -q*x = -0*x. Let k be 8\/7 + -1 - 0. Is k > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = 3*f - 71 - 921, f = 5*c + 364. Let o be -4 + (1 + 0 - -2). Let h be (-3)\/o + f*3. What is h rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -26 - -26. Let u(a) = -3*a + 4*a - 5*a + t*a. Let c(z) = 5*z. Calculate c(u(g)).\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -75c4b (base 14) in base 4?\nAnswer: -1011211323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*c**2 - 2*c**2 + 9*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 1 - k + (5*k + 0*k - 3*k)*(-2 + 1 + 3) + (1 + 1 + 0)*(403*k + 513*k - 590*k) + 4*k + 3*k - k in the form n + b*k and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21457 is divided by 7151?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2 + -2 - (1 + 13). Let m = -21 - t. Let a = m - -11. Calculate the remainder when 23 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the first derivative of 27*b**2\/2 - 56. Let g(n) = -64 - 2*n - 65 - 62 + 191. Give o(g(y)).\nAnswer: -54*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes before 10:00 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(128\/(-385)) - (462\/96)\/77.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101000000 (base 2) in base 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2694\/49 or 54?\nAnswer: 2694\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = u - 42. What is the second derivative of 16*f + 0*f**3 - u*f - f**3 wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 4*p**2 + 14*p + 6. Does 13 divide a(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -26 - -30. Suppose -5*z - 15 = 0, o*n - 25 = z - 6. Suppose 0 = 3*p - 2*p - n*p. Solve r - 6 + 1 = p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 119 = 5*j + 3*r - 195, 0 = 5*j - r - 302. Suppose j - 57 = o. Suppose -o*x + 347 = -677. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47116129 a multiple of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i, 1 z, and 1 p when four letters picked without replacement from zppii?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 455822034.08999833 - 455821837.09. Let n = m - 197. Round n to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2252 (base 6) to base 9\nAnswer: -655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.350663 rounded to 3 decimal places?\nAnswer: -4.351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 9*c**3 - 7*c**2 + 2*c - 7. Let a(n) be the second derivative of n**2\/2 + 7*n. Let b(w) = 6*a(w) + z(w). Is b(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 171737*g - 141104*g - 812062*g.\nAnswer: -781429*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -301*i**2 - 36*i**3 + 753*i**2 - 18*i - 457*i**2 in the form j*i**2 + k + m*i**3 + w*i and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -837 divided by -837\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4 - -5)\/((-1)\/(-3)). Factor -1 - p*a + a**2 - 5 + 2*a + 4.\nAnswer: (a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -6\/7, 1\/5, 38, 0, -1, -20\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 296112\/23 or 12875?\nAnswer: 12875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes after 1:45 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y - y + y)*(0*y**2 + 0*y**2 + 2*y**3 + (-3*y**2 + 7*y**2 + 0*y**2)*(-y + y - 2*y)).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/36597 and 71\/270831.\nAnswer: 300351579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = 3*k - s, 2*k + 3 = 5*s + 24. What is the highest common divisor of k and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-3)\/(-8))\/((-693)\/(-308)))\/((45\/9)\/1770).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (3 - (4 - 5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*f + 38*f = -504. Calculate the highest common divisor of f and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27\/(-36)*-6*(-8)\/162.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/(-30) - -1)\/(4\/(-20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*g + 8 = -7*g. Suppose -g*y + 120 = 3*y. Calculate the least common multiple of 27 and y.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 - 0.1. Let y = u + 0.06. Let s = y - -2.04. Which is the biggest value?  (a) -2\/3  (b) s  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6795927.\nAnswer: 3, 251701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 49951 and 4827691.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 351 and 42276.\nAnswer: 380484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 89056400309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -910*u + 455*u + 453*u. Let h(r) be the first derivative of -7 + 0*r**2 - 1\/3*r**3 + 0*r. Calculate l(h(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/((-392)\/35))\/(3\/21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.2 + -3.3. Let l = -4.1 - d. Let a(r) = -r**3 + 3*r + 3. Let x be a(-2). What is the second biggest value in 1\/10, l, x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 135 + 215 = 0. Is 25 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 40 and 16810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1160 divided by 4?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kknnk. What is prob of picking 3 k and 1 n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -295, -592, -889, -1186?\n\"Answer: -297*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5086 = -240*t + 359 - 4456 + 1263 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-36)\/34 - (4 + -5). Let y = n + 39\/85. Let r = -23 + 47\/2. Sort 0.3, r, y in ascending order.\nAnswer: 0.3, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (b**2 - 4*b**3 + b**3 - 2*b**2)*(-5*b + 3 - 3) + (2*b**2 + 2 - 2)*(-b**2 + b**2 + 5*b**2) to the form i + x*b**3 + d*b**2 + w*b**4 + f*b and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(88)*2)\/sqrt(8) + sqrt(891) + sqrt(891)*2)*6 - (2 + -2*sqrt(891)*2 + (0 + sqrt(891) + 0)**2).\nAnswer: -893 + 210*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 15*n**2 - 337*n + 191. Calculate the remainder when z(23) is divided by 4\/6 + (-480)\/(-9).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122 = -5*g + 2*r + 115 - 244, 5*r - 6 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((1 + 1 + 0)*(2 - 5 - 4)*(3 + 3 - 5) + 2 + 0 - 1 + (2 - 4 + 0)*(-3 + 1 + 3) + 3 + 2 - 3)*(0 + 7 - 4)*(0*q - 2*q - q) to the form h + a*q and give a.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - 0 - (0 - -5 - 6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13.6 - -14. Let x = -1885 + 1884.7. Which is the second smallest value?  (a) x  (b) n  (c) -1  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4328*g = -4015*g. Find x, given that -21\/4*x + g - 3\/4*x**2 = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -7*m**2. Let k(o) be the third derivative of -o**4\/3 + o**2 - 24. Determine t(k(v)).\nAnswer: -448*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from popypyoooppp?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -129 + 32 = k. Let d = -592 - k. Let p = -264 - d. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -201 = 81*t - 39 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/3  (b) 4  (c) 1  (d) 0.059  (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 0 = -2. Suppose -5*s + 3*z - 9 = 0, p*s + 0*s - 2 = 4*z. List the prime factors of ((-111)\/3*s)\/3.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -239 + 253. Solve 5*m = 4*p - p + d, -5*m + 20 = -5*p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 10572, 42339, 95278, 169383, 264648, 381067, 518634?\n\"Answer: -w**3 + 10592*w**2 - 2*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/(-150)*-5*(-588)\/231.\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*l - 180 = -3*o, -3*o - 5*l - 1251 + 1392 = 0 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1830321 is divided by 1201.\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -7840.3473 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*n**3 + 0*n**3 - 4*n**3 - 2 - 1 + 0*n**3 - 2*n**3 + (3*n**2 + n**2 - 5*n**2)*(-12 - 22*n + 12).\nAnswer: 16*n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -2*k**3 + 3*k**2 - 4*k + 4. Let z(c) = 2*c**3 - 2*c**2 + 3*c - 3. Let j = -258 - -261. Calculate j*q(t) + 4*z(t).\nAnswer: 2*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/71165 in 3, 0.04, 3\/8?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3*-1)\/3*-1. Let c be j\/(-2) + (-106)\/(-4). Calculate the highest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 4. Suppose 3*x = y*x + 7. Let j(f) = f**3 + 50*f**2 + 45*f - 169. Calculate the remainder when j(-49) is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9 + -6. Suppose -25 = -4*l + 15. Suppose -4*b - 8 = 0, -l + 5 = -a*i - 5*b. Sort -5, 4, i.\nAnswer: -5, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1061.9 - 1062.9. Which is the biggest value?  (a) -1\/6  (b) -1\/2  (c) j  (d) -0.08  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6904849 times -1.9?\nAnswer: -13119213.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 530265.5 rounded to the nearest one thousand?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69*k - 4372 = 150*k + 19718 for k.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 - 6*b**2 - 6*b - 6. Let t be u(-5). What is the least common multiple of (-2 + 1)\/(t\/9) and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 90303 (base 13) to base 7\nAnswer: 2121621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.1 - 0.1. Let w = 0 - o. Let i(l) = -l**2 - l + 54. Let a be i(7). Sort w, a, -1 in increasing order.\nAnswer: a, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -24595*t + 24595*t - 242*t**2. Let p(l) = 3*l. What is p(m(a))?\nAnswer: -726*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -39.7, -0.1, -381?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*v - 24*v + 30*c + 76 = 0, 3*c - 39 = -12*v + 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 13, 30, 63, 118, 201?\n\"Answer: x**3 + 2*x**2 + 4*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 22*f**2 + 4*f - 8. Let m(q) = -q + 1. Determine -6*m(t) - n(t).\nAnswer: -22*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 832 + -828. Solve -x*h - 7 - 13 = 0, -4*w - h - 1 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -227\/5 - -46. Let v = 241 + -239. Find c, given that 0 - y*c**v + 0*c = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 88*k**2. Let g be ((-45)\/6)\/(-5)*396\/54. Let i(d) = -2*d - 3*d - 7*d + g*d - d. Determine h(i(n)).\nAnswer: 352*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001859589 rounded to five decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 27.8 - 27.3. What is the fourth smallest value in k, 0, -4, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 6615055?\nAnswer: 13230110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:45 AM and 8:43 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the third derivative of m**6\/1080 - m**5\/90 + m**4\/18 + 14*m**3\/3 - 21*m**2. Let l(r) be the first derivative of b(r). Suppose l(c) = 0. What is c?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -8\/5, 3749, 5 in descending order.\nAnswer: 3749, 5, -8\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = -1\/189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25365325 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - p**3 - 2*p**3 - 2*p + 2*p + (-p**3 - 3*p**3 + 2*p**3)*(0 + 3 - 1).\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -9*w + 6. Let q(s) = 8*s - 5. Calculate 4*g(k) + 5*q(k).\nAnswer: 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -365 - -356. Let g(t) = -5*t**2 - 48*t - 17. Let p be g(f). Solve -4*w + q = -5, -w - 3*q = -q + p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 9 = -6. Let y be 1 + (-4 - 30\/d). Let b = 12 + y. Solve -b*x - 2*x - 21 = z, 4*z - 3*x - 8 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the first derivative of 7*w**4\/12 - 12*w - 9. Let g(b) be the first derivative of d(b). Let y(j) = -2*j**2 + 0*j + 0*j. Calculate y(g(t)).\nAnswer: -98*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6734.36l?\nAnswer: 6734360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 368, 412, 530, 758, 1132, 1688, 2462, 3490?\nAnswer: 4808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.0375235 times 0.4\nAnswer: 0.0150094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*p + 5*p + 28. Suppose -6*a + 21 = -3*a. Solve -3*l - p*k - 6 = 0, 4*l + k = -2*k - a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bsvisnssssssnjs. What is prob of sequence bs?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2886944 rounded to 2 dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 14) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2620972 is divided by 881.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.038 + 0.162. What is the closest to f in -4, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2511*a - 2513*a + 7527*a - 20*a**2 - 2503*a.\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 37 + 4a401?\nAnswer: 4a438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 2114*h**2 + 165*h - 46. List the prime factors of l(6).\nAnswer: 2, 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4034 = -698*m - 13416 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*u**2 + 4*u**2 - 5*u**2 + 3*u**2 + u**2 - u**2 + (-3*u + u + u)*(0 - u + 0) + 2*u**2 - 1 + 1.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -2136*b**2 + 1. Let u be x(1). Let y = u - -29811\/14. What is the common denominator of (8\/(-20))\/(8\/(-98)) and y?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (34 + -6 - 19) + (-13 - -10 - 12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.016 + -2955.984. Let q = 2936.955 + w. Let p = -19 - q. What is p rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -49.9 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that 2*l**2 - 13760*l - 470152 = 0.\nAnswer: -34, 6914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.11439488 - -12890.\nAnswer: 12890.11439488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1451 (base 9) in base 16?\nAnswer: -44b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 174 - 120. Let m = 0 + 6. Calculate the highest common factor of m and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -13 + -2120?\nAnswer: -2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2620223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of (-2)\/(-4) - ((-35581)\/(-14))\/(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, 5, -5307, -3 in ascending order.\nAnswer: -5307, -4, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 826017480?\nAnswer: 2, 3, 5, 47, 16273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the third derivative of -q**6\/320 + 7*q**5\/160 - q**4\/16 - 3*q**3\/4 + 715*q**2. Factor k(w).\nAnswer: -3*(w - 6)*(w - 2)*(w + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101011111 (base 2) to base 7.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10 - -32. Let y be (x\/(-33))\/((-6)\/207). Which is bigger: -7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000042683 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 9\/(-15)*-11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-62))\/(4010\/(-24060))?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2028\/676 - (2\/34)\/((-5)\/(-285))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -6*n - 8. Let i be f(-2). Suppose -2*b = -i*u + 430, b = -b + 10. Is 24 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(272) - (5 + 2 + sqrt(272))) - (4 + (sqrt(272) - ((sqrt(272) - sqrt(272)*3) + sqrt(272) + 3)))) + -1)**2.\nAnswer: 256*sqrt(17) + 1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 11*h + 7. Let d be k(3). Calculate the highest common divisor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9174.819ug in tonnes?\nAnswer: 0.000000009174819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*f + 33 = 6. Factor -21*v**4 + 16*v**2 - 70 + 90*v**f + 70 - 40*v**2.\nAnswer: -3*v**2*(v - 4)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r = -y + 153, 44 = 4*y + 4903*r - 4904*r + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 434201*4\nAnswer: 1736804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes after 10:03 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eqeggeeeeeneeqqfqqq. What is prob of picking 1 e, 1 n, and 1 f?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/2*r + 3*r**2 - 5\/2*r**3 + 3\/4*r**4 + 1\/4.\nAnswer: (r - 1)**3*(3*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 2*v**3 + 0 + v**3 + v - v + (v - 2*v + 2*v)*(4*v**2 - 3*v**2 + 0*v**2) + 2*v**3 - 2*v**3 - 5*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -13 - (-2 + 6)) + -53 + (30 - -21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j**4\/2 - 1494*j**3 - 364461*j**2 + 3757410*j - 18975675\/2 = 0 for j.\nAnswer: -503, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -3*t**5 + 1146*t**4 - 65952*t**3 + 365094*t**2 - 532413*t = 0.\nAnswer: 0, 3, 63, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-3 + 5 - 3) + (17 - 8) + -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n + 8. Let l be o(-4). Suppose -2*d + 2 = -7*d + 2*z, 2*z = -l*d + 2. Solve 4*p - 5*k - 25 = d, 5*k - 3*k = 3*p - 17 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -5*i. Let x(h) = -325*h**2 - 331*h**2 + 1478*h**2 - 367*h**2 - 356*h**2. What is x(f(n))?\nAnswer: 2475*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - -3. Let j = t + -2. Put -5, -1, j in descending order.\nAnswer: j, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9926*s**2\/5 - 5211149*s\/5 + 105.\nAnswer: -(s + 525)*(9926*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = c + 2*m, c - 16 = 2*m + 2*m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3 + (-1 + 44)\/1. Suppose -b = 5*f - 120. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 328 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes after 10:33 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8366154 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 0, 0 = 5*w - w + 5*n - 32. Let t = 10388 + -10383. Find the third derivative of -w*s**5 + 17*s**5 + t*s**5 + 8*s**2 - 3*s**5 wrt s.\nAnswer: 660*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c - 2. Let m(l) = 6*l - 3. Let k(t) = t. Let y(o) = -21*k(o) + 3*m(o). Determine 18*r(v) - 4*y(v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 56 divided by 2\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 4 = 8*t. Let o be -1 + 4 + t - 9. Sort 1, -1, o in descending order.\nAnswer: 1, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 27241 + -140?\nAnswer: 27101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from stssturrsspurrs. What is prob of sequence tp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 2*r**2 - r + 4. Let c(v) = v + 13. Suppose 0 = -8*n - 121 + 33. What is the least common multiple of c(n) and l(-3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 0 - 1 = 0. Let j be (0 - 0)\/((-1)\/d). Suppose j*l = 5*l - 10. Solve -10 = 2*b, -y + l*b = y - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 31354 and 3598?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -93.6 - -39. Let u = -55 - s. Let m be 6 + -1*(-4)\/(-2). Which is the fourth smallest value?  (a) u  (b) -0.5  (c) m  (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (5*(0 + sqrt(180)) - (sqrt(180) + sqrt(180) + 1*sqrt(180) + -5)) + 3 + 2)**2.\nAnswer: 216*sqrt(5) + 801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2967 + -1979. Is 20 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzzjwrzzzjjjzjzj. Give prob of picking 1 w and 1 r.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 8*p = -30. Let u(y) be the first derivative of -1\/3*y**3 - 7\/2*y**2 - 4 - 4*y. Calculate u(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -126*d + 9 + 873 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -234.3739 rounded to 1 dp?\nAnswer: -234.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggaagaasggsassssssaa. What is prob of sequence asg?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -927 or -1649220\/1781?\nAnswer: -927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2 - 2 - 10*t**2 + 16*t**5 wrt t.\nAnswer: 960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 2*w - 3*w = -75, -103 = 3*n + 2*w. Let k = 20 + n. What is the least common multiple of (-9)\/k - (-17)\/5 and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*x = -22*x + 504 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 87681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/340729 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/134186 or 0?\nAnswer: -3\/134186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 100*l + 99. Determine f(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1124, -2271, -3440, -4643, -5892?\nAnswer: -7199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -475 by -475.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 94110421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -95630, -95645, -95662, -95681, -95702?\n\"Answer: -q**2 - 12*q - 95617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14512, 29007, 43528, 58087, 72696, 87367, 102112, 116943?\nAnswer: 131872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*u + 21*u - 2*u - 11*u - 4*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8\/(-44) - ((-272)\/44 - 0). Let p = -18 + 26. Solve 2 = -2*x + 3*s, -2*x + 4*s = z*s - p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/1*49\/588*(-72)\/(-96)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 - 13*p**2 - 3*p - 37. Give m(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/(-15) - 1508\/(-60) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, w: 2, f: 4, o: 3, n: 1}. What is prob of sequence nf?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 7334, 7, 4, 16, -4, 5, 3 in descending order.\nAnswer: 7334, 16, 7, 5, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-three eighths of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-610)\/(-75) + 2\/(-15). Suppose 0 = z + 5*w - o, 5*z + 0*w = 3*w + 40. What is the second derivative of z*g**2 + g**2 - 4*g**2 + 2*g wrt g?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (6 - 16\/(6\/(-24)*-8))\/(-23). What is the closest to -0.1 in 0.2, 1, 1\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -g + 9, -d - 4*d - 17 = 3*g. Let y(m) = m**2 - 8. Let x be y(d). Let c = x + -1. Solve -2*a - 3*a = o - 6, 0 = -3*o - 4*a + c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.96857 and -11.11.\nAnswer: -10.14143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 396 = -5*d, -2*d + 571 = 4*h - 995. What are the prime factors of h?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes before 11:39 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(80)*-1)**2.\nAnswer: 40*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 110 + -57. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 2*o + 26. Let t = -34 + 23. Let a be c(t). Suppose -a*y = 2*j + 1 - 27, 5*y - 27 = 3*j. What is the remainder when 40 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 3*t - 1. Let w(a) = a**2 - a + 1. Suppose -348*r = -340*r - 24. Suppose -29*o - 78 = -r*o. What is o*w(p) - x(p)?\nAnswer: -3*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:08 PM and 10:11 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 32 = -82. Let x = 15 - s. Solve -8 + 0 = u + 4*t, 0 = -4*u - x*t - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**3 - 48120*t**2 + 115728585*t + 231649690.\nAnswer: 5*(t - 4813)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 198 and 5.\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10*m**6 + 578*m**5 + 7827*m**2?\nAnswer: 1200*m**3 + 34680*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = 4*p + 19, -2*j + 38 = -p for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 615, 3734, 12157, 28530, 55499, 95710, 151809?\n\"Answer: 441*i**3 + 6*i**2 + 14*i + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -4*(279\/(-54))\/31\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -2*f**2. Let q(x) = 10*x**2 + 5. Let d(b) = 5*b**2 - 13. Let p(a) = -a**2 + 3. Let y(o) = -2*d(o) - 9*p(o). Let n(j) = q(j) + 5*y(j). Give n(m(w)).\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**2 + 2. Let l = -20 + 9. Let f = 13 + l. What is the lowest common multiple of f and p(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 2*v + 3*v. Suppose -v*t + 9 = -t. Let o be (-7)\/t*(-3)\/2. Which is smaller: 5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 417499?\nAnswer: -3\/417499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 5738691631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 111 + 37*z**3 - 111.\nAnswer: 37*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1257335, -2514480, -3771625, -5028770, -6285915, -7543060?\nAnswer: -8800205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.202782ml in litres?\nAnswer: 0.008202782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.9085 - -0.1?\nAnswer: 3.0085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -19.3 and -1.\nAnswer: 19.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.5 - 0.9. Let p = 0.6 - v. Sort 2\/9, 0.3, p.\nAnswer: p, 2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4.02 + -0.02. Let t be 170\/40 + (3 + -4 - 4). Let p = 12.7 + -13.2. Which is the closest to 5?  (a) t  (b) p  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -464 or -485126\/1047?\nAnswer: -485126\/1047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*k + 31 + 56 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1b77 + -e1?\nAnswer: 1a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18983 is divided by 18955.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**3 - k**2 + 6*k - 4. Let j be d(1). Suppose 32*q - 16*q - 160 = j. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 419009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 4\/5, -3, 1, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d**2 - 3*d**2 + 3*d**2)*(0*d + 0*d + d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1454362, -5817456, -13089280, -23269834, -36359118, -52357132, -71263876?\nAnswer: -93079350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18512 is divided by 8641?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -0*z - z. Suppose -2*i - 2 = z*s - 22, -i = -s + 11. Let h(n) = n - 4. Determine h(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7\/183 + -211\/732. What is the closest to f in 0, 312, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -17?  (a) 5  (b) 0.095  (c) -5  (d) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**2 + 12*a + 12. Suppose -4*u - 2*c - 46 = 0, -5 + 1 = 4*c. Let z be t(u). Is 3\/z + (-10 - -198) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 - 4. Let y = 0.9 - 1.3. Let n = 3021 - 3021. Which is the closest to n?  (a) y  (b) s  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/41, 628, -2\/9, -2, -5\/3, -1?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/(-1) - 4\/(-4). Suppose z*p - 18 = p. Suppose 22 - p = u. Solve 0 = -5*x + 2*w, -u + 0 = 3*x + 2*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**3 + 5*z**2 + 2*z. Let t(b) = -5*b**3 - 2 + 11*b + 1 + 29085*b**2 - 29059*b**2. Determine 11*q(u) - 2*t(u).\nAnswer: -u**3 + 3*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the third derivative of -f**6\/120 + f**5\/5 + f**4\/2 + 8*f**3\/3 + 4*f**2. Let v be g(13). Is 120\/(3 - 0) - v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + (2 + -8 - -2 - (-4 - 0))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j**3 + 54*j**2 - 47*j - 1. Let x be z(26). Suppose -1116 = -135*n + x*n. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4274 is divided by (-295)\/(-4) - (-23 + 1131\/52).\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.21973 rounded to 3 dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -302, -603, -904, -1205?\n\"Answer: -301*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -82*n**3*q + 468068*n**3 - 514*n*q**2 wrt q?\nAnswer: -82*n**3 - 1028*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 47b1 - -5?\nAnswer: 47b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10220*g - 6 + 7 + 10227*g.\nAnswer: 7*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.426491 weeks in nanoseconds?\nAnswer: 3281941756800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z**2 - 1637492544*z + 167586364478474496 = 0.\nAnswer: 204686568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 273 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4\/1075, 6.1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 329*i = 295*i + 1249466. What is the thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-70*d**2 + 89*d**2 + 74*d**2)*(-221*d + 448*d - 230*d - 3*d**2 + 27) to c*d**2 + u*d**4 + r*d + t + v*d**3 and give c.\nAnswer: 2511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 26483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**2 + 2*z. Let g be o(-4). Let x be g\/12 - (-2)\/(-3). Factor -2*d**5 + x*d**5 + 0*d**5 + d**5 + d**3.\nAnswer: -d**3*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 3 + 15 = 0. Suppose r*v - 286 = -46. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59149193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -326 - 47*c**4 - 168*c**4 + 327 + (-1 - 3*c**3 + 1)*(-1 + 1 - 2*c).\nAnswer: -209*c**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*i + 5368 = -229*i for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 6*i = 1404. Suppose 17*k - i = -k. What is the greatest common divisor of k and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 944*r - 950*r + 3258. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*k + 22*k + 25*k + 24*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 2*s**2 - 57*s - 3501. Determine n(-30).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 25443 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 5*s**2 - 2*s + 2. Let m be u(1). Let b(r) = -2 + 1 + m*r + 4 + 2*r. What is the units digit of b(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes before 3:24 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -5*i + 54. Suppose -q + 3*m + i = q, m = -3*q + 7. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*x**2 - 137924*x - 137920.\nAnswer: -4*(x + 1)*(x + 34480)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 + 9*t**2 - 25*t - 2. Let m be g(-10). Let v be (-117)\/(-172) - 111\/m. Is v <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*157775.\nAnswer: -15777.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 2*m**2 + 44*m - 62. What is the tens digit of j(32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/(-8)*(-4 - (-14 - -6)). Solve -4*b + 2 + 12 = -w*u, 5*u + 8 = -b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5001567718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y + 591. Let p(h) = -2*h - 595. What is 2*p(x) + 3*v(x)?\nAnswer: -x + 583","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4\/(-6))\/((-214)\/6). Suppose -15*h + 25 = -15 + 40. Is h equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 - (13 + -12 + 7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17191, 34401, 51617, 68839, 86067, 103301?\nAnswer: 120541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the second derivative of x**3\/3 - x**2 + 4*x. Suppose 3*r - 26 = -11. Suppose 0 = -r*q - 3*g + 1, q - 6 = 3*g + 5. Calculate y(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 3*36\/(-81)*-2.\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/(-3)*15\/10*2. Solve -2*v + 1 = m + 4, -j*m + v = 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/((-256)\/24))\/(3\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/(147\/(-48))*49\/(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 w when three letters picked without replacement from {z: 1, m: 1, e: 2, u: 1, w: 1, i: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-30)\/8*12654\/(-76500). Let p be 2\/(-75)*12\/(-68). Let b = v + p. Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -27*w**2. Let m(x) = -10 - 2*x + x + 9 + 1. Calculate d(m(o)).\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - (3 + 0 + -1)) + (-6 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**3 - z**2 - z + 1. Let v(r) = -6*r**3 + 33*r**2 - 10*r + 4. Let i(t) = v(t) - 4*y(t). Find the second derivative of i(u) wrt u.\nAnswer: -12*u + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41 = -4*v - 55. What is the common denominator of 17*(44\/v)\/11 and 31\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35915000 = -11*b + 66*b. What is b rounded to the nearest ten thousand?\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 80\/27, 924, -0.5 in descending order.\nAnswer: 924, 80\/27, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -107*l**2 - 6*l. Let v(c) = -19796*c**2 - 1111*c. Calculate 1111*k(d) - 6*v(d).\nAnswer: -101*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1181 a factor of 76049327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/12)\/((-40 + 30)\/20).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*q = 72*q + 187271. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:49 PM and 8:19 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -2*d**2 + 25*d - 25. Let h be n(11). Put 4, 3, -2, h in decreasing order.\nAnswer: h, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -135045*t + 135040*t = j - 21, -4*t = 3*j - 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2, 1, 524.4, -3, 170?\nAnswer: 524.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 238*a + 231*a = 481*a + 60 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 41772 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of -x**3 - 17. Let r(u) = -22*u. Determine b(r(h)).\nAnswer: -1452*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*m**4 + 249516*m**3 + 5188186188*m**2 + 35959318469028*m = 0. What is m?\nAnswer: -20793, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 39075583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - (-7 - (-2 - -2))) + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 + 2 + 1 + 0. Let a be 56\/1 - (1 - w). Calculate the greatest common divisor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/6*(2 - 8). Which is the nearest to -2\/3?  (a) 1\/2  (b) -0.1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2103 (base 5) to base 7.\nAnswer: -545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -12330 (base 4) in base 12?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3739056*w**4 + 3794517*w**2?\nAnswer: 89737344*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -13*t + 10*t. Solve 0*o - 10 = -t*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 + (9 - 4) - (20276\/(-52))\/37.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14490394 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -806 - -988. Calculate the remainder when v is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:39 PM and 6:13 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 5168, -4374, -20278, -42544, -71172?\n\"Answer: -3181*x**2 + x + 8348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*c + 388 = -43*c + 124*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -95 + -1 - (4 + 128 - 156).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vni when three letters picked without replacement from {n: 2, y: 2, v: 6, i: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 13) + 2 + -11 + 7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v\/(v*v\/(v\/v**(-8)*v*v*v)))\/v)\/(v**6\/v)*v*v*v**(-4\/7)*v*v**(1\/2)*v*v**(-2)*v**6*v**(-1\/3)\/(v*v\/(v\/(v*v\/v**(3\/7)))) assuming v is positive.\nAnswer: v**(463\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(-3\/11)*s**(-7))**(-4\/7))**(2\/111))**(11\/8) assuming s is positive.\nAnswer: s**(80\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 17703363 and 708.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3232205 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 323\/95 - 210\/150. Factor -2\/3*g**a - 2\/3*g + 4\/3.\nAnswer: -2*(g - 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(2 + (3 + ((sqrt(468) + 1 - sqrt(468))*3 + sqrt(468))*3)*-5)*-4)**2.\nAnswer: 2672640*sqrt(13) + 27817984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*u + 310354 = 19129. List the prime factors of u.\nAnswer: 3, 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -25*c**5 + 209*c**3 + 2*c**2 - c + 38110 wrt c.\nAnswer: -500*c**3 + 1254*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l. Let a(j) = 4*j**2 + 544*j - 400. Calculate a(w(b)).\nAnswer: 4*b**2 - 544*b - 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -289, -319, -349, -379, -409, -439?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xy when two letters picked without replacement from {x: 4, y: 2, u: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17036*q + 34184*q - 17439*q.\nAnswer: -291*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -2*o**3 - 23*o**2 - 17*o - 62. Determine s(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 3*l**2 - 21*l. Let r be b(7). Suppose r = 54*y - 63*y + 18. Solve -s + 3*s = -4*j - 24, y*j = -10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1051 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 27978 and 3712?\nAnswer: 51927168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 58 = 4*i + 2, 4*f = 4*i - 56. Let r(q) = q**2 + 3*q. Calculate the lowest common multiple of r(-4) and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 552 divided by -24.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-3 + sqrt(425)*2 - (sqrt(425) + 2 + -1))**2.\nAnswer: -40*sqrt(17) + 444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -55*t**2 + 220*t - 983. Determine m(6).\nAnswer: -1643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -433993*j + 3 - 3 + 433992*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 0 = 5*a + 1, 2*r = -2*a - 2. Let g = -119 + 26. Let o = 127 + g. Sort 1, o, r.\nAnswer: r, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90390 divided by 2?\nAnswer: 45195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 10337 = -l + 10324, 22 = l - 3*y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 + 5*r**2 + 12*r - 3. Let y be c(6). Suppose j + y = 4*j + 3*q, 3*j = 5*q + 57. What is the highest common factor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lhtbhbhpttltttttttu. What is prob of sequence hthh?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -153402 - -153510. Suppose f - 16 = -4*o + 4*f, -3*o = 3*f - 12. Sort o, 2, z.\nAnswer: 2, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 28 + -5. Calculate the greatest common divisor of q and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*g**2 + 6*g - 6*g)*(-3*g + 0*g + g) - 13 + 7 + 12 + 3*g**3.\nAnswer: 15*g**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -50 - -19. Suppose -79*y = -3124 - 668. Let v = t + y. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 41557 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/63)\/(-2)*3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f**(6\/11)*f))**(2\/11) assuming f is positive.\nAnswer: f**(-12\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -161433174 divided by 14.\nAnswer: -11530941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (0\/(-8)*1\/1)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:57 PM and 9:00 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78*c = 53188 - 56308. Suppose -5*h + 253 = o + 51, 194 = 5*h - 3*o. What is the least common multiple of c and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 5234819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 382 - 545. Let l = h - -498. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7*9\/(-1) + 75 + -57\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2870.8 + -2850.391. Let x = 0.209 - w. Round x to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from hbbiibb?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.8 - 1. Which is the nearest to 0?  (a) -2  (b) l  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9581?\nAnswer: 11, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.1  (b) 2\/9  (c) 14.1  (d) 4  (e) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 19138 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 - 10. Suppose 0 = -9*i + m*i - 35. Which is greater: i or -27\/7?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + f + 1837 = 0, 4*x + 5*f + 1399 = 7*x. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.7 - 0.3. Let w = -4\/5 + 11\/20. Which is the fourth smallest value?  (a) p  (b) w  (c) -3\/5  (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(55)\/(sqrt(22)\/sqrt(2)) - sqrt(5))**2 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 387 + -453. Let y = -31 + 30.9. Which is the nearest to -0.1?  (a) 1  (b) t  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 567 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 + (-4)\/1 + -9. Let o(v) = -10*v + 3. Is o(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 154185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5914944, 11829858, 17744740, 23659590, 29574408, 35489194, 41403948?\nAnswer: 47318670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -82 - 16. Find the common denominator of 93\/8 and j\/(-2)*(-2)\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 0*r + 36 = -r, 2*r + 24 = -4*n. Let s be (6\/7)\/(136\/238)*-4. Calculate the remainder when n\/12 + (-862)\/s is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (-8 - 1) + 1 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 44188 not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**2 - 17*z - 3. Let i be g(-17). Let o = 2 + -1. Let a be ((-2)\/4*0)\/(-2). What is the closest to a in i, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 - 2 - (-5 - 133) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*p*s + 113966*p - 83830*s with respect to s.\nAnswer: -2*p - 83830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 387 + -1023. What is the common denominator of 25\/(-9) - (1 - 1) and (-5 - i\/(-24))\/(-39)?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7089*h**4*j + 109*h**4 - 6285061*h**2*j wrt h.\nAnswer: -170136*h*j + 2616*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 152 = 4*x + 28. Let g = x - -56. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/39 or -1\/889?\nAnswer: -1\/889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7929.34 rounded to the nearest 10?\nAnswer: 7930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*j = -14 + 53. Solve -4*r + 1 = j*b, -b - 2*b + 9 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 4942, 20854, 47372, 84496, 132226, 190562?\n\"Answer: 5303*x**2 + 3*x - 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000015115363 to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 0.01  (b) 1\/5  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 - (18 - -3) - 17?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 272912891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3522509 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 50.3767026 seconds to weeks.\nAnswer: 0.0000832948125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.6997 to 1 decimal place.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -50, -1\/4, 1\/2, -3\/7, 20, 1\/4 in descending order.\nAnswer: 20, 1\/2, 1\/4, -1\/4, -3\/7, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68993 is divided by 4502.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 102 divide 2638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n. Let o(l) = 544*l - 53. Let q(s) = 1088*s - 130. Let k(t) = 5*o(t) - 2*q(t). What is z(k(h))?\nAnswer: 544*h - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (17 - 5)\/(4\/1). Suppose -4*m - 15 = 5*y, 6*m = 4*m - y - n. Solve -4*o + 3 - 23 = m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2303 + 3113221?\nAnswer: 3110312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11043910 by -5.\nAnswer: -2208782","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 949*c. Let h(b) = 11*b. Determine r(h(l)).\nAnswer: 10439*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (31\/2)\/(-19 - (-27 - -11)) - -5\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-2\/7))**(13\/3)\/(s*s**(1\/4)\/s)**(-5\/4))\/((s**0*s)**(-6\/13)\/((s**(-3\/5)\/s)\/(s**(1\/5)\/s))) assuming s is positive.\nAnswer: s**(67033\/21840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1236213495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -12771, -12798, -12781, -12714, -12591?\n\"Answer: l**3 + 16*l**2 - 82*l - 12706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from {i: 6, l: 1, d: 1, n: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 934128 by -467064.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -66*s + 158*s - 1012 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 PM and 6:01 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 divided by -125.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 61*g**2 - 91*g + 28. What is the ten thousands digit of u(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p**4 + 56510*p**3 - 169542*p**2 + 169546*p - 56516 = 0. What is p?\nAnswer: -28258, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 182344 divided by 4?\nAnswer: 45586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 4308.1813 - -2\nAnswer: 4310.1813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2380 and 142905.\nAnswer: 9717540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 - 0. Let k(y) = -y**3 + y**2 + 14*y + 13. Calculate the remainder when p is divided by k(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*c - 55*c - 889*c**3 + 64*c.\nAnswer: -889*c**3 - 32*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22, -42, -68, -94, -114, -122, -112, -78?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1\/(-1))\/((-2)\/4). Suppose 2 = f*h - 2*m, 2 = 2*h - 0*m - m. Solve -r**3 + 2*r**2 + h - 2*r**2 + 2*r**2 - 3*r + r**2 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -99 + 52. Let a = 90 + m. What is the remainder when a is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lhpyp. Give prob of picking 1 h and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o + 2*o - 5*o + 3*o - 2*o + 0*o - o - 3 + 3 + (-5*o + 0*o + 3*o)*(-1 + 0 + 2))*(21*o**2 - 21*o**2 - 11*o**2 - 1).\nAnswer: 33*o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the third derivative of -w**6\/360 + 7*w**5\/120 - w**4\/4 - 24*w**2. Let m(i) be the second derivative of r(i). What is m(8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 5*u**2 + 2*u + 1. Suppose -6 + 21 = 2*v - 3*x, 2*x = -3*v + 3. Suppose v*j + 5 = -2*j. Give n(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88704585 - 88704585 - 3*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i = 3*i. Let h(y) = 0*y - 1 - y - 2. Determine h(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 + 11*1\/(-13). Let m = -0.0299 + 62.8299. Let q = 63 - m. Which is the biggest value?  (a) x  (b) q  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 3*i**3 + 31*i + 4. Let b(o) = o**3 - o**2 + 10*o + 1. Let a(t) = -11*b(t) + 4*y(t). Let l(k) = k**2 + 5*k - 10. Let m be l(0). Give a(m).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 5*i = 73, -2*o = -4*i - 66 + 18. Suppose 5*k - 24 = -3*j, 6*k = -j + 2*k + 15. Calculate the remainder when o is divided by 2*5 + j*(-5 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*m - 53 - 121. Let y be -2 - 7\/(-4) - (m + 29). Let j(w) = w**3 + 7*w**2 - 6*w + 2. Let r be j(-8). Sort r, y, 0.1.\nAnswer: r, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*s - v + 38, 77*v - 62 = 2*s + 494 + 297 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**2 - w + 3. Suppose -7*j + 2*j = -20. Let z be a(j). Let s(i) = 2*i - 16. Does 5 divide s(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkc when three letters picked without replacement from kckkkhkkckekkkcekkk?\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*h - 50*h + 94 - 398 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5.44 - -4.94. Let t = 3.3 + -1.2. Let r = t + -2. What is the third smallest value in m, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 258917751.\nAnswer: 3, 28768639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -1367 + 184*v + 684 + 683 as h*v + f and give h.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 16*s**3 - 8560*s**2 + 3*s - 1583. Calculate t(535).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(572)\/sqrt(99))**2 + -4.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8270.5 - 8271. What is the third biggest value in -5\/4, 0.3, 45, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 13147705*d**4 - 15*d**2 + 922015 wrt d?\nAnswer: 315544920*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f\/(f*f**(-2\/29)*f)))\/f)\/f*f*f*(f*f**(-10)\/f*f)\/f*f*f**(-1\/3)\/f**(-7) assuming f is positive.\nAnswer: f**(-35\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 20 - 7. Let j = 2 - 1. Let y be 320\/5 + j\/1. Calculate the highest common divisor of y and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/342 and -94\/75.\nAnswer: 8550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ji when two letters picked without replacement from {j: 7, i: 1, q: 1}?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 + 8.2. What is the closest to -2 in -0.2, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(448)*-4 + 2 + -3*sqrt(7) + (((-1 + sqrt(112) + -2 - sqrt(112)) + sqrt(112) - sqrt(112))*-5)**2.\nAnswer: -35*sqrt(7) + 227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*z**3 - 2 - 11*z + 87*z**2 - 89*z**2 + 6 - 2 to c + o*z**3 + h*z + b*z**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 174988679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -858236, -1716377, -2574518, -3432659, -4290800, -5148941?\nAnswer: -6007082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 4 = -5*p, 11*p + 8 = 9*p + 2*c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -53, -245, -639, -1295, -2273, -3633?\n\"Answer: -10*j**3 - 41*j**2 + j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = d + d - v + 11, 0 = -d - 3*v + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 9*i**2 - 12*i - 11. Let n(c) = -2*c**2 + 19*c - 13. Let k be n(9). What is the hundreds digit of j(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the second derivative of -3\/14*t**3 + 0*t**4 - 2*t + 0 + 3\/140*t**5 + 3\/7*t**2. Factor h(u).\nAnswer: 3*(u - 1)**2*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 38\/8 + 5 + -4. Let c = 25\/4 - o. Suppose -8 = -5*s + 2. Does c = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -2*w - 18. Let y(n) = n - 7. Let p be y(w). Let j = p + 23. Does j = 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 40469 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -2*m + 220. Suppose -2*y = -5*h - 4*y + 63, -4*h = -3*y - m. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-6\/13)\/y)\/y*y**(-2\/15))\/(y**(-2\/3)*y**(-9)) assuming y is positive.\nAnswer: y**(1379\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 64 and 32.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + 4*x = 15, -3*x - 168 = 3*w - 132 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the second derivative of 7*u**4\/12 - u**3\/3 + u**2 - 2*u. Let i be f(4). Suppose 3*p + 3*z = 60, 3*z - 12 + i = 4*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.8 + 8.5. Let y = 5 - t. Which is the third biggest value?  (a) 3\/8  (b) y  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 3*g. Let w(m) = 78485*m**2. Give w(p(y)).\nAnswer: 706365*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9736971 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 13 = -9. Suppose -y*m + 10*m + 5035 = 0. Suppose -a - 3*a = -4, 0 = r + 2*a - m. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q**4 - 3*q**4 + 0*q**4)*(16*q - 6*q + 20*q).\nAnswer: -30*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4279\/5684 + -4\/1421. Factor -6*w**2 - 21\/4*w + r.\nAnswer: -3*(w + 1)*(8*w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*j**4\/9 + 26*j**3 + 1310*j**2 - 13338*j + 27540 = 0. Calculate j.\nAnswer: -45, 3, 6, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from bbuuu.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2892 = -6*r + 8334. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (-6 - (9 + -9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4191 and 5334.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -4\/7, 0.4, -1\/5, -6504?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 397*x**2 + 0*x + 0*x.\nAnswer: 397*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3*-1 + 87\/145)*-5. Solve -g + t - 11 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78 + 13 = -22*x - 4*r + 3, 0 = 4*r. What is the second smallest value in 25\/4, -24, -0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - -3*(-8520)\/(-2124)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 4 + 0)*(0 - 2*w + 0) + 3*w + 545*w + 427*w - 2*w - w + 0*w.\nAnswer: 974*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 8*o - 2. Suppose 3*u = -u - 12. Let n(r) = -7*r + 1. Let d(f) = u*n(f) - 2*l(f). Determine d(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 34*3*1\/6. Let v(b) = -2*b**2 + 19*b + 260. Let s be v(17). Solve a = s*u - 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2*c**2)*(3*c**2 + c**2 - 3*c**2) + (0 + 4 - 3)*(14*c**4 - 333*c**4 - 211*c**4) + (0*c + c + c)*(c**3 - 1 + 1).\nAnswer: -530*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:01 PM and 11:01 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**3 - 6*u**2 + 11*u - 8. Let t = 75 - 67. Is k(t) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, k: 8}. Give prob of sequence kkl.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2952947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 - 1. Let z be x(1). Let q be (-1 - 0)*(-1 - -5). Let o be -3*(-2)\/(2\/1). Put o, q, z in descending order.\nAnswer: o, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, v: 3}. Give prob of picking 3 v and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 128, 77, -24, -187, -424, -747?\n\"Answer: -2*a**3 - 13*a**2 + 2*a + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7435, 14867, 22297, 29725, 37151, 44575, 51997?\nAnswer: 59417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 + 6. What is the lowest common multiple of 27 - -1*30\/(-6) and h?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12*c**2*n**2 + 249*c**2 + 223*c*n**2 - 11*c*n wrt n?\nAnswer: 24*c**2 + 446*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 6*h**2\/7 + 4264*h\/7 + 2840\/7 = 0.\nAnswer: -710, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.02 + -0.52. What is the second biggest value in f, 5, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -326*l**2 - 335*l**2 - 7*l**3 + 661*l**2.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 409480, 818971, 1228456, 1637935, 2047408, 2456875?\nAnswer: 2866336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 3*x = 330. Let g = 77 + x. Does 22 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 - -1 - 1\/5. Let f = -37 + 37. Solve -2\/5*l**5 + 0*l**3 - c*l**2 + 4\/5*l**4 + 2\/5*l + f = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2) + -4*sqrt(8) + 2.\nAnswer: -7*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2933\/32625 - 23\/1125. Let m = -2\/87 + z. Which is the closest to 0?  (a) 0  (b) m  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*k**3 + 30*k**2 - 21 + 722*k**2 - 751*k**2 + k to the form m + t*k + h*k**3 + s*k**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + (27 - 2) - (-1 - -6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(1584) + 0).\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -40329623 smaller than -40329624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2814812 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 132 a factor of 26136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.2 - -10.8. Let t = 8 - g. What is the closest to t in -4, 0, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 0 + 22663*w**2 - 22664*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 9778*l**2 - l - 14. Let p = 24 + -18. Suppose 0 = -5*d - 15, 0 = 4*a + 4*d + 42 - p. Let b be f(a). Round b to the nearest 10000.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/4)\/((4\/(-4))\/(-2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 30\/133 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 7377, 29496, 66363, 117978?\n\"Answer: 7374*s**2 - 3*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 33*x**3 + 5*x**2 - 6*x - 16. Calculate the least common multiple of h(4) and 22.\nAnswer: 23672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2*20\/(-8)*(-16)\/(-40). Let m be 16\/6 + 1\/3. Solve -i = u*l - 1, -m*l - 5*i - 19 = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (18 + 8 + -16)\/(3 - 3\/(-1)). What is the second biggest value in -2\/11, h, 1\/6, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1005 - 273 = -24*s - 47*s for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the second derivative of -y**5\/60 - 8*y**3\/3 + 18*y. Let h(n) be the second derivative of w(n). Let v(a) = -35*a. Determine v(h(o)).\nAnswer: 70*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4923883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 1783*y + 119456. What is d(-67)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fourty-eight fifths of a century?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5032 = 152*k + 1200. Sort k, 12, 3 in increasing order.\nAnswer: k, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*v = -13*v - 318. What is the remainder when v is divided by 49?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r - 2*r - r + (0 + 0 + 3)*(5*r - 3*r - 3*r) - 5*r + 2*r + 4*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 4 + -1*sqrt(1573) + -4 + (sqrt(1573) + 0 + sqrt(1573) + sqrt(1573) - sqrt(1573))*6 + -5 + sqrt(1573)*-1)**2.\nAnswer: -440*sqrt(13) + 157304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-138 - 362 - 39 + 957 + 5302)*(0*d - 4*d + 2*d) in the form i*d + h and give i.\nAnswer: -11440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 162 = -2*l. Let p be 15*(-1)\/((-15)\/l). Let f be p\/(-105) + 2\/7. Which is the biggest value?  (a) -5  (b) f  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-2\/13)*y**8)\/((y*y**(-1\/14))\/((y\/(y*y*y**(-4)*y))\/y))*(y**(-6)\/(y*(y**(-1\/2)\/y)\/y*y))\/((y*y**(-1\/11))\/(y**4\/y)) assuming y is positive.\nAnswer: y**(4513\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -7547, -79, 3, 1, -2, -5.\nAnswer: -7547, -79, -5, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -2641*u**2 + u**3 + 2638*u**2 + 2 + 54*u - 3*u**3 + u**3. What is p(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 50*l**3 - 68*l**3 - 73*l**3 + (-23*l - 2*l - 5*l)*(-l**2 + 3*l**2 - 4*l**2).\nAnswer: -31*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -421161.7 + 1.49253.\nAnswer: -421160.20747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 6 - 55*u + 8 to c*u + a and give c.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 5 + 11 = 0. Let j = 14 - 23. Let y = -6 - j. What is the smallest value in y, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*h**2*m*q**2 - 467*h**2*m - 1986*h**2*q**2 - h*m*q**2 + 3*h*m*q - 58*h*m - 147*h*q + m*q**2 + 2*m*q wrt h?\nAnswer: -12*m*q**2 - 934*m - 3972*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 521201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 33461, 16, 0.54?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 9 = 0, 17*t - 12*t - 96 = -3*s. Let a(v) = -v**3 + 20*v**2 + 21*v - 6. Determine a(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 + (-6)\/(-2) + -4. Let v be (-3)\/(-15) + (-4536)\/(-45). Sort v, y, -5, -1.\nAnswer: -5, -1, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 731789796649 and -0.061.\nAnswer: 731789796648.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 590 is divided by 85?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 20*d**2 - 1231*d - 8731. Calculate s(-7).\nAnswer: 866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 4*l - 14. Give p(11).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-1956475)\/(-35) + 0\/1 + 60\/(-210)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 3*a - 10749502 = -45421484, -2*j = 5*a - 34671970. What is j rounded to the nearest 100000?\nAnswer: 17300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(108) + -3*1*sqrt(108) + sqrt(108))\/(sqrt(12)\/sqrt(48)))\/((sqrt(441) - -2*sqrt(441) - sqrt(441))*-6 + -4*-2*sqrt(441)).\nAnswer: sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-505)\/15 + (3 - (-12)\/(-9)). What is the hundreds digit of 6\/8 - 4\/m*1778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**5\/5 + 39123*p**4\/5 + 156504*p**3\/5 + 156508*p**2\/5.\nAnswer: -p**2*(p - 39127)*(p + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 9\/(-18)*-1*4. Let d be 13\/(-104)*(-10 + v). Let y = 4 + -3. Do d and y have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -13\/6, -0.4, 1 in increasing order.\nAnswer: -13\/6, -0.4, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4256 and 816088.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 45 and 126.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nxbwxbxguwnnwxw. Give prob of picking 1 w, 1 b, 1 x, and 1 g.\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(-14) - (-9)\/7 - 1. Solve v = 2*l + 4*u - 24, -20 = -3*l - 2*u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vo when two letters picked without replacement from {i: 6, o: 2, d: 1, l: 3, v: 5}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**3 + 3405*f**2 + 1420742*f + 34655088.\nAnswer: (f + 26)*(f + 456)*(f + 2923)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30)\/(-165) - 4\/(-880)*-62?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1872*q - 730*q + 179478 = -1159*q for q.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**2 + 138614*g + 138612.\nAnswer: 2*(g + 1)*(g + 69306)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1626 = -4*z - 2*z. Let v = 475 + z. Suppose 2*r = -p + 92, 3*p = -2*r + 488 - v. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/2162576 and -93\/260?\nAnswer: 10812880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7206?\nAnswer: 2, 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -123 - -139. Suppose 3*r + 4 = p. Let f(v) = v**2 + 7*v - 12. Let a be f(-9). Solve 2*j = -r*s - 28, -s = -j + s + a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4 - (-255 + 1 + -3)) + -4. Let o = 260 - y. Solve -3*t + 13 = 2*h, 6*t - 5*h + 1 = o*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 864831 is divided by 43241?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kta when three letters picked without replacement from ktakattkkktkt.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*a - 11. Solve a*f + 15 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 5*q - 23, -5*q + 15 = -2*q. Suppose -10 = -2*t - 2*z, z - 20 = -4*t - z. What is the first derivative of 3 - 3*k**v - t + 3 wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -29 + 36. Let n be (y\/(-28))\/(1\/(-12)). Suppose f = n - 0. Solve -c - 4*q + 10 = 0, 0 = -3*c - f*q + 2*q - 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from xtlmmqc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(4 + 2 + 5 + (sqrt(1100) + 1 + -4)**2 + 3 + -3).\nAnswer: -60*sqrt(11) + 1120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -33228, -33194, -33136, -33054, -32948?\n\"Answer: 12*c**2 - 2*c - 33238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f = -11*f, 0 = -4*s + 5*f + 1080. Calculate the highest common divisor of 108 and s.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -44.71011 to the nearest integer.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/(66\/28) + 17\/(-187). Which is the closest to 2\/7?  (a) g  (b) 5  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p - 10. Suppose -5*c = -4*c - 10. Suppose r = -v - 0*r - 2, -5*v - c = -2*r. Let o(m) = -1. Calculate v*s(f) + 18*o(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20048 by -6.\nAnswer: -10024\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k**3 + 216*k**2 - 212*k = 0.\nAnswer: 0, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*k**3*x**4 + 11*k**3*x**2 - 122*k**3 + 2*x wrt x.\nAnswer: -12*k**3*x**3 + 22*k**3*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - a = 0. Suppose 2*d - 2*j = 12, d = -d + 3*j + 16. Suppose -2*b - b + s + 17 = 0, 3*b - 11 = -d*s. Solve a*r = r - b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -3*a - 9. Let z be i(-5). Suppose 0*n = 3*n - z. Suppose g = -n, -o + g - 11 = 4*g. Is o > 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 57\/8 and 97\/19162630?\nAnswer: 76650520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*y**3 + 13774 + 87819 - 20961.\nAnswer: -3*y**3 + 80632","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 261687838?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qliiqliqi. Give prob of sequence li.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -52 divided by -10.\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15487.624 - 15425. Let h = 63 - x. Round h to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2 + -3 + 2 + 4. Let f(v) = -v + 11. Let x be f(o). Let u = -10 + x. Let i(y) = -y**3 - 3*y**2 + 4*y - 4. Determine i(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 9 - 7 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -819 + 1509. What is the remainder when l is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/4)*o**(-4)*o**(-3)\/o*(o*o**(1\/5)*o)\/o)\/(o*o**2\/o*(o\/o**3)\/o*o)**(-1\/19) assuming o is positive.\nAnswer: o**(-131\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w*w**(-2\/7)*w*w*w**(-1\/2))**(-18) assuming w is positive.\nAnswer: w**(-405\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -9 + -15 + 15 + 14 + (-3 - (58 + -2))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66) - (sqrt(66) + sqrt(66)*2 + sqrt(66))*-2)\/((sqrt(30)*-2)\/sqrt(5)).\nAnswer: -9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 7*h - 93. Let q(n) = -n**2 - 16*n - 41. Let k be q(-11). Let j be g(k). Solve -4*p = 5*w, -p = -j*w + 3*p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1710114652 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -4. Suppose -i*j + 2*v - 44 = -4*j, -v + 1 = 0. Suppose -3*o + 0*c + j = 3*c, 2*o - 5 = -5*c. What is o rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**3 + 5*f**2 + 5*f + 6. Let d(p) = p**3 + 5*p**2 + 4*p. Let u be d(-3). Let l be y(u). Suppose l = -3*j - 0*j + 48. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-60)\/(-7)*252\/2. Suppose -o = 7*w - 4*w. Round w to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/376 and -41\/423.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7684 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 33994603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-8) - 45\/(-20))*26\/(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2255681.\nAnswer: 2255681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 20 + -16578281?\nAnswer: -16578261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-63336)\/(-18) - 2)*837\/18*-20. What is p rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -3, -26, 89, 4 in decreasing order.\nAnswer: 89, 4, 2, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 117 + -89. Let n = a + 84.6. What is n rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.18 and -15039?\nAnswer: -2707.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 3*g + 25, 2*t - g - 563 = 0. Let i = -27 + t. Suppose -o = -13*o + i. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133 is divided by 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 - 9*j**2 - 8 - 2*j**3 - 23*j + 13*j - 11. What is a(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10 in -4\/9, 2, 145, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*r + 1386712 - 1386691 = 0, 2*t - 3*r + 9 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 2769.147 litres?\nAnswer: 2769147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*l + 25*l - 561 = 0. Suppose 0 = -u + 92 - l. What is the greatest common divisor of 328 and u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**3 - 3. Let c(u) = -u**3 + 1. Let f(g) = -2*c(g) - j(g). Let k(x) = -4*x**3 - 4. Calculate 2*f(d) + k(d).\nAnswer: -2*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the second derivative of -d**4\/12 + d**3\/3 + d**2\/2 + 10*d. Determine z(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3214 + 235?\nAnswer: -2757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of 3*h**5\/5 - 109*h**4\/4 - 382*h**3\/3 - h + 567. Find the third derivative of j(s) wrt s.\nAnswer: 72*s - 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, i: 1}. Give prob of sequence ti.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 496660.\nAnswer: 2, 5, 19, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6\/113 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 4331533494 to the power of 1\/2, to the nearest integer?\nAnswer: 65814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1241 - 1240. Let o be (-34)\/(-8) - (-3)\/(-12). Sort 3, -3, o, c in increasing order.\nAnswer: -3, c, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2495 (base 12) to base 11\nAnswer: 3129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) -4  (c) 6.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0593 - -0.24818?\nAnswer: 0.30748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 495 or 489?\nAnswer: 489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -24 - 12?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the third derivative of 0 + 131\/6*r**3 + 0*r**6 - 13\/10*r**7 + 0*r**5 + 199*r**2 + 0*r**4 + 0*r. What is the first derivative of p(n) wrt n?\nAnswer: -1092*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 113 - 111. Is 26 a factor of ((-1130)\/(3 + -8))\/(2\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/21168 and -69\/42400.\nAnswer: 56095200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l = -5*k - 44, -4*k + 508 = 2*l + 538 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/427000 and -3\/6832?\nAnswer: 854000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 + 5\/((-15)\/(-114)). Let m = 17 - t. Let i = m - -62. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 4*z - 4 = -0, -2*z = -3*t + 1. Let x = 0.02 + 0.38. Which is the biggest value?  (a) 2\/9  (b) x  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 AM and 5:11 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 - 14 + 27 + 3*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -13 + 18 + y - 3*y - 16. Let k be j(-5). What are the prime factors of -4*k\/12*(124 - 1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 4*s + 79 - 15, -5*m + 195 = -3*s. What is the remainder when 92 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 2*d**2 - 34*d + 100. What is z(10)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 3799594*u. Let h(d) = 19*d - 2. Give h(s(q)).\nAnswer: 72192286*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -167*s + 626 = 23*s - 324 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 9:11 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*z**3 - 103*z**2 - 38*z + 39*z - 153*z**2.\nAnswer: -3*z**3 - 256*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 9  (b) -4  (c) -3\/2  (d) 0.12  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**2 - q - 1. Let j(p) = p**2 - p - 2. Let l(w) = 7*c(w) - 6*j(w). Let m be l(0). Suppose 118 = 3*z - m*x, 3*z + 2*x = -65 + 169. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*g*l**3*p*x**2 - 2*g*l**3*p + g*l*p*x**2 - g*l*p - 3*g - 174*l**3*p - 2*l**2*p*x**2 + 108*l**2*x**2 + l*p wrt l.\nAnswer: 12*g*p*x**2 - 12*g*p - 1044*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - ((2 - -1) + -10 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 103 + -9. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1212 - -1842. Is 45 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 451 = -1151. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10*g**4 + 0*g - 21*g + 17*g**4 - g**4 wrt g.\nAnswer: 312*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 67224*l**6 - 30517*l**2?\nAnswer: 8066880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -51 - -47. Let h be (-4 - w)\/(-1 + 4). Solve 5 + h = 5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*o = 7*o + 372. Let s = o + -93. Suppose s = -4*m + 3*m + 5, 0 = g - m + 32. Is -26 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 + -2. Let u = p - -19. Let z = -0.05 - 0.25. What is the nearest to 1\/2 in z, 0.5, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/48*((-15)\/20)\/(-1)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.105 - 3.895. Let w = 2 - g. Is -12 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -63, -766, -2101, -4068, -6667, -9898?\n\"Answer: -316*i**2 + 245*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 114 - 83. Solve 4*s - h = -2*i - 7, -3*s = 3*i - 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.6 - 0.4. Which is the fourth smallest value?  (a) 0  (b) m  (c) 0.2  (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 0*d = 111. Does 16 divide (d - -3) + (-15)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-6)\/(-16))\/(3\/(-2)). Let m = 876 + -875.579. Let v = m + -0.221. Which is the second smallest value?  (a) -1\/5  (b) v  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*t - 36 - 74. Suppose 35 = 15*q - t. Solve -q*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, 444, -5, 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.678961 months to millennia.\nAnswer: 0.00022324675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -67 + 188 - 67 - 71 + 8*i - 2*i. Calculate p(-4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9152*l - 15762*l - 9597*l as q*l + w and give q.\nAnswer: -16207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/390 and -53\/720?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*b = -13*b - 8. Does 5 divide (b\/12)\/((-2)\/(-276))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*6 + (37 - 45).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-32)\/12 + 4)\/(6\/9). Suppose -k*a + b + 19 = 0, 0*b + 27 = 3*a - b. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 7, -5, 12 in decreasing order.\nAnswer: 12, 7, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 132 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 53533*b*m**3*r**2 + 31*b*m*r**2 - 105*m**3*r**2 - 2*m**3 + 1749*m**2*r - 8*m*r**2 wrt b?\nAnswer: 53533*m**3*r**2 + 31*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 2*f - y + 4, 17 = 4*f - y. Suppose -x - 344 = f*b - 7*b, 344 = 4*b - 2*x. Is b a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-174)\/(-232) + (-4649)\/(-4).\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.8968185 minus 0.15937?\nAnswer: -7.0561885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -4, -5, -3, -23, 6 in decreasing order.\nAnswer: 6, 1, -3, -4, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 0\/(-5) - (-1817 + -4 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1290*z - 1298*z + 2*z**2 + 2588*z + 43.\nAnswer: 2*z**2 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) -1  (c) -3\/475\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/7 + 16\/56. Calculate the remainder when 11 + 6 + -2*(-1 - g) is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-118)\/236)\/(2\/(-189276)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-2\/9)\/(((n*n**5\/n)\/n)\/n)*n\/((((n**(4\/9)\/n)\/n)\/n*n)\/n)*n*n**(-2\/31) assuming n is positive.\nAnswer: n**(118\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 4106 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 - 3. Suppose -3*t = w - 70, -u*w = t - 12 + 2. Let h(j) = -j**2 + 8*j - 2. Calculate the remainder when t is divided by h(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40302 is divided by 184.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 3*j + 92 = j, 121 = 5*n + 3*j. Let i = -38 + n. Let x = 3 - i. Calculate the greatest common factor of x and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes before 1:31 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 31395\/(-2002) - (0 - 16). Let b be -2*2*(-1)\/4. Is b != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-5)\/16)\/((-5)\/2))\/(3\/(-9)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 96.77923 millilitres?\nAnswer: 0.09677923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 376*v**2 - 48*v + 112. Let d(o) = -75*o**2 + 10*o - 22. Determine -29*d(n) - 6*u(n).\nAnswer: -81*n**2 - 2*n - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ljltjlllljlljljlljl. Give prob of picking 3 l and 1 j.\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -3*h - 6 + 6. Let p(o) = 2*o. Determine p(d(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 935836721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5337599\/85265 + 2\/17053. Which is bigger: z or -64?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 1866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-46)\/(-69) - (-1 - (-10)\/(-3)). Let x(k) = -4*k - 5. Let b(v) = v + 1. Determine q*b(g) + x(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - -790b8a?\nAnswer: 790b8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1820714057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -36*i - 68 + 248. Solve 0 = -m - 5, 2*m = i*s + m - 25 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 268 - 245. Suppose l*b - 31464 = -13*b. What are the prime factors of b?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*i - 22*i - 232 = 11*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 320 + 311 - 631 - a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the first derivative of 13*i**4\/4 + 5*i**2 + 1. What is the second derivative of o(l) wrt l?\nAnswer: 78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 37*s + 2. Let x be b(1). Suppose 40*c - x*c - 15 = 0. Calculate the remainder when 72 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 5*d + 6. Let o(c) = -12*c - 69. Let y(q) = 4*q + 24. Let m(b) = 6*o(b) + 17*y(b). Let l be m(d). Calculate the greatest common factor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 + 15 + 2*l**2 + 3*l)*(2*l**3 - 4*l + 4*l).\nAnswer: 4*l**5 + 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00003747323 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 187928 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 242 + -212213231?\nAnswer: -212212434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 - -35?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from {s: 12, z: 1, b: 7}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(-9)*7\/(70\/255). What is the second smallest value in 2\/3, l, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1961*s = -302*s - 286*s + 158038 for s.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 x, and 1 i when three letters picked without replacement from {x: 4, i: 3, r: 4}?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -83364*q - 833696. Determine m(-10).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -103, 5, -1.\nAnswer: -103, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((f**(7\/2)*f)\/f)\/f)\/f)\/f**(2\/11))**(15\/2) assuming f is positive.\nAnswer: f**(435\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = -4*o + 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119) + -5*-1*sqrt(119))\/sqrt(7).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -16*s. Let k(a) = -6*a + 25*a - 18*a. Determine p(k(f)).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 539665 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17233\/9 - 238\/(-1071)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 6*v - 41. Let s be r(7). Let j be 1 - (-1 + 16\/9). Which is the second biggest value?  (a) -3  (b) j  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 9 - -6 - 5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of h**5\/20 - h**4\/6 - h**3\/2 - h. What is r in s(r) = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19090 is divided by 847?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2124 (base 11) in base 10?\nAnswer: 2809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 51293 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: Let r = -843 + 852. Suppose 42 = 3*c - 2*c. What is the remainder when c is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -7992962 and 4.\nAnswer: -7992958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 5*i - 6. Let b(p) be the first derivative of p**2\/2 - p - 62. Determine -4*b(f) + d(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 34 and 0.0577?\nAnswer: 33.9423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 179 a factor of 31903680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0 - 1)\/(4\/(-34732)). Suppose 5*j - 3*f - 14462 = 0, 2*j = 5*j + 4*f - r. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4941)\/(-3294)*(16\/(-282))\/2.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -206041\/202 + 1020. Which is the second smallest value?  (a) -5  (b) -3  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -31185 by -1485.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 21 + -21. Suppose 5*v - 51 - 24 = a. Suppose 0 = -10*o + v*o - 100. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 77254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(720) + 3*(sqrt(720) + 2) + -2)**2.\nAnswer: 384*sqrt(5) + 11536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -7 and 1933428941314?\nAnswer: 1933428941321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 79253 by 3.\nAnswer: 79253\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 155313.\nAnswer: 3, 17257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**2\/5 + 29473*a\/10 + 7368\/5.\nAnswer: (a + 14736)*(2*a + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1\/18 - 344172\/(-269352)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y**3\/5 - 3188*y**2\/5 + 657318*y\/5 + 400140 = 0 for y.\nAnswer: -3, 247, 1350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5814 = 99*v + 72*v. Solve v = -3*l + 52 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*w = -30*w - 912. Let g = -1 - -1. Suppose g = -3*l - 0 + w. Solve -l = -n - n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -70004 + 73471.9. Round l to the nearest 10.\nAnswer: 3470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -3\/529?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -18 times -12.3368\nAnswer: 222.0624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -100179, -200202, -300197, -400164?\n\"Answer: 14*d**2 - 100065*d - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7943.99 - 7944. Do -0.0538 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 639 and 738.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 3*k + 15, -3*k - 5*q = -0 - 3. Let d = 4 + -2. Sort k, d, 0.\nAnswer: k, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 2*n - 20. Let a(s) be the third derivative of 0 - 3\/50*s**5 + 0*s + 3*s**2 - 1\/15*s**3 + 1\/10*s**n + 1\/75*s**6. Factor a(l).\nAnswer: 2*(l - 1)**2*(4*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2\/11  (b) -0.2  (c) 5  (d) -0.5  (e) -23  (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 817, 20, -2\/1947 in ascending order.\nAnswer: -2\/1947, 20, 817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:24 PM and 10:27 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 6 = 4*n, -689*o - 8 = 5*n - 693*o for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 7)*(4*r - 3*r + r) - 3*r - 2*r - 4*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5587 is divided by 5367.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 699+1503.48222\nAnswer: 2202.48222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 5191 divide 2484152154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4900)\/343*(-1281)\/305.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-247470)\/32996*(-8)\/(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12601412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -57 - ((-103 - -44) + 15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/4 or -4455674?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 0 + 5)*(-3*o - o + 6*o) - o + 0*o + 0*o + (3 + 4 - 6)*(-3 + 3 - 4*o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1be5e - 9e6?\nAnswer: -1c955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 46, 2\/13, 2\/3, -2, -0.2, 53?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 201478?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 29700 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -51 and 47.\nAnswer: -2397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 517 is divided by 102.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3664242372?\nAnswer: 2, 3, 7, 2153, 20261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -9155, -9156, -9157?\n\"Answer: -m - 9154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*d + 11*c - 13*c, 0 = -4*d - 2*c + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5274 + -5269. Let n(d) be the third derivative of 0*d**c - 23*d**2 + 3\/2*d**3 + 0*d**4 + 0 + 0*d - 13\/120*d**6. What is the derivative of n(w) wrt w?\nAnswer: -39*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that u**2\/7 - 112160*u\/7 - 16023 = 0.\nAnswer: -1, 112161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -98 + 102. Suppose g*w + 30663 = -92537. Round w to the nearest one thousand.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c + 169 = -2*y - 2*c + 55, 23*y - 2497*c + 1273 = -2493*c for y.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 6746937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + (8 - 21) + -130 - -20.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/(-115))\/(-2 - 1) - 0.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4 and -516.\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-b - b + 3*b)*(-5 + 0 + 4)*(0 - 8 - 16) to p + d*b and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -2, 4, -190, 0.02 in decreasing order.\nAnswer: 4, 0.02, -0.1, -2, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v - 52 - 13. Suppose 4*f - v = -4*t - 1, 4*f - 8 = 0. Let r(x) = 22*x**3 - x**2 + x - 1. List the prime factors of r(t).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 46804.03 micrograms to kilograms.\nAnswer: 0.00004680403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26, -4, 7, 2, -8, -1 in descending order.\nAnswer: 26, 7, 2, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -2 - 2 - s**3 + 7*s + 0*s + 5*s**2. Suppose 4*v - 5 - 39 = -4*i, 0 = 4*v + 5*i - 49. Let z be g(v). Solve -p - 5*f - 18 = 9, -4*p + 2*f = -z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.233 to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 2*u**3 - 16*u**2 - 7*u - 140. Is r(26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -773, 2\/13, -2, 0.03, 3 in decreasing order.\nAnswer: 3, 2\/13, 0.03, -2, -3, -773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -155 - -134. Which is smaller: u or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 3*u - 45 = -2, 0 = -4*j + 2*u + 38. What is the highest common factor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 41996?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/7 - (246\/112 + -3).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -5*o**3 - 3*o**2 - 5*o - 3. Let a = 63 - 60. Let c(p) = 4*p**3 + 3*p**2 + 4*p + 2. Give a*c(q) + 2*w(q).\nAnswer: 2*q**3 + 3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 334 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -408870 divided by 16\nAnswer: -204435\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 379.75 micrograms to tonnes.\nAnswer: 0.00000000037975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -26*j**3*u - 4*j**3 + j*u - 24*u wrt j?\nAnswer: -156*j*u - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**3 + 5*b**2 - 2*b - 8. Let h be v(-5). Suppose -h*x = -4*q - 32, 0 = -2*q - 0*q - 10. Solve -5*a - 3*d + x + 23 = 0, -22 = -4*a - 2*d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(4\/3) - 14\/168*16?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 36 - 62. Let k = -105 - c. Let w = k + 78.99766. Round w to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, 1, 2, -3 in decreasing order.\nAnswer: 2, 1, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3810*m = -3*w + 3826*m - 32, -2*w + m - 2 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-30)\/(-3)*(3 + 1). Suppose d = 5*d - q. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 921735313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 6 - 3)*(-6*r**3 + 4*r**4 + 2*r**5 + 6*r**3).\nAnswer: -2*r**5 - 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the first derivative of 20*w**2 + w + 60367. Let k(i) be the second derivative of i**4\/3 - 2*i. Calculate k(x(c)).\nAnswer: 6400*c**2 + 320*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -5*l**3 - 2*l**2 + 6*l + 6. Let i(s) be the third derivative of s**6\/20 + s**5\/30 - 7*s**4\/24 - 7*s**3\/6 - 6*s**2. Give -7*a(u) - 6*i(u).\nAnswer: -u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 g, and 1 v when three letters picked without replacement from geexxgggzzzv?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 4*m**2 - 182876*m + 365736 = 0.\nAnswer: 2, 45717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 7\/(-28)*(0 - 4). Is o*4*(-14049)\/(-126) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/5 in 1.282, 1, 3\/25, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.05 - 2.05. Let a = 2 - 2.25. Let d = 1.656 - 1.456. What is the smallest value in a, d, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*s - 2*s - s)*(3 - 6 + 4) + 2 + 7*s - 2.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6 - 4) + 7*-2. Let p = b - -12. Suppose 86*y - 82*y - 1528 = p. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 21 - 14. Suppose -3*g + 66 = 5*r, r + 3*g - i = -1. What is the remainder when 44 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the second derivative of -f**5\/10 - 4*f**4\/3 - f**3 + 17*f**2 - 70*f. Calculate the remainder when l(-8) is divided by (-112)\/(-6) - 4\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**2 + 7*d + 97. Determine n(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Total of -29178.519 and 0.1.\nAnswer: -29178.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 47880 and 292068.\nAnswer: 2920680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 148 and 863358.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 175\/73 + 59\/219. Let -2\/3*d**3 - 10\/3*d - 4\/3 - h*d**2 = 0. Calculate d.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9.95 + 0.05. Let b = 11 - g. What is the closest to 1\/4 in b, -4, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -63*u - 308. What is t(-17)?\nAnswer: 763","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1868873 is divided by 934192.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 1 + 2)*(18*i**2 - 14*i**2 + 9*i**2)*(2*i - 3*i + 0*i).\nAnswer: 78*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.032 or 8\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 - 5)*(-61)\/(-2). Let f = 65 + d. What is the remainder when f is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2478 and 291?\nAnswer: 240366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -179932237\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o = -z - 14, -152*z + 149*z - 2*o = 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g**2 - 2*g**2 + 0*g**2)*(g + g**3 - g) + 28*g - 2 + 22*g - 52*g - 158*g**5.\nAnswer: -160*g**5 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 59995 and 401505?\nAnswer: 5219565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -436\/645 - -2\/215. Let k be (-41)\/(-20)*2 + -4. What is the nearest to 0 in q, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 16, 27, 36, 43, 48, 51?\n\"Answer: -i**2 + 14*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-3)*6\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -60.3 + 105.9. Round w to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 2*t + 6. Let b(z) = -7*z - 22. Determine 6*b(i) + 22*p(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -51729 * -8228\nAnswer: 425626212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -2*a + 16, 6 = -60*d + 57*d + 3*a. What is the nearest to -1 in d, 3, 11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3630612 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 2 d when three letters picked without replacement from {x: 7, i: 2, d: 9, r: 1}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1631 + -1426. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 9 - 1)*((-a**4 - 2*a**5 + a**4)*(-4 - 13 - 20) + a**5 - 5*a**5 + 3*a**5).\nAnswer: -511*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1163050 is divided by 193395?\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-975)\/(-975))\/((-1)\/(-7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*(m\/(m\/m**(-5)))\/m)**(-3\/14)\/(m\/m**(-24)*m*m)**(3\/7) assuming m is positive.\nAnswer: m**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 285 a factor of 20906175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 57262 - -2.\nAnswer: 57264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**2 + 1. Let d be g(1). Suppose 0 = 3*m - d*y + 3*y - 6, 0 = -2*m + 4*y + 28. Suppose 4*k - m*k = -28. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2595 by -519.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 23 and 1370179?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 320203321 (base 4) to base 5\nAnswer: 24403143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -5*n + 3. Let v(o) = 8 + n - 3*o - 11. Let l(x) = 7*x. What is v(l(s))?\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -438266, -438273, -438290, -438323, -438378?\n\"Answer: -s**3 + s**2 - 3*s - 438263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**3 + 12*u**2 + u + 6. Let o be (-142)\/(-12) + 2\/12. What is the remainder when (102\/(-18))\/((-1)\/9) is divided by b(o)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3888 is divided by 280.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.2 - 0.4. Let i = 0.3 - w. Let v = -4.97 - 0.03. Put -2\/9, i, v in decreasing order.\nAnswer: -2\/9, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 153 - 198 = 0. Suppose 2*u - 7 = -o*r + 14*r, 3*r = 5*u + 10. Solve 0 = n + 3*n - 4*l + 4, u = 3*n - 4*l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the first derivative of d**10\/560 + d**6\/60 - d**3\/3 + 6. Let b(g) be the third derivative of n(g). Find the third derivative of b(h) wrt h.\nAnswer: 1080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3.02 - 0.02. Let h = -160186 + 160186. What is the nearest to h in -2, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -183055338 smaller than -183055340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/4 + (-1173)\/(-68). Suppose -l + 0 = -6*m. Let p(i) = 5*i - 9*i + 1 - 4 + m*i. Calculate p(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**4 - i**3 + i. Let k(m) = m**4 - 4*m**3 + 3*m**2 - 2*m. Let j(b) = -k(b) - 2*n(b). Factor j(x).\nAnswer: -3*x**2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the second derivative of -m**4\/72 - 4*m**3\/9 - 4*m**2 - 2*m + 64. Factor r(c).\nAnswer: -(c + 4)*(c + 12)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74 = 4*i + m, 5*i - 2*m = 21 + 78. Let q = i - 115. Let y be (-42500)\/((-4)\/q*-2). What is y rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-3) - 10\/60.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2555*j - 296*j + 1740*j + (-3*j + 5*j - 3*j)*(-5 + 1 + 2) + 2*j - 2*j + 2*j.\nAnswer: 4003*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**3 - 4*c**2 - 8*c - 3. Let s be v(-3). List the prime factors of 15\/20 + ((-675)\/s)\/(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4\/53, -1\/4, 4, 2, 0, -0.256?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((sqrt(156) + (sqrt(156) - (5*sqrt(156) + sqrt(156))))*-3 + sqrt(156) + sqrt(156) + sqrt(156)))\/(3*sqrt(108) - sqrt(24)\/(sqrt(2) + sqrt(2)*1)).\nAnswer: -120*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*q - 47*q + 8*q.\nAnswer: -74*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2. Let t(p) be the second derivative of 7*p**4\/12 + 7*p**3\/6 + p**2 - 4121*p. What is 6*j(h) + t(h)?\nAnswer: h**2 + 7*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*o**3*v**2 - 54947*o**2*v**2 - 778956*o*v**2 + 3*o + 2*v**2 wrt o?\nAnswer: 36*o*v**2 - 109894*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -17*f + 11. What is y(5)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -3*l**2 + 34*l - 11. Let h be a(8). Solve 0 = h*j - 52 + 535 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -157\/128 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71*z - 76*z = 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (-3 + (1 - 2)) - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -456, -483, -480, -429, -312?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -206*d. Let m(i) = -1219*i + 17457. Let w(j) = -29*j + 414. Let v(k) = 6*m(k) - 253*w(k). Give v(p(s)).\nAnswer: -4738*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40484*o - 40491*o + r + 38 = 0, -11 = -4*o - 3*r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000006349 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 plus -31.94?\nAnswer: -33.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g + g + 12. Let t be g - ((2 - 0) + -1). Let o be ((-6)\/t)\/((-2)\/(-5)). Solve 4 + 13 = -p + 3*h, 4*h = o*p + 31 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -220652 (base 8) to base 3\nAnswer: -10202201110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 218 is divided by 76.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 41 + (-88 - -53) + (-1 - -24)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*g + 48*g + 25*g + 1.\nAnswer: 61*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x = -6*x - 139. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/106?  (a) 3\/8  (b) -1\/4  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 130 a factor of 87243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 2*o**2 - 6*o - 3. Let w be j(6). Suppose -w = -5*n + 2*n. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -3 - 3. Let u = x - -1. Suppose -2*o + 8 = z, -o + 29 = u*z + 11. Solve 0 = -o*t - 0 - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 158 a factor of 12434600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0*(2 - 5\/2). Let z be (p\/6)\/(1*-2). Let i be z + (-4)\/(-120)*4. Is i <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1586.910062 rounded to the nearest ten?\nAnswer: -1590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 2.5, -1.07, -3\/4, 5, -0.04 in descending order.\nAnswer: 5, 2.5, -0.04, -3\/4, -1.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 108017176*c*d**2 - 1102*c*d + 61838*c wrt d.\nAnswer: 216034352*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**6\/(c*c**(-1\/6)))\/((c\/c**(-1\/3))\/c)**(-1\/4))**(4\/39) assuming c is positive.\nAnswer: c**(7\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8349, -33405, -75171, -133653, -208857, -300789, -409455, -534861?\nAnswer: -677013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes before 11:44 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 86 and 946?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-20)\/70 + 10\/(-14). Is f > -1\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 37, 41, 49, 61, 77, 97, 121?\n\"Answer: 2*k**2 - 2*k + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2397842767?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 60, 50, 46, 48, 56, 70?\n\"Answer: 3*q**2 - 19*q + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -139.404 and 7?\nAnswer: 146.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 4*g**5 - 160*g**4 - 608*g**3 + 71808*g**2 - 683712*g + 1824768 = 0.\nAnswer: -22, 6, 18, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -10395484330 to the nearest one million.\nAnswer: -10395000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2133677 and 1274.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from btthbh. What is prob of sequence hh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 take away -10822?\nAnswer: 10821.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/2081 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18 - -27 - ((-6)\/(-2) - -2)) + 6622\/(-1659)?\nAnswer: 2\/237","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + 1 - -2*(-6)\/(-4). Suppose 7945 + 328 = 5*x - a*g, 3*g - 6640 = -4*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 6 + 4, -3*y = 4*h - 484. Suppose 0 = -167*s + y*s - 427. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 102 - 401?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 69 - -2. Let i = -120 + r. Let s = 70 + i. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/21*5*12\/20?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010 (base 3) in base 5?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -6*2\/(-4) + -1. Let v(o) = y*o**2 - 3 + 3 + 1. Let g(t) = 4*t**2 + 3. Let l(n) = 4*g(n) - 7*v(n). Let z(k) = k**2 + 3. What is 3*l(j) - 5*z(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1292)\/342 - 4\/18. Let a be -3 - (-19 + (-3 - j)). Solve -4*k - 22 = -2*y, -5*y - a = 3*k - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -2911*t + 90169. Determine d(31).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -560 = -7*w + 679. Suppose 8*t = 473 - w. What are the prime factors of t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1460368 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 2. Suppose l + 2 = -w*l, -250 = -b - 4*l. List the prime factors of b.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 9*i - 52. Let g(c) = 25*c - 143. Let j(w) = -4*g(w) + 11*v(w). Let y(m) = -37*m. What is y(j(l))?\nAnswer: 37*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 72, -0.04, 1\/25 in descending order.\nAnswer: 72, 1\/25, -0.04, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -204*c**3 - 2*c**2 - 1. Let a(o) = 2*o**2 - 3*o - 3. Let h be a(2). Is x(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the second derivative of -m**3\/3 - m**2\/2 - 10*m. Calculate j(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 82 + -82. Let d be (-2 + 1)\/((-3)\/15). Suppose 4*n - 9 = -2*o - 3, 2*o = -d*n + 8. Sort 1, m, n in descending order.\nAnswer: n, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 30972 or 0.01?\nAnswer: 30972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 7309 divided by -412\nAnswer: -7309\/412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = -16*z - 64. Which is the third smallest value?  (a) -4\/9  (b) -0.4  (c) z  (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 2*y - 26. Let u(p) = 2*p - 26. Calculate -4*u(k) + 5*x(k).\nAnswer: 2*k - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 14) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-208)\/(-8))\/13)\/(12\/36).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 65, -507, 2 in ascending order.\nAnswer: -507, 2, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 479037984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -13837540*t**3 + 9162837 wrt t?\nAnswer: -41512620*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*b**3*g*u + 80*b**3 - 3*b**2*g + 2*b*g*u + 2*b*g - 1120*b*u - 2*b + u wrt b.\nAnswer: 30*b*g*u + 480*b - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*b - 452415 = 13*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from {h: 1, a: 3, b: 8, f: 5, e: 3}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 1\/3  (b) 0.1  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -219 - -257. Calculate the remainder when p is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 419*n - 5830. What is the least common multiple of i(14) and 1644?\nAnswer: 4932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10000000001011 (base 2) to base 16.\nAnswer: -200b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 641.37 + -7.37. Sort 3\/4, 5, t.\nAnswer: 3\/4, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50*n**2 - 71*n**2 + 9*n - n + 100*n**2.\nAnswer: -21*n**2 + 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4554 and 1783788?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 242744 and 704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 6, 33, 1, -255 in descending order.\nAnswer: 33, 6, 1, -4, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -68962, -137876, -206776, -275656, -344510, -413332, -482116, -550856?\nAnswer: -619546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((-2 + 0 + sqrt(275) + -3)**2 - (2*-5*(sqrt(275) + sqrt(275) + sqrt(275) + 1 + sqrt(275)))**2).\nAnswer: -879600 - 8100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1234658417?\nAnswer: 73, 683, 24763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3649?\nAnswer: 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 59313262 to the power of 1\/2, to the nearest integer?\nAnswer: 7702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71 is divided by 23.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-9)\/15 + (-3247)\/(-2420). Let d = l + 1\/121. Which is the smallest value?  (a) d  (b) 4  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 25*w**4 - 8*w - 68. Let g(c) = 17*c**4 - 5*c - 45. Let z(q) = -8*g(q) + 5*m(q). Find the first derivative of z(n) wrt n.\nAnswer: -44*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 144*y**2 - 12*y - 7. Let b be u(-1). What is the highest common factor of 12218 and b?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 752 + (5 - 3)\/(-1 + 3) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 times 0.0035527\nAnswer: 0.0106581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1631668175 to the nearest integer?\nAnswer: 40394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, 3, 15, -4, -707, 1.\nAnswer: -707, -4, -2, 1, 3, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.58?  (a) -0.02  (b) 0  (c) 31\/9  (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 4*n - 5 = 0. Let c = n + 1. Suppose c = -x + 2*q + 3, x + q = -0*x - 9. Which is smaller: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7573 - 7421 - 26*d + 47*d - 6*d to the form v + t*d and give v.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 827?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1847699110.\nAnswer: 2, 5, 184769911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 - 2. Let x = -0.7 - -0.6. Is q >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:02 PM and 12:28 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 2*l - 6 - 157, -4*c = 4*l - 368. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -159\/4388 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1032\/645)\/((-4)\/30).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 smaller than 63\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -58\nAnswer: -5\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/8*((-16)\/27)\/(-4). Which is bigger: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z = -c - 2, 3*c + 0 + 7 = 5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/18 of a week in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*g + 14*g - 5*l + 12974 = 0, 0 = -3*l - 15. Let j = 95301\/22 - g. Find the common denominator of 5\/18 and j.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3522 and 117?\nAnswer: 137358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 55\/3 - (-2)\/(-6). Suppose 139 - 29 = -2*y. Let p be (-24)\/(-11) - (-10)\/y. Calculate the greatest common factor of s and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*g - 2945815 + 2945713 = -3*t, 4*t - 172 - 56 = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-5 - (-13)\/(-1))\/1. Is -19 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = z + 4*c, -28*c + 6*c + 28*c + 32 = -2*z for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**3\/10 - 483491*v**2\/10 - 6768727*v\/10 - 23690373\/10.\nAnswer: -(v + 7)**2*(v + 483477)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -66886 and -0.1658.\nAnswer: 11089.6988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-58)\/4 - (-2505)\/(-1670)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 9977594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 208 = 164*a - 112*a. Solve a*t - 16 = -4*v - 8, 6 = 3*v + 4*t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/6*52\/(-104))\/(6\/(-90)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 22397 = 3*l, -4*l - 6*a + 29880 = -4*a. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p + 0*p - 4*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 - 23 + 15 - 2*m**4)*(-1 - 4 + 4).\nAnswer: 2*m**4 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**2 + 10*d - 11. Let o be z(8). Suppose -4*i + o = 1. Calculate the least common multiple of 1\/i*(-6 + 8) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-24)*2)\/(5\/(-15)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*h*u*z**3 - 258*h*u*z**2 + 129*h*u - 130*u*z**3 + 3*u*z**2 + 12*u*z + 15*z wrt h.\nAnswer: 3*u*z**3 - 258*u*z**2 + 129*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 211279240 a multiple of 796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 0*z = -10. Suppose 0 = 3*g + z*g. What is the units digit of g - 1 - -10*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 4*k + 22 + 2*k - 2*k. Let n be h(0). Solve -3*l = n - 19 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*p = -112 - 88. Let j = p - -722. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19 - 3. Suppose -4*y = -q + 3*q - 8, -3*y - 6 = 0. What is the highest common divisor of g and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 336 = -4*v + 8*v - 4*n, 78*v - 73*v + 60*n = 66*n + 508 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -451, -5, 0, -0.4, -702 in descending order.\nAnswer: 0, -0.4, -5, -451, -702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -v**2 - 2*v**2 + 6 - 2*v + 0*v**2 + v in the form x + j*v**2 + b*v and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32307772?\nAnswer: 2, 7, 1153849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -46, -81, -116, -151, -186, -221?\n\"Answer: -35*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1)*(w*w**(-1\/4))\/w)**(-28)*((w*w**(-4\/3))\/w**3)\/(w*w\/w**(-4)*((w*w**(5\/6))\/w)\/w) assuming w is positive.\nAnswer: w**(155\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3168.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*u**4 + 212171*u**2 - 1545383*u wrt u.\nAnswer: 24*u**2 + 424342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (488\/(-1342))\/((-26)\/11).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-4) + (28 - 302\/18)\/(4\/18)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-4))\/((-8)\/32*-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 792\/47 - 13701\/470. Let p = -37 + 20. Find the common denominator of p and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 115*n + 1324 = -117*n - 42*n, 5*n + 31 = f - 46 for f.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -358473, -358472, -358471?\n\"Answer: u - 358474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81*i + 8 = -65*i - 8. Suppose 4*a + 4 = -3*o - 9, -3*o = 2*a + 5. What is the remainder when i is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 + 18*v**2 - 2*v + 41. Let a be w(18). Factor 0 - 6\/5*k**4 + 4\/5*k**3 + 0*k + 0*k**2 - 8*k**a.\nAnswer: -2*k**3*(4*k - 1)*(5*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12386, -12646, -12910, -13178, -13450, -13726, -14006?\nAnswer: -14290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 366 - 346 = 0. Suppose 435 = p*q - 113. List the prime factors of q.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70 + 14 = 2*m + 4*l, m - 5*l - 49 = 0. Let a = -21 + m. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, -2, 176?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the second derivative of -3*t**5\/4 - t**4\/6 - t**3\/3 - t**2\/2 - 2*t. Suppose 0*a + a + 1 = 0. Is l(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 16, p: 4}. What is prob of picking 1 e and 3 p?\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -49 + 49.39. Let j = -212 - -134. Let k = j + 81. What is the biggest value in 5, k, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1081*l**3 + 40*l**2 - 1539515 wrt l?\nAnswer: -3243*l**2 + 80*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 605744 - 3044463\/5. Let x = -2864 - 295. Let o = d - x. Calculate the common denominator of 79\/26 and o.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/71?  (a) 2  (b) -91  (c) 0  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28505*t**2 + 398935*t**2 + 53518*t**2.\nAnswer: 423948*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3790694 centuries in months?\nAnswer: 454.88328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -12963, -11, -1, -5, -2 in descending order.\nAnswer: 4, -1, -2, -5, -11, -12963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of 4*j**2 + 5*j - 443\/4*j**4 + j**3 + 0. Let u be i(8). What is u rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/5  (b) 2\/5  (c) -2721  (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-92)\/(-8) + (-3)\/6. Suppose 0 = -s*w + 6*w + 4205. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 30*l + 160. What is the hundreds digit of q(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -33a3a17 - -4?\nAnswer: -33a3a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 5*o + 1, o + 1 = 4*k - 100. Let p be (k\/(-21))\/(8\/(-28)). Suppose -w = p*v - 17, 4*v + 2*w + 14 = 8*v. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 8 = -o. Let k be ((-2)\/3)\/((-12)\/o). Factor 1\/2*u**2 - k + 0*u.\nAnswer: (u - 1)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + 35 - 7. Let j = 6 + -6. Suppose j*r = r, -4*r = 5*q - 60. Calculate the remainder when q is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -73 - -73.42. What is o rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - 0. Let m be 3 + c\/6*0. Let y = m + 3. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -263*k - 1654. What is p(-9)?\nAnswer: 713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -300673, -300672, -300671, -300670, -300669, -300668?\n\"Answer: n - 300674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 283 - 172. What is the greatest common divisor of o and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45414 is divided by 1296?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 180 and 42660?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-78)\/(-65)*(-140)\/378\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -57522 - -14723?\nAnswer: -42577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 93891500 rounded to the nearest 1000000?\nAnswer: 94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -10061 at most -10736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 408731 is divided by 293.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9 - -99. Is 15 a factor of 298\/5 + 36\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00002023092546 to 6 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 58175911 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -49*h + 270. Let m be t(5). Let l be (-3)\/(-5) + 584\/10. Let s = l - m. 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: What is the derivative of 2473*y - 2473*y - 28 + 8*y**4 wrt y?\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.145 - -1244.145. Let h = 719 - r. Let w = h - -529.38. What is w rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -113*y - 107 + 672 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 507099108.\nAnswer: 2, 3, 107, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -3501*c + 27. Let k be p(-12). Is (-4)\/14 + k\/63 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -493 + 348 = 17*h - 349 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1227, 1591, 1955?\nAnswer: 2319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-540)\/(-63)*(-7)\/(-2). Solve -5*i - i = s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25717089 - 25717089 + 352*o.\nAnswer: 352*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1000212 + -2012?\nAnswer: -1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 371 + -373. Let s be ((-212)\/742)\/((-1 + 0)*x). Put s, 4\/3, -3 in ascending order.\nAnswer: -3, s, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/1080 and 17\/648?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/5, 1\/7, -1\/5, 2\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -31276.2 rounded to the nearest 100?\nAnswer: -31300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -2*t**3 - 36*t**2 + 3. Let n be u(-18). Let k(m) = -m - 1. Let f be k(0). Let o be (-1 + f + n)\/7. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 4*a = 10*f - 3232, f - 635 = -3*a. What is the greatest common divisor of 184 and f?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 2 e when three letters picked without replacement from {d: 1, s: 1, n: 1, t: 2, e: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*l**2*v**4 + 2*l**2*v**2 + 23*l**2*v + 20*l**2 - 132*l*v**4 - 8*l*v + 13*v**4 wrt v?\nAnswer: 168*l**2*v - 3168*l*v + 312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -2398 + 3*h + 2369 + 3*h - 3*h as m*h + n and give n.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -11*r - 114. Let w be j(-10). Let s be (-368)\/46*(550\/w)\/5. Are s and 219 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**2 - 2679*b + 161544. Determine s(59).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + 201033?\nAnswer: 201031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 3 c when four letters picked without replacement from {s: 1, r: 1, b: 2, z: 2, c: 10}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -642*n**2*r**2 - 5909*n*r**3 - 1837038*r**3 wrt n.\nAnswer: -1284*n*r**2 - 5909*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:29 PM and 12:45 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -l - 2 + 0*l + 2.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-90)\/(-975))\/((-612)\/(-5967)).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 6 = 5*y, -y + 4*b - 3 = 3*b. What is the nearest to -0.2 in y, -4, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 631345255.8 to the nearest 100000.\nAnswer: 631300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 17402481*n**2. Let r(h) = 10*h**2. What is z(r(p))?\nAnswer: 1740248100*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) -9.438  (c) 0.15  (d) 33  (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t - 8 + 4. Let y be (8\/(-12) + t)*-12. Calculate the highest common factor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -696*g - 2050. What is the tens digit of r(-25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**2 - 526827*w + 8429488.\nAnswer: -(w - 16)*(w + 526843)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z - 176 - 4*z**3 - 7*z**2 - 8*z - 3*z**2. Let r(a) = -a**3 - 3*a**2 - 2*a - 59. Let o(p) = 2*f(p) - 7*r(p). Is o(0) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63393 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -1, 619, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 1313535588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/1566 and -43\/1972.\nAnswer: 53244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24225348 is divided by 631?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/2 + (-169)\/(-26). Calculate the highest common divisor of i and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-513)\/18)\/19)\/(-1 + -14)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -233, -706, -1179?\nAnswer: -1652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**2 + g + 1. Let t(x) = -5*x**2 - 3*x - 3. Let l(c) = -t(c) - 3*u(c). Let z(d) be the first derivative of 5*d**2\/2 + 160. Give z(l(b)).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(495) + (sqrt(495) + -1*sqrt(495)*-1 + sqrt(495) + sqrt(495) - sqrt(495)))\/(2*sqrt(441)))\/((1*sqrt(22)*4)\/(sqrt(288) - sqrt(2))).\nAnswer: 1 + 11*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 836784 and 42042?\nAnswer: 451026576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 + 2*q**2 + 24. Let p(f) = -82. Let m(u) = 411. Let h(t) = -m(t) - 5*p(t). Give 6*h(c) + y(c).\nAnswer: c**3 + 2*c**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -5*i - j, -5*i - 8 = 4*j - 5*j. Let t = i + 28. Let p = -22 + t. Solve -p*d + 9 = -8*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 15*h - 12. Let q(p) = p + 1. Give 2*q(y) + t(y).\nAnswer: 17*y - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/4 + (-645)\/1634 + 32580\/15390.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -9 - (4\/6 - (-5)\/(-3)). Let n(i) = 2*i**3 + 17*i**2 + 7*i - 7. Let t be n(d). Which is smaller: -1\/16 or t?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:47 AM and 1:54 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 127\/340 and 33\/476.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 - (-1 + 1) - 0. Suppose -3*r - 4*i = 202, 2*r + 260 = -t*r - 3*i. Let c = -27 - r. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**3 + 5*b**2 - 57*b - 17. Determine u(7).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 10*m**4 + 2*m**2 + 17*m. Let y(u) = 10*u**4 + 3*u**2 + 18*u. Let n(x) = 3*t(x) - 2*y(x). What is the second derivative of n(j) wrt j?\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-40)\/(-42))\/(-10))\/(27\/(-3024)*-32)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 391626, 783241, 1174856, 1566471?\n\"Answer: 391615*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -57 - 3?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/242, -18.27, 4, -5, 1\/10 in ascending order.\nAnswer: -18.27, -5, -1\/242, 1\/10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes before 7:39 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 43 = -23 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -222 minus 6908955?\nAnswer: -6909177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1\/7, 2, 2\/3, -60519, 0.4, -5, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(11) - sqrt(77)\/sqrt(28) - (2*sqrt(396))**2) - (sqrt(110) - 5*sqrt(110)*1)\/(sqrt(160)\/sqrt(4)).\nAnswer: 3*sqrt(11)\/2 + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5072*x - 2493*x - 7885*x.\nAnswer: -15450*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -2*k**2 - 238*k - 1377. Give u(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1718182 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 95?  (a) 4  (b) -4  (c) -0.2  (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.091 + 0.162. Round m to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 330 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -998757*j*w + 23172746*w + 3 wrt j?\nAnswer: -998757*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 61719633 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8281 + 8290. Solve -324 = -45*r - i*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -12*w**2 + 20*w - 20. Let u(g) be the second derivative of -g**4\/12 - g**3\/6 + g**2\/2 - 1621*g. Give -k(c) - 20*u(c).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -19.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -110*f**2*q**2 + 2*f*q**2 - f*q + 331*q**2 wrt f?\nAnswer: -220*f*q**2 + 2*q**2 - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 4*v - 34. Let w(a) = 3*a - 23. Suppose -3*x + 5*q = -2 + 6, -2*q = 3*x - 31. Let g(n) = x*w(n) - 5*y(n). Let s be g(-7). Solve z = -4 + s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7274 - -7272. Let t be 4\/14 + (-159)\/336. Let p = t + 11\/16. What is the second biggest value in 0, p, 1\/6, b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34174134411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 102*f + 12572 = 109*f. What are the prime factors of f?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*f**3 + 344*f + 579*f + 649*f - 499*f - 12*f**3.\nAnswer: 2*f**3 + 1073*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1111*r = -3*a + 1099*r - 69, 29 = -3*a - 4*r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -290 + 289.733. Let o = n - -0.2670109. Round o to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.117013 to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -324 - 616 = 470*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 703213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -1019.4 to the nearest 10.\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 3670\/240) + (52\/40)\/(8\/80)?\nAnswer: -7\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 23081 in 4, 5, -0.4, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is eight thirds of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -16*o**5\/7 + 1194*o**4\/7 - 11710*o**3\/7 - 49680*o**2\/7 - 6952*o - 11904\/7 = 0. Calculate o.\nAnswer: -2, -1, -3\/8, 16, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/(-1))\/((-2)\/(-3)). Suppose -o = -q*v + 8 - 1, 3 = v. Suppose k + o*k - 9 = 0. Solve -2 = -2*g + k*s - 6*s, 4*s - 21 = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 - k - 5*k + 9*k + 18*k**2 + 4 in the form u*k**2 + x*k + z and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 52 + 754. Suppose 2*i + 0*n + 5*n = 1597, -i - 5*n = -m. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.42 - 1.22. Sort 2\/15, l, 9 in descending order.\nAnswer: 9, l, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5.564 + -0.03175\nAnswer: 5.53225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(9)\/sqrt(3)*-5 - sqrt(3))*-5.\nAnswer: -2 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -6, 7, 1\/7, 0.08, -0.1, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.254, 5, -1\/9 in decreasing order.\nAnswer: 5, -1\/9, -0.254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 12042913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -86\/146967?\nAnswer: -86\/146967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r + 10 - 9 + 0*r + r. Let l be x(1). Suppose 2*u = l*u - 12. Solve 0 = 4*z - 4 + u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -26 + 15 - (-303)\/27. Let b = 0 + 0.2. What is the closest to b in -2\/3, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 666*c**2 - 335*c**2 - 327*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the first derivative of -57 + 0*s - 3\/2*s**2. Let a(u) = 31*u. Determine a(c(h)).\nAnswer: -93*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -339 = -0*n - 3*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(891) + -1 + 4*-1*sqrt(891) + sqrt(891) - (-3 + sqrt(891) + -6*1*sqrt(891)))**2.\nAnswer: -162*sqrt(11) + 8028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3786 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of -3*r**2\/2 - 33*r + 97786. Let o(x) be the first derivative of x**2\/2 + 1. Give o(m(q)).\nAnswer: -3*q - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 128 - 185. Let s = m - -82. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -37*k**5 + 39660*k**3 - 5*k**2 - 72031532*k wrt k.\nAnswer: -740*k**3 + 237960*k - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 548*d + 397807 = -545*d, 4*h + 4*d = 1591212. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-7 + 8)\/(-1*3\/51). Let u(a) = -2*a + 6. Let f be u(4). Let i be f\/(-4) + 175\/(-10). Is i <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/170)\/((12\/110)\/((-4076)\/(-33627))).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(-1))**(41\/5) assuming n is positive.\nAnswer: n**(82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2260466309 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 144 + 15112?\nAnswer: 15256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -31*u - 17. Let g be h(-1). Suppose 19*o - g*o - 55 = 0. Solve 2*f + o = -3*w, 5*w - 5 = -3*f - 22 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136*m = 103*m - 1912 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*w**2 - 17*w + 242 - 255 + 15*w wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 - 6*k - 2. Let u(q) = 2*q**2 + 13*q + 4. Suppose 0 = 3*h + h + 3*x - 31, 2*h + 2*x = 18. Suppose h*g + 3*g + 28 = 0. What is g*u(l) - 9*z(l)?\nAnswer: l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h = 1831 - 1816 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -8362662 divided by 363594\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 344*w**5 + 63644*w**4 - 391764*w**3 + 328084*w**2 + 792316*w + 9168 = 0. What is w?\nAnswer: -191, -1, -1\/86, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.2782 - 0.0218. Which is smaller: 9.52 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 3005, 10850, 23509, 40976, 63245?\n\"Answer: -v**3 + 2413*v**2 + 613*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*w + 18 + 96*w - 6 - 69*w - 16*w**2.\nAnswer: -16*w**2 + w + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 40 - 35. Let d be 0 - ((-1)\/1 - 16). Let r be d\/5 - (-10)\/(-25). Which is the nearest to 2?  (a) 0.1  (b) m  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -17 + 21. Suppose 2 = 2*p - 4. Suppose p*l = -l + 3*y - 1, -5 = -g*l + y. Solve 3*u = l*u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 3 a when four letters picked without replacement from aaaaaaaaazaaaaa?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*a**2 + 2*a - 2*a + (0 - 4 + 2)*(0*a**2 - 5*a**2 + 6*a**2)*(-5239 - 1679 + 1192).\nAnswer: 11455*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 25\/2 + -12. Let l = -303 - -301.51. Let r = l - -0.99. Which is the second biggest value?  (a) v  (b) r  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.95648+-12.9\nAnswer: -13.85648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -178 - 34 = -53*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2551715ug in kilograms?\nAnswer: 0.0000000002551715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*j - 10 = 13. Let t(d) = -4*d**2 + 3. Let x(h) = h**2 - 1. Calculate j*x(k) - t(k).\nAnswer: 3*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 935.\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5.2 - 5.281. Let m = p - -1.481. Let l = m + -1.5. What is the closest to l in -5, -1\/7, 1\/11?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -22 - -27. Put 0.054, w, -1\/6 in descending order.\nAnswer: w, 0.054, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 2*y + y - 12 - 3 + 0*y. Suppose 3*o = 29 - 5. What is the least common multiple of n(o) and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -103*k + 19*k + 50*k.\nAnswer: -34*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-11)\/((-66)\/(-6)))\/(42\/(-3))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 176392 divided by -5188?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 666 + -388. Let r = s + -278. Solve r*v - 8 = -4*c + 2*v, 3*c = -2*v + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 264881 from -28.06.\nAnswer: -264909.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 8:28 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 565714.1 millimeters to nanometers.\nAnswer: 565714100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1 * 3.390866\nAnswer: -3.390866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 + -6. Let j be (5 + 1)\/(q\/24). Suppose -17 = -4*h - 0*h + 3*i, 19 = 3*h - i. Calculate the highest common factor of j and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 10*f + 344. Determine r(43).\nAnswer: 774","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2451762 divided by -9?\nAnswer: 272418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1462*a**5\/3 - 495622*a**4\/3 + 42248770*a**3\/3 - 40883458*a**2\/3 - 83400824*a\/3 + 228488\/3 = 0.\nAnswer: -1, 2\/731, 2, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(270)*-1*6 + 2*sqrt(270)*1))\/((sqrt(48)\/(sqrt(6)\/sqrt(3)))\/((sqrt(112)\/sqrt(4) + sqrt(28))\/sqrt(7))*2).\nAnswer: 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 590100516 and 1908.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2260 and 0.\nAnswer: -2260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the first derivative of -z**2 - 24*z + 2. Suppose 124*r + 295*r = -6285. Calculate c(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - t - 42 = 14, -112 = 4*l + t. Let p = 1084 - 961. Let g = p - l. List the prime factors of g.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/320*30*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/(-15) + 1828\/10. Let x be 2 - (p\/39 + -3). Is x equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -2*c. Let x(z) = -z**2 - 2*z + 2. Let q(y) = -y + 1. Let o(g) = -10*q(g) + 5*x(g). Give b(o(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, l: 3, w: 5, p: 4, j: 5}. Give prob of picking 2 w.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83*a + 205 = -82*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - 805\/(-56) - 147\/392.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 - 5. What is the closest to -2\/3 in -0.4, l, -14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7488 take away -0.17?\nAnswer: 7488.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (5 + -11)*2\/3. Let l(g) = g**2 + 5*g + 4. Let i be l(y). Let d = 402 + -400. Solve i*v + v - 7 = -3*p, 0 = 3*p - d*v - 22 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2778 a factor of 744284648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4501820 and 2480?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -63 + 58 + (-250)\/(-8). Let z = l + -47\/2. Which is the nearest to 0.1?  (a) -3  (b) z  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 12 = o - 3*g, o - 3*g + 8 = 0. What is the remainder when o is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 2632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-4 + (sqrt(52) - sqrt(13))) + 3.\nAnswer: -3*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 94981 is divided by 3275.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and 20810?\nAnswer: 83240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (-14)\/(-4)*(25608 - -98) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -49 + 12*c + 23 + 26 to the form v*c + r and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-3*(sqrt(117) - (-5*sqrt(117) - sqrt(117))) + 3 + 2*sqrt(117))*2)**2*1.\nAnswer: -49248*sqrt(13) + 6083424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -4*r + 28. Suppose -13 = -2*y - 3. Suppose 3*t - 5*t - 64 = -5*m, 66 = y*m - 3*t. Calculate the least common multiple of r and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 78 = -4*a, 0*y = a - 3*y - 24. Suppose a*l - 1639 = 7*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 2*s**3 - 10*s**2 + s - 11. Determine q(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k - g + 17 = 28 - 12, 0 = -8*k - 5*g + 11 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 56 + -40. What is the second derivative of r*z + 49 - 49 - 12*z**3 wrt z?\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -26, -33, -44, -59, -78, -101?\n\"Answer: -2*k**2 - k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -837 - -837. Solve -5*t - w + 6 - 12 = c, t - w = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-359)\/(-5*(-19)\/(-285))?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 288 = -377. What is the common denominator of 13\/24 and 42\/(-224)*-2*c\/(-36)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i - 4*i + 1 + 3)*(6 - 29*i**2 - 6).\nAnswer: 29*i**3 - 116*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 11 = -4*x + 2*s, -3*x + 18 = s. Suppose 8*b = x*b + 9. Solve 0 - b = -3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from {b: 4, k: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*f + 637 = -249 - 323 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-70))\/(16640\/11648).\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 70*k**2. Let g(c) = 129*c - 4. Give j(g(d)).\nAnswer: 1164870*d**2 - 72240*d + 1120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*q = -37*q - 1400. Let n be (237000\/q)\/((-1)\/(-175)). Round n to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiuqb. What is prob of sequence ub?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -22340, -22331, -22322, -22313, -22304, -22295?\n\"Answer: 9*l - 22349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i. Let p be z(-2). Suppose -22 = p*m + 4. Let x be (-3 - -5)\/(m - -3). What is the second smallest value in x, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*s = -2*z - 10, -967*z - 5*s = -964*z + 11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 233473.\nAnswer: 23, 10151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 38 + -21. Solve -n - w = -4*j, 2*n + 5 = 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10011 (base 2) to base 9\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2117551 is divided by 91.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 1 + 5)*(z + z - z) + (-8 - 2 + 19)*(141*z - 78*z - 185*z) to the form i + k*z and give k.\nAnswer: -1096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.37078741635 to 5 decimal places.\nAnswer: -0.37079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 26*s**2 - 8 - 3*s**3 - 8*s**3 - 23*s - 4. Let r(q) = -2*q - 4 - 8*q**3 - 2*q - 4*q + 9*q**2 + 4*q**3. Let h(t) = 3*c(t) - 8*r(t). What is h(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2  (b) 3  (c) -0.016\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31 = 5*k + 21 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**2 + 11*w + 11. Let z be p(-10). Let j be -2*(z - (-7)\/(-2)). Solve 0 = 4*i - j - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 22307 + -22312. Which is the third smallest value?  (a) x  (b) -0.4  (c) -153.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 6*n - 7. Let w(b) = 12*b - 13. Let q(o) = -11*a(o) + 6*w(o). Let r be q(1). Solve s + 2*s = 12, 3*c + 2*s = r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/17, 15, -4.3, 2, 1\/10?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 603*j**2 + 1535*j + 9252. What is the tens digit of v(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -5*u + 60, -3*u + 3 = -5*r + 1. Let p = u - -1. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9126 times -0.3\nAnswer: -2737.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -3*j**2. Let r(z) = 5*z + 9. Let i(l) = 9*l + 8. Let y(n) = -7*i(n) + 6*r(n). Calculate v(y(c)).\nAnswer: -3267*c**2 - 396*c - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1*(-3 + (4 - 2)). Let i be 6\/27 - 0\/q. Let g = i - -1\/9. What is the closest to -1\/3 in -0.2, 1\/12, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2 + -5 + 3212\/8. Let n = 207748 + -1658909\/8. Let v = n - b. Calculate the common denominator of -53\/18 and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -19.569 - -0.069. Let l = -19 - q. Which is the third smallest value?  (a) -4  (b) 5  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 12:38 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 AM and 12:38 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 70917786 + 2.6.\nAnswer: 70917788.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(567) + sqrt(567)*2 + (sqrt(7) - -3*sqrt(35)\/sqrt(5)))**2 + (sqrt(70)\/sqrt(5))\/sqrt(2) + ((sqrt(14)*-4)\/sqrt(2))**2.\nAnswer: sqrt(7) + 6839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 5  (b) -3  (c) -1\/4  (d) 17.2  (e) -0.01  (f) 1.47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 less than or equal to 55656.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 - 9 = 5*p. Let v = p - -5. Let f be 2 + v + (-24)\/15. Is f equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 73409\/1131 - 839\/13. Let r = c - 1\/29. Suppose 4*f = f - 3. Which is smaller: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1029 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3080487*r**3 + 5*r + 42233871 wrt r.\nAnswer: 9241461*r**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 2*y + 6. Let f be w(-3). Suppose 4*p - 4*t + 0 = 8, f = -4*t + 12. Suppose 0 = -h - p, -i - 4*h + 40 + 8 = 0. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/3, 56, 24, 7\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8570 (base 9) to base 16.\nAnswer: -189c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -3*x**3 + 2*x**2 - 4*x - 3. Let h = 22 - 17. Let o(r) = 4*r**3 - 3*r**2 + 5*r + 4. Determine h*s(v) + 4*o(v).\nAnswer: v**3 - 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -10120122 (base 3) to base 10\nAnswer: -2609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 22, -1, 4 in decreasing order.\nAnswer: 22, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w + w**3 + w + 4*w. Let a(h) = h**3 + 5*h. Suppose -5*y - 2*p - 32 = 0, 2 + 3 = -5*p. Determine y*a(c) + 5*f(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -546 by 6.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h**5 - 2*h**5 + 3*h**5)*(-85 + 178 - 68)*(-1 - 3 + 1).\nAnswer: -150*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 2255*g**2 - 4633*g**2 - 3*g**4 + 3083*g**2 to n + i*g**3 + z*g**4 + l*g + k*g**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times 0.0891?\nAnswer: 0.4455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 + 8. Let u = 15 - t. Suppose -u = -d - 0. Let s(x) = -x + 4. Determine s(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5\/2 in -0.1, 1, 2\/7, 162?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -325 = -o - 4*o. Calculate the remainder when o is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 986*u - 984*u = 264. What is the greatest common factor of 20 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2916 by 1838.\nAnswer: 1458\/919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*y = -9*y - 24 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*n - 19*n - 3*z + 46 = 0, 0 = -2*n + 2*z + 56. Suppose 5*a + 39 = -b + 5*b, a = -3. Solve 5*d + n = b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2, 361053, 11, 0 in increasing order.\nAnswer: -2, 0, 3, 11, 361053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-12*c**3 + 79*c - 79*c)*(3*c - c - 5 - 3*c) in the form w*c**4 + k*c**3 + g*c + t*c**2 + j and give k.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 6*o = -2*o - 13, -5*i - 25 = -5*o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -3*i**3 - 4056*i**2 + 36752*i - 46. Calculate a(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.22 - -0.68. Let r = l + -0.4. Let f = -0.09 + 0.39. What is the nearest to 2\/7 in 0, r, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2\/7 - 136005608*s\/7 + 2312190675931208\/7.\nAnswer: 2*(s - 34001402)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*u + 0*u + 2*u + u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -23, -1, 6, 2, -5 in increasing order.\nAnswer: -23, -5, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.2, -2, 1.07, -1.4, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -2*u. Let k(m) = -324*m**2 - 37. Calculate b(k(c)).\nAnswer: 648*c**2 + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -422*f**2. Let v(s) = -2*s. Calculate v(n(b)).\nAnswer: 844*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -20097 - -20101. Solve g*b = 2*x - 16, 4*x = -19 + 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -545.98 or 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1854318839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 599, 738, 877, 1016?\n\"Answer: 139*i + 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -2316552?\nAnswer: -5\/2316552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(1\/6)*w*w*w**3*(w*w*(w\/((w**(1\/2)*w)\/w))\/w)**(-17) assuming w is positive.\nAnswer: w**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -cf (base 16) to base 3\nAnswer: -21200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*u + 5*x - 55, -6*x + 5 = -x - 50 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2974.36 millennia in centuries?\nAnswer: 29743.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -6\/7, 0.3, -0.5, 0, 1\/2, 17 in decreasing order.\nAnswer: 17, 1\/2, 0.3, 0, -0.5, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 137827?\nAnswer: 137827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 2*o - 37 = 5*c, -2*c = 5*o - 41. Let j = -6 + o. Solve 0 = -u + 2*z - 1 - 4, -j*u - z = 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -8 + (-11 - -20 - -17). Solve 5*b - 3 = -h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 102 is divided by (-7)\/(14\/4) - (-1 + -14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -72.79 - -72.29. Which is the third biggest value?  (a) 4  (b) 0.36  (c) -2  (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(325) + (0 + sqrt(325) + 5)**2 + ((sqrt(325) + 0 + -2)**2 - sqrt(325)) - (0 + sqrt(325) + -4 + 4)).\nAnswer: 125*sqrt(13) + 3395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4*2\/12 - (-112)\/21. Solve 20 = 2*q - h*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12*b**2*c*r**3 - 543*b**2*c*r + 3*b*c*r + 2*b*c + 6*b*r**3 + 1990*c*r**3 + 2*c*r wrt b.\nAnswer: 24*c*r**3 - 1086*c*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -26104645\/4 less than or equal to -6526162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the first derivative of 5*p**4\/2 - p**3\/3 + 5*p**2\/2 - 5*p + 1. Let m(o) = -10*o - 18. Let b be m(-2). What is the units digit of r(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 5*h + 2 = -22, -2*h + 6 = -4*l. Let w be -3*(l - 0\/(-2)). Let y = -1 - w. Solve 2*f + 9 = 5*n - 15, n + y = -3*f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 - ((8 - 5) + 25) - -11?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1097990322 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + -2*sqrt(11) - sqrt(11)) + (sqrt(66)*-2 + sqrt(66))\/sqrt(6))**2.\nAnswer: 16*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 69\/2 and 151\/25902.\nAnswer: 25902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -11, -14, -9, 10, 49?\n\"Answer: v**3 - 2*v**2 - 4*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -49*v - 53*v + 86*v + 233*v**2 - 5. Is s(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000093185 rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 165993 = -f, -2022*k + 2021*k + 165969 = f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103479134951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1421 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3\/10 and 24\/(-54) + (-92852)\/608040*-3?\nAnswer: 5630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rttrtrttttt. Give prob of sequence trtt.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -44.8 + 45. Which is bigger: t or -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 - -558851 - ((-5564)\/936 + (-2)\/36) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.6 and 18586.\nAnswer: -29737.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -10 + 10 - -10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**3 + 3*y**2 + y - 17. Is s(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:46 PM and 10:56 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 131816065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x. Let m(g) be the first derivative of 16*g**3\/3 + 13. Calculate j(m(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 143\/3010 and 27\/860.\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.3284 - -78.3284. Which is the nearest to 0.2?  (a) -5  (b) o  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 216 + -201041435?\nAnswer: -201041216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-21)\/9)\/(1237\/(-309) + 4). Let r = 1255 - s. Is 35 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 + v**2 - 2*v - 2. Let n = -31 + 33. Let s(o) = 5*o**3 - 5*o**2 + 9*o + 8. Determine n*s(i) + 9*m(i).\nAnswer: i**3 - i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -11 + 34*i**2 + 11 + 5*i**3 - 104*i**2 = 0?\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/(-6) + 12\/72. Let c = -0.1 - 0.1. What is the third smallest value in 0.2, t, -1, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j = 2*j - 4*o - 99, 3*j = -4*j - 3*o - 32 - 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.82 - -0.31. What is g rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -444*q - 430*q + 866*q - 65*q**2. Let s(l) = 22*l**2 + 3*l. Give 8*s(u) + 3*t(u).\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(-6\/5)\/d)\/d)\/d)**(-1\/19) assuming d is positive.\nAnswer: d**(21\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1060066 (base 10) to base 2.\nAnswer: -100000010110011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7840)\/800 - (-60)\/(-50)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 31\/22 + 12\/11. Let w = 4 - h. Let x = -0.4 + 0.6. Sort 4, x, w in descending order.\nAnswer: 4, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 324871289 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c**5\/7 + 4037*c**4\/7 - 4116499*c**3\/7 + 85070807*c**2\/7 - 398688400*c\/7 - 487879744\/7 = 0. Calculate c.\nAnswer: -1, 11, 2008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 2638 (base 9) to base 15\nAnswer: 8be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w + 7 = -23 + 2 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**2 - 138*b - 14809. Give v(-71).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2495419 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the second derivative of -1\/15*m**5 + 2*m + 0*m**3 - 1\/6*m**4 + 1\/3*m**2 + 0. Determine v, given that u(v) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6100069 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(35)\/sqrt(63))**2 + sqrt(55)\/(2*sqrt(1584) + sqrt(1584) - sqrt(1584)).\nAnswer: -25\/9 + sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*z - 43*z = -5358. Calculate the greatest common divisor of z and 1269.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 4 + 4 + -23 - (-3 + 1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 38 + ((-70)\/(-6) - (15 + 460\/(-30))).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*i - 3*i. Do 4 and i have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 22.7 + -24. Let r = -5.3 - s. Which is the closest to 1?  (a) -2\/11  (b) -0.4  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -28, -49, -66, -79, -88, -93?\n\"Answer: 2*p**2 - 27*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 672 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/3*(-71 + 73 - (-37)\/(-2)) + -44?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 25 + 160 = 0. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -36\/2993 and 11\/365?\nAnswer: 14965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -216.08951 - -216. What is h rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.1 and 0.05568 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 10*f**4 + 35*f**3 + 10*f**2 - 15*f = 0.\nAnswer: -3, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1*(-6)\/15*-15. Let p be ((-2)\/u)\/(1\/9). Let l(f) = 3*f + 4. Let w be l(2). Solve w = -r + p*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 24246 - 24245.9999989349. What is o rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 29*v**2*z**4 + v**2 + 7*v*z**2 - 12*v*z - 5*v wrt z?\nAnswer: 348*v**2*z**2 + 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4283 less than 1.5642?\nAnswer: -4281.4358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -13*y + 34 - 13*y - 11*y + 36*y. Let p(v) = v**2. What is p(i(a))?\nAnswer: a**2 - 68*a + 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3860 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -150621000 rounded to the nearest one million?\nAnswer: -151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 10, h: 4}. What is prob of picking 2 s and 1 h?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 2 - 1 + 5 + 4 + 2*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-925)\/(-30) + (-2)\/(-12). Solve 0 = -5*w + 15, -2*w = -9*f + 4*f - h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -414 + 1235. Let t = 0.100763175 + 820.891646825. Let p = b - t. Round p to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 1:14 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-18)\/3)\/((-6)\/21). Let p = 50 - v. What are the prime factors of p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 + 6 = -5*d. Suppose 2*m + 0*y - 3*y = 39, -4*m - d*y + 105 = 0. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/2 and -95\/82662398?\nAnswer: 82662398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11764 + 20340. Calculate the greatest common factor of p and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 + 3. Suppose -p + y*x = 2*x - 44, -4*x = 4*p - 200. Suppose -6*w + 3*w = -39. Calculate the remainder when p is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 1075*w**2 - 85*w - 61. Is i(-23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2023 + 20283\/10. Let v be ((-29)\/(-15))\/(145\/435). Let o = v - y. Which is the nearest to 2\/9?  (a) 1  (b) 5  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28, -79, -166, -307, -520, -823, -1234?\nAnswer: -1771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmzrzmw. What is prob of picking 1 m and 1 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3421 + -2981. Is 55 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -39.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 67221 - 9.8?\nAnswer: 67211.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 5*d - 1. Suppose -3*w + 6 = -3*n, -2*w - 4*n - 15 = w. Let l be b(w). What is the units digit of (-9)\/(-2) + (-9)\/l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -7*p**3 - 5*p**2 - 8. Let j(s) = 8*s**3 + 6*s**2 + 9. Let o(c) = -6*j(c) - 7*n(c). What is the smallest common multiple of 14 and o(3)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 354 - 348. Solve -3*s = 9*y - 11*y + 9, -2*y = p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 24*f - 713. Determine w(22).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 180.2926 - 148.405. Let j = 0.0124 + v. Let h = -32 + j. Which is the nearest to h?  (a) -3  (b) -1  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -30.072 to 1 decimal place.\nAnswer: -30.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -2*a + 5. Let x = -3 - -11. Let m(j) = -5*j + x*j + 0*j - 6. Let o = 13 - 18. Calculate o*c(k) - 4*m(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -37 + -25 + (-35 - -36) + -26\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes before 8:28 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-819)\/(-26) - 6 - 26. Let k = 1 + -1. Let m = k - 4. What is the third smallest value in 0.04, 1\/5, b, m?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*j + 29*j - 2440 = 0. Suppose 0*m = -2*m, 2*c - 2*m - j = 0. Does 61 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 7, g: 4}. What is prob of sequence tttt?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.2786 - -16.\nAnswer: 11.7214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 16\/(-28) + (-3888)\/(-42). Find the third derivative of -89*j**2 - k*j**3 + 16*j**2 + 22*j**3 wrt j.\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.6 - 1.1. Which is the closest to -1?  (a) k  (b) 1\/5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -313 + 317. Solve -2*r - 8 = -i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -795 + 793. Let x(c) = 4*c - 24. Let d(j) = j - 5. Give p*x(h) + 11*d(h).\nAnswer: 3*h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*-1*sqrt(152) + sqrt(152)*2*-2)\/(-2*sqrt(32) + (sqrt(8) - (sqrt(392)*2 + sqrt(392)))) + 5)**2.\nAnswer: 35*sqrt(19)\/12 + 15331\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/7 of a week in hours?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 3 o when four letters picked without replacement from oooooeoooe?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27585 divided by 9195.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -49 times 39864\nAnswer: -1953336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2891*b**5 - 1254*b + 2 wrt b.\nAnswer: 57820*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -32 - -31.9. What is the nearest to 2\/3 in -4, w, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1657*q**5 + 2*q**4 - 107*q**3 + 342*q**2 + 319*q wrt q.\nAnswer: 99420*q**2 + 48*q - 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 21 = -d, -14*a - d + 58 - 15 = -55 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 133 - -103. Let j = 835 - w. Suppose 5*u - 126 - j = 0. What is the greatest common factor of u and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1029 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t + 7. Let f be s(0). Suppose -f - 98 = -3*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*i - 6 = 54*i. Let a be i - (-6 - (-30)\/6). Solve -a*l + 12 = -2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 4*y**2 + y + 7. Let b(i) = 17*i**2 + 4*i + 28. Determine 2*b(l) - 9*m(l).\nAnswer: -2*l**2 - l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 28\/16*(-7)\/((-49)\/10)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 780 + -212. Suppose -3*u - r + k = -475, r - 5 = 0. Let q = u + -199. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 less than 91\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.4 and 0.0047.\nAnswer: -0.3953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 367244 is divided by 122015?\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes after 2:31 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bddc when four letters picked without replacement from {u: 1, b: 1, c: 4, d: 3, z: 1, w: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 712 - 680 = 5*s + 3*a, 3*s = -3*a + 30 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6511 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -644\/921 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -7*x**4 + 1123*x**3\/7 + 2493*x**2\/7 + 203*x + 100\/7 = 0?\nAnswer: -1, -4\/49, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 3*l = 3*h - 10, -2*h = 5*l + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2\/47 - 81\/799. What is the nearest to 0.1 in 5, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*341961.99\nAnswer: 170980.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-9)\/35*25\/(-15). Suppose -7*n - 5 = 2. Sort -6, 2\/3, n, o in increasing order.\nAnswer: -6, n, o, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1908 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -2*m - 5. Let s be v(-3). Let j be s\/3 - (-400)\/(-48). Is 20 a factor of 1*79 - (-2)\/(-6 - j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(65)\/sqrt(5) + ((sqrt(143)*1)\/sqrt(11))**2 + 3 + 1 + sqrt(117)\/sqrt(9) + sqrt(13) + sqrt(13).\nAnswer: 4*sqrt(13) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 103*h. Let n(o) = 447*o**2. What is x(n(b))?\nAnswer: 46041*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4096 - -4094. Let f = 0 + -0.2. Which is the biggest value?  (a) 0.1  (b) k  (c) f  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, f: 2, u: 2, z: 3}. Give prob of sequence hz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -161*y + 297*y + 10322 = -261*y for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 + 0. Let a = 18 - 13. What is the derivative of a*y - o - 2*y - y wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 - 110?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 3 - k - 3 + 2*k - 3*k. Let t(x) be the second derivative of -4*x**3\/3 + 2*x. Determine t(m(u)).\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ovtipopttt. What is prob of picking 1 t, 1 o, and 1 p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -2*w**3 + 13*w. Let z(l) = -l**3 + 6*l. Suppose 165 - 39 = 21*a. Determine a*h(o) - 13*z(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -785 and -25.\nAnswer: 19625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001992655164 to 7 decimal places.\nAnswer: -0.0000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -29 - 32. Let h = 63 + l. What is the units digit of (54\/(-12))\/(h\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = i - 4*i + 4*d + 6, 0 = -i + 4*d + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*a**2 - 47*a**2 + 13*a**2.\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 43101387 divided by -1.\nAnswer: -43101387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**2 + 4*n - 8. Let b(k) = -k**2 + 38*k - 249. Let s be b(37). Let v = s - -263. Calculate the remainder when v is divided by h(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = g + 3. Suppose 0 = -o + x - 1 + 7, 5*x + 10 = 0. Let t be (1 + g)*(-10)\/o. Solve -2*l + 5*a + 0 = -3, t*l - a = -4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 178 is divided by 57?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/1148 and -13\/35741504.\nAnswer: 250190528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 1 i when three letters picked without replacement from {k: 11, i: 2}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 110 divide 75522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.183 + -2.983. Which is the fourth biggest value?  (a) -2\/5  (b) n  (c) -79  (d) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:40 AM and 12:01 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 926, 919, 926, 953, 1006, 1091, 1214, 1381?\nAnswer: 1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide (-27)\/(-1*33\/1342)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 979295817?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 28\/22125 and -12\/8001875.\nAnswer: 24005625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**2 - j - 1. Let l be 2*(2 + -1 + 0). Suppose 0 = -2*t - l*t. Let r be (t*3\/6)\/(-1). What is o(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 298418*u - 18. Let c be f(1). Round c to the nearest ten thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -167*b - 67. Is r(-2) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-54)\/12)\/(1275\/(-30)))\/((-27)\/90)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 238.4466t to milligrams.\nAnswer: 238446600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 + 0. Let d(t) be the second derivative of -t**5\/20 + 5*t**4\/12 + 5*t**3\/6 + 2*t**2 - 410*t. Determine d(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 188130 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 2*t**3 + 176*t**2 - 530*t + 4. Let l be k(3). Solve 55 - l = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -84*z**4 + 11070*z**3 + 2*z**2 + 29354975*z?\nAnswer: -1008*z**2 + 66420*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 70 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3077371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**6)**(-1\/35)*h**(13\/5)\/h**0)**(2\/95) assuming h is positive.\nAnswer: h**(34\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -102*x + 2654. What is v(26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w + 3*t + 117, 45 = -2*w + 3*t - 43. Let p = -35 - w. Let n(r) = 2*r + p - r - r**3 - 2*r. Calculate n(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 264 and 51480?\nAnswer: 51480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*(j\/(((j\/(j*j*j**(-11)*j))\/j)\/j)*j)\/j*j)\/(j*(j\/(j**(12\/5)\/j*j*j))\/j*j))**(38\/5) assuming j is positive.\nAnswer: j**(-494\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 8 = -4*o + 2*u, 5*o = 3*u + 28. Let b be -1 - 17\/(-2 + 1). Suppose j - o - b = 0. Is 24 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 85\/48 and 25\/38112.\nAnswer: 38112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 1429 divide 22105196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fhph when four letters picked without replacement from {p: 2, h: 2, f: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 170808\/71170*3\/(-924)*(2 - -8)?\nAnswer: -6\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 7*s - 3. Let m be b(2). Let k(q) = 2*q - 3. Let y be k(3). Solve y*g - 2 = -m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10611 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9.2999963 - -9.3. What is r rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 15\/86 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -95 + 94. Let g = -12 + 14. Which is the second smallest value?  (a) l  (b) g  (c) 1  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 58256 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:01 PM and 5:55 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -50.99 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2 - 10*p - 4. Let l be h(10). Let d(g) = -g**2 - 3*g + 4. Let r be d(l). Suppose r = 4*w + 3*s - 1519, -266 - 1632 = -5*w - 3*s. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -46360*j**3 + 305*j**2 + 305*j. Let v(p) = 305*p**3 - 2*p**2 - 2*p. Let a(y) = 2*q(y) + 305*v(y). Is a(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of -s**4 + 20*s**3\/3 - 8*s**2 - 7. Find v, given that a(v) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/11?  (a) 1\/42  (b) -9  (c) 0.05  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -26*c**3 + 8*c**2 - 28*c - 5. Let b(z) = 15*z**3 - 4*z**2 + 15*z + 3. Let o(l) = -7*b(l) - 4*j(l). Give o(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i - 4*y - 327, y + 3*y = 4*i - 264. Let l = i + -61. Let r(q) = 9*q**2 - 6*q + 6. What is the remainder when r(l) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the first derivative of 4*d**2 - 12. What is h(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -539 - -544. Suppose 0 = -5*d - w*r + 6540, 91*r + 3959 = 3*d + 87*r. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 166 a factor of 26228839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 10403020, 41611967, 93626872, 166447729, 260074532, 374507275, 509745952?\n\"Answer: -n**3 + 10402985*n**2 - n + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*g - 4*g. Suppose 3*q + g*q = 2045. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4957799256 to the power of 1\/2, to the nearest integer?\nAnswer: 70412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (14 + -21 - -25 - 15) + 17?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 621 - 6832\/11. Which is greater: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 13*h**2 + 6*h + 4. Let p(o) = -3*o**2 - o - 1. Let u(f) = -9*p(f) - 2*z(f). Give u(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -145 (base 11) to base 16\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -35 + 76. Which is bigger: s or 40?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - 10, -3*f + 7*r + 110 = 2*r. Let d be 15\/f + 50\/(-6). Let v = d - -39. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**4\/5 - 3*o**3 + 54*o**2\/5.\nAnswer: -o**2*(o - 3)*(o + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 + -11. Let s = t + 40. Let l be (-635)\/15*-3 - (-16 + 11). Calculate the highest common factor of l and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 222340535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 99537.\nAnswer: 3, 33179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 9080, 18168, 27256, 36344?\n\"Answer: 9088*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 539\nAnswer: -2\/539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 697.9294 millennia in centuries?\nAnswer: 6979.294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the second derivative of -w**6\/30 + 2*w**5\/5 + w**4\/12 - 34*w**3\/3 - 30*w**2 - 6282*w. Find y, given that t(y) = 0.\nAnswer: -2, -1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15 + 15.0246. Round n to 4 decimal places.\nAnswer: 0.0246","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 48 and 6281112?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9631\/12 - 803. Suppose -7*n = -6*n. Let r(o) = -o**3 + 48. Find the common denominator of r(n) and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -12, -64, -1923.\nAnswer: -1923, -64, -12, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -46215 + 2?\nAnswer: -46213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 147403?\nAnswer: 223, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 23.1 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**3 - 6*i**2 + 4. Let o be j(-6). Let p(q) = 4 + 20*q + q**2 + 5 - 24*q. What is the units digit of p(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -738.3174929 minus 0.05?\nAnswer: -738.3674929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -7 + (-4)\/(0 - -4). Let z be b\/6 - (-3 - 44\/(-12)). What is the tens digit of (-2)\/(z\/15)*16\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 52, 3\/4, 0.01, -1, -0.13 in decreasing order.\nAnswer: 52, 3\/4, 0.01, -0.13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -29 + 30. Solve -f - 5 + z = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2.9, -1\/7, 26, -0.3, 2\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 55984?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 16) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 132 and 891.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1769769*b*f**2 + 2*b*f + 15594244*b + 2*f**2 wrt f.\nAnswer: 3539538*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w - 4*w + 18. Let m = w - 14. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -987*s + 248*s + 247*s + 309*s + 223*s.\nAnswer: 40*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -377*w**3 + 9*w**2 + w - 4. Let r(n) = -378*n**3 + 6*n**2 + n - 3. Give -4*r(k) + 3*v(k).\nAnswer: 381*k**3 + 3*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = 2*g + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 19  (b) 4  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y**(1\/2)\/y)*y\/(y*y\/y**(-5)*y))\/((y*y\/(y*y\/(y\/((y**2\/y)\/y))*y)*y)\/y)**(1\/4) assuming y is positive.\nAnswer: y**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = -6*f - 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18, 36, 58, 84?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + 0*v = -3*v + 32, -2*d + 5*v - 28 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 2 - 1)*(418 - 381 - 1219)*(198*m - 198*m - 24*m**2) in the form h*m**2 + u*m + r and give h.\nAnswer: 28368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.1 or -1.023?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-472)\/9086)\/(1\/(-7)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*-15 + ((-456)\/30)\/((-406)\/1015)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/3 + 4*(-3)\/(-24).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.019172 to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-1)*p*p*p*p*p\/p**5*p*(p*(p\/(p**1*p))\/p)**(10\/11))\/((p**(3\/2)*p)\/(p*p**(-1\/2)*p*p))**(-6\/25) assuming p is positive.\nAnswer: p**(1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the first derivative of -w**6\/360 - w**5\/40 - w**4\/4 - 2*w**3\/3 - 71*w**2\/2 + 130. Let x(n) be the third derivative of h(n). What is x(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -7373 + -192?\nAnswer: -7555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**2 + 12 - 27 - 8*k + 4. Let z be i(10). Suppose 2*o + 7 - z = 0. Solve 0 + o = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -39  (b) -1\/65  (c) 0  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/3, 1, 0, 26, -61\/3, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 278.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 340 + -185. Differentiate -25 - u*j - 32*j + 124 + 43 wrt j.\nAnswer: -187","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44\/11*(-18)\/6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*a + 9*a = 488. Let b = a - -1139. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + t)*(-t - t - t) - t - 5*t**2 - t + 1 - t.\nAnswer: -8*t**2 - 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*j**3 + 11*j**2 + 13*j - 6.\nAnswer: -(j - 2)*(j + 1)*(8*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**2 + 6*l + 3. Suppose -i - 4*i + 2*w = -86, 4*w - 98 = -5*i. Suppose -46*u = -43*u + i. Determine a(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -174*g = -8*s - 171*g + 4, 0 = 3*g - 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**3 + 5*t**2 - 4*t + 3. Let w be f(3). Suppose -6*r - 9 = -w*r. Suppose 0 = 8*n - r*n - 285. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c**2 + 10504*c + 6895876 = 0. What is c?\nAnswer: -1313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 102963154*-4.\nAnswer: -411852616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13387, -13640, -13893?\nAnswer: -14146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 2\/30 + 22729\/7140 + -1 + -1\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-4)*g*g)**(-1\/9)*(g\/(g\/g**0))**(-45))**(-35\/3) assuming g is positive.\nAnswer: g**(-70\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 75, 178, 305, 468, 679, 950, 1293?\n\"Answer: 2*p**3 + 89*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -126*l**3*m - 53564*l**3 - 38216*l**2*m + 3*l - m + 50 with respect to m.\nAnswer: -126*l**3 - 38216*l**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*y**3 + 27*y**2 + 156*y = 0. What is y?\nAnswer: -4, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -30 + 18. Let u = 34 - p. What is the second derivative of -4*b**5 + 46 + 4*b - u wrt b?\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 10\/226879 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 - 9. Let d = 11 + w. Let o = d + -2. What is the biggest value in 3, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -43, 10, -3, 45, 4, -22 in decreasing order.\nAnswer: 45, 10, 4, -3, -7, -22, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -79*m**3 + 5*m**2 - 5*m + 10. Let r(p) = -3515*p**3 + 222*p**2 - 222*p + 444. Give -222*b(l) + 5*r(l).\nAnswer: -37*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, p: 1, c: 5, x: 1, f: 3}. Give prob of picking 3 c.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4.96 + -0.04. Let l = -89.2 + 85.2. What is the smallest value in l, -2, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + o = 718, j - 2*o - 234 - 3 = 0. Suppose -3*d + 32 = j. Let m be ((-40000)\/24)\/(1\/d). Round m to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1*(3 - 1) + -69. Let f = r - -577. Suppose t + f = 3*t - 2*h, 0 = -4*t - 5*h + 994. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(((r**0\/r)\/r)\/r))\/(r\/(r**(1\/5)\/r*r)))\/(r**(-2\/13)\/(r**(-5)\/r)) assuming r is positive.\nAnswer: r**(-172\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.14097, -3, -2, 0.3 in ascending order.\nAnswer: -3, -2, -0.14097, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 + v**2 + 2*v + 1. Let q be t(-1). Suppose w - 4*o - 3 = 0, -4*w + w - 5*o = -9. Sort q, -6, w in increasing order.\nAnswer: -6, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 6*o - 8*o. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -2*h**5\/15 + 1948*h**4\/15 + 58118*h**3\/3 - 79560*h**2 = 0?\nAnswer: -135, 0, 4, 1105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3034133 + -4?\nAnswer: -3034141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1507857886?\nAnswer: 2, 101, 809, 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -4332 (base 15) to base 13\nAnswer: -6620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84*o - 20088 = 12*o. Calculate the highest common divisor of o and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 145473963?\nAnswer: 3, 48491321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, -390, -1, 156 in descending order.\nAnswer: 156, -1, -12, -390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {s: 1, c: 2, b: 1, r: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -980*0.6\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 1\/66, 1\/4, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**(11\/8)*s**11)\/(s**(-3\/5))**(11\/5))**(-7\/6) assuming s is positive.\nAnswer: s**(-16723\/1200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1402.929 years in centuries?\nAnswer: 14.02929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*w - 9*w = 3*x + 924, -5*x + 2*w - 1540 = 0. Let k = -272 - x. Suppose 0 = 3*h - 160 - 50. Calculate the remainder when h is divided by k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 - 1. Let m(u) = -5*u**2 + 7. Suppose 38 - 14 = -4*t. Let a be t\/(-15) + (-32)\/(-20). Determine a*m(y) + 14*i(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (22\/(-33 - -11))\/((-38)\/(-4) - -1)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes after 6:44 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20571?\nAnswer: 3, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 2*j + 4*r - 7, -3*r = -5*j + 2. Let p be 6\/(-12)*(j - -58). Let a = p - -31. Which is bigger: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*r = -15*r - 3. Suppose 225*l - 222*l - 6 = 0. Solve -r = l*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (1 + (sqrt(119)\/sqrt(7) - sqrt(17)) + -5 + sqrt(1088))*-1.\nAnswer: -8*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the third derivative of -b**5\/60 + 56*b**4\/3 - 1469*b**2. Let x(y) = y**2. Give x(u(w)).\nAnswer: w**4 - 896*w**3 + 200704*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*b**3 - 26*b**3 + 6*b**3 + (5 + 7*b - 5)*(-2*b**2 + 3*b**2 - 3*b**2) to t*b + v*b**2 + l + r*b**3 and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((3 + sqrt(162) + sqrt(162) - sqrt(162))*-4)**2 - sqrt(162)) + 1 + (sqrt(8)\/sqrt(4)*-2 - sqrt(512)).\nAnswer: 837*sqrt(2) + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 + 4. Which is the smallest value?  (a) r  (b) -4  (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + 6. Let g = i + 2. Let w(x) = -3*x - 1. Let t be w(-1). Calculate the greatest common divisor of g and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 3, u: 17}. Give prob of picking 1 u and 2 s.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 = 4*v - 15. Suppose -5*n + v = 5*q + 3, -4*q + 18 = -n. Let l = -1.8 - -2.8. Which is the closest to l?  (a) -2\/5  (b) q  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (-2 + sqrt(612))**2 - (((sqrt(612) + -1)**2 - sqrt(612)) + 1 - sqrt(612))) + ((6*(sqrt(51)*-2 + sqrt(51)))\/(sqrt(108)\/sqrt(4)))**2*-6.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**30*d*d*d**11*d)\/((d**(-9\/7)\/d)\/d**(1\/16)) assuming d is positive.\nAnswer: d**(5191\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10.09 - 10. Let i = -0.91 - h. Let t = i + -3. Put -5, t, 0.5 in increasing order.\nAnswer: -5, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - -7. Let z(p) = -5 + 2*p**2 + 2*p + p**2 + g*p - 4*p**2. Let t(k) = -k**2 - 5*k. Let v be t(-4). Give z(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 53694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -126, -1250, -4350, -10416, -20438?\n\"Answer: -165*y**3 + 2*y**2 + 25*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 197 divide 319823400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*k - 4*o + 52 + 60, 130 = -6*k + k + 6*o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 14*p + 10. Let g(s) = -5*s - 3. Let u(v) = 6*c(v) + 17*g(v). Let h be u(6). Let i be (1 - (0 - -2)) + 8. Solve -2*o + i = h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25019 = 42*a - 22021. Suppose -632 = -1122*y + a*y. List the prime factors of y.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16800 and 13945200?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*k**3 + 9*k**3 - 9*k**3 + 43*k + 3*k + 8*k.\nAnswer: 2*k**3 + 54*k","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-17 - 6 + 1)*(-2*y**5 - 4*y**5 + 5*y**5).\nAnswer: 22*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 468 and 1404.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xall when four letters picked without replacement from {y: 3, x: 8, l: 3, r: 2, a: 3}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 - 2. Let m(x) = -46*x**2 + 11*x - 25. Let d(w) = 77*w**2 - 21*w + 46. Let c(o) = 3*d(o) + 5*m(o). Determine c(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1264bc - -5?\nAnswer: 1264c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 157, 50, 2 in decreasing order.\nAnswer: 157, 50, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1047366.\nAnswer: 2, 3, 31, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 945305957?\nAnswer: 23, 4157, 9887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 661380072 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(1300) + -1*(sqrt(1300) + -2)**2 - (sqrt(1300)*-1*1 + (-2*sqrt(1300) - sqrt(1300))*5)**2.\nAnswer: -334104 + 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2910\/4*(-28)\/(-21) + -5. Let x be (-6)\/45*5*(-3)\/m. Is -1 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 + -2 - 4\/(-6). Let h = -174 - -174. What is the closest to -2 in h, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18 + -15. What is the second biggest value in p, -2\/11, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/28187 and 117\/1886470?\nAnswer: 748928590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 13 + 1)*(-123 + 123 - 4*u) to g*u + s and give g.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94 - 43 - 92 + 229 - 4*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/442 and ((-6)\/52)\/(3 - (-1452)\/(-473)).\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**3 - 3*b**3 - 2*b**3 - 3*b**3 + 2*b**3 + 0*b**3 + 2*b**3 + 0*b + 0*b + (3*b - 2*b + 0*b)*(2*b**2 - 2*b**2 + b**2))*(-3*b + 3*b + b).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 852 + -493. What is the remainder when s is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 108, 206, 360, 570, 836, 1158?\n\"Answer: 28*k**2 + 14*k + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0153 less than -20555588060?\nAnswer: -20555588059.9847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes before 9:17 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, -1670.\nAnswer: -1670, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p. Let h be r(1). Let b = 3 - h. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -68.563 times 0.03302?\nAnswer: -2.26395026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1705577037 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/2)\/(3\/36).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 - 11*z**2 + 24*z - 23. Let u be x(9). What is the third derivative of 56*b**6 + u*b - 143*b**6 + 2*b**2 - 26*b**6 - 90*b**6 wrt b?\nAnswer: -24360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/2 + -1 - -4) + (-78)\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 minus 23329?\nAnswer: -23329.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48543861 divided by 1128927.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v - 6*v + 0*v)*(2 - 2 - 2*v**4 + (-4*v**2 + 3*v**2 + 2*v**2)*(v**2 + 3*v - 3*v) - 3*v**4 - 2*v**4 + v**4).\nAnswer: 15*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5, -5983, 32, -0.1, -0.5, 21?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 95129.\nAnswer: 251, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the first derivative of -3*x**2 + 3*x - 8. Let a(q) = -13*q + 7. Suppose 4*j - 3*j - 4*w - 21 = 0, 12 = -4*w. Calculate j*s(g) - 4*a(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13*p - 287*p**2 - 8*p**3 + 8*p**4 + 290*p**2 + 51*p wrt p?\nAnswer: 192*p - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1235897?\nAnswer: 13, 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 75*d - 79*d = -20, -4*d + 16 = 0. Let j = -7.03 - -7. Which is smaller: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*t + t + 9*t - 5*t - 3*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 122 + -121. Let j(p) be the first derivative of -2*p - 3\/2*p**2 + 26. Let r(q) = q + 1. Calculate n*r(f) + j(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**3 - 440 - 6*p + 155 - 14*p**2 + 145 + 149 + 15*p**2. What is z(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 9*y + 8. Suppose 0 = -d - 113 + 116. Let q(z) = 8*z + 8. Give d*q(s) - 2*u(s).\nAnswer: 6*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/5 and 8\/87.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 89.987 * 1.\nAnswer: 89.987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of 4*i**3 - 17. Let d(b) = -b**2. Determine w(d(c)).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -0*g. Suppose 4*l - 4 = -g*l. Solve -l - 2 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7 + -3 + (4 - 4). Solve -u*h + 25 = -9*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -7828a9 - 3?\nAnswer: -782901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1\/2  (b) -0.4  (c) 1.2  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b023e33 + 1?\nAnswer: b023e34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -12, 0.4, -6\/11, -1, 0, 0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9102971 a multiple of 1523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -340*n - 987*n + 273*n to the form w + o*n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30 and 2055?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -13*g - 30. Let h be -50*(g\/(-14) + 350\/(-196)). Solve -5*s + h = 55 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -386 - -386.31. What is s rounded to 2 decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:26 AM and 7:31 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 91 and 59897929?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 49757*f + f**2 - 281 + f**2 - 49753*f as a*f**2 + j*f + i and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, q: 1, g: 3, k: 1, v: 5}. Give prob of picking 1 g, 1 v, and 1 q.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -111344 + 2?\nAnswer: -111342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*s - 3*s - 4*s)*(0 + 0 - s**2)*(-s - 1 + 1).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -13921, -27831, -41741?\n\"Answer: -13910*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 41 - 16*r**5 + 73*r**5 - 83 - 22*r wrt r.\nAnswer: 1140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**4 - 5*j + 6. Let s(g) = -4*g + 5. Let z(a) = -4*c(a) + 5*s(a). What is the first derivative of z(n) wrt n?\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -10*a**2 + 122*a - 24. Let v(f) = -f**2 + 10*f + 1. Calculate -i(j) + 12*v(j).\nAnswer: -2*j**2 - 2*j + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2, -4, -211.\nAnswer: -211, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((-1*sqrt(1575)*6)\/((sqrt(36)\/sqrt(4)*3 - sqrt(9)) + sqrt(9)*1*-5))**2.\nAnswer: -2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 divided by -40.\nAnswer: -17\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*q = 6*q + 12. Suppose -6 = q*n - 4*n. Let a(k) = -k + 14. Is a(n) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 440 - 445. Sort 4, m, 1 in increasing order.\nAnswer: m, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 + -3. Let q(z) = z - 5. Let m be q(9). Suppose d + j = v - 2, 3*d = m*v - 23. Solve -v*t + 17 = 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the first derivative of 5\/4*d**4 + 0*d**2 + 2 + 0*d + 2*d**3. What is the third derivative of v(t) wrt t?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(2) - (-2*sqrt(2) + -5) - (sqrt(2)*-2 + sqrt(2) + 5)**2) + (sqrt(54)\/(sqrt(3) + sqrt(27)))\/(sqrt(99)\/(sqrt(11)*2)).\nAnswer: -18 + 27*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s - 15 = 6*s + b, -s + 3 = -b. Solve 0 = -j + 3*j - 2*p + 8, 3*j - 23 = -s*p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 19 = 75. Let m be 5\/((2 - 1)*1). Suppose m*a = f - 4. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i - 5. Let o = -2 + 2. Let k be s(o). Let p(c) = -c**3 - 3*c**2 + 5*c - 2. Is 18 a factor of p(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/36 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvo when three letters picked without replacement from oooooooovoovoooooo?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1281363567?\nAnswer: 3, 11, 38829199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, -5, -1 in ascending order.\nAnswer: -5, -1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 15*k**3 + 3*k**2 + 4*k - 13. Let u(f) = 8*f**3 + 2*f**2 + 2*f - 7. Calculate -5*u(i) + 3*y(i).\nAnswer: 5*i**3 - i**2 + 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in 1, -1.4, 0.6, 311, -4\/9?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/1380 and -26\/2745.\nAnswer: 252540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 39, 13, -45, -135, -257, -411, -597?\nAnswer: -815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -a + 3*u, 2*a = -7716*u + 7720*u + 10. Let b(q) = 2*q - 4. Let k be b(-4). Let m = 19 + k. Solve m = -4*j - a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w + 4*w + 645 = 0. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16983564 divided by 6.\nAnswer: -2830594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -507 + 983. Suppose 12 = -2*h, -1626 = -5*j + 43*h - 42*h. Let s = b - j. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 + 8*t**2 + t + 10. Let k be c(-8). Let q(v) = v**2 + 3*v + 3. Let p be q(-4). Suppose 3*s - p - 35 = 4*n, -k*s + 28 = 5*n. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 7*m**2 - 197*m - 19. Calculate g(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 431890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*w**5 - 165*w**3 - 514*w**2 + 2*w wrt w?\nAnswer: -180*w**2 - 990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 562, 1106, 1638, 2152, 2642?\nAnswer: 3102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - 1. Suppose 2*s - 7*s = -2*m - 7, -m - w = -2*s. Let 6*l - 4*l**2 + 2*l**s + 0*l**3 - 2*l**2 - 2 = 0. Calculate l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the first derivative of -628*w**4 - w**2 - w - 22. Is q(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -2*j + 3. Let k = 3 + 1. Let t be i(k). Let x = 1\/11 + 8\/33. Which is the smallest value?  (a) x  (b) t  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-7) + ((-41616)\/(-119))\/(-16).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-7)*o)\/(o*(o**(1\/6)*o*o)\/o*o))**(-2\/9) assuming o is positive.\nAnswer: o**(55\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1069 + 7487\/7. Let y = 8 + -11. Let m = y + 2.6. Which is the second biggest value?  (a) 2\/5  (b) t  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -d**2\/4 + 16275*d - 264875625 = 0.\nAnswer: 32550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 10*m**3 + 3*m**2 + 3*m + 1. Suppose -5165 = -10*d - 645. Let k = 451 - d. Calculate o(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 - -2. Let o(v) = 5*v**3 - v. What is the remainder when h + 4 + (-1 - -9) is divided by o(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iijjjjj. Give prob of picking 4 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2 + 18*i + 32. Let p be x(-16). Solve -z - 2*z = -2*q, 5*z - 2*q = p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**3 + 8*j**2 + 3*j + 20. Let i = -1047 + 1039. Give k(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -2*g**2 + g + 12. Suppose 5*i + 7 + 13 = 0. Let m be b(i). Let x = m - -27. Solve -5*h = -3*c - 23, -3*c - x = -h + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -154*s + 299*s + 5*m - 30 = 150*s, s + 4*m + 16 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m**2 - 2*m**2 + 3*m**2)*(248 - 248 + m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 713194710 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 14.9  (b) -3  (c) -15\/60568\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0, 3\/8, -4, -2\/45?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r + 3 = 3*x, -526 + 524 = -2*r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/2*(1 - -17). Let a be 1\/4*6\/x. Suppose -4*p + 164 = 168. Is a greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - 2*o = 2*o - 23, 4*k = 5*o + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 5, n: 6, f: 4, r: 1}. What is prob of picking 1 n, 2 y, and 1 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = 5*h - 2*j - 2665, 2*j = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -44 - -30. Let y = 49 + q. Find the third derivative of p**2 + 19*p**3 + 19*p**3 - y*p**3 wrt p.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-860)\/(-140) - (-1)\/(-7). Solve -5*g + c - 26 = 0, 4*c + 7 = -g + u*c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**0)**(1\/13)\/(f\/(f**(-4\/7)\/f*f)*f**(-1\/4)*f) assuming f is positive.\nAnswer: f**(-65\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1560 (base 8) to base 4.\nAnswer: 31300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 167*a**3 - 5*a. Let n(m) = -167*m**3 + 4*m. Give -4*n(u) - 3*t(u).\nAnswer: 167*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from ammaamzza.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 47209628927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -4, -280, 1045 in descending order.\nAnswer: 1045, 5, -4, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 8, i: 10, b: 1}. What is prob of picking 2 i?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2873 times -5032.1?\nAnswer: 14457223.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m + 1 + 0 - 3)*(-3*m**2 - 3*m**2 + 29*m**2).\nAnswer: -23*m**3 - 46*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -10, -2*h + 4*f - 9 - 3 = 0. Let y(d) = d**2 + 2*d - 9. Let c(x) = -x**2 - 2*x + 8. Give h*c(u) + 3*y(u).\nAnswer: -u**2 - 2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 81*i - 1953. Calculate the lowest common multiple of l(25) and 108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 585501.730907 - 588683.00065811. Let y = -3182.67975 - j. Let g = y - -1.41. Round g to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 9*p**3 - 2*p**2 + 2*p - 1. Let i be c(1). Suppose -4*h + i*m - 20 = 5*m, -5*h = m + 25. Let f be 1053750\/h*(-4)\/3. Round f to the nearest 10000.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2, 163, 747, -2 in ascending order.\nAnswer: -5, -2, 2, 163, 747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 272739, 275606, 278473, 281340?\n\"Answer: 2867*d + 269872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -2*k**2 - 12*k - 3. Suppose -m + 14 = 6*m. Let v be ((-396)\/(-8))\/(-11) + 1\/m. What are the prime factors of c(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 4*k**4 + 776*k**3\/9 + 5156*k**2\/9 + 1024*k - 576 = 0.\nAnswer: -9, -4, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -6*o - 6*o + 2*o. Let b(i) = -19*i**2 + 7*i - 49. Let p(a) = 73*a**2 - 27*a + 189. Let q(j) = 27*b(j) + 7*p(j). Give q(n(v)).\nAnswer: -200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q - 6. Let i be l(5). Let c(b) = -5 + 23*b**3 + b - 24*b**3 - 16*b**2 + 34*b**2. Let o be c(18). Solve -i*s = 5*k - 27, -5*k + 11 = 3*s - o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -2*c**3 - 30*c**2 - 51*c - 58. What are the prime factors of h(-21)?\nAnswer: 5, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/s**(11\/5))\/(s\/(s\/s**(-1))*s))\/((s\/(s*s**(-20)\/s))\/s)**(-43))**(-13\/6) assuming s is positive.\nAnswer: s**(-27911\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.63565 to 2 dps.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum -5877774 and 1683549.\nAnswer: -4194225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the first derivative of -1 - 2\/3*g**3 - 2*g + 5\/2*g**2 + 68981\/4*g**4. Let a be r(-6). Round a to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -7*x**3 - 2*x + 2. What is l(2)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2, 6, 2\/37, -0.5, -266 in ascending order.\nAnswer: -266, -2, -0.5, 0, 2\/37, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g. Suppose 161 = 13*i - 6*i. Let u(y) = -2*y**2 - i*y + 23*y. Give z(u(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -14, -27, -38, -47?\n\"Answer: w**2 - 16*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 639 and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 346276266?\nAnswer: 2, 3, 7, 37, 443, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1\/3))**(-1\/15)\/((x**(3\/7)*x)\/(x**(-4)\/x*x*x)) assuming x is positive.\nAnswer: x**(-1388\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/11?  (a) 4  (b) 185\/327  (c) 4\/3  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:08 PM and 2:31 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = m - 7, -6*c = -1108*m + 1111*m - 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(4\/7)*v)\/(v\/v**8)*((v\/(v*v**(-2\/5)))\/v)**(-2\/61) assuming v is positive.\nAnswer: v**(18342\/2135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3378 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2.37852?  (a) 1\/3  (b) 0.2  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4291074673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 349 = 2*d, 0 = 4*d - 7*d + 4*t + 506. Suppose -213 - 327 = -5*b. What is the highest common factor of d and b?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -af15 (base 16) to base 4.\nAnswer: -22330111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -2*q + q - 2*q - 2*q. List the prime factors of s(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 65*k**2 + 517*k + 5256. Determine q(-10).\nAnswer: 6586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 971307 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0\/(-8 + 7 + 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the second derivative of -1492*f**7\/21 + 612*f**3 - 3527*f. Find the second derivative of c(j) wrt j.\nAnswer: -59680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than -3\/2491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16 and 60732?\nAnswer: 242928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 39, -50, -295, -774, -1565, -2746, -4395?\n\"Answer: -13*h**3 + 2*h + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 378776 to the power of 1\/2, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**(-11))\/d*d**(9\/7))**1*(d*d*d**6*d*d**(-3\/7)*d)\/(d**6*d*d**(-3\/5)\/d) assuming d is positive.\nAnswer: d**(576\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47415644.\nAnswer: 2, 3359, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (r - 4*r + r)*(-2*r + 0*r + 6*r) + 2*r**2 - 2*r**2 - 6*r**2 as u + n*r**2 + p*r and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11404011 (base 5) to base 9.\nAnswer: 172387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7046.021l in millilitres?\nAnswer: 7046021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m + 9, -12 = 4*v - 0*m + 4*m. Is (24 - 29) + 16966 + v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.003279638 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 6 = 4. Let l(o) = 18*o**2 - 14*o**2 + 19*o**m. Let q(b) = -b**2. Determine q(l(c)).\nAnswer: -529*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*b**4 + 5*b**4 - 3*b**4 + (-19 + 19 + 13*b)*(-7 + 12*b**3 + 7) as z + p*b**4 + v*b**3 + k*b**2 + q*b and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -1\/2, -12238, 0 in decreasing order.\nAnswer: 0, -1\/2, -1, -12238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 d when three letters picked without replacement from ddddddvdddddddd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 79130.67 micrograms?\nAnswer: 0.07913067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (-51 + 39 + -5 + -1)) + -4\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1376 - 1318) + 1 + -17?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kjo when three letters picked without replacement from fvjfmojjfjkfvjj?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17 - 11. Suppose -x*r - 210 = -20*r. Solve -r + 12 = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 1 + (1 - 2 + 3)*(4 - 5 + 4))*(-53*x + 53*x - 50*x**2).\nAnswer: -250*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 153968448 divided by 7872.\nAnswer: 19559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*n**3 - 6*n**3 + 2*n**3 - 2*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -24 - 4*h + 24 - 2*h. Let u(x) = 5*x. Let a(b) = -3*c(b) - 2*u(b). Let j(q) = -2*q**2. What is a(j(f))?\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -132123 + -221?\nAnswer: -133010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-6*(-2*sqrt(102)*-5 + sqrt(102) - ((1*sqrt(102) - sqrt(102))*5 - sqrt(102)))\/((sqrt(864)*-3 + sqrt(864) + sqrt(864))*2))**2.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-10)*100\/40?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/128 and 11977\/(-37120) + (-6)\/(-10)?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/s**(-2\/23))\/((s**12*s)\/s))**26\/((s**(-9)*s**9)\/(s**(-1\/2)*s)**45) assuming s is positive.\nAnswer: s**(-10821\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 5*x = 0, -6*q = -3*q + 5*x - 30. Let k(t) = 19*t + 2. Let r be k(2). Calculate the highest common divisor of r and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*t + 6*t + 18668 = -297*t for t.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, x: 1, h: 2, y: 5}. Give prob of picking 1 y and 2 h.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-13)\/26)\/((-1)\/(-2)). Let v(j) = -15*j**3 + 2*j**2 + j. Determine v(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 4*k = -y - 6, y = -5*k - 9. Let w be (2\/y)\/((-18)\/(-324)). Suppose 0 = 4*a + 2*c - 22, -w*a - 3 = -3*a - 5*c. Solve -a = -q - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 93619?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 161\/5827?\nAnswer: 161\/5827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 10609*c**2\/5 + 1030*c + 125.\nAnswer: (103*c + 25)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.20269 and 0.79611368.\nAnswer: 0.59342368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 - (13 + (-445 - -334 - -1*5))?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -42*o**3 + 66800*o**2 - o - 497209 wrt o?\nAnswer: -252*o + 133600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1511 less than -5?\nAnswer: -5.1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 15*x + 4 = -12*x, -6 = 3*x. Suppose 24 = -4*v - 36. Let d = 21 + v. Solve -7 = -5*m + 3*t - d*t, 0 = c*m - 4*t - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, 2\/3, 3, -1\/4, -0.3, 2\/243?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 146.80151 rounded to 0 dps?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -150, -2\/9, -6640\/3 in decreasing order.\nAnswer: -2\/9, -150, -6640\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 705 by -3.\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 8ba5 + -50c?\nAnswer: 8696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*x = -4*r - 4, 2*r = -3*x + 4*r + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -110111101001111011 (base 2) in base 9?\nAnswer: -376632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 169 - 151. Let k be 20\/12*3*m\/45. Which is the closest to k?  (a) -1  (b) 2  (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -446973 + 2*i - 636705 - 4*i + 4*i.\nAnswer: 2*i - 1083678","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13219 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 (base 16) in base 12?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > -207\/9941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, -0.1, 2\/3, -44?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the third derivative of 403*q**5\/60 + q**3\/3 + 5*q**2 + 2*q. List the prime factors of g(1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -63 - -112b?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 371 + 38*t + 2*t**2 + 2*t**2 - 353.\nAnswer: 2*(t + 9)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from uumuum?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v - 5*d + d = -12, 5*v + 2 = -2*d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 - 4. Let t = 9.7 - g. Let v = 1.2 - -3.8. Sort v, 1, t.\nAnswer: t, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 7)*(3*j**4 + 0*j - 4*j**4 - j + (j**4 + j**3 - j**3)*(-12 - 23 - 20)).\nAnswer: 224*j**4 + 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-3\/7)\/q)\/((q*q**(1\/5))\/q)*(q\/((q**(-1\/7)*q)\/q))\/(q*q**(1\/3)))**(-26\/5))**(35\/3) assuming q is positive.\nAnswer: q**(4966\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**3 - 7*n**2 - 9*n - 6. Let q(p) = 8*p**2 - p. What is the remainder when q(-2) is divided by s(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 217260?\nAnswer: 2, 3, 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 + 57 - (4 - 49 - -15)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -114824  (b) 5  (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3898?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:41 AM and 7:56 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0, 1\/8, 0.1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.5 in 0, -69, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*f - 120 + 120 = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 38 - 18. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + 1 + -11 + 18 + -12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 460725 = -5*s + c, -s + 92133 = 5*c. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the second derivative of -5*i**4\/12 + 12*i. Let r(s) = 7*s - 26*s + 6*s + 2*s. What is r(w(z))?\nAnswer: 55*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 205, 204, 203, 202, 201?\n\"Answer: -h + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/5, 1\/3, -2\/5, 4 in descending order.\nAnswer: 4, 1\/3, 1\/5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(2\/107)\/h**(27\/2))**38)**(-43) assuming h is positive.\nAnswer: h**(2357045\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 + 2*x - 8. Let f(a) = a**2 + 18*a + 30. Let q be f(-16). Let d be q\/(-28)*-2 + (-830)\/70. Is 16 a factor of l(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -63 + 127\/2. Let i = 4 + 0. Put 5, l, i in ascending order.\nAnswer: l, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 11 - (1 + 2 + -2). Let j be (-24)\/k*(-4)\/12. Let i = 359 + -4665\/13. Which is the smallest value?  (a) 5  (b) i  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-9)\/(-2) - 2)*2. Let j(o) be the first derivative of o**3\/3 + 5*o**2\/2 - 5*o + 22. List the prime factors of j(z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s - 2 = -2*g, -4*s + 5*g = -43 + 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(-1*sqrt(132) - sqrt(132)))\/(-2*sqrt(972)))**2 + ((6*((sqrt(110)*2 - sqrt(110)) + sqrt(110)))\/(-2*2*sqrt(10)))**2.\nAnswer: 902\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 194?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -40865 minus -3?\nAnswer: -40862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 32\/32*21\/3. Suppose 0 = k*j - 771 - 125. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.44 + -0.84. Sort 1, w, -1, 4 in decreasing order.\nAnswer: 4, 1, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((28\/32)\/7)\/(2\/8)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0, -5, 3, 14 in decreasing order.\nAnswer: 14, 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-34)\/(-8) + 3\/(-12). Suppose 10 = -2*n + y. Let d = -3.864 + 3.864. What is the smallest value in d, n, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ioitititviiooiioie. What is prob of picking 2 t?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/5 in -1\/4, 0.3, -0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -52375889, -104751780, -157127671, -209503562, -261879453, -314255344?\n\"Answer: -52375891*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51088.64ml to litres.\nAnswer: 51.08864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -14 bigger than -67.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -23 + 91. Let w = 279 - n. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -8, 8, 24, 40, 56, 72?\n\"Answer: 16*f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 + -9*2\/(-3). Suppose r*h + 4 = 14. Let v(c) = 3 - 1 + 2*c**h - 2. Let a(f) = 7*f. Determine a(v(o)).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.722 - -408.722. Let n = i - 407.9632. What is n rounded to three decimal places?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 45.7 - 53.72. Let t = q + 4.022. Let j = t + 4. Round j to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 355*q**2. Let f(c) = -339*c**2 - 2. What is f(h(i))?\nAnswer: -42722475*i**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 24 = -3*a, -q - 7 = -2*a - 0*a. Suppose 0*f = -2*f + 5*w - 2, q*w = 6. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g*g**1)\/g*g*g**12*g\/g**(1\/13)*g**(-5))**50 assuming g is positive.\nAnswer: g**(7100\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.05949956 + -4.6.\nAnswer: -4.65949956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 551*y**3 - 97*y**2 + 40*y**2 + 15*y**2 + 42*y**2.\nAnswer: 551*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8493984 and 175392.\nAnswer: 59457888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18 - 18. Let t = i + -1. What is the nearest to t in 0.5, 0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 130947 - -2.89.\nAnswer: 130949.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**3\/11 - 4*v**2\/11 - 2*v\/11 + 4\/11.\nAnswer: 2*(v - 2)*(v - 1)*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 7*n**2 + 49*n + 161. Calculate r(-5).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 2:09 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*(r\/(r*r**(-17)))\/r))\/r*r*r*r\/(r\/(r\/(r**(-12)*r)))*r**6\/r**12 assuming r is positive.\nAnswer: r**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/37, -1, -4\/3, 0.2 in ascending order.\nAnswer: -4\/3, -1, -2\/37, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -16*m - 8. Suppose -8*w + 10 + 6 = 0. Let x be a(w). Let d = x + 93. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**2 - 6*y - 4. Let f be p(7). Let m(a) = a**2 - 3*a - 3. Determine m(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-40)\/25)\/((-4)\/10). Let y = -6 + f. Let w(g) = -3*g + 2*g**2 + g**2 + 5*g. Give w(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:37 AM and 4:27 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34571, 34360, 34149, 33938, 33727?\nAnswer: 33516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2241 - 134312?\nAnswer: -142103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 162473, 163930, 165387, 166844, 168301, 169758?\nAnswer: 171215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70*t = -68*t - 6. Let j(g) = g + 5. Let q be j(-5). Solve q = -0*s - t*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4.6111 * 0.7\nAnswer: 3.22777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*n + 0*n + n + (3*n - 7*n + 2*n)*(-2 + 2 - 1) + 5*n - n - 2*n + (0 + n + 0)*(-4 - 1 + 3) in the form c + y*n and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the first derivative of 1\/6*j**4 + 0*j**3 + 9 + 2\/15*j**5 + 0*j + 0*j**2. Let g(m) = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -874 - -2358. Suppose -y + 2974 = 4*s, -5*y = 2*s - 6*y - v. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1 and (0 - -4)\/(4\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + 0*o + 0*o)*(0 + 0 - 2*o**3) - 537*o**4 - 417*o**4 + 1175*o**4.\nAnswer: 223*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 3*j**3 - 2*j**2. Let i(z) be the third derivative of -z**6\/60 + z**5\/60 - 37*z**2 + 18*z. Calculate -7*i(p) - 4*v(p).\nAnswer: 2*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 736796 to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -3*y + 3 + 179*y**2 + y - 175*y**2. Is k(5) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 0*d = 5*d. Suppose 0*g + a + 15 = g, -4*g + 3*a + 63 = d. What is the smallest common multiple of 36\/(-30)*7\/(21\/(-60)) and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -358*u + 288*u + 29426 + 13204. Calculate the remainder when u is divided by 72.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 4 - 37. Suppose 5*r - 358 = -f. Suppose 0 = -28*q + 23*q + r. What is the highest common factor of q and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2662240 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 3, 16, 5 in decreasing order.\nAnswer: 16, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-66)\/77*-7*1\/(-2). Let q(d) = 6 - 3 - 2 + 4*d. Let b(w) = -5*w - 2. What is t*q(h) - 2*b(h)?\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - 1. Let p = 1.7 - 0.7. Let n be -3*((-6)\/(-27))\/(-1). What is the biggest value in v, p, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/12 + 474\/40. Let u = -12 + z. Let p = -668.9 + 669. What is the second smallest value in -2, u, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - -1. Suppose 5*k - 2*k = 9. Suppose k*o = -s*o. Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 335614*q**4 - 118*q**2 - 1224*q - 6555?\nAnswer: 4027368*q**2 - 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6034, 12110, 18186, 24262?\nAnswer: 30338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/5*(-1)\/8*-6.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.48 less than -5037364.9?\nAnswer: -5037365.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -4*t - 96. Let q be r(-25). What is the tens digit of 130\/q*72\/45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 2*a = 0, 0 = -2*h - 0*h - 2*a + 2. Let p be 13\/21 + h\/7. Which is smaller: p or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-4) + ((-39105)\/(-1386) - 20).\nAnswer: 68\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 346 + -278. Let y = -253 + 435. Suppose 0 = -2*d - q + y. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, o: 1, y: 3, t: 1, b: 1}. Give prob of sequence obyt.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1040374493*y**4 + 1130787731?\nAnswer: 4161497972*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1443 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 2 c when three letters picked without replacement from {u: 2, c: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -2*v + 7. Suppose k + 26 = 3*y, 2*k = -4*y - 2*k + 24. Suppose -2*x = -4*x + 5*f - y, 0 = 5*f + 10. Let l be n(x). Sort 1\/8, l, 0 in ascending order.\nAnswer: 0, 1\/8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 287.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -20, -4, -12, -22 in descending order.\nAnswer: -4, -12, -20, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -106a7a7 - -14?\nAnswer: -106a793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 368 and 276?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 972, -18, 3, -5, -1 in increasing order.\nAnswer: -18, -5, -1, 3, 972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is dd4 (base 14) in base 11?\nAnswer: 2066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9630 + 9630.02. What is the closest to u in -2, -4, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-11)\/(2805\/(-72))*(-165)\/6. Are d and -8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 83 take away 728436573?\nAnswer: -728436490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.15  (b) 7  (c) -0.06  (d) 5\/4  (e) 0.4  (f) 2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2963939 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -2*d - 3. Let x = -8081 - -8083. Let t(i) be the third derivative of 1\/6*i**3 + 0*i**4 - 1\/60*i**5 + 0 - 2*i**x + 0*i. Give k(z) + t(z).\nAnswer: -z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the first derivative of u**5\/15 + 37*u**3\/3 - 22. Let a(t) be the third derivative of s(t). Let r(x) = -x. Determine r(a(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r + 18. Let q be c(23). Let l(u) be the second derivative of u**3\/6 + 4*u**2 - 3*u. Does 3 divide l(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**3 - 5*j**2 + 9*j + 88. Determine y(-9).\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 + -4. Let z be (i\/2*-2)\/(-7). Which is the second smallest value?  (a) z  (b) -6  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 203395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*g - 65 = 8*q - 31*g - 27*g, 0 = q + 4*g + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**2 + 43*g - 350. Determine s(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1765988 and 10?\nAnswer: 8829940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**3\/3 - 76902*l**2 + 461403*l - 692100.\nAnswer: (l - 230700)*(l - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - z)*(-11 + 19 - 12)*(-21*z**2 + z**3 - 93*z**2 - 50*z**2).\nAnswer: 4*z**4 - 656*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 - (-2 - -1))*-4. Let h be (-2 - l)\/((-3)\/(-135)). What is the common denominator of 1\/10*(h + 3) and 10\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j**2\/3 + 35380*j + 7420000\/3 = 0. Calculate j.\nAnswer: -53000, -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -42 + 38 - (1 + 1 + 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.12 + 5.12. Let j = 2092753\/74 - 28280. Let y = -2\/37 - j. What is the nearest to y in -4, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*0.1523574.\nAnswer: -0.04570722","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Express -10*h + 0 - 1 - h + 4 in the form o + r*h and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 47 - -148. What is the remainder when (-194 + d)*-18*(0 + -13) is divided by 86?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qtrq when four letters picked without replacement from jrjtqtrrqtr.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11 + -7. Suppose -5*z + 5 = 3*h - 7, -o*z = -2*h - 14. What is the second derivative of -u + 3*u**3 - u + z*u wrt u?\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 * 0.418\nAnswer: 2.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 140 + -150. Let d(z) = 18*z**2 - 2*z + 8. What are the prime factors of d(o)?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -1 - (1153144\/(-112) - ((-776)\/112 - -7)) is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -174746 at least 9.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 58 - 42. Let d = -17 - -31. Is w equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77*o + 78*o + 6116 = 2*t, 3*t - 9196 = -4*o. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-5\/7)*g)\/((g*g**(-14)\/g*g*g)\/g)*(g**(4\/5)*g*g)\/((g\/(g*g**(2\/5)*g)*g)\/g))**(3\/8) assuming g is positive.\nAnswer: g**(459\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 214 = 36. Let v = 47 - y. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (7\/(-21)*3)\/(19\/(-95)). Solve -24 = -2*a - 4*x, 30 = -66*a + 68*a + b*x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**3 - 4626*u**2 + 2814750*u - 159468750.\nAnswer: 2*(u - 1125)**2*(u - 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -771 - -864. What is the remainder when g is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 56.565 to 1 decimal place.\nAnswer: 56.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 84 and 303.\nAnswer: 8484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5176*v**3 + 817*v**3 - 6334 + 49*v + 57*v - 104*v wrt v?\nAnswer: 35958*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/3  (b) 3  (c) -0.7  (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 300*j**4 + 17*j**2*y + 9*y - 93 wrt j?\nAnswer: 1200*j**3 + 34*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - 3. Suppose -5*q - 20 = 20. Let m = x - q. Solve -m*w + 22 = 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -448*p**3 + 2 - 2 + 446*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 - (-2 - 5))\/(0 - 2). Suppose 8 = -8*p + 4*p, 0 = -2*d - 3*p. Suppose -j = -d*q - 0*q + 53, -4*j = 2*q - 54. Sort q, u, 5 in decreasing order.\nAnswer: q, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-20))\/(-10 - (-858)\/88)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**4 + 7252*z**3\/3 + 733650*z**2 + 1939248*z.\nAnswer: 2*z*(z + 603)**2*(3*z + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3 + 9)*(2*s**2 - 243*s**3 + 388*s**3 + 0*s**2) in the form c*s**2 + q*s**3 + u + w*s and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3162 is divided by 789.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hjjjjjnnhhjhjhh. What is prob of sequence nh?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -9*g + 4*g. Let k be 8145\/g*2\/202. Let y = 6\/101 + k. What is the common denominator of y and 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 2*h**2 - 5*h - 1. Let b(v) = -v. Let z(c) = -3*b(c) + s(c). Let j be z(-1). List the prime factors of (-4)\/(-12) - (-32)\/j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*z = -65*z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 223031\/7 + -31861. Which is the third smallest value?  (a) p  (b) 131  (c) -3  (d) 0  (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:53 PM and 3:32 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the third derivative of 0*a**4 + 64\/3*a**5 + 1\/42*a**7 + 0 - 4\/3*a**6 - 124*a**2 + 0*a + 0*a**3. Factor d(x).\nAnswer: 5*x**2*(x - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 + -3. Let s = t + 1. Solve -2*p = -3*x + s, 0 = 5*p - 11 + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(931) + -3*sqrt(931)*-3)**2 + 4 - ((6*(sqrt(931) + sqrt(931) + (sqrt(931) - 1*sqrt(931))) - sqrt(931)) + -2).\nAnswer: -77*sqrt(19) + 93106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13*75\/(-11375))\/((-1)\/10)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 77240, 77384, 77770, 78518, 79748, 81580?\n\"Answer: 20*i**3 + i**2 + i + 77218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95 = 2*c - 3*x, -3*c = x - 95 - 42. What is the remainder when 227 is divided by c?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 256 - 169. Let i be (6\/8)\/(4 - a\/24). Solve -21 = -2*f + 5*b + 3, b + 8 = i*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0\/6 - 6) + 83. Calculate the greatest common factor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**3 - 17*v**2 + 950*v - 14942. Calculate w(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-25)\/100*(1 + 30\/(-14)). What is the closest to 10 in z, -0.2, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.00372 and -31.\nAnswer: -0.11532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 97*v + 32. Let c be b(-6). List the prime factors of 7\/((-210)\/c) + (-4)\/(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -534, -1209, -1884, -2559?\nAnswer: -3234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ax when two letters picked without replacement from {r: 3, a: 3, x: 2, b: 1, n: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = x + 3*d - 5, 1 = -2*x + 3*d. Let f be 2*((-2)\/x + 2). Suppose -4 = -5*j + 11, 4*v = f*j + 55. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-2\/17)*p**(-3\/2)\/p*p**0\/p**(-3) assuming p is positive.\nAnswer: p**(13\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k*k\/(k**21\/k)*k*k**24\/k*k*k*k*k**(6\/19)*k\/k**20)**20 assuming k is positive.\nAnswer: k**(-3300\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 10176.635 rounded to the nearest 10?\nAnswer: 10180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-132)\/(-28) - 10\/(-35). Determine t so that 5*t**2 + 10*t**2 - 4*t - 8*t**3 + 2*t**4 - c*t**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (5\/(-2) - -1)\/(3\/(-4)). Suppose b = 6 + j. Let y(k) = 9*k - 5. Let f(z) = 6*z - 3. Give b*f(u) - 5*y(u).\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Solve -9*x = 567*x + 5760 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 6 = -4. Let g be f\/(-3) - (-3)\/(-9). Let z be 4\/(-6) + (-69)\/(-90). Sort 0, z, g in descending order.\nAnswer: g, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 938438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1256, 1149, 1016, 845, 624, 341, -16?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 556738316 to the power of 1\/2, to the nearest integer?\nAnswer: 23595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.39, -7.1, -0.5, -29.5, 2 in ascending order.\nAnswer: -29.5, -7.1, -0.5, 0.39, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -5, 0.554, 4\/3?\nAnswer: 0.554","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes before 9:00 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -23 - -23. What is the closest to 0 in -1\/2, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5023*s**5 - 25*s**3 - 397*s**2 - 76*s?\nAnswer: 301380*s**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -17*w + 73. Let l be n(4). Solve l*x + 10 = g - 0*x, 4*x = g - 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 22, 42, 64, 88, 114, 142?\n\"Answer: d**2 + 17*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the third derivative of -b**4\/3 - 2*b**3\/3 - b**2. Suppose 3*s = 3*g - 54, g - 4 + 2 = 5*s. Calculate the least common multiple of g and z(-3).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 3  (b) -2  (c) -8  (d) 27  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.3 + 1.344. Let k = b - 0.0439976. What is k rounded to seven decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4615 * 0.04.\nAnswer: -184.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 9150.065 years?\nAnswer: 109800.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1135 and 485780?\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/11 in 1, -0.1, -3\/2696, -3, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -613808 - 93.\nAnswer: -613901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - 4*x - 261 + 716 = -0*x - 55*v, -8*v - 52 = x + 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -315993 times 0.126\nAnswer: -39815.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*s = -21*s - 16. Suppose 0 = -34*q + 32*q + s. Suppose -11 = -q*j + 53. Calculate the remainder when 19 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -85*p**2 - 8*p - 7. Let t(f) = 80*f**2 + 7*f + 6. Let c(m) = -6*l(m) - 7*t(m). Determine n, given that c(n) = 0.\nAnswer: -1\/50, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4512283265 to the nearest integer?\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 1869 = -0*j + 3*l, 5*j + 4*l = -1883. Let s be (130\/j)\/(6\/10). Let q = s + 4\/9. Which is the closest to 0.1?  (a) -3  (b) q  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115970575 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: Let d(q) = 32*q**3 + 38*q**2 + 4762*q - 19. Let j(y) = 10*y**3 + 12*y**2 + 1587*y - 6. Calculate -6*d(g) + 19*j(g).\nAnswer: -2*g**3 + 1581*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -2*o + 10, o + 1 = -3*r + 6. Factor 21*l**2 + 27*l**3 + 0*l**5 + 6*l + r*l + 3*l**5 + 15*l**4.\nAnswer: 3*l*(l + 1)**3*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70589655062 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**2 + 4*k - 1. Let h be f(0). Let p be (-2 + 13 + h)\/2. Solve -5*i + 5 = 4*s, -29 = -2*i + p*s + 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 233 (base 7) to base 10\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 637568 * 0.1196\nAnswer: 76253.1328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*w**2 - 11*w**2 + w**2 - 82*w + 4*w wrt w.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the first derivative of -4 + 4\/7*c + 2\/7*c**4 + 0*c**5 - 1\/21*c**6 - 4\/21*c**3 - 3\/7*c**2. Let u(n) = 0. Calculate n.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 42\/67 - 1656\/3283. Let t = g - 214\/147. Suppose 2*o - 13 + 11 = 0. Which is the smallest value?  (a) 1\/2  (b) o  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1024, -3977, -8938, -15943, -25028, -36229, -49582?\nAnswer: -65123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3909625 = -3291*y + 3266*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 1 = 5. Suppose 0 = -w*a - a - f + 41, 2*a + 3*f = 33. Let u be -1 + a - 2*-1. What is the greatest common factor of 25 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5730 less than -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of 4*j**3\/3 + 115. Let f(k) = -13*k. What is f(l(z))?\nAnswer: -52*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 110120000201102 (base 3) to base 16\nAnswer: 65d2a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**3 - 7*o**2 + 2*o + 7. Determine b(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 + 1b1?\nAnswer: 1b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1886884 to the nearest integer?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -306899375 divided by 5\nAnswer: -61379875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yh when two letters picked without replacement from sthys?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -158 = -4*k + 9*k - 3*m, 49*k - m = 291 - 1953 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -46 or 16\/5?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 190692, 1525928, 5150162, 12207900, 23843648, 41201912?\n\"Answer: 190751*s**3 - 7*s**2 - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4.11 + -13.185. Let a = l + 9. Let f = a - -0.07500062. Round f to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9739 - 9736. Let q(i) be the second derivative of 0*i**2 + 6*i + 0 - i**4 + 9\/2*i**d. What is the second derivative of q(r) wrt r?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.9 - 0.9. Let p be (-1)\/2*(-2)\/8. Which is the closest to 2\/11?  (a) -4  (b) t  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(5*(sqrt(99)*-3)**2 + -2).\nAnswer: 26718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -8*(149\/(-2) - (-21)\/14). Suppose -3*x + 431 = 5*u, -2*x - 2*u + d = 2*x. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32793*n - 65589*n + 5162*n**2 + 32796*n + 103862*n**2.\nAnswer: 109024*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, 0.2, 6, 2, -10\/3, -25 in decreasing order.\nAnswer: 6, 2, 1\/2, 0.2, -10\/3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2146, -2154, -2166, -2182, -2202, -2226?\n\"Answer: -2*s**2 - 2*s - 2142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**1\/z*z*z\/z**(-3))\/(z**(-1\/5)\/z**(1\/2))*(z**(1\/11)\/((z\/(((z\/(z**1*z)*z)\/z)\/z))\/z))**(-2\/3) assuming z is positive.\nAnswer: z**(767\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + 10221000?\nAnswer: 10220220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 - 23240?\nAnswer: -23230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**2 + 5*v - 1. Does 6 divide o(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r = -2*t - 78, 3*r + 6*t - 2*t = -3 + 29 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**3 + 7*y**2 - 5*y + 3. Suppose 2*f = 6*f - 12. Let b be q(f). Let z = 126 - 30. What is the greatest common divisor of z and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 301955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 538?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 127 = -163. What is the remainder when i is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13672 (base 9) in base 4?\nAnswer: -2101103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-67 - 1670 + 3736 - 11173)*(-10*y + 34 - 34)*(0 + 2 - 1) in the form s + n*y and give n.\nAnswer: 91740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11.786 - 1.786. Sort c, 7, -4, -0.2 in descending order.\nAnswer: c, 7, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1782403639\/51 + -34947743. Let n = z - 1348. Is n less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -12*o + 2. Let t(p) = 7*p - 1. Determine -3*i(k) - 5*t(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -3*u**2 + 17*u. Let f(w) = 1. Give -2*f(g) - k(g).\nAnswer: 3*g**2 - 17*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 25630032 and 16?\nAnswer: 25630032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of r**8\/336 + r**5\/6 - 4*r**2. What is the third derivative of j(g) wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83*((-4)\/1 - -5) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 838751 to the power of 1\/2, to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -112  (b) 18  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-14)\/(14\/1)*-1)\/(2\/(-22))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i**2 - 8 + 7 + 2)*(3*i**2 - 2*i - 4*i + 5*i).\nAnswer: 3*i**4 - i**3 + 3*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v + 17. Let s be w(8). Let y be (-77675)\/(-375) - 4\/30. Calculate the highest common divisor of y and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 99374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b + 52. Determine q(0).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + s + 30 = 0. Let k be (-11)\/4 + 15\/20. Let d = s + k. What is the remainder when d is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 621 (base 7) to base 12.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 2*m**3 + 3*m**2 - 1. Let z be g(1). Factor 30*k**3 - k**5 + 6*k**5 + 5*k - 20*k**2 - 3*k**4 - 6*k**z - 11*k**4.\nAnswer: 5*k*(k - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4317?  (a) -9  (b) 1\/9  (c) -0.005\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -1 + sqrt(1377) - (-1 + (sqrt(1700)*-1)**2).\nAnswer: -1696 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*i + 4*i - 5*i. Solve i*v = 3*v + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -146740 or -146742?\nAnswer: -146740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 396263486 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 766 + 504 = 10*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**2 - i - 7. Let o be j(5). Let b be 2\/8 - (-1660)\/16. Let l be (-5)\/((-5)\/(-3))*b\/(-3). Calculate the highest common divisor of l and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 7*c - 28*c + 7*c + 9*c + 11. Let o be g(-9). Suppose 5*a = a + o. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20246.\nAnswer: 2, 53, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 4158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 10890 rounded to the nearest one hundred?\nAnswer: 10900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -4*r. Let d(x) = x**2 + x. Give -2*d(i) - j(i).\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 111 + -78. Let y = -20 + g. List the prime factors of -1 + y + (-4)\/2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -2*x**2 - 9*x + 9. Let p be o(-5). Suppose -522 = -2*y - g - 3*g, -y - p*g + 271 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*m + 0*m - 16*m - 17*m + 0*m to s + c*m and give c.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 65944908077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 2*z**2 - 88*z - 104. Let t be f(46). Suppose -b + 14 + 6 = -2*v, -4*b - 4*v = -t. Solve 4*k + 15 = u, -3*u + 5*k + b = 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7760 divided by 5.\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*r = 103 - 239 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22, 5, 0, 25, 98?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16591 = -g + 3*i, 49531 - 16357 = 2*g - 2*i. List the prime factors of g.\nAnswer: 5, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-16)\/(-2) + -1 - -2. Suppose -5*r + 11 = -s. What is the second smallest value in -4, 1\/3, r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 3*v**3 - 6978*v**2 + 3802452*v + 301392840 = 0.\nAnswer: -70, 1198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 523774 is divided by 815?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkzesiitizei. Give prob of picking 1 k and 1 t.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 357 - 57 = 60*w. Suppose 7*t = 8*t + w*t. Factor 2*s**2 + 1\/2*s**4 + 0 + t*s + 2*s**3.\nAnswer: s**2*(s + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2203232 (base 12) to base 16.\nAnswer: -62cd86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * 974664.\nAnswer: 389865.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 take away -21879881951153?\nAnswer: 21879881951145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18988.\nAnswer: 2, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the first derivative of -y**3\/3 + 2*y**2 + 41. Let r(g) be the first derivative of -2*g**3\/3 + 9*g**2\/2 - 4. Calculate 9*b(v) - 4*r(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 (base 7) in base 12?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 316744487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 158106068.\nAnswer: 2, 19, 2080343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, -1\/8, -1\/11, -102, 1\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 295 - 285. Let m be (-4)\/20*-5*j. Put 0, m, -4 in increasing order.\nAnswer: -4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = -2*g - 10. Let u(d) = 3*d + 1 + d**2 + 4 - 5. What is the lowest common multiple of u(g) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -937 by -6455.\nAnswer: 937\/6455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 408 divided by 1.\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-2))\/(6\/(-4)*(-12)\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12 and 259\/5 + (-4)\/(-20)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**3 + 35*n**2 + 287*n + 5442. Give s(-27).\nAnswer: 3525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -52 - 168*m - m**3 + 26*m**2 + 154*m - 8*m**2. Let w be i(17). Does w = 2\/93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**2 - 16*i - 19. Let w be q(-15). Suppose -4 = -2*r + 6*r. Which is the biggest value?  (a) -0.2  (b) w  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 4*z + 35263 - 103779 = 0, 3*z = -c + 13701. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6340*j**3*w**2 - 20*j**3*w - 4*j**3 + 14*w wrt w?\nAnswer: -12680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 222.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -11*f**2 + 45*f + 24. Let z(h) = 6*h**2 - 22*h - 12. Let l = -20 - -15. Let b(n) = l*z(n) - 2*a(n). Factor b(m).\nAnswer: -4*(m - 3)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 520783044.70000106 + -520783056. Let z = -44.3 - -33. Let r = n - z. Round r to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = 3*c - 8230, -5*m = -c + 2741 - 10991. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12 + 9. Let t(u) = 5*u - 1. Let s be t(1). Suppose -24 = f + 5*i, -s - 11 = 3*i. Sort -2, l, f in descending order.\nAnswer: f, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20102022 (base 3) to base 8\nAnswer: 11107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 - 61\/7. Which is the nearest to 1?  (a) 0  (b) 0.01  (c) 0.3  (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 t, and 1 o when three letters picked without replacement from {o: 3, s: 2, u: 3, t: 1, c: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 125987 is divided by 41980.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (18 - -3)*(-88)\/(-12). Let b = -103 + c. Is 28 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 228657144?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 + 10*i**2 - 17*i + 81. Suppose 28 = 3*y - 5. Calculate the smallest common multiple of t(9) and y.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*x + 15*x = 93. Solve x*l + 0*l = 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 795 a factor of 545508330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 66*a + 155. Let k(h) = 67*h + 155. Let b(m) = 4*g(m) - 5*k(m). What are the prime factors of b(-9)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 + -11. Which is bigger: s or -6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.24 * 31\nAnswer: 7.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -9.8 * -44.2\nAnswer: 433.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 18\/10 + 3\/15. Let i be 1414\/21*(m + 1). Let t be (-14)\/(-77) + i\/99. Is 1 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 323087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -3837*g. Let p be t(-1). Let y = p - 2741. Suppose -3*c + y = -1994. Round c to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from {t: 1, j: 1, g: 1, w: 1, c: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*y**5 + 2*y**3 + 252*y**2 wrt y.\nAnswer: -180*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11 + -11 - (2 - 19 - -7) - -1) + -73?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 67b3d (base 14) to base 15.\nAnswer: 4e995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -125*d**2*h**2*j**2 - 9*d**2*h**2*j - 3*d**2 + 3*d*h*j**2 + d*h wrt h.\nAnswer: -250*d**2*j**2 - 18*d**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1592878*s - 1716276 wrt s.\nAnswer: -1592878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-128 - 21)*(-2)\/2. Let a = n + 6. What is the lowest common multiple of 5 and a?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 - (7 + (4 - 5) - (12 - (0 - 5))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:58 PM and 2:35 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 30480\/1270*1\/(-44)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 + 4 - 3)*(0*b**2 + 2*b**2 + b**2)*(-1 + 1 + b) + b**3 + 2*b**3 + b**3.\nAnswer: -32*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 + 2*l**2 - l - 1. Let w(a) = -2*a**3 - 2*a**2 - 15. Let i(p) = -15*b(p) - 5*w(p). Factor i(c).\nAnswer: -5*(c - 2)*(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 - ((-17 - 5) + 50) - 8.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-1)\/9)\/((-6)\/(-18)). Let s = -0.3 - 5.7. Let o = s - -5.6. Which is the closest to k?  (a) o  (b) -1\/9  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 149292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**2. Let y(w) = -108595*w**2. What is v(y(o))?\nAnswer: 11792874025*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 22\/8*38\/(-114). Let o = u + -263\/60. What is the common denominator of -47\/2 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -4*y - 30. Let p be k(-8). Suppose 4*f + p*d + 8 = 3*f, -2*f - d = 4. Solve f = 3*x - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 2*i**3 + 22*i**2 - 84114*i - 841343. Determine p(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppppp. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l*(l*l\/(l**(-3\/4)\/l)*l)\/l*((l*l**(-7)*l*l)\/l)\/l)\/(l*l\/((l**(-1\/4)*l*l)\/l)*l)**(1\/2) assuming l is positive.\nAnswer: l**(-11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -8, 904 = 4*c - 94*y + 90*y. Calculate the remainder when 9405 is divided by c.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 16) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**3. Let o be s(0). Let q(l) = l - 13. Let i(c) = -c + 12. Let w(a) = 4*i(a) + 3*q(a). Is w(o) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -243*l - 2*l + 1253 + 10508 = 1226 for l.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2500 or 2499?\nAnswer: 2500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in eleven halves of a millisecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -47 - -23. Let r = u - -27. What is the units digit of 3\/r + -5 - -57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -57*f**3*i**3 - 21*f**2*i**2 + 2*f**2*i - 4*i**3 wrt f.\nAnswer: -342*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 4 - 2 - -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1160.4191 + -0.458041\nAnswer: -1160.877141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2479*o - 1003*o - 8580*o - 8139*o to u + a*o and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-15) + (6 - (-57)\/(-9))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p + 4*r - 76 + 181, 132 = 3*p + 5*r. What is the remainder when 1595 is divided by p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 105 in 1\/2, 9\/10, -224?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -m**2*n + 3446901*m**2 + 24*m*n - 53*m - 3*n - 867 wrt m?\nAnswer: -2*n + 6893802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the second derivative of -2*a**3\/3 - 3*a**2\/2 + 16*a - 1. Suppose 2*n + x = -2*x - 11, 0 = -5*n - 2*x - 33. What is the units digit of f(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 26*i - 53 + 83 - 30. Let u(r) = 3*r + 1. Determine j(u(h)).\nAnswer: 78*h + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -690967.8 to the nearest 1000.\nAnswer: -691000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.102 - 0.048. Let f = -0.05303 + r. What is f rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -5*p + 73, 0 = -8*l + 7*l + 4. Suppose -c = 4*t - p, 10*c + 7 = 4*t + 5*c. Suppose -3 - 1\/3*d**t + 5\/3*d**2 - d = 0. Calculate d.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15865 divided by -3173.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20157684 is divided by 210?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 2098*k + 1953*k + 32.\nAnswer: -145*k + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times 1546179\nAnswer: -773089.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 693 - 677. Suppose -2*t - 2*u = -3072, -11*t + h*t - 7645 = 2*u. What are the prime factors of t?\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 2\/13  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 42.80794mm in meters?\nAnswer: 0.04280794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -8*f. Let j(i) = 15*i. Give 5*d(n) + 3*j(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 28 = 2868295*f - 2868297*f, -4*m + 4*m - 32 = 4*f - m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 484 = -4*l, 70*l + 2*d = 72*l - 240. Sort l, -2, -5 in descending order.\nAnswer: l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68 is divided by -4*18\/(-120)*5 + 20.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 234 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/14*(57\/(-342))\/((-40)\/(-126))?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*b**3*l**2 + 225*b**3*l + b**3 - 673*b*l + 41*b + 6137577*l**4 - l wrt l.\nAnswer: -14*b**3 + 73650924*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 + 163418?\nAnswer: 163413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 10\/65 + (-126)\/(-26). Suppose -25 = -c*g + 2*a, -3*a = 6*g - g. Suppose 2*d - 2963 = g*l, 4*l + 1006 = -4*d + 6902. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 5*j - 3*j, 4*r + 5*j - 9 = 0. Let u be (-92)\/(-16) - (-7)\/28. Solve r*n + u = 8*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 2, -0.5, -1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6262\/52351 greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1824275471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 8:25 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2174 - -0.18?\nAnswer: -2173.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/38, 15, 3\/4?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (2827\/55)\/(1\/5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 5, p: 5, y: 1, c: 1, x: 4, f: 1}. What is prob of picking 1 n and 3 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*-42.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t + 12. Let o be q(-7). Solve 2*p = -o*g - 9, 4*p + 0*g = -2*g + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 4586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17 - 12. Let j(r) = -r**2 + 4*r - 1. Let d(w) = -7*w**2 + 17*w + 1. Let k(u) = -u**2 + 2*u + 1. Let n(l) = -d(l) + 4*k(l). Calculate g*j(q) + 2*n(q).\nAnswer: q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -20*t**2 - 3*t - 5. Let j(w) = 17*w**2 + 3*w + 4. Let d(s) = 6*c(s) + 7*j(s). Let h = -9 + 11. Determine d(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -69 + 68. Let n be 3 - z - (6 - 0). Let h be n + 11008\/5 - 6\/(-15). Round h to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 36569242 * 0.5.\nAnswer: 18284621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*f**5 + 20904*f**2 + 244*f + 86.\nAnswer: 40*f**3 + 41808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-3)\/2)\/(6\/12). Suppose -2*r + 3*s + 0*s - 25 = 0, 0 = -5*r - s - 20. Let l = -1 + -3. Sort a, r, l in decreasing order.\nAnswer: a, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-4))\/((-72)\/48).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1000011111111110 (base 2) in base 11?\nAnswer: -2417a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/5))**(20\/13)*(j*j**(-12)*j)\/((j**(-3)\/j)\/j) assuming j is positive.\nAnswer: j**(-57\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in 3, -3\/5, 32, 386?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11 - 25. Let j be 49\/(-350)*8\/z. Is 2\/7 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -439*i - 40126. Calculate w(-89).\nAnswer: -1055","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - 0 - (-15 - -21).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the third derivative of -j**4\/24 - j**3\/6 - 3*j**2. Let q(f) = f**3 - f - 1. Give c(o) - q(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1218 * -0.3759.\nAnswer: 457.8462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40954550.\nAnswer: 2, 5, 7, 13, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-32*r**4 - 50*r**4 + 61*r**4)*(-5 + 1 + 3) in the form w*r + y*r**2 + a*r**3 + m + k*r**4 and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -55.6 - -55.63. Which is the biggest value?  (a) -3\/4  (b) m  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7\/49*7*(-6238)\/(-2).\nAnswer: 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34*-1783.\nAnswer: -60622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**3 + 3*t**2 + 6*t + 6. Let m be i(5). Let j = m - -23. Let c = j - 4. Calculate the remainder when c is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11 and 596081959?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 451 divided by 873\nAnswer: 451\/873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15 + 17. Suppose 17 = n*o - 17. Suppose a + 2*c = o, c - 98 = -4*a - c. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 172986 = 4*p - 28403, 0 = 4*a + 5*p - 192860. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h + y - 26, 4*h - 21 = y - 2. What is the smallest common multiple of h and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20256\/422*(-4)\/(-6)*(-24)\/224?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 15*a + 142. Determine n(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*57\/304*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m - 22*m**2 + m)*(2*m - 2 + 2 + m**2).\nAnswer: -22*m**4 - 44*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the third derivative of -h**9\/126 + h**6\/60 - h**5\/30 - h**4\/8 + 5*h**2 + h. Find the third derivative of s(u) wrt u.\nAnswer: -480*u**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + 3. Let o(f) = -2*f. Let u(a) = 46*a + 54*a - 101*a. Give y*o(v) - u(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 4*a - 4 = 4*i, 2*i - a = 7. Let x(f) be the first derivative of -2\/15*f**3 + 0*f**i + 2\/5*f - 3. Let x(l) = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 27 - 21. Is 9 a factor of (-1)\/((-3)\/q) + 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1580, 3161, 4742?\n\"Answer: 1581*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 84 + 5. Let h = u - 85. Let d be (h\/15)\/((-10)\/(-25)). Which is the smallest value?  (a) d  (b) 5  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13470431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**2 - u. Let h(m) = -m**3 + 3*m**2 + 3*m - 11. Let o = -8378 - -8381. What is o*s(x) + h(x)?\nAnswer: -x**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**3\/v)\/v**(2\/9))\/(v*v\/((v*v**(1\/12)*v)\/v*v)*v**(-2)*v)*(v**(1\/4))**(-42)*v**(-4\/3)\/v*v*v*(v**(4\/7)\/v)\/v assuming v is positive.\nAnswer: v**(-2369\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*t**2 - 17*t**3 - 22*t**3 - 17*t**3 - 21*t**3 + 12*t**3.\nAnswer: -65*t**3 + 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 + 18*t**2 - 3*t + 9. Is b(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 589*f + 780*f - 2152*f + 783*f - 2*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2 + 6*g + 3. Let b be u(6). Suppose -b*w - 2 = -23. Suppose w*c - 175 = 2*c. List the prime factors of c.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-3 + -4 + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from xqxqx?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 251899366?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 13, 55, 129, 235, 373?\n\"Answer: 16*q**2 - 6*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42326272.\nAnswer: 2, 101, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -168 + 262. Let k = 657 - 529.8. Let r = k - u. Round r to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 624862*i**2 + 58*i + 109393255?\nAnswer: 1249724*i + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-8)\/(-70))\/(2\/10). Let d = 7 + -8.6. Let k = 1.7 + d. Which is the second smallest value?  (a) k  (b) 0  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 1, 798 in decreasing order.\nAnswer: 798, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 144*r - 52 + 10 + 143*r - 28. Is v(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the first derivative of w**3\/21 - 15*w**2\/7 + 29*w\/7 - 18. Factor s(v).\nAnswer: (v - 29)*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-five quarters of a millennium?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -154*t + 32*t + 4*t + (-47 + 12 + 0)*(t - 2*t - t).\nAnswer: -48*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/4 - ((-15691)\/(-340))\/71 - (-123)\/(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/((f*f**(-30)*f)\/f))**(-2\/31)*(f\/(f**6\/f))**33)**(-3\/41) assuming f is positive.\nAnswer: f**(12456\/1271)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = 5*s - 15. Put 1, -3, s in increasing order.\nAnswer: -3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 694788598 to the power of 1\/2, to the nearest integer?\nAnswer: 26359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 468 in -2, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes before 11:12 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, 0, -251?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 850\/16 - (-4)\/(-32). Let u = p - -2. List the prime factors of u.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2713.\nAnswer: 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x - 4*s + 28 = 0, 4*s + 7 - 15 = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the third derivative of i**4\/24 - 5*i**3\/2 - i**2. Let w be j(12). Which is the second smallest value?  (a) w  (b) 1  (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 101 - 85 - (-2 + 10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence se when two letters picked without replacement from {f: 1, e: 1, j: 3, s: 3, q: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -388 + 383. Let j(q) = 9*q**2 + 12*q - 3. Let s(y) = 13*y**2 + 18*y - 4. What is f*s(h) + 7*j(h)?\nAnswer: -2*h**2 - 6*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/(4*9\/108). Let b(u) = 19*u. Let a(l) = -1. Let d(n) = 4*a(n) + b(n). Let h(t) = -7*t + 1. Let z(m) = p*d(m) + 8*h(m). What is z(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4  (b) 0.4  (c) -59379\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/(-42)*(-1 + -20). Factor -2\/15*n**p + 2\/15*n + 4\/5.\nAnswer: -2*(n - 3)*(n + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 901 = -10*l + 1011. Let a(n) = -n + 5. Determine a(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00005925541 rounded to 6 dps?\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (15 - 13) + -1 + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)*1*-6 - -4*(sqrt(70) - (sqrt(70) - (sqrt(70) + (sqrt(70)*1 - sqrt(70))))))\/(-3*sqrt(360)*2).\nAnswer: sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 4*w - 23, 5*n = -3*w + 82 - 13. Is 2 a factor of (1 - n\/4)*(-26 - -22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 23*x - 19*x. Suppose 6*b = x*b + 4. Sort -3, 0, 4, b.\nAnswer: -3, 0, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = 4*q - 8. Suppose a + 2*v = -a + 16, -26 = -5*a + q*v. What is the third derivative of 0*d**6 + 3*d**2 - d**a - d**2 wrt d?\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 + -58. Let x = q - -113. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0090674 take away 3?\nAnswer: -2.9909326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3101 - -102?\nAnswer: 3203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -5*u**3 + 4*u. Let y(v) = v. Calculate q(m) - 4*y(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that 9\/4 - 3\/4*a**2 + 3\/2*a = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 57386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11.42852 nanometers to centimeters.\nAnswer: 0.000001142852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4579 - -4575. Sort a, -3\/8, 6, 1\/6, 1 in increasing order.\nAnswer: a, -3\/8, 1\/6, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4301 (base 8) to base 13.\nAnswer: -1035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -278 times -0.046?\nAnswer: 12.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 9002943141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -37.04 - -34.04. What is the nearest to 1 in -4, -4.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14.09308 rounded to 1 dp?\nAnswer: -14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -1\/4, 0.1, -2\/11, -1\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange t**4 + 2 - 1 - 2*t**4 - 3*t**3 + 2*t to the form l*t + s*t**4 + b*t**3 + q*t**2 + j and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5.7445 + 0.7445. What is the closest to 0 in -0.05759, g, -2\/17?\nAnswer: -0.05759","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 471 - 449. Suppose -f - 215 = -6*f. What is the remainder when f is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -279845, -279844, -279843?\n\"Answer: o - 279846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -67253*c - 672503. Give o(-10).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1778863*b + 508516.\nAnswer: -1778863","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 7 = -17, 7 = 3*o + r. Suppose 3*s = -o*s + 468. Let v be 324\/s - (-2)\/(-13). Solve -a - 3*z = 13, v*z - 4 = 5*a - a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 188 and 282?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the first derivative of 0*o**3 - 1\/60*o**4 + 0*o - 1\/2*o**2 + 1 - 1\/150*o**5. Let v(l) be the second derivative of c(l). Factor v(i).\nAnswer: -2*i*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 295183.541 to the nearest one hundred.\nAnswer: 295200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4128 divided by 4.\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*x**2 + 0*x**2 - 2*x**2)*(155*x - 121*x - 164*x) as w*x**3 + f*x + p + q*x**2 and give w.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/12)\/(-66 - 84552\/(-832)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.1 in -0.4, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -28009, -28045, -28081?\n\"Answer: -36*d - 27973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*-232.9474.\nAnswer: 69.88422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 21?  (a) 2  (b) 0.07  (c) 3  (d) 12339\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does -0.2 = -192760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, a: 7, n: 2}. Give prob of picking 1 n and 2 h.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.087 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(1900) + 3 - (sqrt(1900) + -3 + sqrt(1900) + -3)**2) + ((sqrt(19) - (sqrt(19) + 1*sqrt(2736)))*5*-4*5)**2.\nAnswer: 250*sqrt(19) + 27352366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/(-33) + (-91)\/(-77). Let p be 8*(f - (-1)\/(-2)). Suppose p = -0*h + h. What is the remainder when 13 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1160818 divided by -580409?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c**2\/5 + 23244*c + 814030 = 0. Calculate c.\nAnswer: -35, 58145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**3 - 5*y**2 - 11*y + 9. Let a be x(7). Let r be 213\/a + 14\/35. Does r = 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z - 20, -4*h + z - 32 + 100 = 0. Let y = 372 + -164. Calculate the highest common divisor of y and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 234 a factor of 1701180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/2 - (-3 - (-164)\/48). Let g(u) be the second derivative of 0*u**2 - 1\/20*u**5 + 0 - 1\/30*u**6 + 1\/6*u**3 + 2*u + w*u**4. Factor g(j).\nAnswer: -j*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*w + 2850 = 163*w + 56*w. Let f be (-4)\/10 - (-46)\/(-10). Sort f, -1, w, 4.\nAnswer: f, -1, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 206, 1004, 3124, 7226, 13970?\n\"Answer: 110*w**3 + w**2 + 25*w + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 3*z = 6*v - 5011, -5004 = -4*v + 4*z. Let c = v + -732. Let d = -359 + c. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 976499476?\nAnswer: 2, 2647, 92227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -154862016 less than 2276436?\nAnswer: 157138452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 + 2)*(-6)\/56.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1939757?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 AM and 12:06 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c + c + 2*l - 4, 4*c + 5*l - 10 = 0. Suppose -w = -c*w - 52. What is the remainder when w is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-6)*(-2640)\/(-176)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 441455305 to the nearest integer?\nAnswer: 21011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * -2433.9\nAnswer: -1216.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the third derivative of -a**5\/12 + a**4\/24 - 623*a**2. Let t(f) = -25*f**2 + 6*f. What is -11*h(n) + 2*t(n)?\nAnswer: 5*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l + 4. Let t be f(12). Sort t, 1, 2, -4 in decreasing order.\nAnswer: 2, 1, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 33142266, 66284534, 99426802, 132569070, 165711338, 198853606?\nAnswer: 231995874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 11*q - 54. Let l(w) = 4*w - 18. Let h(a) = -8*l(a) + 3*n(a). Let p be h(9). Let d = p - -6. Let v(m) = -m**2 - m + 1. Determine v(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the third derivative of -d**8\/2800 + d**6\/600 + d**3\/6 - d**2. Let k(a) be the first derivative of f(a). Solve k(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9896*f + 106*f**2 - 9896*f)*(0*f - 3*f + f + (0 + 0 - 1)*(-f + 0*f + 0*f) - 3 + 2*f + 3).\nAnswer: 106*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 531*z**3 + 2*z**2 + 3*z**2 - 533*z**3 + 263.\nAnswer: -2*z**3 + 5*z**2 + 263","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -2*v**2. Let t(j) = -187244363*j. What is t(i(o))?\nAnswer: 374488726*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 23023122 to the power of 1\/3, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -1) + (3 - (2 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2044\/475 or -4?\nAnswer: -2044\/475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -p - 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 161 is divided by 45?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4154199748 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 643.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 126\/169 - 799\/845. Which is the closest to -2\/3?  (a) 0  (b) -2\/5  (c) -30  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0344590819 to three dps.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 - -0.09222.\nAnswer: -14.90778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, m: 1, k: 1, x: 4, l: 2}. Give prob of sequence km.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3 - -3)\/(3*(-5)\/(-1930)). Let d = i - 770. What is the nearest to -1 in 7, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 76862 = -2*n, 4*n - 15845 = -5*r + 137879. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 467652, 935341, 1403030?\n\"Answer: 467689*j - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 + 13370*q - 42 + 8 - 5376*q + 24.\nAnswer: 7994*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 173\/1722 and 36\/7.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(2736) + -1 + sqrt(2736) + sqrt(2736)))**2 - (4*(0 + sqrt(2736)))**2.\nAnswer: -1800*sqrt(19) + 571849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 262641347 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((sqrt(1200)*-2 - sqrt(1200))\/sqrt(6))**2*6 - (-5*(sqrt(7200)*1 + sqrt(7200)) + 4).\nAnswer: 600*sqrt(2) + 10793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -49*r + 1. Let g be v(7). Let x be 3\/((g\/(-39))\/3 + -3). Let y = x + 20. Is -2 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -160 + 76. Let y = -84 - o. Solve -8 = -4*t + 2*n + 3*n, 3*t - n + 5 = y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 + 10 = -n, 0 = p - 2*n + 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -7*u - 172 + 237 + 17*u. List the prime factors of n(11).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/9312696 and -101\/22788.\nAnswer: 27938088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**2 + 5*o + 2. Let z be g(5). Suppose 2932 - 2318 = -1325*f + 7239. Sort f, 22, z, 3 in ascending order.\nAnswer: z, 3, f, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 167 - 156. Let y = 1.5 + 10.5. Let a = q - y. Which is greater: 2\/11 or a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 9091*w - 10 - 9090*w + 18186*w.\nAnswer: 5*w - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 830 and 3735.\nAnswer: 7470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37406.\nAnswer: 2, 59, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1152\/(-4032)*224\/2?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-3)\/(i\/(i**4*i*i*i*i)*i))\/(i**(-4\/5)\/(i**(3\/4)\/i)))\/((i**0)**(-1\/45))**(-6) assuming i is positive.\nAnswer: i**(71\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes before 10:50 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 141.6, -0.1, -77?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 + 9 - 11) + 14 + (1 - -28).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + 5*p = 25, 1533*s - 5*p = 1532*s - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/11, -4, -4.87, 3\/7.\nAnswer: -4.87, -4, -2\/11, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r + 22 = 5*o, -42*o + 40*o + 2*r + 16 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**3 - 6*d**2 + 14*d - 6. Let v be x(-11). Suppose m = 6*m - v. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 838 - 838.1. Which is the closest to z?  (a) 2\/15  (b) -2\/3  (c) -8  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = -3*j + 2*j. Let m = j + 39. Suppose -o - 4*x + 22 = 0, -24 = -5*x + 1. Solve -o*v - n = -6*n - 11, -m*v = 2*n - 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -24 + 163. Suppose -4*f + 2*v + 186 = 0, f - 2*v = -2*f + w. Let h = f + -51. Is h at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1986, -4176, -6364, -8550, -10734?\n\"Answer: v**2 - 2193*v + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -75 + 75 - 11*s**2 + s**2 to z*s**2 + u + q*s and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 57 - -12. What is the greatest common divisor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 < 20\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 215425?\nAnswer: 5, 7, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*h - 16 = 15*h. Let b be h\/(-104) + (-89)\/(-13). Suppose b*j - 7 = 7. Sort -4, 5, j in ascending order.\nAnswer: -4, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -5*m**3 + 3*m + 2. Let v(h) = -26*h**3 + 16*h + 11. Suppose -2*a + 3*y = -28, -6*y + 3*y - 17 = -a. What is a*j(w) - 2*v(w)?\nAnswer: -3*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 269, 32, -17595 in ascending order.\nAnswer: -17595, 32, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11 - -14. Suppose -3*d - w*v + 11 = -2*v, v = d - 1. Suppose -2*c = 2*c - 8. Solve -c*s - 25 = d*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-1 + 0)*(-87 - -8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + -4.2. Let k = -0.2 - o. Suppose 2*v = -5*s + 32, v - 9*s + 6*s = -6. Which is the fourth biggest value?  (a) 1  (b) k  (c) v  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) + sqrt(3)*1 + 0 + (1*sqrt(243) + sqrt(243))**2 - (sqrt(384) - 2*sqrt(384))\/((sqrt(36)\/sqrt(3) + sqrt(12))\/sqrt(6) - sqrt(2))) + 1.\nAnswer: 10*sqrt(3) + 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 72583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 10, a: 1, y: 7}. What is prob of sequence yyky?\nAnswer: 35\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*z**2 - 35*z**2 - 2*z + 58*z**2 + 182*z**2 to m*z**2 + f + k*z and give m.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 40\/(-12)*(0 - (-15)\/(-25)). Let v be ((-3)\/x)\/((-33)\/110). What is the third biggest value in 2, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 5)*(0*q**3 + 3*q**3 + 0*q**3 + (-1 + 1 - 2*q)*(-q**2 + 4*q**2 - 5*q**2) + q**3 - 3*q**3 + q**3).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 486*l**3 + 483*l**3 - 966*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.07997 + -27.92003. Which is the nearest to 1\/3?  (a) r  (b) -12  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 3150 = 5*t. What are the prime factors of t?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 6, u: 4, e: 10}. Give prob of sequence uzu.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2\/3 + 61026*h - 732280\/3.\nAnswer: -2*(h - 91535)*(h - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -231 - -232. Solve -u = 2*x - 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1942*n - 2513*n - 2*n**3 - 13013 - 216*n**2 - 1050 - 5539 - n**3.\nAnswer: -3*(n + 6)*(n + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 3*h = -220, -3*p + 165 = -h - 2*h. Suppose -p = -8*f + 13*f. Is -11 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 + 6*d**2. Let x be a(-4). Suppose s - 22 = -2*i - 2*s, x = 3*i + 5*s. Solve 0*w + i = -4*w + 3*g, g = -3*w - 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 2*a - 174 = 0, 5*v - 3*a = 273 - 53. Suppose 5*n - 91 = -v. Suppose -n*w = -6*w - 12. Solve -5*t - 17 = w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 0*l**2 - l + 4 - 5 + l**2. Let d be ((-30)\/(-9))\/(-5) + (-128)\/(-48). Let h(z) = z**3 + 2*z**2 - 3*z. Determine d*i(k) - h(k).\nAnswer: -k**3 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16905 + 28421. What is the greatest common divisor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6828454 nanograms to grams.\nAnswer: 0.0000000006828454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y - 37*y + 269 = -25 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2417 plus 202018.45?\nAnswer: 204435.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the first derivative of 5*h**7\/42 + h**6\/3 - 7*h**5\/4 + 5*h**4\/3 + 10*h + 19. Let r(b) be the first derivative of u(b). Solve r(p) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 64?  (a) -0.1  (b) -5  (c) -0.2  (d) -329\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzdzdzzdzddzzzz. Give prob of sequence zdd.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.15076797 to 5 dps.\nAnswer: -0.15077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x - 19 + 3. Let z be (-6)\/x - (-9)\/12. Suppose z*s**4 - 3\/2*s**2 - 3\/2*s**3 + 3\/2*s + 0 = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/4)\/((-51)\/238)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -594*-0.7.\nAnswer: 415.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -1 + (-1*(sqrt(275) + -2*1*sqrt(275)) - (5 + sqrt(275)*-2 + 1)))**2.\nAnswer: -300*sqrt(11) + 2575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7376.0046396 + 7376. Round b to four decimal places.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -685, -2596, -5837, -10402, -16285?\n\"Answer: c**3 - 671*c**2 + 95*c - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53*y + 26*y + 175448 - 175448.\nAnswer: -27*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1225.868 + 1223. Let g = o - -3.1. What is g rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -34 - -9a?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44384 is divided by 1707?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 - 3*r**2 + 3*r - 1. Is 20 a factor of z(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxwxxxwwwx. Give prob of sequence xw.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -n**2*o - 9*n*o + 6*n*x - 18*o*x + 11*o with respect to n.\nAnswer: -2*n*o - 9*o + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1826, -7295, -16410, -29171, -45578, -65631, -89330?\n\"Answer: -1823*x**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-100*y - 55*y - 34*y)*(165 + 11*y**2 - 165)*(-4*y + 3*y + 3*y).\nAnswer: -4158*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes before 10:18 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 2*y - 46 = 0, -4*k - 5*y + 10 = -42. Calculate the highest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 816\/459499?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*m = -6*c - 534, 4*c - 29 = 526*m - 529*m + 59 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:40 AM and 9:39 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2.4, -1, 17, 4, 5\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 28657 or 3352702\/117?\nAnswer: 28657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -17\/10 in 0.2, -0.025, 2\/6763?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 PM and 3:22 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 2*m + 5. Suppose m*j + 2*j - 160 = 0. What is the remainder when j is divided by 10 - (2\/1)\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2\/3 + 325766708*i\/3 - 26530987010289316\/3.\nAnswer: -(i - 162883354)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4160876 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of ((-1017)\/(-452))\/(2\/40) and 603.\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 386756902.\nAnswer: 2, 7, 17, 269, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the first derivative of 0*v + 2\/3*v**3 + 0*v**2 - 9. Let p(d) = 8*d. Calculate p(x(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 87, 486, -5 in ascending order.\nAnswer: -5, 87, 486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 115.778506 rounded to zero dps?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (68\/(-51))\/(104\/(-12)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 580519 + -336356. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 divided by -39.\nAnswer: -14\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 90 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 357 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 52132 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rfsrrrrrrafsrsfts. What is prob of sequence rsf?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lcccjicljfcicclgi. What is prob of sequence clil?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 6}. Give prob of picking 4 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4626446 by 3.\nAnswer: -4626446\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q + 4 + 710 = 0. List the prime factors of q.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.14 - 163\nAnswer: -162.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 2*y - 2 = 0, 2*t + 47*y + 16 = 43*y. Solve -t*p + 5*j + 17 = -3*p, 0 = p - 3*j - 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-24)\/7*(-56)\/9 and -79\/165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 2 = -2*r. Let d = r + 4. Let i(s) = -d - 14*s - 3*s + 2. Determine i(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-2040)\/84)\/(-17))\/(3\/(9\/3))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24 and 287694.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02884 to 3 dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 139\/120 and -47\/885?\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 206 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*h + 3*h + 0*h)*(3 - 3 - 1) + 0 + 2*h + 0 - 3*h + 4*h + h + (3 + 0 - 2)*(0*h + 0*h + h) - 4*h + 4*h + 2*h + 4*h - 5*h + 3*h to c*h + p and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 404131.\nAnswer: 7, 13, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 620*g - 620*g - 19524*g**3.\nAnswer: -19524*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 6614, 26477, 59588, 105953, 165578, 238469, 324632, 424073?\n\"Answer: j**3 + 6618*j**2 + 2*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*b**2 - 4*b**2 + 2*b**2 + (-1 - 114*b + 157*b + 934*b)*(0 - 2*b - 2 + 3) in the form l*b + a*b**2 + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 404, 373, 326, 263, 184, 89?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the first derivative of 2*v**5\/15 + 13*v**4\/3 - 102*v**3 + 612*v**2 - 936*v + 2331. Suppose u(l) = 0. What is l?\nAnswer: -39, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3647015.2 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1111101 - -100010001101?\nAnswer: 100100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*c**2 - 33*c**2 + 47*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -268*o**3 + 12*o**2 + 3*o - 3. List the prime factors of i(-2).\nAnswer: 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 96*k + 35. Suppose n - 3 = g - 0*g, 4 = -4*g. List the prime factors of x(n).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b**2 + 117*b + 46 = 0. What is b?\nAnswer: -23, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 134.19822742 to zero dps.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 211567003?\nAnswer: 211567003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 72\/60*(-25)\/45.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 23.2 and 125.\nAnswer: 148.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2446 + 2446.02267. What is x rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18048\/(-288))\/47 + 1*-4.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -70589, -70564, -70539?\nAnswer: -70514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -18a7840 + -1?\nAnswer: -18a7841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1482 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: What comes next: -1966, -1691, -1418, -1147, -878, -611, -346?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**2 + 3*v**2 + 0*v**2 + 0*v**2. Let u(m) = 27*m - 11. Suppose -96 = 6*x - 30. Let s(z) = 14*z - 6. Let p(q) = x*s(q) + 6*u(q). Give p(t(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (37 - 2) + ((-15 - -2) + -12 - -9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 22270, 88364, 198288, 352042, 549626, 791040, 1076284?\n\"Answer: 21915*m**2 + 349*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 + -10. Suppose 2*q = -j*t - t + 20, 4*t + 32 = q. Calculate the remainder when 46 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -466481792 + 466481792 + b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -1867*g + 3. Let w be a(-8). Let k be 1\/(-4)*1433804\/24. Let h = k + w. Find the common denominator of -59\/20 and h.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, -2017, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -j + 0*j - j + (-9 - 14 - 13)*(0 - 3*j + 0) to the form l + q*j and give q.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * -4956.\nAnswer: -14868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -119\/3 + 241\/6. Which is smaller: n or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - 0.15.\nAnswer: -5.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000182137 to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 46 = -62. Let k(o) be the first derivative of -2*o - 11\/2*o**2 + 3 - 7\/4*o**c - 16\/3*o**3. Factor k(l).\nAnswer: -(l + 1)**2*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/4 and 65\/2092548.\nAnswer: 2092548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 - 1. Let j(x) be the first derivative of 4*x**3\/3 + 3*x - 7. Let k(w) = 3*i(w) + j(w). Let p(f) = -24*f + 7*f - 6*f. What is p(k(g))?\nAnswer: -23*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/(-39) - (-141)\/13. Suppose 0 = 3*g + 4*f + f - k, 5*f = -10. What is the greatest common divisor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/18276 and 139\/366?\nAnswer: 1114836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 33912 (base 10) to base 6\nAnswer: 421000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 115, 371, 797, 1393, 2159?\nAnswer: 3095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(4*sqrt(528)*2 - sqrt(528) - sqrt(528) - sqrt(528)))\/(-6*3*(sqrt(1331)*1 + sqrt(11))).\nAnswer: 5*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*d - 9*d - 3*d to the form b + y*d and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the first derivative of -2 + 19\/2*u**2 + u. Let f be j(1). Calculate the highest common factor of 50 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = p + 5*l, -p + 2*l = -1 - 4. Let d(i) = 5*i. Give d(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*b - 94*b**3 + 24*b - 466*b**3 + 32*b.\nAnswer: -560*b**3 + 23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 minus 2853160478592?\nAnswer: -2853160478592.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10.61 - -11.61. Which is the biggest value?  (a) g  (b) -0.03  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 + -2. Suppose 36*j = 31*j - 15. What is the nearest to -1\/4 in k, j, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 45694 - 25134. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**3 - 14*b**2 - 13*b - 9. Let j be t(-17). Suppose 4*f = -u + 839, 2*u = 4*f + 225 - j. List the prime factors of f.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 13199550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/1 - (-28 - -29). Put -3, 0.4, 1.9, a in decreasing order.\nAnswer: 1.9, a, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from {x: 13, j: 5}?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the second derivative of -c**4\/12 + 5*c**3\/2 + 18*c**2 - c + 13. Let y be g(17). What is the greatest common divisor of 49 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/15951 and 55\/8303109.\nAnswer: 107940417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 98761782.\nAnswer: 2, 3, 7, 311, 7561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-3)*x*x**8*(x**(-7)\/x)\/(x\/(x*(x*x*x**(-1))\/x*x*x)))**(-21) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m**3 + m**2 + m + 41. Suppose -6 = 4*o - p + 2*p, 3*p = -3*o. Let u be (o + 2)*6\/6. Is 7 a factor of y(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -138*d**2*r**3*u + d**2*u**3 - 2*d*r**3 - 3*d*u**3 + u**3 wrt d?\nAnswer: -276*r**3*u + 2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 6:48 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**3 + 5*b**2 - 5*b + 8. Let p be n(-6). Suppose 3*r = 4*s - 10, -r + 2*r + 4 = p*s. What is the remainder when 20 is divided by s\/(-2*(-1)\/22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(120)\/(2*sqrt(10)) + sqrt(24)\/(sqrt(2)*1) + sqrt(12))\/((sqrt(196) - 3*sqrt(196) - sqrt(4))*-4))**2.\nAnswer: sqrt(3)\/12 + 193\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -4*k - 1. Suppose n - 3*f - 18 = -0, k = 5*f + 25. Solve 10 - 1 = n*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -277763.9*0.07\nAnswer: -19443.473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 62*f**2 - 63*f**2 + 1.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*g + 2*g + 0*g)*(0 + 4 - 2 + 4 - 4 - 1 + (1 + 1 + 0)*(2 - 5 + 0))*(-2*g - 4*g + 3*g).\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 24591593\/6 or 4098600?\nAnswer: 4098600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 9*a - 1. Let r(m) = -9*m. Let s(d) = 3*p(d) + 2*r(d). Suppose -4*w + 17 - 13 + 8 = 0. Let c(i) = 5*i - 2. Give w*s(u) - 5*c(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -63, -3\/2, -687752?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + s + 3 = -2*s, -o - 2*s = 2. Suppose -4*m + 796 = -0*m. Is (o + 0 + 1)*m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -44*p**3 + 2*p**2. Let h(c) = 220*c**3 - 11*c**2. Determine -2*h(w) - 11*z(w).\nAnswer: 44*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 64, 128, 194, 262, 332?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-11)\/(1210\/475)*(-1108)\/5. Let q = -958 + x. Calculate the common denominator of q and 21\/79.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - 100121111020?\nAnswer: -100121111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + 4*j - 1. What is the units digit of (-2 + 12)*(j + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 24*3\/30*5. Let m(l) = -l**2 + 11*l + 12. Let w be m(v). Let b = -6 - -3. Which is greater: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -552 - -556. Let m = 6.3 + 36.7. Let x = m - 41. Which is the nearest to -1?  (a) u  (b) 1\/4  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 29 + (-9 - (79 - 48)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.0006 - -2.4694. Let w = 13 + -12.89. Let f = b + w. Round f to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -389, -2948, -9879, -23366, -45593, -78744, -125003, -186554?\n\"Answer: -364*f**3 - 2*f**2 - 5*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -508*g**5 + 601*g wrt g.\nAnswer: -10160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/2223 and -8\/25?\nAnswer: 55575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1.1 * 11.021558\nAnswer: 12.1237138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -75\/37752736 and -50\/77.\nAnswer: 415280096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10087 - -10090.00075. Let w = -3 + i. Round w to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-10)\/(-6) + 2\/6. Let a be (-1)\/2 - (-5)\/2. Let i(x) = x**2 + 2*x - 3. Let t be i(1). Solve -q + a*q - z = t, -5*y + 4*q - 18 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(-2\/7))**(-1\/6)\/(a**2\/a)**6 assuming a is positive.\nAnswer: a**(-87\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the second derivative of l**3\/6 - 3*l**2\/2 + 23*l. Give p(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -184*z**2 - 9*z + 2. Let u be k(7). Let t = 14116 + u. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(75) - -4*sqrt(75)*-3).\nAnswer: -55*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(171) - sqrt(171)*4) - -1*4*sqrt(171))\/(6*(sqrt(27)\/sqrt(3) + sqrt(9))*6*3).\nAnswer: -7*sqrt(19)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 20*o**3 - o**2 + 2*o - 1. Let m be x(1). Suppose 17*a - m*a = -408. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes before 10:32 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 12412, 12632, 12852, 13072?\n\"Answer: 220*l + 12192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, m: 1, v: 2, b: 1, d: 2, f: 2}. Give prob of picking 1 f and 1 m.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -11002200100220 (base 3) in base 15?\nAnswer: -2d0749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 165492460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (5\/(-35)*8)\/(2\/(-7)). Suppose c - 39 = -5*y, 2*y - 221 = -w*c - 47. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4\/403 - 13674\/2821. Let h = 5461 - 65479\/12. Let i = h + 193\/84. Calculate the common denominator of s and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 17*b**2*d**2 - 2*b**2*i - 2*b*d**2*i**2 - 18*b*d**2 + 5*d**2*i wrt i.\nAnswer: -2*b**2 - 4*b*d**2*i + 5*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*d - 30 = 652*v - 648*v, v = -2*d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 54317?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of 39 and -0.3.\nAnswer: 38.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-336)\/(-160))\/(1\/(-5)) - 12\/(-2).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 - -9. Suppose -2*c**r + 0 - c**4 + 1 + 3*c + 2*c - 3*c = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -3*s + 16 + 32, -4*s + 2*k = -38. Let m(p) = -p + 15. Let g be m(s). Suppose -t + g*l - 76 = -5*t, 2*t + l = 40. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -610 - -613. Let h be (5 - o) + -3 - (-4)\/1. Factor -93\/10*c - 9\/5 - 9\/10*c**h - 28\/5*c**2.\nAnswer: -(c + 3)**2*(9*c + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -1, -5 in descending order.\nAnswer: 6, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3 - 2)*(-12 - 0). Let t(u) = -10*u + 10. Let n(v) = v - 1. Let f(o) = i*n(o) - t(o). Let q be f(1). Solve q = -3*a - 0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**2 + 10. Let j(v) = -v**2 + 10*v - 9. Let z be j(9). Let y be s(z). Round y to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m**3 + 64*m**2 + 460*m + 1. Determine y(-19).\nAnswer: 647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of p**5\/12 + p**4\/24 - 4*p**2. Let g be j(-1). Which is greater: 2\/7 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**2 - 7*j - 3. Let u be v(-3). Let c be (-72)\/u*(-1 - 0). Is 7 a factor of 25\/100 - (-2)\/(c\/643)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -258?  (a) -3  (b) -0.128  (c) -18  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-651)\/(-260) + 216\/(-1404) and -89\/135.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3*27\/972)\/(22\/(-16)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1163 divided by -3\nAnswer: 1163\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 + 8*u + 7. Let y(c) = 3*c - 21*c + 6 + 20*c + 5*c. Determine -6*r(v) + 7*y(v).\nAnswer: 6*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 78430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of h**5 + 15*h**2 + 4*h + 8 wrt h?\nAnswer: 20*h**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -53 - -92. Let c = p - 39. Solve 2*l + 2 = -2*d, c = -l + 6*l - 5*d - 15 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 - 4)*(-5 - 1 + 2)*(0 + 3 - 4)*(0*k + 4*k - k).\nAnswer: -60*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -4*z + 4*u, -7*u - 1 = -z - 8*u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 39 + -38.7. What is the nearest to 1 in -0.2, 0.4, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 531 divided by -149?\nAnswer: -531\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 - y**2 + y. Suppose 3*i = -6, -6*f - 4*i - 23 = -f. Let x(c) = -3*c**4 - 9*c**3 + 3*c**2 + 3*c + 3. Let b(t) = f*p(t) - x(t). Factor b(j).\nAnswer: 3*(j - 1)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes after 10:47 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 998*f**3 + 12*f**2 + 7*f. Let u(c) = -1996*c**3 - 21*c**2 - 13*c. Calculate -7*l(r) - 4*u(r).\nAnswer: 998*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -681*d + 684*d = 9*v - 30, -2*v - d + 15 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 49 + -89. Let m(y) = -3*y + 4. Let a be m(-6). Let u = v + a. What is u rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*z - 10*z + 4*z)*(3 - z - 3) + (0*z + 2*z - 4*z)*(-2*z + z + 0*z) as s*z**2 + n + g*z and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 3*h**2 - 158*h + 98. Determine k(52).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.06538 to three dps.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 127\/44*(8\/188 - 0). Let s = z + -3\/94. Sort -3, s, 2\/9 in ascending order.\nAnswer: -3, s, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -279 + 274 + 5 - 4*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -80, -81, -82, -83, -84, -85?\n\"Answer: -p - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11223 + -11222.999965625. Round y to 6 dps.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 21*o - 4. Let z(r) = -5*r. What is d(z(m))?\nAnswer: -105*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 10*h**2 + h. Let o = -9 - -1. Let j = o + 38. Calculate the remainder when j is divided by t(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11135 divided by 2227?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes after 9:08 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 148005316 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 5*r + 5. Let u(d) = 14*d + 14. Let k(l) = -4*u(l) + 11*z(l). Let v be k(0). Which is smaller: v or 1\/8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 times -10832?\nAnswer: -194976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and 1289458?\nAnswer: -515783.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 2*i**2 + 253352196*i + 8023416902252802 = 0?\nAnswer: -63338049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 5*f + 70 = 0, 2*l - 2*f = f + 24. Suppose -c = -2, 5*c + 2 = -3*u + l. Is 13\/11 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51479*u**3 - 102951*u**3 - 1 + 1 + 51479*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2440671239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the first derivative of -69*l**5\/5 - l**2\/2 + 5*l + 83. What is the second derivative of u(a) wrt a?\nAnswer: -828*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 588, 38?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -128, -261, -396, -533, -672?\n\"Answer: -y**2 - 130*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-3 + -1) + 14\/(-12). Put 2, -2\/11, 0.1, q in decreasing order.\nAnswer: 2, 0.1, -2\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-22)\/(-6)*1494\/(-913)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 659*r - 2344. Let c(m) = -m + 4. Let l(i) = 3*c(i) + t(i). Differentiate l(s) with respect to s.\nAnswer: 656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -83*j**2 - 65*j**2 + 294*j**2 - 98*j**2 - 64*j**2.\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1079 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18 (base 13) to base 12.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2, 20, 42?\n\"Answer: 22*s - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -2*f + 4*f**2 + 7*f + 1 + 3 - f**3. Let c be a(5). What is the remainder when 5 is divided by c\/(-10)*(2 - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1\/(-2))\/((-25)\/(-1300)*-13). Solve 5*q + b - 12 = -p, -13 = -q + 2*b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 61 = 37. Suppose -2*c + x = 2. Suppose 1 = -3*g - l, g + 0 = -c*l - 5. Solve 4*y - 9 + 1 = g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10591088 a multiple of 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2\/15, 568 in decreasing order.\nAnswer: 568, 2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 5868 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1015 a factor of 12585792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 58\/14695 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-2*sqrt(84))\/(sqrt(972)*1)*4.\nAnswer: 8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -239150 divided by -21?\nAnswer: 239150\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5440 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -29606*h**2*o - 14*h**2 + 314*h*o - 34775*h - 2 with respect to o.\nAnswer: -29606*h**2 + 314*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 117235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -23 + -2. Let z be (820\/k)\/(3\/(-15)). Suppose -2*s + 4*w + 59 = w, 5*s - 2*w - z = 0. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25\/1395*(-7)\/(-3)*(-40176)\/(-78120).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -13643955 divided by -249?\nAnswer: 54795","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Round 39883.59068 to zero decimal places.\nAnswer: 39884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**3 + 9*f**2 + 13*f - 111. Give z(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vte when three letters picked without replacement from biietvbviv.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - g - 3)*(17 - 17 - 9*g).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-5)\/(-20))\/((-3)\/(-12)). Suppose -5*r + 6 - 11 = 0. Which is smaller: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88 = -26*t + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7206 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 57 - 51 - (1 - -2) - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 40 and 4032?\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.27 * 493049\nAnswer: -133123.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 433 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 21*q**2 - 17*q**2 - 4*q - 13*q**2 + 5*q wrt q.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100*g + 10 = 98*g. Let v(m) = 3*m**2 + 2*m. Let r(d) be the first derivative of 7*d**3\/3 + 5*d**2\/2 + 1. What is g*v(w) + 2*r(w)?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.496641806 to 2 dps.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:11 PM and 10:36 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (-6 - (-1 + -9)) - -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tdw when three letters picked without replacement from vvcctctwtttd?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 128735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 410563 to the power of 1\/2, to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2441 or -2126546\/871?\nAnswer: -2126546\/871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -8*s**3 + 19*s**2 + 162*s + 14. Let z(m) = 2*m**3 - 6*m**2 - 54*m - 4. Determine -2*g(x) - 7*z(x).\nAnswer: 2*x**3 + 4*x**2 + 54*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**3 + 6*n**2 + 8*n - 4. Let z be g(-3). Let u be 22\/1 - 5\/z. Let f = 32 - u. Solve 4*p - 1 + 11 = 2*q, -4*p + f*q = 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(2 + (1 - 2)). Let i be 23 - (15\/10 - 2\/4). What is the first derivative of 6*l**4 + 22*l**3 - i*l**3 + h wrt l?\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of -1\/20*k**5 - 4*k + 0*k**3 + 0 + 1\/4*k**4 + 63\/2*k**2. What is the derivative of t(s) wrt s?\nAnswer: -3*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -985*q + 979*q = -6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 29997, -0.1, -533 in descending order.\nAnswer: 29997, -0.1, -533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 317a + 12?\nAnswer: 318c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -12113\/390 - -1696\/65. Let g = -36\/139 + 4679\/2502. What is the common denominator of h and g?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17\/2, 4\/77, -6, -4 in descending order.\nAnswer: 17\/2, 4\/77, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 102475999?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*f = 26*f - 99. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/(-22) + (-138)\/33. Let q(f) be the second derivative of -1\/12*f**4 + 0 + 3\/2*f**2 - 3*f - 1\/3*f**3. Determine q(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -3*z + 85, -91 = -5*z + 2*v + 46. Solve -z*y + 23*y = 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15927482?\nAnswer: 2, 2309, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*-6.58.\nAnswer: -1.974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.9 - 1.1. What is the second biggest value in -1, b, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 66344*g**2 - 18*g - 9?\nAnswer: 132688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(352)*2)\/sqrt(8).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 155 - 139. Calculate the greatest common factor of 144 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s - 8 = 3*g, 2*g - 2*s + s - 12 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 7726?\nAnswer: 7726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -4 + 4 + sqrt(4114)\/sqrt(2).\nAnswer: 2 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 + -16. Suppose 5*y = 4*i + 77, 0*y = 3*y - 5*i - 54. Let z = s + y. Solve z*x + 4 - 1 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 39510 divided by 7902\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -2059 + 59. Round a to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 98*b + 0 + 6 - 1.\nAnswer: 98*b + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -184004 or -184026?\nAnswer: -184026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7)\/(-21) + 10\/6. Let t = l - -1. Solve 0 = -b - 3*u + 4*u - 1, -1 = 5*b - t*u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the third derivative of 0 - 1\/72*t**6 + 1\/8*t**5 + 2\/3*t**3 + 0*t**4 + 8*t**2 + 0*t. Let v(q) be the first derivative of z(q). Factor v(s).\nAnswer: -5*s*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k**2 + 4*k**2 - 4*k**2)*(0*k + 2*k - 4*k + k - 3*k + 0*k + (-5 + 4 + 2)*(-k + 3 - 3) + 0 - 2*k + 0).\nAnswer: -21*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 31 - 25 - 4*a**2 - 20 + 3*a**2. Determine b(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 37.3 + -36.3. Which is the second smallest value?  (a) -0.1  (b) s  (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - 7. Let o = 173 + -174. Which is the third smallest value?  (a) o  (b) 5  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.10765 times -2\nAnswer: -0.2153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -1696*r**4 + 167 + 1694*r**4 + 2880 + (0*r**4 + 4*r**4 - 3*r**4)*(1 + 0 + 0) in the form l*r**4 + n + b*r**2 + g*r**3 + q*r and give n.\nAnswer: 3047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -2*r**3\/7 - 13195256*r**2\/7 - 13195250*r\/7 + 26390508\/7 = 0.\nAnswer: -6597627, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16115\/21554 + 14\/829. Find the common denominator of -49\/6 and f.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16295329.\nAnswer: 419, 38891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 2*z = z - 3*z + 44, 0 = 5*z - 12 - 8 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the second derivative of 4\/3*k**3 - 1\/20*k**5 + 5\/12*k**4 - 1\/2*k**2 - 13 + 2*k. What is w(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -36*n**3 - 27*n**3 + 3 + 10*n + 87*n**3 + n**2 - 27*n**3 + 2*n**4 to o*n + c*n**3 + s + m*n**4 + p*n**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35852 is divided by 919.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/948 and -77\/2364312?\nAnswer: 2364312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 132 and 1116.\nAnswer: 12276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-2)*54\/405 + 192\/430.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 575646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 151*r + 2418. Determine v(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 98689*a + 121925?\nAnswer: 98689","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 82*w**2 - 39*w**2 - 42*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -168 - 120. Let w = r - -458. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -607.0207 + 607. What is v rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide (2*-19)\/(8\/10*375\/(-2850))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3099, 5990, 8673, 11148, 13415, 15474, 17325?\nAnswer: 18968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.047  (b) 6  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = -3*p + 28. Let m be p\/187 - (-4)\/(-22). Let u = -3863 + 3865. What is the nearest to m in -1\/4, u, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -1 + (-3 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) 0.4  (c) 90580\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 176 is divided by 107.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 3, n: 7}. Give prob of picking 2 b.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -4*w**2 - w + 1. Let h be v(-1). Let k(s) = -s**3 - 6*s**2 - 6*s - 5. Let n be k(-5). Sort -4, h, n in increasing order.\nAnswer: -4, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 2.784015 months?\nAnswer: 0.023200125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -8*m + 2*m. Let u(p) be the first derivative of -p**4\/4 + p**2 - p - 1. What is u(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.108 - 0.278. What is the closest to -2 in m, -3, -1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-5) + 285\/(-900). Let w(t) be the second derivative of 0 - x*t**4 + 2*t + 0*t**3 + 0*t**2. Let a(y) = -y**2. What is w(a(z))?\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ciah when four letters picked without replacement from aahhcfifihhj.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.116 and 6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7080 and 57.\nAnswer: 134520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3*-4547*(-46)\/6. Suppose -a = -21*r + 38282. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**3 - 8*s**2 + 5*s - 17. Let b be d(-9). Suppose 15*n - b*n = -8. Solve n*p = 3*i + 6*p + 32, i = 3*p + 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18209791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 7*g + 196 = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-7) + (-88)\/(-14). Find the second derivative of 8*y + y - 1 + 1 - x*y**3 wrt y.\nAnswer: -36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/5?  (a) 0.3  (b) 0.2  (c) 6593\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 take away -37.8?\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -2*q**2 - 403*q - 147. Let f be d(-76). What is f rounded to the nearest one hundred?\nAnswer: 18900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -178 = 8*m - 10*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iikajmjivjimjvji. What is prob of sequence iamm?\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 3*w + 44268 = 0, 3*w - 5 - 7 = 0. Suppose o = -d + 9*d. Suppose -r = j - 3*r - 228, 5*j = -r + d. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s = 5*h + 53, s = 222*h - 224*h - 19 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 7  (b) 0  (c) 0.076  (d) 34  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.4 + 1. Let h = -5.5 + 5. Let l = h + 0.6. What is the third smallest value in w, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 - 3068735298?\nAnswer: -3068734931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9 and 89.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 717*n + 88 = 719*n. Suppose -8*h - n = -11*h - w, 52 = 4*h - 2*w. Calculate the highest common divisor of 26 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1017640 and 794200?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 AM and 4:15 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1827227 and 0.02?\nAnswer: 36544.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 766366541?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 j, and 2 q when four letters picked without replacement from {s: 1, q: 2, o: 2, j: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9704*q**3*s + 14528*q**3 + q wrt s.\nAnswer: -9704*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -350*h**3 - 22*h**3 + 31*h**3.\nAnswer: -341*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**1)**21\/((l**4\/l)\/l**(-6)))**0 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4869 + -4647. Which is smaller: 194 or j?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 - 15*z**2 + 13*z + 20. Let m be x(14). Suppose -q + m = 2*q. What is the remainder when q is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2688 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 139 = 4*r - 121, -3*t + 5*r + 23 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/551 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 84*n + 86*n - 1.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 2*i + 5)*(-106*i + 70 - 70).\nAnswer: 212*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3013078650?\nAnswer: 2, 3, 5, 73, 275167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 32 = 25*d - 24*d, -d = 2*q - 60. Calculate the smallest common multiple of 20 and q\/154 - 1976\/(-22).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7667 - 3397 = -3*w. Let x(b) = 7*b**2 - 4*b + 5*b**3 - 3688 + w. Let c(r) = 9*r**3 + 13*r**2 - 7*r. Calculate -4*c(g) + 7*x(g).\nAnswer: -g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 3\/11, 0.06, 4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 1 + 1 - 3 + 5 + 1 + 1 + 2 - 5 + (0 - 2 + 1)*(-2 + 1 - 1) - 2 + 0 + 0 + 7 - 14 + 9)*(90 + 27 + 38)*(-3*z + 0*z + 2*z) as m*z + v and give m.\nAnswer: -775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 36*y - 7. Calculate the remainder when q(3) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22849 and 4069.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f = -s + 36, 4*f - 208 + 200 = -10*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 30*q + 24. Suppose -15 = -14*p - 1. Let t(u) = 11 - p - 5 + 6*u + 0. Determine 5*r(d) - 24*t(d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 2*l - 2*l + 2*l**2. Suppose 2*i - 25 = 21. Let b(m) = -15 + 40 + i*m - 25. Determine z(b(h)).\nAnswer: 1058*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**3 + 8*a**2 - 8*a - 2. Let t be y(7). Let h(p) = p**2 - 2*p + 21. What is the units digit of h(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*s = -45*s + 15937 + 6603. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6.6 - -6.7. Let v = -0.68 + 0.18. Let y = 0.69 + -0.29. Which is the closest to -0.04?  (a) v  (b) y  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -5533, -11200, -16867?\n\"Answer: -5667*z + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(1584) + -1 - sqrt(1584))**2.\nAnswer: -24*sqrt(11) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 6*c**3 - 3*c**2 + 7*c. Let w(k) = 6*k**3 - 3*k**2 + 13*k. Let o(f) = 2*f**3 - f**2 + 4*f. Let i(a) = -7*o(a) + 2*w(a). Give -7*i(x) - 2*q(x).\nAnswer: 2*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -80663 + 6?\nAnswer: -80656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from xxtxxkkxtxtxtx.\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1490 + 1476. Let o = 5.9 - 6. Which is greater: k or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 5 - 10 = 0, -4*p = -2*a - 628. Let u = a - -796. What are the prime factors of u?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3\/(-2))\/((-10)\/(-8) - 2). Let j = -1.8 - -1.8. What is the nearest to p in -5, -0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 4*q - 4. Let n(a) = 23*a + 19. Let p(c) = 294*c + 245. Let x(k) = 77*n(k) - 6*p(k). Give 5*v(t) - 3*x(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -483, -391, -223, 33, 389, 857?\nAnswer: 1449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -188*n**2 + 87*n**2 - 1032*n**2 in the form q + w*n**2 + v*n and give w.\nAnswer: -1133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 144 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, -135, 1 in increasing order.\nAnswer: -135, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4*1*(4 - (0 + 0)). Calculate the highest common factor of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63001 is divided by 6980.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 12 = -2*d, -y + 0*y + 6*y = 9*d + 19 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are 540834 and 1622500\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -100 - -120. Let l(b) = -11096 + 11096 - c*b. Let v(o) = o**2. Give v(l(k)).\nAnswer: 400*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.05 or -313\/4?\nAnswer: -313\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 p, 1 i, and 1 s when four letters picked without replacement from osihwhowhwspiwo?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30 and 98160630?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 0.6, -30, 8917\/3 in descending order.\nAnswer: 8917\/3, 0.6, 0, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -10741*d**2\/2 + 161113*d\/2 + 15 = 0?\nAnswer: -2\/10741, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 85 - 49. Calculate the greatest common factor of 36 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, 5, 50, 1, 24 in decreasing order.\nAnswer: 50, 24, 5, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 10*p**3 - 23*p**2 - 95*p - 5. What is the thousands digit of m(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -2*u**2 - 32*u - 2. Let x be g(-16). Let m(h) = 4*h**2 + 13*h + 11. Let i be m(x). Which is greater: 21\/31 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rbrrrrrrrbrrrrbb. What is prob of sequence rbr?\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 4) + -10 - (242 - 245).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 67477*d*o*u**4 + 20*d*o*u**2 + 2*d*u**4 + 5*o*u**3 + 19621*u**2 wrt u.\nAnswer: 1619448*d*o*u + 48*d*u + 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**(-9)*z)\/z*z)\/(z\/(z\/z**(-1\/5))))\/(((z\/z**(1\/4))\/z)\/(z\/(z*z**12))) assuming z is positive.\nAnswer: z**(-371\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.1 - -3.9. Suppose 2*z - w = -5*w + 42, -78 = -3*z - w. Let d be 0\/2 + 6\/z. Put -1\/4, f, d in descending order.\nAnswer: f, d, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (99\/(-1452)*(-8)\/60)\/(1\/10)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -36461, -3, -2, -52 in descending order.\nAnswer: -2, -3, -52, -36461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-34)\/(-34))\/(((-138)\/4)\/(-35 - -38))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(-2)*(-8)\/(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114 = 40*c - 672 - 602 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 33*b. Let s(n) = 18*n**2 - 3. Determine z(s(y)).\nAnswer: 594*y**2 - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - -b62?\nAnswer: b66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(-1\/2))**36*(s*s*s**8\/s*s*s)\/(s\/s**4)*(s\/s**(1\/11))\/(s\/(s*s**(-2\/15)))*(s**1)**(-16) assuming s is positive.\nAnswer: s**(8708\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -4*t**2 - t - 1. Calculate h(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 179455114 to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*u - 3\/2*u**2 + 8 - 1\/4*u**3.\nAnswer: -(u - 2)*(u + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**2 - 10*h - 8. Let p(s) = -2*s**2 - s + 2. Let l(v) = -p(v) - u(v). Suppose 2*o + b = -b - 12, 3*b - 30 = 5*o. Calculate l(o).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - (-2 - 8)) + -11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mkmk when four letters picked without replacement from {k: 4, m: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -159 in 0.03, -4\/19, -2\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from eeejmejejesselsvv?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.12 + 0.22. Let t be (-6)\/(-4)*((-22)\/6 - -1). Let f be t\/3*1\/6. Put 1\/2, f, h in descending order.\nAnswer: 1\/2, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 524 and 156021.\nAnswer: 624084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15359815?\nAnswer: 5, 43, 199, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 291512 and 572.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(3\/2)\/((u*u**(-3\/5))\/u))\/(u\/u**(-2\/7))**44)**23 assuming u is positive.\nAnswer: u**(-87699\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 0*o**2 + 0*o**2 - o**2 + o - 1. Calculate k(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*x**3 + 12862063941 - 12862063941.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c - 1. Let d be q(-17). Let k = 40 + d. Suppose 2*w - 132 = -2*w. Calculate the greatest common factor of k and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 5, -192\/143 in ascending order.\nAnswer: -192\/143, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 320662 to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1929222 divided by 342.\nAnswer: 5641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -19592.3122 rounded to the nearest 10?\nAnswer: -19590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -4*m**5 + 4485*m**4 - 1108133*m**3 - 4209747*m**2 - 2253375*m + 843750 = 0.\nAnswer: -3, -1, 1\/4, 375, 750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 35*k**2 - 19. Let c(g) = -3*g. Calculate h(c(y)).\nAnswer: 315*y**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 21 = -5. Let s(n) = -n**2 + 19*n + 26. Let v be s(21). Let j = o - v. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.403 times -2\nAnswer: -0.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-32)\/(-320))\/(4\/(-16)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 225 + -222. Suppose 5*a - 3 - 32 = 0. Solve a - 19 = -d*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*j + 62 - 62 + j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 324 and 729.\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 + 9*y + 3. Let v be g(9). Let k be (2\/v)\/(2\/24). Suppose 2*i = -8, -3*q - 5*i = q + k. Let s(m) = m**3 - 4*m**2 + 3*m - 3. What is s(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the second derivative of -569*k**6\/30 - k**5\/20 + k**4\/6 + k**3\/3 + 305*k**2\/2 + 3*k - 884. What is the third derivative of o(s) wrt s?\nAnswer: -13656*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81523.54 tonnes in grams?\nAnswer: 81523540000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -5*d - 165, 63 = -2*d - 0*d - h. Suppose -7*u - 44 = -29*u. Sort d, 0, 5, u.\nAnswer: d, 0, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 + 4. Let r = 5 + x. Suppose -r*l + 1740000 = -0*l. Round l to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3234 = -48*u + 6834. Let z = -37 + 114. Which is greater: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of 0*y**2 - 1\/5*y**6 + 44*y + 0 + 4\/5*y**5 + 2\/3*y**3 - 7\/6*y**4. Suppose u(c) = 0. What is c?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46 - 61 = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 - 3*h**2 - h + 6. Let w be z(3). Let q(a) = 5*a + w*a - 15*a + 8*a. Let v(p) = -3*p**2 - p. What is 2*q(m) + v(m)?\nAnswer: -3*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-36 - 26*l + 36)*(0*l + 3*l + 0*l)*(0 + 1 + 0).\nAnswer: -78*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4, u: 11, o: 3}. What is prob of sequence oouu?\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 30895 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1777 divided by 4457\nAnswer: 1777\/4457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.7 and -405700?\nAnswer: 283990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**2 - 109*c - 706. What is o(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(1053) + 3)*-5)**2 + 5.\nAnswer: 1350*sqrt(13) + 26555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 66392 = -2*d, 145*d - 149*d + 132782 = -3*v. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 3, q: 1, i: 1, x: 10, y: 2}. Give prob of sequence yyiq.\nAnswer: 1\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 4 + 14 - i.\nAnswer: -i + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 63924536 divided by 4917272.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3\/46, -2\/255, -3?\nAnswer: -2\/255","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -42*k**2 + 127*k + 25132. What is m(-23)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 31*l**2 - 8*l - 35. Let h be d(-4). Calculate the greatest common divisor of h and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27.8 times -0.6?\nAnswer: 16.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 717*p**2. Let u(l) = l. Calculate v(u(x)).\nAnswer: 717*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 21066142693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from traarlr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15 + -9. Find the second derivative of 0*v + 3*v - v - s*v**5 wrt v.\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-3 + 4 + (sqrt(1900) + (sqrt(1900) + (2 + sqrt(1900) + sqrt(1900) - sqrt(1900)) - sqrt(1900)) - sqrt(1900))**2 + -6*(4*sqrt(1900))**2 + 5).\nAnswer: -360980 + 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 40 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3315661170 and 2172?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2710837 is divided by 903607?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 10 and 47.\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12069, 24133, 36197, 48261?\nAnswer: 60325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -7*q - 160. Let p be i(28). Let g = p - -396. What is the remainder when g is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**3 + 15*l**2 + 12*l - 31. What is z(-13)?\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 190 + 17. Let w = f - -292. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 39 = -4*l + 166, 0 = -5*l - 4*v + 156. What is the lowest common multiple of (-15)\/(-5)*22\/3 and l?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -2*t - 3. Let r = -250 - -258. Suppose 0 = 2*b + r, -42 = -4*c + 5*b + 86. Calculate the lowest common multiple of j(-3) and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-570)\/1425)\/((-1)\/(-10)). Sort 4, p, -3, 49.\nAnswer: p, -3, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes before 10:50 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the third derivative of -w**5\/60 - w**4\/4 + w**3 + 4*w**2. Let b be g(-6). Solve y + 10 = b*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - -2 - (-2 + 6). Let j be ((-6)\/(-18))\/(a\/(-12)). Solve j*c - 4 = -0*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/8)\/((-78141)\/610 - -125)?\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**3 - s + 1. Let c(i) = -76*i**3 - 38*i + 38. Calculate 2*c(z) - 76*u(z).\nAnswer: -76*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -6*i**5 + 76*i**4 - 280*i**3 + 300*i**2 - 34*i - 56 = 0.\nAnswer: -1\/3, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + ((sqrt(931) + (1*sqrt(931) - sqrt(931)) + -4 + sqrt(931) - sqrt(931) - sqrt(931)) + -5)*-3)**2.\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23 + 72. List the prime factors of a.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 633203.\nAnswer: 331, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 0 - u + 1\/3*u**3 + 2\/3*u**2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 14*r + 747. Determine y(-57).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10 - -5. Suppose m - 3*c - 27 = 0, -3*m - 5*c = -17 - 8. Let i = x - m. Solve 5*l - l = i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.36 - 18.64. Let o = d + 19. Let v be 5\/(-14)*-2 + -1. Which is greater: v or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1431*c**2*g**2 + 20*c**2 - 2*c*g**2 - 5*c wrt g?\nAnswer: -2862*c**2*g - 4*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 AM and 10:46 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4053*r - 2656*r - 14629*r.\nAnswer: -13232*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 1\/3  (b) -3\/4  (c) -0.1  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 10 = 5*b, -w + 9 = 4*b - 0*b. Calculate the lowest common multiple of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 + 43*k**2 - 1465*k + 3499. Calculate a(-66).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 240229\/506922 + 3\/6499. Find the common denominator of r and -3\/224.\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (5*-6*(-2 + sqrt(242))*-3 + 5)*-2 + 5)**2.\nAnswer: -1389960*sqrt(2) + 7964001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23*f - 23*f + 75*f + 3*f**2 - 2 + 2*f**3 + 7 - 28*f to the form z*f**3 + l + c*f**2 + i*f and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-183759)\/44 + 2\/8. Let j = l + 4171. Calculate the common denominator of j and -4\/51.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7 - 4 - 15 + (3 - 1 + 0)*(-2 + 0 + 1))*(4*r - 3*r + r) to j*r + t and give j.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the third derivative of 0*y + 1\/24*y**4 + 0 + 2*y**2 + 0*y**3. Let d(q) = -21 + 21 - 8*q + 5*q. Determine p(d(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.7420989 micrometers?\nAnswer: 0.0000000007420989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pdq when three letters picked without replacement from {g: 1, t: 1, p: 2, y: 1, q: 1, d: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 732097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1470203993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 40.4 - 26.7. Let y = -14 + z. Put -1, y, -7 in decreasing order.\nAnswer: y, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1033 is divided by 1024.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 10828 = -k. Let c = 238175\/22 - k. Let y = 247 - 3089\/12. What is the common denominator of c and y?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 53745 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 10:57 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1495430 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, -2, 1\/183 in decreasing order.\nAnswer: 4, 1\/183, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2236 and 3784?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -32208, -128881, -290068, -515823, -806200?\n\"Answer: -9*n**3 - 32203*n**2 - n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4615547.\nAnswer: 83, 55609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22962, -24021, -25080, -26139, -27198, -28257?\nAnswer: -29316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange a + 21*a**2 + 7*a - 3*a - 11*a**2 to t + x*a**2 + r*a and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 81013490 is divided by 8431?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -151.1937 rounded to the nearest integer?\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 8\/(-4) - 0 - -3. Suppose m + u - 16 = 0. What is the remainder when m is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -34 + 67. Let i = t + -15. Let w = 18.1 - i. Is w bigger than 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2d06f6 (base 16) to base 4.\nAnswer: 23100123312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -2*x + 12, -3*u = 2*u + 4*x - 20. Let s = 0.1 - 2.1. Let z = 2.1 + s. Sort u, z, 2 in decreasing order.\nAnswer: u, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 383*u - 20 = 393*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12000217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -205, 0, -4, 6 in ascending order.\nAnswer: -205, -4, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -495 or -485?\nAnswer: -495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 3*v = 12, -2*v = t - 6*v - 16. Solve t = -5*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 796 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7 and 5639158?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-9) + (-18)\/(-81). Let p be -13 - (g - (7 + -3)). Let k(z) = -z - 6. Let v be k(p). Solve d + 5 = v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 30 - 38. Let u = -3 - b. Suppose 3*h + 126 = u*c, -6 = -5*h + 9. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -228\/13  (b) -3  (c) -4  (d) 3  (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 - -5. Let g = 2.1 + s. Let k = -2193081 + 2193081. Which is the closest to k?  (a) g  (b) -5  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000406671804 rounded to seven dps?\nAnswer: 0.0004067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.234 and -0.06.\nAnswer: -0.01404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(65)\/(sqrt(35)\/(sqrt(7) - (sqrt(7) - sqrt(28)\/sqrt(4))) - sqrt(5) - sqrt(5)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l**2\/8 - 289895*l\/8 + 289893\/4 = 0. What is l?\nAnswer: 2, 289893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1006 and 168098.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -4*a - 44. What is the remainder when d(-14) is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*y**2 + 8140*y - 1838145 = 0. Calculate y.\nAnswer: -1829, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-85)\/(-51)*3*-1. What is the nearest to -1 in -1\/4, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.1, 1, -3, 4, 1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 PM and 5:37 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3\/4  (b) 1\/4  (c) -303  (d) -69.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 9*q**3 + 7*q**2 - 7. Let i(y) = 13*y**3 + 10*y**2 - 10. Calculate 5*i(g) - 7*r(g).\nAnswer: 2*g**3 + g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 3*z - 16, -z = -3*i - 4*z. Is ((-324630)\/600)\/(3\/i)*5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.4819753028 to 3 dps.\nAnswer: 0.482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q\/q**1))**14\/(q*q**(2\/3))**(3\/4) assuming q is positive.\nAnswer: q**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sum 56.7 and 0.1.\nAnswer: 56.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 0.1, -0.4, 3.7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1*5\/(-14))\/(2\/(72\/45))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -512, -513, -514, -515, -516, -517?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19280 and 19040.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 5*m + 10 = 0, o + 0*m + 7 = -4*m. Suppose 3*d = -o + 11. Suppose y - 9 = -u + 3*y, -d*y + 67 = 3*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 382, 70, 5 in decreasing order.\nAnswer: 382, 70, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -5*n**3 + 36*n**2 - 5*n - 10. Suppose -2*q - 5*i = 5, 5*q + 5 = -i - 4*i. Let d = 6 - q. Calculate the least common multiple of d and s(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1709*c**3*f**5 - 19*c**3*f - 37*c**2*f**2 wrt f?\nAnswer: 102540*c**3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 28359000 rounded to the nearest 100000?\nAnswer: 28400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45916995?\nAnswer: 3, 5, 3061133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -1 + 8 - m - 7 - 4. Let u(p) = -2. Let v = 580 + -578. Give v*c(r) - 5*u(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 214 and 142.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -230215 (base 6) to base 15\nAnswer: -5bb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the second derivative of 31*q**6\/6 + 59*q**4\/12 - 2*q**3\/3 - 181*q + 4. What is the third derivative of a(b) wrt b?\nAnswer: 3720*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1285770 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - 0. Let t = 28896 + -28886. Solve -2*f = -k*f - t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 37 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 208163 (base 14) to base 9.\nAnswer: 2053010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (18\/(-15))\/((-3)\/10). Let s = h + 41. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 + -2 + (-2 - -11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/32 and 65\/384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 + 3\/(-9))*9. Let y be (-8)\/12 - 2\/d. Let c = -0.12834 - 12.87166. What is the second biggest value in y, 0.3, c, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven eighths of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.05 - -1.05. Let r = -0.578 - 0.422. Sort r, p, -3.\nAnswer: -3, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - 0*r - 4*a - 62, 28 = r - 5*a. What is the units digit of -3 + r - (-1 + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/4 or -514.2?\nAnswer: -514.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1, 55, 111, 169, 229, 291, 355?\nAnswer: 421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3378373.\nAnswer: 3378373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 126 a factor of 2024999377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 919386\/108 + -3*1\/(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 - -31 - (-1 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 32 = a. Let z(j) = -8*j**2 - 742*j + 742*j - 3. Let c(s) = -12*s**2 - 4. Let b(d) = a*z(d) - 5*c(d). What is the derivative of b(w) wrt w?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1626\/12 - 6)*2. Suppose -s*l + 260*l = 78. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 273*k**2 + 5*k + 213. Let r(u) = -u**2 + u + 56. Give 4*r(g) - v(g).\nAnswer: -277*g**2 - g + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 8, 15, -4421 in descending order.\nAnswer: 15, 8, -1, -4421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.2 and 392523659.\nAnswer: 392523659.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 62080.\nAnswer: 3\/62080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 76 - 51. Let u = r - 27. What is the nearest to 2\/9 in -4\/3, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -28*d**2*r + d*g**2 - 32*d*g*r - 4*g**2*r + 354*r wrt d.\nAnswer: -56*d*r + g**2 - 32*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that i**2 - 3617*i - 76398 = 0.\nAnswer: -21, 3638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11, -19, -33, -53?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -233 * 149.71.\nAnswer: -34882.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2307\/5000 + 54\/625. Which is the second smallest value?  (a) o  (b) -1  (c) 793\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -4 + 2*(sqrt(512)*2)\/(-2*sqrt(64)).\nAnswer: -4*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*m**3 + 2*m**3 - 2*m**3.\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -2*u - 2. Let l be o(-2). Let h(f) = 25*f + 1. Calculate the remainder when h(l) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 540 + -499. What is the greatest common factor of 2009 and r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39366 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, s: 1, v: 1, k: 1, j: 1}. What is prob of picking 1 v and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**2 - p - 1. Let o(g) = -5*g + 8. Let s(k) = 14*k - 24. Let j(v) = 11*o(v) + 4*s(v). Let b be j(6). List the prime factors of n(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 3*q**2 + 87*q + 3. Calculate a(-29).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/292955 and -49\/135210.\nAnswer: 1757730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5036 - -3?\nAnswer: 5040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.298500759 - 2.413\nAnswer: -2.711500759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 16034248.\nAnswer: 32068496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 3*d + 104. Let t be l(-33). Suppose -2*b - 5*n = 8, 0 = 10*b - 7*b - t*n - 13. Let j = -18 + 28. Calculate the least common multiple of b and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 4*k + 188 = 0, d - 71 = 5*k - 8*k. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 32\/14 + (-8)\/28. Suppose -4*y = -b*s - 122, 4*s - 107 = -4*y + s. Suppose 0 = -4*p + 5*p - 30. Is p smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 6*r**2 - 6*r**2 + 9*r + 9 + r**2 - 2*r. Let b be g(-6). Determine j so that -3 + 2*j - 5*j + j**2 + 2 + b = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2189, 31449, -0.5 in descending order.\nAnswer: 31449, -0.5, -2189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 98.59 - 1.59. Let z = o + -97. Which is the closest to -0.22?  (a) -3  (b) z  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -4*s**2 + 166. What is j(14)?\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4863*c**5 + 246*c**2*k - 16437*c*k - 20*c wrt c.\nAnswer: -97260*c**3 + 492*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 61 + -307\/5. Which is the second smallest value?  (a) 3  (b) -0.01  (c) -4  (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3153431.19014 + -3153370. Let p = b + -61.2. What is p rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) -1  (c) -299\/8  (d) -5  (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43720 = -5*o + 5*z, -48*z + 39*z - 36 = 0. Does 23 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -6*(3\/(-9) - 5\/(-3)). Let p(a) = 3 - 3*a + 0*a - 8. List the prime factors of p(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13 - -15. Let q(x) = 8*x - x**2 + j*x**2 - x. Let y(c) = -c. Calculate 3*q(z) + 21*y(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(612) + -1)*3)**2.\nAnswer: -108*sqrt(17) + 5522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -101 - -216. Let o(p) = 26*p + 123. Let z be o(-16). Let t = z - -339. What is the greatest common factor of t and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 105627 + -24296. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*t**2 - 24 - 4*t - 25 + 50 + 9*t to the form k*t + b*t**2 + i and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1, -8861, -4 in increasing order.\nAnswer: -8861, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes after 6:06 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -12\/55 and -41\/1330.\nAnswer: 14630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -38*o + 7. Let u(p) = -19*p + 3. What is 3*m(g) - 7*u(g)?\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 198 and 1692?\nAnswer: 18612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (30\/(-21) + 1)\/(2\/(-14)). Suppose -2*f + 3 + 270 = -r*p, -3*f = -p - 399. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 232 and (-5)\/(20\/(-6))*(14 - -2).\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -9954*a + 59714. Determine p(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 84356022?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77153 is divided by 18473.\nAnswer: 3261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from vvvvkvvvvvqvvqqvkkv.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 5 = -y - 2*k, 5*y + 35 = 4*k. Let w be (2 - (3 + y)) + 13. What is the greatest common divisor of 6 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180) - (sqrt(180) + 1 - sqrt(180)))*-5 + 1 - 1*(sqrt(6480) + 0).\nAnswer: -66*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -615*u**2 - u. Let b(t) = -4*t. What is y(b(h))?\nAnswer: -9840*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**2 + z - 7. Let v be k(3). Suppose 30 = 5*c - v*i, 3*c - 8 = c + i. Solve -2*w - 5 = -h - c*h, 0 = -5*h + 4*w + 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/20*6\/15*(-2228)\/(-1671)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -51*v + 28*v + 43*v. Let j(c) = -2*c - 3. Let s(q) = 22 - 25 + 11*q + 20. Let x(n) = -34*j(n) - 6*s(n). Determine x(h(b)).\nAnswer: 40*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 13*i**3*p + 3827*i**3 - 14*i**2*p + 3*i**2 - 2*i*p + 38*p - 1 wrt p?\nAnswer: 13*i**3 - 14*i**2 - 2*i + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14840 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the third derivative of x**6\/120 - 11*x**5\/60 + 7*x**4\/8 + x**3\/6 + 31*x**2. Calculate the remainder when j(11) is divided by (46*-1 - 1)\/(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in 1, 0.1, 0, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**3 + 13*j**2 + 69*j - 18. Let p be g(17). Sort 6, p, 5, -3 in descending order.\nAnswer: 6, 5, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, v: 1, e: 2, w: 1}. Give prob of picking 1 v and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -0*z + 3. Let j(t) = 291675*t + 16985*t + 81341*t - 3. Let l be j(z). Round l to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (231551\/4 + -6)\/(2*-63871). Let i = -66\/2777 - m. Find the common denominator of i and 8\/7.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 42 - -42. Calculate the common denominator of 145\/18 and (3\/(-8))\/((-3)\/m).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes after 5:49 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is eight sevenths of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 + -4. What is the first derivative of t - 7*u + 7*u + 0*u - 2*u wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 156, 3, 2, 16, 1.\nAnswer: -4, 1, 2, 3, 16, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 75 = m. Let d = -53 + m. Let s = d - 18. Solve z + 5 = -s*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -104 + 134. Let d = -22 + i. Suppose 5*c = 5*w - 95, w - 4*w = -5*c - 57. What is the remainder when w is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 201134327 to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aby when three letters picked without replacement from {y: 2, o: 1, a: 1, b: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 10586 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -105911*(4\/(-1) - (-6 + 3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/77 and 16\/35.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 33*0.009\nAnswer: 0.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -28*k - 78. Give u(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18129692 is divided by 1648148.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-72))\/(62\/10602)*1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-16)\/328 - (-2454)\/(-123). Put p, -11, -4, 1 in descending order.\nAnswer: 1, -4, -11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3675 and 1948975?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*j - 1916 + 1916.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**2 + 2. Let j(o) = -3*o**2 - 5. Let d(l) = -5*a(l) - 2*j(l). Let u(k) = 8*k**2. Determine d(u(i)).\nAnswer: 64*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 2*f + 5908 = 0, -3*u + 53*f - 56*f = -8874. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 7*j - 19. Let v be m(4). Let h(k) = k**2 - 7*k - 13. Let b be h(9). Suppose -b*a + 25 = -20. What is the highest common factor of v and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(171))**2 + -3 + (sqrt(190)*2)\/sqrt(10) + sqrt(19) - (-3 + (-1 + sqrt(76)\/sqrt(4))**2 + 3)).\nAnswer: 5*sqrt(19) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-32)\/(-1064))\/(44\/(-154)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -58957*f**3 + 4*f**2 + 2150 wrt f?\nAnswer: -353742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**3 - 4*r**2 - 3*r - 2. Let c be p(5). Suppose 29 = 3*a + c. Solve -3 + a = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5.4 + 76.6. Let h = 82 - g. Which is the closest to -1?  (a) 5  (b) -0.1  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2016)\/(-294) + (-6)\/7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -487*i**3 - 3*i - 415.\nAnswer: -2922*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -6*y**2. Let a be r(-1). List the prime factors of (-2)\/6 - 68\/a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - -1) + (15 - 18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 2 = 5*z - 2*a, -7 = -4*z + 5*a. Let q = -138934 - -138922. Sort z, -2\/7, q, 0.5 in increasing order.\nAnswer: q, z, -2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11*b**3*t*y + 338*b**3*t + 5*b**3*y + 4*b**3 - 7*b**2*t*y - 2*b**2*y + 18029*t*y wrt b?\nAnswer: -66*t*y + 2028*t + 30*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x*x**(-5)))\/x)\/((x*x**(-5))\/x)*x**(-7)*x**1*x\/(x\/(x**(-2\/9)*x*x))*x\/(x**(1\/3)\/x*x)*x*x**1*x**5\/x assuming x is positive.\nAnswer: x**(103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/22999 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-8)\/(s**6\/s*s))\/((s\/(s*s**(-2\/17)*s))\/(s*s**0*s)) assuming s is positive.\nAnswer: s**(-189\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 3*h = -289, 5*k - 134 = -5*h + 161. Find the first derivative of -16*q**4 + 16 + k*q**4 - 19 - 30 wrt q.\nAnswer: 160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3 and 3018.\nAnswer: 3015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (41 - (-13980)\/(-340)) + 31\/119?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + -2 - (-18 - -1). Let w be ((-12)\/t)\/((-1)\/5). Suppose -450 = -19*c - 70. Calculate the greatest common factor of c and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5207 less than -5204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -106 - -73. Sort 2, -0.1, 5, p in increasing order.\nAnswer: p, -0.1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 23 - 7. Suppose o = -3*o + i. Let j = o + 3. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 - (-17 + -12 + 67 + -27)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in -13, 0.0052, -367, 1, -0.5?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*b - 80 = 74*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/2)\/(((-159)\/(-53))\/((-78)\/(-2))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 235996*1.6\nAnswer: 377593.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -0.2, 131, 3 in descending order.\nAnswer: 131, 3, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 1\/146?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*k + 34*k - 195 = -37*k. Let m be (2\/4)\/((-1)\/52). Let p = m + k. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -4, -3, -34026, -3.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -220943?\nAnswer: 4\/220943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 204 - 307. Let z = i + 104. Let r = 452 + -25309\/56. Is z less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 2 = -3*v - 6, -2*v + z = 2. Suppose 0*d - 4*d - 20 = v. Let n(j) = -9*j + 4. What is the tens digit of n(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5*p*r**2 - 101402*p*r - 5372057*p wrt r?\nAnswer: -10*p*r - 101402*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -7\/451 greater than or equal to 13296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -16 in 0.4, -0.158, -5, 4\/7, 0.26, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**3 - 9*x**2 - 2*x - 13. Let c be d(-9). Let t = 1.1 - 0.7. What is the third biggest value in t, c, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 + 5*l**2 + 5*l. Let o be n(-4). Is 838*(5\/20)\/(o\/(-8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 7*z**3 - 3*z**2 - 26*z + 42. Is m(6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2867643 divided by 3.\nAnswer: -955881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5856*d**3 - 2*d**2 - 3255 + 5554*d**3 + 3255.\nAnswer: -302*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 b when three letters picked without replacement from {p: 1, c: 1, j: 4, n: 1, b: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*q**2*y - 39*q**2 - 852*q*y**2 - 2*q - 60347*y**2 + 9*y - 1 with respect to q.\nAnswer: 4*q*y - 78*q - 852*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqnerqqeaanaqnqaqnnn. Give prob of sequence qeqq.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 18565457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 8, e: 3}. Give prob of sequence eei.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 5781 = -i, 8*y - 11553 = 12*y - i. Which is bigger: y or -2888?\nAnswer: -2888","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Express (-87 - 18 - 16)*(1 - 4*o - 3*o + 5*o)*(2 - 1 + 0) as z + c*o and give c.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -6*u + 0*u + 2*u**2 - u**2. Give f(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 - 14*w + 15. Give n(-12).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand h**4 + h**4 - 6*h**4 + h**4 - 77 - 20*h + 77 - 3*h**4 + h**4 + 3*h**4 + (0*h**3 + h**3 - 2*h**3)*(h + h - 4*h) + 2*h**4 + 2*h**4 - 2*h**4.\nAnswer: 2*h**4 - 20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 6715.9097*-0.3\nAnswer: -2014.77291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 101533628, 101533627, 101533626?\n\"Answer: -l + 101533629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 - -1. Suppose 0*i - 5*i = 4*l - 411, 0 = -3*l - m*i + 312. Suppose -f = 2*f - 33. What is the greatest common factor of f and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9 and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 674280 is divided by 644.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4216 - 2609705\/619. Let j = 621\/1238 + h. Factor 3\/2 + j*b**4 - b + b**3 - 2*b**2.\nAnswer: (b - 1)**2*(b + 1)*(b + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/6*6\/4\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 + -21. Let i be ((-229)\/(-5))\/((-16)\/y). Let k = i + -57. What is the nearest to 1\/2 in 0.1, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2065545*g**3 - g**2 - 30062380 wrt g.\nAnswer: 6196635*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 14*l + 11. Let u(c) = -70*c - 57. Determine 11*m(a) + 2*u(a).\nAnswer: 14*a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -221121 - 1122?\nAnswer: -222303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5774 is divided by 1924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3743081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**3 - 8*t**2 - 2*t - 29. Suppose 0*d - 4*b = -2*d - 8, -45 = 3*d + 5*b. Is r(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = 83*v - 88*v. Solve -5*u - 1 + v = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 75109.92t?\nAnswer: 75109920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = x - 9, -3*h = -3*x + 7*x + 3. Suppose 0 = h*k + 4*q + 17 + 29, -5*k - 130 = -4*q. Let y = 37 + k. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -116.6246 - 858.6734. Let m = 973 + x. Round m to 1 decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes before 11:33 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*x**4 + 16*x**4 + 2*x - 2*x**3 + 1 + 0 as v*x**2 + n + c*x**3 + k*x**4 + b*x and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 36 and 1887642.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -25.44 - 2.16. Round x to 0 decimal places.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -106 and -875724145?\nAnswer: 875724039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + -3464315?\nAnswer: -3464323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 128 + -535. Let s = v + 406.99999941. What is s rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 5*b - 488 - 42 = 0, -2*b + 2765 = 5*i. List the prime factors of i.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 105865 divided by -14\nAnswer: -105865\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -6 - ((1 - 5 - 3) + -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + 2. Suppose r = -z - 11 + 41. Suppose -l = -3*u - 3, 2*u + 2*u - 76 = -4*l. Calculate the greatest common factor of z and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = j - 0*d - 21, 0 = 2*j + 4*d + 6. Let k(o) = -o**2 - o + 4. Let a be k(0). Let z = j + a. Calculate the highest common factor of 63 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -29 times 73927\nAnswer: -2143883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -g - 10. Let n be 3*g*(-1)\/(-1). Let h = -3 - n. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -33522, -33529, -33536, -33543, -33550, -33557?\n\"Answer: -7*w - 33515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14641, 14497, 14351, 14203, 14053?\nAnswer: 13901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 116*w**2 - 910*w + 5512. Let d(b) = -249*b**2 + 1821*b - 11022. Let h(r) = 7*d(r) + 15*u(r). Solve h(m) = 0 for m.\nAnswer: -307, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*r**3 + 2 - 10*r**3 - 2.\nAnswer: -52*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12720*h**3*v + 2*h**3 - 3*h**2*v + h**2 + 3*h*v - 58654*v wrt h?\nAnswer: -76320*h*v + 12*h - 6*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*r**4 - r**4 - 13 - r**4 wrt r?\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -475 + -21634?\nAnswer: -22220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:42 PM and 7:48 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1201 + 101022020?\nAnswer: 101020112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -15314*k**3 - k + 271*k**2 + 15313*k**3 + 7 + 2 as s*k**2 + d + l*k**3 + r*k and give s.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101011100000110010101 - 101000110?\nAnswer: 101011100000001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -32*h**2 + 5*h - 5. Let w be -1*(-14)\/(-35)*-5. Let n be y(w). Is -124 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -10*j**2 + j + 2. Let n be k(-1). Is (-36)\/n - (-80 + -5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 - 24*q**2 - 24*q - 7. Let g be m(-23). Suppose -4*o = 8 - g. Let x be (-1)\/o + 189\/(-42). Which is the closest to 1?  (a) x  (b) -0.5  (c) 0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g + 2*g**2 - g**2 + 2*g**2 + 2*g. Give l(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1042 - -12?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, -19, -28, 10 in increasing order.\nAnswer: -28, -19, -15, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -44, 0, -6\/11, -5, 1\/7, -0.05.\nAnswer: -44, -5, -6\/11, -0.05, 0, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m - 4*q + 60, -q = 3*m - 46 - 19. Suppose -7*g - m = -12*g. Suppose 4*v - 8 = 2*s + 3*s, g*s - v = -2. Which is smaller: s or 0.6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 38 and 18658?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12031573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nwnwnnnnnwnn.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/2  (b) 329.6  (c) -1  (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*w - 15*w + 12 = 2*z, -4*z = -5*w - 24. Sort -1, z, 9 in descending order.\nAnswer: 9, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1011 (base 2) in base 14?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -106*s**5 + 309*s**2 wrt s.\nAnswer: -6360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 280 and 595.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -497064.345 + 745002.994. Let f = x + -247857.6489815. Let o = f - 81. Round o to 6 decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -418a71 (base 14) to base 12.\nAnswer: -8a910b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 224*u + 2639. Determine y(-7).\nAnswer: 1071","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*c**3 - 6*c**3 + 2*c**3 + (c - 2*c**2 - c)*(-2*c - 3 + 3) + 140*c**3 - 139*c**3 - 3 + 18.\nAnswer: 4*c**3 + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 1 = -4*y, 4*q - 2 = -4*y - 30. Let g(a) = -a + 3. Let x(d) = 3 + d + d - 3*d. Determine y*g(j) + 3*x(j).\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6*r**2*u*x**3 + 18*r**2*x + u*x**3 - 75*u wrt r?\nAnswer: -12*r*u*x**3 + 36*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*d**2 + d**2 - 7 + 26 + (0*d + 5*d + d)*(2*d - 2*d - 2*d).\nAnswer: -11*d**2 + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6375 and 995511?\nAnswer: 2115460875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g**(3\/5)\/g))**45*(g**(6\/13)*g)\/g**(-1\/6))**5 assuming g is positive.\nAnswer: g**(25205\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -22.3411 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -23021342 (base 5) in base 16?\nAnswer: -31f35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -331686780 divided by -1073420?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 185*p**4 + 182*p wrt p?\nAnswer: 2220*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3655044 and 2088?\nAnswer: 7310088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1626822 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) 29  (c) -6\/11  (d) -14\/5  (e) -5  (f) 65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 9*q**3 + q**2. Let a = 258 + -382. Let w = 123 + a. Calculate o(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.29 * 0.1\nAnswer: 0.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + g = -28. Calculate the smallest common multiple of g and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*d**3 - d**3 + 2*d**3)*(-31 + 31 - 33) as m*d**2 + q*d + o*d**3 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -88079 - -388079. Suppose 0 = k + k + r. What is k rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 3*u**2 + 3*u - 1. Let g be o(3). Suppose -5*t + g = 5*x, -2 = -t - 1. Suppose 14 = -2*f - s + 3, -3*f = -2*s + x. Are -3 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ullu when four letters picked without replacement from {j: 5, u: 5, a: 2, l: 3, d: 4}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 4*b + 111. Let s be i(-14). Let a be (-2)\/(-3)*(-39)\/(-2). Let x = a - 8. What is the highest common divisor of s and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7\/(-12)*112\/392. Sort g, -5, -2\/3.\nAnswer: -5, -2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7\/2 in -9\/2, 0.3, 14\/19, 2, 0.25?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -62\/5, -15\/421, 0.3 in increasing order.\nAnswer: -62\/5, -15\/421, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 4) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 1629 divide 6990801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(26) - (sqrt(234)*-5 + sqrt(26)))\/sqrt(2) + -3*(3 + sqrt(13))*-3.\nAnswer: 27 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*h + 20 + 8*h - 3*h.\nAnswer: -2*h + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 13?  (a) 81  (b) -0.5  (c) -1  (d) -4\/9  (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 236396419?\nAnswer: 7, 503, 67139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - 4. Let q = 2 - m. Solve 3*d - q*d - 2 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 578205 (base 11) in base 9?\nAnswer: 1650117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1)\/(-3))\/((-4)\/(-72)). Let x(t) = -7*t**3 + 7*t. Let n(u) = u. Let o(w) = m*n(w) - x(w). What is the second derivative of o(r) wrt r?\nAnswer: 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 55625 + -30462. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -820 and -4.53922?\nAnswer: 3722.1604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**2 - 6*k + 10. Suppose 3*d + 35 = 4*x, -x - 5*d - 1 = 19. Let p be r(x). Let a(c) = 96*c + 22. Is a(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 174134920 to the nearest 1000000.\nAnswer: 174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10010502 (base 6) to base 16.\nAnswer: -44b46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*d**2 - 57*d**2 + 23*d**2 + 18*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/5 <= 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2110647?\nAnswer: 3, 7, 11, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7054528*c**2*t*y**2 + c*t*y**2 - 5*c*y**2 + 22*t*y - 3*y**2 - 8*y wrt c?\nAnswer: -14109056*t*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -30632031 + 30631843.000072. Let j = l + 188. Round j to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -7*l - 1. Let a be f(-1). Suppose 18 - a = 4*k. Solve 0 = -k*v + v - 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 2 = -6. Solve -13 = -4*c + i*n + 19, -5 = -5*c - 2*n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6060293, 6060294, 6060295, 6060296?\nAnswer: 6060297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 7*i - 7. Let j be x(5). Let a be (4\/6)\/((-4)\/(-234)). Let b = a - j. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*s + 3*s - 49*s**2 - s.\nAnswer: -49*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1958.7 times 2?\nAnswer: -3917.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (4*(sqrt(19) + 2 + 0 + sqrt(95)\/(sqrt(5)*1) - ((sqrt(931) - sqrt(931)*-1) + 2 + (sqrt(931) + 1 + sqrt(931))*1)))**2.\nAnswer: 832*sqrt(19) + 205517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -104, -1113\/355, 3?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*m**3 - 3*m**3 + m**3 - 8603 + 603*m**4 + 7887*m**4 wrt m.\nAnswer: 33960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*m + 165 = 27*m - 279 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -14a - -3?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 18\/(-66) + ((-324)\/616)\/(-9). What is the third biggest value in 4, -0.3, -5, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -358824, -717640, -1076450, -1435254, -1794052, -2152844, -2511630?\n\"Answer: 3*r**2 - 358825*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2110*v + 2110*v + 102*v**3)*(0 - 2*v + 0)*(-2 + 2 + 1).\nAnswer: -204*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 5*v = -8, v + 27059 = 2*n + 27052 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1487662121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -23 + 1 + 11 + 0 + (-12 - -7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the third derivative of j**6\/120 + 2*j**5\/15 + j**4\/24 + 2*j**3\/3 + 8*j**2. Let q be u(-6). Let c be (-9)\/(-5)*q\/21. Sort 0, -2, c.\nAnswer: -2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 25621083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -192*j = -189*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 150946825.\nAnswer: 5, 17, 173, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 404971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -337, 5, -15394 in descending order.\nAnswer: 5, -337, -15394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6 and 62518.\nAnswer: 187554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of x**8\/504 + x**7\/105 - x**6\/180 - x**5\/30 - 2*x**2. Suppose v(d) = 0. Calculate d.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gvwv when four letters picked without replacement from {x: 2, v: 2, g: 1, w: 1, q: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/3 - (0 + 1). Suppose 19 = 4*w - 5. Put -0.5, w, j in increasing order.\nAnswer: j, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 581953324*o**5 - 738449228*o.\nAnswer: 11639066480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-297)\/55)\/27 - 5\/225?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 822 and 3.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7.2252 + 8.351. Are 0.2 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 33.3, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 308924.5ml to litres.\nAnswer: 308.9245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -45 + 97. Suppose 5*m - 96 = -f, -3*m + 3*f + l = 5*f. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*x**4 - x**4 - x**4 + (6*x + 6*x - 3*x)*(121*x**3 - 27557 + 27557) + 2*x**4 - x**4 - 3*x**4.\nAnswer: 1089*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 10645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 3*z = -20, -5*o - 7 - 23 = 5*z. Let h be o\/(11\/12 + -1). Determine t so that h + 2*t + 2*t**3 - 8*t**2 + 18 - 18 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -312142 times 588?\nAnswer: -183539496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/14)\/(6\/(204\/(-85)))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 4*q**2 - 2*q + 4. Let y be (-6)\/1 + 15\/5. Let w(r) = -2*r**2 + r - 2. Suppose -2*z + 4*d - 10 = 0, -d = -0*d. What is y*f(t) + z*w(t)?\nAnswer: -2*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times -4377\nAnswer: -1313.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -77125, -154254, -231383, -308512, -385641?\nAnswer: -462770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1cc0 (base 16) to base 5\nAnswer: -213420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 + 16*s - 11. What is d(-16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.3, 0.7, 18, -15?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 62603 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m + 37938 = -24*m + 33*m. List the prime factors of m.\nAnswer: 2, 3, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35961.09 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31663 is divided by 10537.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -28665\/4 at least as big as -7167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*t + 19*t - 20. Solve 2*o - 2*r + 4 = -0, 3*r = -t*o + 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 36053 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 0*g - 24 = -4*f, 0 = -3*f + 2*g + 25. Let q = -392 + 397. Calculate the remainder when f is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 5, r: 4, a: 2, c: 4}. Give prob of sequence cc.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p = 5*v - 221 + 241, -5*v = 2*p + 32 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4\/8)\/(3\/(-504)). Let i = o - -89. Factor 3*c**4 + 6*c**2 - i*c**4 + 4*c**5 - 6*c**2.\nAnswer: 2*c**4*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203555 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2*3\/24 + 234\/(-120). Does -1 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d + 3*r - 32 = 0, -16 = 5*d + 19*r - 28*r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 49, 3\/2, 2, 117, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 27831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14 + 70. Let c = -29 + m. Let g = 3.7 - 0.7. Sort g, -2\/7, c in increasing order.\nAnswer: -2\/7, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 7, 1, -5, -11, -17?\n\"Answer: -6*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 3, q: 7, w: 4}. What is prob of picking 3 r and 1 w?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in -14, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + 18. Calculate the lowest common multiple of m and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*v**3 - 8 - 5*v**3 + 2 + 15 + 10 as b*v**2 + w + j*v + m*v**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the first derivative of -o**4\/24 + 7*o**3\/6 - o**2\/2 - 5. Let b(n) be the second derivative of r(n). Calculate b(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -185847 by 61949.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 78126932 and 339612?\nAnswer: 1640665572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 4*t**2 - 3*t - 7. Let u(y) = -4*y**2 + 4*y + 8. Let c(g) = -5*u(g) - 6*w(g). Let j(z) = -5*z**2 - 2*z + 2. Give 6*c(m) - 5*j(m).\nAnswer: m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 181 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*d - 17*d + 0*d**2 - 4*d**3 - 2 - 1 + 6*d**3 - 2*d**2 wrt d.\nAnswer: 12*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13522 - 12894. Is 71 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**2)**(2\/133))**(-42) assuming j is positive.\nAnswer: j**(-24\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/8 + 0)\/(40\/(-800)). Let h(d) be the third derivative of -7\/600*d**6 + 0 + 4\/75*d**b + 0*d + 3*d**2 - 11\/120*d**4 + 1\/15*d**3. Factor h(t).\nAnswer: -(t - 1)**2*(7*t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 - -8. Which is smaller: y or 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/2, -2\/5, -0.1, 9\/5, 3\/43 in decreasing order.\nAnswer: 9\/5, 3\/2, 3\/43, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -25880 - -25881. Let m(p) = 1. Let l(w) = -w - 7. Calculate v*l(y) - 5*m(y).\nAnswer: -y - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**20)**(-6\/11)*(j**(2\/33)*j)\/(j*j**(3\/8)))**(-12) assuming j is positive.\nAnswer: j**(2963\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.042 - 2.962. Let t = l - 0.08. What is the closest to 0 in t, 0.2, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1608 * 97.\nAnswer: -15.5976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -489 - -484. Which is the fourth smallest value?  (a) q  (b) 3  (c) -98  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + -2.1. Suppose 2 = 4*s - 14. Which is the closest to 0?  (a) 2\/9  (b) s  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 1 = -p + 3, 41 = 4*p + y. Let x = 15 - p. Solve 0 = -0*m - x*m - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-28 - -9 - (106 - 151)) + -142?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 0 = 5. Let p = 3 + l. Let c = 11 - -8. What is the remainder when c is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 15) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -123, -249, -453, -801, -1359, -2193?\n\"Answer: -11*q**3 + 27*q**2 - 130*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -f + 5, -19 = 5*h + 5*f - 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -1182*h. Let i(o) = 5*o**2 + 15*o**2 - 54*o**2 + 14*o**2 + 17*o**2. Calculate i(b(f)).\nAnswer: -4191372*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**3 - 48*s**2 + 440*s + 153. Give k(15).\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - (5 - 5) - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10731910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -25357 + 25361. Let g(k) = -k**2 + 8*k - 9. Let b(u) = -u**2 + 7*u - 8. Let v(x) = 4*b(x) - 3*g(x). Calculate v(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 31162 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 995, 998, 1003, 1010, 1019?\nAnswer: 1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9399 and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 154807?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*d, -2*h - 2 = d - 3*d. Suppose 4*y + 10*w = 7*w + 7067, -5*w = y - 1788. Suppose -3*p - 4*s = -3*s - y, 0 = -p - h*s + 595. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.09545 * -1\nAnswer: 0.09545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.37 and 1394706.\nAnswer: -516041.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 470\/90 + (-2)\/9. Let j(t) = -t**3 + 2*t**2 + 3*t - 5. Let m be j(3). Which is the biggest value?  (a) d  (b) m  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -132.17905*3.\nAnswer: -396.53715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.021 less than -112243233?\nAnswer: -112243233.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3953029?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83795080 is divided by 577897.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 279 is divided by 37.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 5*z**3 + 2*z**2 - 38*z + 30. Determine s(4).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -3 - 0 - (-160 - (77 + -258)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -27\/4 in 0.4, -3\/10, -0.032, 1?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 128 times 1.28\nAnswer: 163.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1015786602 divided by -27.\nAnswer: -37621726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 2081730?\nAnswer: 2081730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 701 and -0.546?\nAnswer: 701.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.028*-1.24\nAnswer: 0.03472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 - 52005?\nAnswer: -52000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1608, 1847, 2256, 2841, 3608, 4563, 5712, 7061?\n\"Answer: p**3 + 79*p**2 - 5*p + 1533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -20745*m - 394144. What is f(-19)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3598, -3604, -3610, -3616?\nAnswer: -3622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 800 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1, -0.08, 4, -1.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -30  (b) -3\/4  (c) -5  (d) -1  (e) 0.029\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 469122\/(-9)*33\/(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 7 = -2*h - 2*r, -17*h + 192 = r + 111 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 4*x - 4. Let v(i) = -5*i + 5. Let p(n) = 4*l(n) + 3*v(n). Give p(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 977401433.\nAnswer: 12911, 75703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 239 + 8. Let k(b) = -2*b**2 - b**2 + m - 247. Let v(l) = 32*l. Determine k(v(z)).\nAnswer: -3072*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -563\/4, 2, 0.1, -1\/3.\nAnswer: -563\/4, -1\/3, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -141 = -4*l - 37. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 21 - 12. What is the units digit of (24\/c)\/((-6)\/(-81))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4\/19 - 14\/19*m + 10\/19*m**2 + 8\/19*m**3 = 0.\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**3 - 90*g**2 + 200*g.\nAnswer: -5*g*(g - 2)*(g + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 k, and 1 a when three letters picked without replacement from mkamekeea?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 60.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 20 = 0, 4*h + 0 = -2*r - 8. Solve -3*a = a - r*t + 32, 0 = 5*t - 25 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (224\/(-14))\/32*-1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2078 is divided by 276.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s - 4. Suppose 0 = 57*t - 62*t + 10. Suppose -4 = -t*q, q - 2 = 5*d - 15. Let p(k) = -k + 1. Give d*p(x) + r(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 32*h - 33*h + 13. Do -0.19 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -280 - 834 - 2*m + 191 + 8.\nAnswer: -2*m - 915","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6889 is divided by 266.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -10705 + 3*x + 10702 + 38*x**2 - 4*x. What are the prime factors of p(2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -10129, -10155, -9979, -9421, -8301, -6439, -3655, 231?\n\"Answer: 30*n**3 - 79*n**2 + n - 10081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 - 8 = -16*g. Solve 0 = -4*a + g*a + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**3 - 5*s**2 + 3*s - 7. Let p be d(-6). Let j be (-2)\/(8\/(-6))*(-5478)\/(-249). Calculate the greatest common divisor of p and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes before 7:08 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1075*k**4 - 539*k**4 + 77*k**2 - 538*k**4)*(k + 7*k + k).\nAnswer: -18*k**5 + 693*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -6 - (-3 - -6957208 - -1). Let x = w - -15157212. What is x rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 354 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 150 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -s**2 - s + s + 1 + (1 + 1 + 0)*(-3*s**2 - 2*s**2 + 3*s**2) + (s - s + 2*s**2)*(-1 - 5 + 4).\nAnswer: -9*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 148385621 to the nearest integer?\nAnswer: 12181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 take away -160320712?\nAnswer: 160320712.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*d**2*s**3 - 210*d**2*s - d*s**4 - 5*d*s**2 wrt s?\nAnswer: -24*d**2*s - 12*d*s**2 - 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1501429552?\nAnswer: 2, 7, 19, 705559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 465726865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11?  (a) 0.4  (b) -41  (c) -5  (d) -5\/2  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 92573.3 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -2*u**2 + 4*u - 6. Let m(q) = q**2 - q + 1. Let z(g) = 5*m(g) + w(g). What is z(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -2148421, 0.2 in descending order.\nAnswer: 0.2, -2, -2148421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -1008*s + 1006*s + 2*c, 21*c - 24*c = 30 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10313 + 150150?\nAnswer: 200503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 3*y**4 - 10*y**3 - 10*y**2 + 3*y. Let p(k) = -2*k**4 + 7*k**3 + 7*k**2 - 2*k. Suppose -4*s + 9*s + 25 = 0. Let f(j) = s*n(j) - 7*p(j). Factor f(b).\nAnswer: -b*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -66, -23, 22, 69?\n\"Answer: u**2 + 40*u - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2247241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6801538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 469915337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -407353 * -5\nAnswer: 2036765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -240 divided by -20.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -59 + 60. Suppose -5*b + 6*b + 32 = 0. Let w = -17 - b. Are z and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -60 - 2*z - 72 - 62*z**4 + 137 + 51*z**4 + z**2 in the form x + a*z + w*z**2 + t*z**3 + c*z**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - c = 0, -6*c = -2*l - c + 7. Let o(b) = 7*b - 1. What is the remainder when 11 is divided by o(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from {a: 1, h: 1, k: 1, f: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.2264838 to 4 dps.\nAnswer: -0.2265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 4038 = c. Let l = c - 36355\/18. Calculate the common denominator of l and -21\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4.5 + 1.5. Let h = 3.3 - a. Let x = h - -2.7161. What is x rounded to 3 decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b = -b - 9770. Let r(l) = l + 11. Let m be r(-3). Suppose -m*t + 6*t = -b. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/174 and 37\/3186.\nAnswer: 92394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 4 + (-2*((sqrt(117) - (-1 + sqrt(117) - sqrt(117))) + -1))**2.\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 770*g**3 - 2*g**2 + 413*g**3 + 286 - 284.\nAnswer: 1183*g**3 - 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/(144\/(-99))*6\/(-1089)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 58177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-1\/3))**(-10)\/(z**(-10)\/z*z*(z*z**(-15))\/z*z*z) assuming z is positive.\nAnswer: z**(79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, h: 10, g: 3, k: 4}. Give prob of sequence gt.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eighty-one quarters of a year?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0029302 rounded to 4 dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3 + ((-20282)\/2 - -2). Let c = -101451\/10 - l. Find the common denominator of 17\/6 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 409650 is divided by 181.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13584, -5, -48, -2 in decreasing order.\nAnswer: 13584, -2, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0052048 rounded to 5 dps?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/((-2*(-2)\/(-8))\/((-264)\/(-176))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 7*w - 4. Let v(l) = -818*l. Determine v(p(m)).\nAnswer: -5726*m + 3272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3735 and 581.\nAnswer: 26145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 2943 = -3*v, -2*d + 2*v = -v - 5904. Is d a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**3 - g. Give d(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -128*u**3 - 3*u**2 - 3*u. Let p(s) = -61439*s**3 - 1441*s**2 - 1441*s. What is 2882*o(d) - 6*p(d)?\nAnswer: -262*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.47 - 0.4782. What is v rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -121 + 119?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 2*l. Let d(j) be the third derivative of -j**6\/36 + 5*j**3\/3 - j**2 + 19. Let b(q) be the first derivative of d(q). Calculate i(b(p)).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 108815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the second derivative of z**5\/20 + z**4 + 5*z**3\/3 - z. Suppose -2*j = 2*j + 44. Does 7 divide f(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, q: 7, b: 3}. Give prob of picking 2 b and 1 g.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 24*u**3 + 3*u**2 - 12*u - 340. Let w(t) = 47*t**3 + 7*t**2 - 28*t - 679. Let x(s) = -3*w(s) + 7*y(s). Differentiate x(h) with respect to h.\nAnswer: 81*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*t**2\/2 - t\/6 = 0. What is t?\nAnswer: -1\/195, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 2. Let m = -346 + 36328\/105. Let v = m - -113\/420. Which is smaller: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -218633*u**2. Let n(z) = -2*z. Determine i(n(q)).\nAnswer: -874532*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**2 - 16*b + 9. Let z(f) = 2*f**2 - 31*f + 18. Let x(n) = 11*k(n) - 6*z(n). Let r be x(9). Solve -8 = -r*w - 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8 (base 12) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 6*y - 6. Suppose -4*k - y = -14. Suppose 2*c = -2*l + 27 - 7, 0 = 4*l + 5*c - 40. Solve -2 = -k*z + l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**2 - 1563*x + 46944.\nAnswer: 3*(x - 489)*(x - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6437689.\nAnswer: 6437689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 + k**2 + 3*k + 9. Let q be a(0). Suppose -5*b = -6*u + q*u - 272, -2*b - 109 = -u. What is u rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 331.1 - 354. Let z = f + 23. Sort 4, -0.4, z.\nAnswer: -0.4, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 PM and 6:02 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeeyeyeeeeeeheeey. What is prob of sequence ee?\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10036*d + 10056*d - 460. Let b = 147 + 14. Calculate the highest common factor of d and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 29*c**3 + c**2 - c. Let o(t) = -t**3 + 5*t**2 + 6*t + 5. Let d be o(6). Let z be (d + 1)*1\/6. Let g be b(z). Round g to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 - 20) + 18 - 6 - (0 + 16).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 3888, 13122, 28510, 50052, 77748, 111598?\n\"Answer: 3077*z**2 + 3*z + 808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 682959?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/27 + (-14)\/18. Suppose -3*u = -r - 37, r - 2*r - 5*u = 5. Let o be (r\/(-10))\/(1\/2). Put o, 0.5, c in decreasing order.\nAnswer: o, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - 0. Suppose -l*v + 9*v = 0. Solve -2*o + 6 = -v*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mprpmprprhrhp. Give prob of sequence phr.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19 - 17. Is 2 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 + (1 - 2))\/2. Suppose -2*h + 3*n + 35 = m, 5*h - 26 = -5*n + 124. What is the greatest common factor of 175 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1507a82 + -7?\nAnswer: -1507a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the third derivative of 0*v - 31*v**2 - 1\/6*v**3 + 0. Let w(a) = -2*a**2 + 3. Let f(z) = -3*o(z) - w(z). Let i(k) = -20*k. Give f(i(j)).\nAnswer: 800*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1207 is divided by 47.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 5*f + 2*f - 6 - 3*f - f. Suppose 0 = 6*d - 3*d - 3. Let c(i) = -1. Determine d*a(m) - 6*c(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (354\/1121)\/((-483)\/(-399))?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -795 by 3.\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/32  (b) -0.5  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5675.214202 and 1684?\nAnswer: 7359.214202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zoooc. Give prob of picking 1 z and 1 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 - 172.315756.\nAnswer: -172.115756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -5*(((sqrt(304) - -1*sqrt(304))*6 - (-3 + sqrt(304)*-1))**2 + -4).\nAnswer: -256902 - 1560*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3372578*y**4 - 2273920*y wrt y.\nAnswer: 40470936*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 355 is divided by 89.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (7 - 3)*21\/12. Let m = 10 - f. Let r(v) = v - 1. Let o(g) = -2*g - 1. Let n(t) = -o(t) - r(t). What is n(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 57\/95525 and 43\/15.\nAnswer: 286575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1311*p + 467*p - 36186 = -126864 for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 0*j + 72 = 0. Calculate the least common multiple of (j\/45)\/((-2)\/30) and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13416\/741 + -18 - (-690)\/(-57)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 377980746?\nAnswer: 2, 3, 11, 13, 440537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136)\/(sqrt(48)\/sqrt(6)))**2*6.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the first derivative of -f**5\/120 - f**4\/24 - f**2 + 1. Let k(g) be the second derivative of r(g). Factor k(t).\nAnswer: -t*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3248 and 14488138?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1356.18?  (a) 2  (b) 0.5  (c) 1.3  (d) 0.02  (e) -0.4  (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 4*g - 2*g = 0. Let n(h) be the third derivative of 1\/60*h**5 + 0*h + 0*h**3 - h**2 + g + 0*h**4. Let r(l) = l. Calculate r(n(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 144534 or 144536?\nAnswer: 144536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**3 + 2*a**2 - 4*a - 4. Let j be l(-2). Let s(o) be the second derivative of 0 + 3*o + 1\/3*o**3 + 2*o**2 - 1\/2*o**j - 1\/20*o**5. What is s(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -135623364 divided by 6?\nAnswer: -22603894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*d = 38*d + 15. Let i(k) = k**3 - 3*k**2 - k. Let a(o) = o**3 + o**2. Give d*a(y) - i(y).\nAnswer: -4*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -4*h**2 - 5. Let k(r) = 41*r + 61. Let m be k(2). Suppose 0 = -5*t + m - 138. Let p(c) = c**2 - c + 1. Give t*f(w) + 5*p(w).\nAnswer: w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 - 3. Let m = 85 + -87. Which is smaller: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -230, -4, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 260694212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -2*j**4\/15 - 4*j**3\/3 + 26*j**2\/15 + 44*j\/15 = 0?\nAnswer: -11, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/7 + -1*(-2 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/2, -2\/259, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*x**2 - 53*x**2 - 10 + 6 + 10*x + 2 in the form k*x + i*x**2 + n and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1622820021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-six fifths of a kilogram in grams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b36883 (base 16) to base 12.\nAnswer: -3b30283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (611\/(-52))\/(-47)*24\/(-93).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lpzlzp. What is prob of sequence pp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1601*w - 16066 = 1047*w for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000814856108 to 7 decimal places.\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v**2 + 15*v**2 - 16*v**2 + 11 + 6*v**2.\nAnswer: 8*v**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -i - 310*i**3 + i - 318*i**3 + 626*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.2 - -0.3. Let n = 22 - 19. Let j = -3240 - -3235. What is the closest to -0.1 in n, u, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 15.02 to 0 decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 28 = -x + 4*y, 5*x + 2*y - 35 = 0. Let c = -5 + x. Is c\/((-6)\/(-27) + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 4*z - 4*f - 75, -z = -4*f. Suppose -s - 3*s = -z. Solve s = 2*d - 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 21161 - 21161. Let k(l) = 3 - 4 - 6*l - 1 + 4*l. Let t be k(-3). Solve -2*o + 0*o + z = 3, -t*z + 12 = m for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert a5 (base 16) to base 2.\nAnswer: 10100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(78) - sqrt(78)*-1*3)\/(1*sqrt(294)).\nAnswer: 4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(100)\/(sqrt(120)\/sqrt(3)))\/(-1*((sqrt(5) - sqrt(180))*-3 + sqrt(5))).\nAnswer: -3*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 - 6*o**2 + 2*o - 6. Let k(m) = 4*m**3 - 2*m**2 + 6*m - 2. Let r be k(1). Let a be n(r). Let s(j) = -4 - 2 + 2*j - 2. What is s(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 281*m = 462*m - 724. Solve m*f - 2*j + 2 = -7*j, 2*j + 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-1\/5))**12*(p**(-1\/2))**(24\/11) assuming p is positive.\nAnswer: p**(-192\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1036 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 277 - 82. What is the smallest common multiple of c and 273?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (10\/(-3))\/((-3)\/(-36)). Suppose j - 6 = -4*i + 3, -5*j = i - 7. List the prime factors of (-5050)\/d + j\/(-4).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -212, -424, -642, -872, -1120, -1392, -1694, -2032?\n\"Answer: -i**3 + 3*i**2 - 214*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8813813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29377?\nAnswer: 29, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 49 and 441?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/251?  (a) 0  (b) -3.4  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 1 s when three letters picked without replacement from {s: 5, d: 5, q: 4, r: 1}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -151.1 + 162. Let a = -6.9 + u. What is the second smallest value in -6, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 9\/3 - (2 + -3). Let b(o) be the first derivative of -4*o**3\/3 + 5*o**2 - 10*o - 6. Let u(j) = -j**2 + 3*j - 3. What is m*b(p) - 14*u(p)?\nAnswer: -2*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - 30 = -4*t, 11100*w + 12 = 11104*w for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.47 + -0.5. Let n = c - 0.37. Let g = -0.5 - 0. What is the closest to -1\/3 in n, 1, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**2 - 4*z + 2. Suppose 0 = 2*f + 6, 7*f - 2*f + 24 = 3*o. Give a(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -15485787*p**2*u**2 - 2*p**2*u + 165846168*p**2 with respect to u.\nAnswer: -30971574*p**2*u - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes before 12:08 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-6)*(-378)\/(-252).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 6  (b) 2\/9  (c) 1\/10  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 19*l - 50*l + 13*l)*(-1 + 2 - 3) in the form z*l + s and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -7*h + 2*a, -17*h - 5*a = 2*h - 7*a - 39 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(3\/4))**(2\/35)\/(u**8\/((u**8*u)\/u)) assuming u is positive.\nAnswer: u**(3\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 182969175 and 0.02726935?\nAnswer: 182969174.97273065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-124)\/(-1023)*(-9)\/30.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*k**2 + 186*k**3 - 2 + 39*k**2 - 93*k**3 - 97*k**3 - k to the form n + r*k**2 + z*k + g*k**3 and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-17)\/((184\/48)\/(-23))?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(2\/5)*a\/(a**(-3\/8)\/a))**(-2\/27))**(10\/11) assuming a is positive.\nAnswer: a**(-37\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/(-2))\/(-2)*68\/(-17). Suppose -t + 3*p - 16 = 0, a*t - 4 = -2*t - 5*p. Put -1, t, -11, 4 in decreasing order.\nAnswer: 4, -1, t, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -2*p**2 + 180*p + 955. Give o(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 - 11. Let c(x) = -2*x**2 + 6*x - 1. Let r be c(g). Let o = -38 - r. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.039 + 96.039. Let l = i - 100.1. What is l rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**3 + 21*a**2 - a - 1. Let l(t) = -7*t**3 - 44*t**2 - 2647*t + 6. Let o(j) = -l(j) - 6*y(j). Find the second derivative of o(q) wrt q.\nAnswer: 6*q - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5046157 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -10 + 1*7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.1879 to 2 dps.\nAnswer: 1.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.09 + 5.09. Let l = -5.252 - -0.052. Let g = l + y. Which is the smallest value?  (a) 5  (b) 1\/7  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5082063 is divided by 16341?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 5) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/8)\/(15\/72)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 17413 and 1583?\nAnswer: 17413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-3) - (-399)\/(-147))\/((-10)\/7)?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l - 306 = 5*d - 330, -36 = -14*d + 5*l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 527 is divided by 47?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + (-8 + 12 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 612 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 32492\/7  (b) 6  (c) 0.3  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 2*x**2 + x - 6. Let k be a(-6). Calculate the highest common factor of k and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-120)\/42)\/(-5))\/4\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -42, 27, -3\/7, -6\/2303 in ascending order.\nAnswer: -42, -3\/7, -6\/2303, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 3596 + 1932 = 0. Suppose -103 - v = -5*j. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 289, 773, 1729, 3391, 5993, 9769, 14953?\nAnswer: 21779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the third derivative of -f**8\/112 + 2*f**7\/15 + 13*f**5\/6 - f**4\/12 - f**2 + 175. Find the third derivative of p(b) wrt b.\nAnswer: -180*b**2 + 672*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -23*w**3 - 21*w**2 + 122*w - 17. Give r(6).\nAnswer: -5009","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -169.97 - -170. Let h = -12928\/23 - -562. Which is greater: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - o + (-4 + 1 + 4)*(0*o + o - 2*o) - 3*o + 3*o + 12*o)*(-2*o - 2*o**3 + 2*o).\nAnswer: -20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 - 8*y**2 - 10*y + 9. Let l be b(9). Solve -1 + 4 = -o - m, -5*o + 5*m - 25 = l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -96 + 95.9. What is the nearest to d in 0.5, -2, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 78495 - 78493. Find h such that 0*h**r + 1\/3*h**4 + 0 + 0*h - h**5 + 2\/3*h**3 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) -3\/79268  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -7*a - 51 + 4*a - 4*a. Let g be (-4)\/9*3 + (-338)\/39. Let x be s(g). What is the highest common factor of x and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cccccii. What is prob of picking 1 c and 1 i?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 435000*z - 111 - 63 - 58 + 232. Suppose -k + 4*k + 18 = 0. Let i be x(k). Round i to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32136 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-9) - 14\/(-18). Let c(v) be the first derivative of -4 + v**2 - 1\/3*v**3 - v - 3\/4*v**4. Give c(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 + 0)*(-57)\/6. Let z = d - 14. Suppose -z*h = -181 - 169. What is the remainder when h is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (6 - -11) + (-3 - 0). Let f(p) be the third derivative of 3*p**4\/8 - 7*p**3\/6 + 2*p**2. Is f(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3815875614?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1224 and 1944?\nAnswer: 33048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -7*t + 33. Let a be w(-6). Suppose 5*p - a = 15. What is the greatest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 5, e: 11}. Give prob of sequence aae.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 + 2*b**2 + 3*b + 3. Let m be d(-2). Calculate the greatest common factor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v - 67 + 3. Let w(d) = -d**2 - 13. Let k be w(0). Let q = k - v. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000061498 rounded to six decimal places?\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 1 + -1 + (-2 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 368 divide 108928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*g - 6*g + 396 = 0. Suppose 0 = q - r - 20, g + 58 = 4*q + 3*r. Suppose 8 = l - 4*a, -l = -a + 2*a - 3. Solve 0*n = -l*n - q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 1\/30 of a minute?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, w: 1}. What is prob of sequence aw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = z + 25, 1901*z - 4*y = 1896*z + 46 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 103094869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dpdpvdvddddg. Give prob of sequence pg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes after 7:22 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 360828 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k**4 - 20*k**3 - 134*k**2 - 232*k - 120 = 0. Calculate k.\nAnswer: -2, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(112)*1*6 - ((1*sqrt(70) + sqrt(70))*-1)\/sqrt(10))**2 + 0 + sqrt(343)*1 + (sqrt(343) - (-3*sqrt(343)*-1 + sqrt(343))) + sqrt(343) + -2.\nAnswer: -7*sqrt(7) + 4730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.4?  (a) 0.17  (b) 0.2  (c) 1  (d) -2\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -42*o**3 + 53*o**2 - 17*o + 17. Let j(g) = -7*g**3 + 9*g**2 - 3*g + 3. Let f(m) = -6*h(m) + 34*j(m). Find the third derivative of f(c) wrt c.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 8716\/57 and 154 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*s - 8*s = -301. Suppose -5*m - l = 4*l + 85, -l + 43 = -4*m. Let k be ((-20)\/m)\/((-2)\/(-6)). Solve k*g - s = 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000537213 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -32*o**5 - 33776*o**4\/3 - 9103490*o**3\/9 - 33358592*o**2\/9 + 1916552*o\/3 - 26912 = 0.\nAnswer: -174, -4, 1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -120 + 123. Suppose -68 = -a*d - 4*t - t, 12 = 3*t. What is the remainder when d is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 209 - 205. Let o = -6 - -12. Let y(h) = h**3 - 7*h**2 + 8*h + 3. Calculate the remainder when y(o) is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 4, d: 2, s: 7}. What is prob of sequence sse?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 394770 (base 13) in base 2?\nAnswer: 101010001001001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = 2*d - 212, d - 82 = -2*z + 3*d. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -71941 or 423?\nAnswer: 423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 409.579 - -5.\nAnswer: 414.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.3046 * -0.4\nAnswer: -0.12184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-258)\/43*1\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*((-7)\/(-28) - (-1)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u**2\/4 + 513*u\/4 + 128 = 0 for u.\nAnswer: -512, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1030\/(-8)*(-20)\/5. Suppose 5*f - 4*p - q = 0, 4*f - 5*p + 123 - 544 = 0. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -43?  (a) 3  (b) 9  (c) -2\/7  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - 36 - ((-8 - -15) + (110 - 108))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(825)*-3 + sqrt(33) + sqrt(33))\/(sqrt(1331) - (sqrt(1331) + sqrt(1331) + -1*sqrt(1331) + sqrt(1331)) - sqrt(1331)).\nAnswer: 39*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 3288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 + d + 2*d + 2*d. Let j be t(5). Let m = 0 + j. Let g(i) = -i**2 - 6. Give g(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.58 - -1.5. Let s = i - -0.18. Let v = 0.12 + -5.12. Which is the second biggest value?  (a) s  (b) -0.2  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -3, 4, -4, -324, 5 in decreasing order.\nAnswer: 6, 5, 4, -3, -4, -324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**2 - 13*p + 3. What are the prime factors of k(-9)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -4909 and 7163377.\nAnswer: 7158468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3284 a factor of 36317596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 - -3. What is the second derivative of -5*l - 2*l**2 - 4*l + y*l**2 + l wrt l?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 30 + -14. Calculate the remainder when 39 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-15*q - 3*q - 2*q)*(-q + 0*q + 39*q) to the form c + z*q**2 + p*q and give z.\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 1400*c + 0 - 2.\nAnswer: 1400*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -2*c**2 - 27*c + 36. Give n(-14).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/4075 and 31\/4564.\nAnswer: 114100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/13?  (a) 0  (b) -75\/4  (c) -4  (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + k = -4. Solve -k*w + 25 = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (632\/(-711))\/(4\/(-18))*(-4)\/8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -45307107 - -45307218.000044. Let r = 255 + -144. Let q = r - g. Round q to 6 dps.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 358289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 + 7. Let r be v - (-1 - (-488)\/102). Let o = -2\/17 - r. Calculate the common denominator of o and -139\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**2)**20\/((d**(-4\/9)*d)\/d**1) assuming d is positive.\nAnswer: d**(364\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -1  (c) -0.5  (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78172337.\nAnswer: 137, 570601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - ((4 - 2) + 1 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/(-2 + 3 - 4 - -2). Put -10, j, -1, 3 in increasing order.\nAnswer: -10, -1, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -913, -914, -915, -916, -917, -918?\n\"Answer: -x - 912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/45, -0.1, -2\/5, -3, 10 in increasing order.\nAnswer: -3, -2\/5, -0.1, 2\/45, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 3\/7  (b) -3  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 264455699*p**2 + 390799607 wrt p.\nAnswer: 528911398*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1211 and 2768?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 48 and 1404?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 5 = p, 5*p = 2*t + 4 - 0. Let a(c) = -c**p + 2*c**2 + 0*c**2. Let q(s) = 4*s. What is q(a(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 3*m**2 - 3*m - 2. Let x be (-302)\/(-10) + (-2)\/10. Let c = -12 + x. Calculate the remainder when p(4) is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0, -32, -7, 1 in decreasing order.\nAnswer: 3, 1, 0, -7, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -p - 20, -1 = 5*q - p. Let n = -4 - 0. Which is smaller: q or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -6238, -6281, -6336, -6403, -6482?\n\"Answer: -6*j**2 - 25*j - 6207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rnir when four letters picked without replacement from {n: 1, r: 3, b: 9, l: 4, i: 1}.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/2*5*44. Let f be 6\/(2 + (-1 - 107\/q)). Suppose 4*w - 104 = f. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111.85 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -2*v. Let s(p) be the third derivative of p**8\/10080 + p**5\/20 - 2*p**2. Let z(f) be the third derivative of s(f). Give h(z(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 581.96 - 542.9376. Let f = -234 - -195. Let t = b + f. What is t rounded to three dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1054*p**3 - 84*p**2 - 3*p + 51267661 wrt p?\nAnswer: -3162*p**2 - 168*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 3*x - 53 = 0, 4*x - 67 = 5*l + 55. Let f = 54 - l. Is 38 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) 0.4  (c) 2\/7  (d) -18  (e) -2\/7  (f) -489  (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*j - 1103*j**2 + 29*j - 9*j + 1073*j**2.\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes after 10:58 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1255 - 1247. Let c(r) be the second derivative of 5\/3*r**4 + 0 + 14\/3*r**3 - 4\/5*r**5 - q*r - 4*r**2. Find i, given that c(i) = 0.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*q**3\/6 + 21440*q**2\/3 - 16051910*q + 3089745240.\nAnswer: -5*(q - 4182)**2*(q - 212)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*c = 95*c - 49 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/((-10)\/36) + (-375)\/625. Factor -2*j - 5\/2*j**2 - j**s - 1\/2.\nAnswer: -(j + 1)**2*(2*j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**3 - 3*o**3 + 5*o**3 + 2*o - 2*o**3 - 7*o**2 + 5. Let l be u(-5). Let z = 654 - l. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 164112*y**5 - 30*y**4 + 4*y**3 - 8*y**2 + 546*y + 1303 wrt y.\nAnswer: 9846720*y**2 - 720*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -149 + 146 - (3 - -18)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 5 - 1 + 4*l - l**2 + 7*l. Calculate the smallest common multiple of 58 and d(9).\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 20*l - 3*l - 8*l + (4 - 6 + 1)*(-1 + 1 - l) + 20*l - 3*l - 5*l + 1 + 1 + 6*l - 4.\nAnswer: 28*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7596, -2, -5, -3.\nAnswer: -5, -3, -2, 7596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-135)\/25 + 4\/10. Let z = -0.4 - 3.6. Which is the second smallest value?  (a) -1  (b) m  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9.1 - -11.1. Which is the closest to 1?  (a) 45  (b) u  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 27 - 4*c + 2171*c**2 + 2176*c**2 - 26*c - 4348*c**2. What is b(-31)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3443559 and 33?\nAnswer: 37879149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23.4649 hours to minutes.\nAnswer: 1407.894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -40798 - 1202. What is g rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-30) - 7\/(105\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 525*j**5 + 110158*j**3 - 38286383*j**2 + 2 wrt j.\nAnswer: 31500*j**2 + 660948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4 + -4 + 3*1. Let z(f) = -f**3 - f + 6*f**2 + 4 + 0*f - f. List the prime factors of z(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*a*f**4 + 242*a*f**3 - a*f**2 + 2*a*f + 3*a - 12*f**4 - 9*f**3 - 4784*f - 5 wrt f?\nAnswer: 144*a*f + 1452*a - 288*f - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*p = 4*w - p - 3, 5*w - 5*p = 15 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*r - 2036 = -713*r + 9564 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 108699822 is divided by 218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 16 = 4*q, 5*j + 4*q + 16 = 2*j. What is the units digit of 11 - j - (-7 + 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2 + 453816*v + 25743620232.\nAnswer: 2*(v + 113454)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 1:29 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 135 = 52*l - 47*l. Calculate the remainder when 79 is divided by l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + -1 + -38 - (2 + 0)) + 32062 + -32064?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes after 11:33 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3043 - 24*o**2 + 6082 - 3045 to the form y + d*o**2 + n*o and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -k - 3*o - 50, 7466*k - 7458*k + 2*o = -312 for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3)\/1 - -1) + -12 + 9. Let f be 3\/(-3) + -1 + 0. Sort 3, j, f in ascending order.\nAnswer: j, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -105 - -198. Let f = t + -66. Calculate the greatest common divisor of f and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.504 + -0.104. Put -4, -2, x, 4 in decreasing order.\nAnswer: 4, x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -4, 25, 0.3, 1\/3, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3277.001287 - -3277. What is u rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2*n**3 + 1. Let b(s) = 19*s**3 + 14*s + 18. Give -2*b(m) + 18*v(m).\nAnswer: -2*m**3 - 28*m - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90*k - 1224 = 56*k. Is k equal to 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/7 or 0.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 593008 and 142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -106188*u**4 - 5*u**3 + u**2 + 1022079*u wrt u.\nAnswer: -1274256*u**2 - 30*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.99 + 1.99. Let f = x - -0.02. Which is the closest to 0.1?  (a) f  (b) 0.3  (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 690245, 1380512, 2070779?\n\"Answer: 690267*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 181 = -82*r + 17. Which is the closest to 1?  (a) r  (b) -6\/31  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45703030 divided by 122.\nAnswer: 374615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.024254 rounded to two dps?\nAnswer: -4.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.025350793 to three dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 81\/2 + -895\/22. Let r = 0.09 - -0.01. Let q be 7\/(-4) + 21\/28. What is the nearest to -2\/9 in r, q, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -17*o + 4*o + 26 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0004018571 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -310 or -308?\nAnswer: -308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {y: 1, b: 2, s: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y + 12*y - 35. Sort 4, 0, y, 1.\nAnswer: 0, 1, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from xxxixyxxxxxxxxxx?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and 2.647734.\nAnswer: 0.2647734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -f**4 - 8207*f**2 + 275*f**6 + 222*f**6 + 3 - 8248*f**2 + 3*f + 16418*f**2 - 2*f**5 wrt f?\nAnswer: 59640*f**3 - 120*f**2 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 2*w**2 - 3*w**2 + 0*w**2. Let f(v) be the second derivative of v**3 - 2*v - 34. Give u(f(d)).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**3 + 11*m**2 - m - 8. Let s be t(-11). Suppose s*k = -k. Suppose 4*h - 252 = -k*h. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5240, -10451, -15662?\nAnswer: -20873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2*(-2)\/(-4)*0. Suppose k = -l + 4 - 1. Solve -l*m = -2*m + 2*j + 2, -2*m = -3*j + 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6279249747 to the power of 1\/6, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 - (3 - 1)\/(-2). Suppose -4*o = o. Suppose -w*y + 6*y - 84 = o. What is the remainder when y is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fzlllzzptlf. Give prob of sequence tf.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 278*q + 1130*q + 271*q - 80144 + 9626 = 0 for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 707024 and 9712?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of -7*x - 2 + 7 + x**4 - 3. What is the derivative of i(o) wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 64\/13 or 5?\nAnswer: 64\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 1250900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 16276432615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 0 + 6. Suppose -k*i = -27*i + 9925. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -75 + 270. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (70\/240)\/(140\/40)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t + 2*n + 20 + 26, -30 = 2*t - 5*n. Which is the biggest value?  (a) 4\/9  (b) t  (c) 2  (d) -0.1  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.9 - 1.3. Let v = t - -0.3976. What is v rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -50154 (base 6) to base 10\nAnswer: -6550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 101212221 (base 3) to base 16\nAnswer: 1f00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 4*x - 3*y - 0, -8 = -4*y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/((g*g**2)\/g)*g)\/(g\/(g*g**4*g*g)))\/(g\/(g\/g**(1\/3)))**(12\/7))\/((g\/(g**(-1)\/g))**0*(g**3\/g)\/g**(-1)) assuming g is positive.\nAnswer: g**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.02, 3, -0.7, 3\/8?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 118 a factor of 2029084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14889.00014506 + -14889. What is z rounded to six decimal places?\nAnswer: 0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 152546 is divided by 4622?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*n - 316 = -276 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r = -4, -61 = 7*f - 5*r + 134 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 2372941733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n + 2*p = -18, 5*n - 3*p + 6*p + 22 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 43167 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-10) - 222628\/(-126105). Let f = 201539807\/2402 + -83905. Let n = f - j. Find the common denominator of n and -79\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 26 = -2*t. Let p = t - -40. Suppose 5*g - p = -2. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 131 - (32 + -1 - -44).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 5*z = -103, 0 = j - 6*j - 3*z + 571. What are the prime factors of j?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -392, -387, -382, -377, -372, -367?\n\"Answer: 5*s - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 14 - 9 - 1\/(15\/66). Determine d so that -3\/5*d**4 + q*d**2 + 6\/5*d**3 + 0 - 6\/5*d**5 + 0*d = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = f, -4*f + 2*g = 4 - 0. Does 11 divide 359*(3 + f) + (9 - 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 6*t**2. Let y(u) = 2 + 17*u - 15*u - 2. Calculate n(y(f)).\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1535180 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -332844000 rounded to the nearest 1000000?\nAnswer: -333000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1011 - 1040 - (4 + -18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s = 23 - 2. Suppose -3*i + 7*x - 103 = s*x, 0 = -2*i - 4*x - 82. Let h = i - -40. Solve 0 = -3*w + g + 2, 0 = -h*g - 2*g + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 394325*n**3 - 2803*n**2 - 2*n + 297 wrt n.\nAnswer: 2365950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of 20*y - 1\/3*y**3 + 0 + 25\/2*y**2. What is the derivative of c(p) wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 2*w - 6, -5*w - t = -4*t - 9. Let j be (-230)\/(-26) - (w + (-6)\/39). What is the greatest common factor of 117 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.939 * 57\nAnswer: -53.523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2*((-4)\/(-2) + 1). Suppose -4*d - 8 = 4*b, 0 = b + 3*d + n. Let r = b + 6. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + 1 + 18 + 0 + -14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**2 - 15*s - 6. What is g(-13)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ruru when four letters picked without replacement from rrrrurruiiruur.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -170 + 138. Let o be 4*g*5\/(-10). Calculate the highest common divisor of o and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (-47 + 45 - (0 - 9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**3 - 3*m**2 - 6*m. What is t(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 12 = 0, 10*n - 7*n + 5*q = -3. Let y(i) = -i**3 - 7*i**2 - 4*i + 8. Give y(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-28)\/6 + (-9 - 7)\/(-4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k + 1. Let g be d(1). Suppose -x = 3*y - 3, -4*y + 5 + g = x. Let r(t) = -5*t**2 + t**2 + y*t**2. Let b(q) = -q**2. Calculate r(b(j)).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7985674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -174683\/2600 + 874\/13. Calculate the common denominator of -7\/40 and f.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -1\/9  (b) 5  (c) 5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*q**2 + 5*q - 100.\nAnswer: 5*(q - 4)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1151221391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 118.0981 + -118. Let t = b + -0.112. What is t rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28 + (-6 + 1 - 3) - (-13 + 9).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -103, -1\/2, -1, -3 in decreasing order.\nAnswer: -1\/2, -1, -3, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15546 by 127.\nAnswer: 15546\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 4 - 2)*(-p + p + 2*p) + p - 3 + 3 + (0 + 2 - 3)*(3*p + p - 2*p) - 3*p + 4*p - 2*p - 120 + 120 - 2*p)*(p + 2*p - 2*p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -53 divided by -405\nAnswer: 53\/405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4283402208 to the nearest integer?\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 19 = 179. Calculate the greatest common factor of 120 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the third derivative of 31*s**6\/40 - 35*s**5\/12 + 71*s**4\/24 + 11*s**3\/6 + 1356*s**2. Factor u(b).\nAnswer: (b - 1)**2*(93*b + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 3 f when four letters picked without replacement from {o: 3, f: 13}.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tab when three letters picked without replacement from {t: 1, n: 5, a: 9, b: 3}.\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.765258nm in centimeters?\nAnswer: 0.0000004765258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2442 - 24463\/10. What is the common denominator of -9\/20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of -2*(-2)\/(-20) - ((-60262)\/10 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11690 + -6809. Sort q, -1, -2 in increasing order.\nAnswer: -2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2863 is divided by 2850?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/6)\/(4\/48*-2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(16\/26) - (-264)\/((-572)\/26)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -2*r, -112 + 12 = -5*y - 2*r. What is the remainder when 196 is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5414 = 3*r + 3*f + 5548 - 11124, -22*r - 5*f = -1103 for r.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 60072 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(0 + 1*((sqrt(243) - (1 + sqrt(243)))*-4 + 5) + 5))**2.\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pnpnhpnyypypnnnnyn?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 3*p - 2267 = 0, 28*u + 4*p = 30*u + 886. Let x = 160 - u. What is the highest common factor of 47 and x?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5185*d**2 - 6134*d**2 + 3014*d**2 + 1346*d**2 - 4957*d**2 to the form k + n*d**2 + u*d and give n.\nAnswer: -11916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -19*p**2 + 4*p + 13. Let q(i) = -13*i**2 + 3*i + 9. Let m(z) = -7*q(z) + 5*x(z). Let f be m(0). Solve g + f*t = -6, 5*g + 0*t = 3*t + 35 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24, 43, 60, 75, 88, 99?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -2 - 6. Is 4 a factor of j\/((-2)\/(-32)*-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 40\/8 + (2 - 1). Suppose 4*a + 3*a = 4*a. Suppose 0*u - 6 = -p - 3*u, p - 4*u + 15 = a. Put p, j, 5 in decreasing order.\nAnswer: j, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**2 + 3897*a + 7806.\nAnswer: -3*(a - 1301)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 5394 divided by 2\nAnswer: 2697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 3*o + 5*o. Let z be 3\/(-2)*(-1 - o). What is the tens digit of z\/(12\/290) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39610283 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*((-20)\/15)\/((-436)\/1962)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-627)\/38)\/((-2)\/(-4)). Let c be (-6)\/z - (-564)\/44. Is 12 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -302, -353, -374, -353, -278?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -7*r**2 - 308*r + 42. Let w be n(-29). Calculate the highest common factor of w and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 1139238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4561105447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5\/4  (b) 0.292  (c) -3169  (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f*f*f**(-1\/4)*f)**(4\/3)*f\/f**(-1\/4)*f*f*f**(-8))**(-19) assuming f is positive.\nAnswer: f**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cgc when three letters picked without replacement from {c: 5, g: 11}.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(49)\/((-1*sqrt(448) - sqrt(448) - sqrt(448)) + sqrt(448)))**2.\nAnswer: 7\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 + p**2 + 1. Let q be 2 - (-43)\/((-688)\/(-192)). Let t(i) = 6*i**3 - 7*i**2 - 16*i - 7. Calculate q*c(z) + 2*t(z).\nAnswer: -2*z**3 - 32*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*o + 256 - 283 = 0. Let p be 1\/((1\/(-4))\/(o\/(-12))). Solve -w + p - 6 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00190176578 rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 24917 * 0.2.\nAnswer: 4983.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13197?\nAnswer: 3, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -39*c + 23*c - 16. What is the units digit of c\/(-4) + (3 - 16681\/(-28))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (568\/(-217) - -3) + 32\/84*(-21)\/28?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((4*sqrt(119))\/sqrt(7) + sqrt(17))**2 - (-4 + sqrt(17)*-3)) + -5.\nAnswer: 3*sqrt(17) + 424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times 0.201\nAnswer: 0.0603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1426 and 2300138?\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.06, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2 + 2141*u + 405300.\nAnswer: -(u - 2316)*(u + 175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-8)\/4)\/(3\/(-18)). Suppose -13 + 1 = -4*x. Solve 7*d - x*d = f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 19 = 5*t + 9, 16 = 4*t. Let o(l) be the third derivative of l**5\/20 - 19*l**4\/24 - 11*l**3\/3 + 3*l**2 + 45*l. Is o(a) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**3 + 7*o**2 - 5*o - 6. Let f be y(-8). Let w = 30 + f. Does 28 divide -2 + w - (-12 + -102)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1001*v = 1009*v + 24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(448) - sqrt(448)*1)**2 + -1 + -5 + sqrt(112) + -3 + sqrt(7) + (-2 + sqrt(252))**2 + sqrt(252).\nAnswer: -13*sqrt(7) + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -117*j**2. Let c(d) = -d. Give g(c(f)).\nAnswer: -117*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -179*r - 72*r + 10040 = 0. Calculate the remainder when 2279 is divided by r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -284  (b) 4  (c) -0.1  (d) -0.2  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-21)\/(189\/6))\/1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes before 8:15 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2378*z**3 + 43*z + 273.\nAnswer: 14268*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4397*g**3 - 5099*g**3 + 15328*g**3.\nAnswer: 14626*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 25*w**4\/4 - 240*w**3 - 585*w**2\/4 = 0.\nAnswer: -3\/5, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4*3\/4 - 9. Let u(c) = -13*c + 3. Let x be u(a). Suppose 8*o - 4*o - 108 = 0. Calculate the greatest common factor of x and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*w + 5*l - 2*l - 2*l - 5*l = 166, 0 = -2*w - 3*l + 53 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -4 + (-8 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 384714 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 81393604 divided by -116.\nAnswer: -701669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 + (24 + -19 - (-3 - -2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 83 = 2*m, -2*v + 61 = -m + 7. Suppose 4*b + 5*k - 176 = 6*k, b - 5*k = v. Calculate the remainder when 490 is divided by b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68 + -59 + -9 + -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2464 and 4928?\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -13*w**2 - 4*w + 4. Let v be b(-2). Let s = v + 278. Is s a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*p - 4*p + 3*p - 4*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 19*h**2 + 12*h - 57. Let k(o) = 6*o**2 + 2*o - 1. Give 6*k(z) - m(z).\nAnswer: 17*z**2 + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 0, 41, 80, 117?\n\"Answer: -r**2 + 44*r - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 323 and 143854289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/k**(-6)))\/k)\/k**(-2\/7)*k\/((k**(-2)*k)\/k)*k**(-4\/3)*k assuming k is positive.\nAnswer: k**(-85\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 15*x - 33. Suppose 48 = -3*o + 7*o. Suppose o*h = 5*h + 70. What is the hundreds digit of k(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 - 1)*((1 - 2) + 1). Suppose -b + 4*c - 10 = c, -5*b + 4*c + 5 = u. Solve 2*j = -2*j - b*x + 3, 3*j - x + 12 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -435 in 122, 151, 1, 1\/2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -6*(-1*sqrt(17)*-6)**2 + (5 + sqrt(272) - 1*sqrt(102)\/sqrt(6)).\nAnswer: -3665 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*y + 10*y = 34. Let a(n) = n**2 + 34*n - 14. Let t be a(y). Sort -5, t, 0 in descending order.\nAnswer: 0, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + 4 - -19) + -48.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange l**4 - l**4 + l**4 + (6 - 1 + 3)*(0 - l**4 + 0) to f*l + x*l**2 + o*l**3 + i + y*l**4 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6.22447 - 0.12447. Which is the second smallest value?  (a) l  (b) 2\/3  (c) 5  (d) -0.3  (e) 0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*h - 3*h + 0*h)*(-56 + 19 + 28).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 241 + 221. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -6098, -6097, -6100, -6107, -6118, -6133, -6152?\n\"Answer: -2*d**2 + 7*d - 6103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssppslllplppl. Give prob of sequence pl.\nAnswer: 25\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 4720505844?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 135 divide 150*1062\/(-120)*-12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 95 = 5*u, -2*u + 3*k = 2*u - 55. Suppose -4*d - u = -5*d - 3*y, 3*d - 3*y = 0. What is the greatest common factor of d and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/2, 0.2, 3, -0.2, 8 in decreasing order.\nAnswer: 8, 3, 5\/2, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-78)\/(-13) - 7\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 3*v**2. Let c(u) = -7*u**2 + 5. Let w(a) be the third derivative of -a**5\/15 + a**3\/2 - 4*a**2. Let m(x) = 6*c(x) - 10*w(x). Calculate t(m(q)).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the second derivative of 7*a**2 + 2*a + 0 + 0*a**3 + 1\/12*a**4. What are the prime factors of z(0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes before 11:19 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 212 a factor of 1666738700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65923014.\nAnswer: 2, 3, 23, 541, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0166573059 rounded to 4 decimal places?\nAnswer: 0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (60\/(-21) + 3)\/(0 + 1). Is k not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 + 35b93?\nAnswer: 35b94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**2 + 10*a - 17. Let t be p(7). Let k be ((-63)\/t)\/(9\/48). Let u = k - -801. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1136.2 - -1136. Which is the second biggest value?  (a) -8  (b) q  (c) 15  (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 631411 a multiple of 671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 235 - 186. What is the common denominator of 138\/(-966) - (-32)\/d and 31\/77?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ukx when three letters picked without replacement from {u: 6, m: 3, s: 2, x: 1, k: 6}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 6*r**2 + 9*r + 21. Let c be v(-4). Suppose -p - c = a, 7*a = 3*a + 5*p - 288. Let t = -46 - a. List the prime factors of t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11922802 to the nearest integer?\nAnswer: 3453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*(2\/2)\/(1\/(-1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -783821608*l**3 + 100424441*l wrt l?\nAnswer: -4702929648*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 23472170 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 39 and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let -v**2 - 27844750*v - 193832525640625 = 0. What is v?\nAnswer: -13922375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -225797\/5 <= -45158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -951711429 - 84551\nAnswer: -951795980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*m - 2*m + 2*g - 8, 2*m = 2*g + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1391.\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 0*b + 2*d + 19 = 0, d + 7 = -b. What is the units digit of 5\/b*32\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 129 = 4*u, 0 = -2*y + y + 1. Calculate the highest common divisor of u and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -5*w**2 + 4*w + 4*w**2 + 3 - 3*w. Let x be a(-5). What is the units digit of (52\/(-6))\/(18\/x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3976*o**3 - 4*o**2 + 70305 wrt o.\nAnswer: -11928*o**2 - 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -13 - (-9 + -10 + 11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4513239?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 47116 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -28*a - 18. Let h(t) = 27*t + 15. Let w(l) = 5*f(l) + 6*h(l). Let r(d) = 3*d**2. Determine w(r(n)).\nAnswer: 66*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 802\/14601 + -12\/157. Does 1 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 2, r: 2, f: 1, c: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(22)\/sqrt(44) + (0 + sqrt(128))**2*-3.\nAnswer: -384 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -4, 0.2, -0.3, -47?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 2*z + 4. Suppose -2*h - 2*y = -16, -14 - 6 = -4*y. Suppose -4*w + 5 + 27 = 0. What is the lowest common multiple of w and m(h)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 672 - 2812 = 96*m + 123 + 905 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 241  (b) 1  (c) -3  (d) -0.034\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 69*s**3 - 383?\nAnswer: 207*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85*h - 4*j = -87*h + 3876, 3*h - 5814 = 3*j. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-3) + (-2440)\/183\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**2 + 5*u + 9. Let o be k(-3). Let v be (o + 0 - 0) + -1. Find the second derivative of 9*a + 5*a**3 - v*a**3 + 2*a**3 - 4*a**3 wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 249*t + 348*t - 12537 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l + 28*l**2 - 34*l**4 - 30*l**3 - 32*l + 32*l**2 - 33*l**4 + 72*l**4 = 0. What is l?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -49\/564 - -8\/47. Let z(u) be the third derivative of -1\/6*u**3 - j*u**4 + 3*u**2 + 0 + 0*u. What is z(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/417947587 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3935 take away 17237?\nAnswer: -17236.6065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 93424534 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from carnriucurruna. What is prob of sequence uc?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.00285934761 - 451780.98534065239. Let a = -451716 - d. Let w = -65 + a. What is w rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -610 + 679 = -13*m + 3*c, -2*c = -2*m - 6*c - 24 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -2162.\nAnswer: -1\/2162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 7, c: 3, f: 3}. What is prob of picking 1 f and 3 c?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 8406*w. Let t(r) = -9*r**2. Give a(t(p)).\nAnswer: -75654*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((3\/20)\/(15\/160))\/((-7)\/35)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 4*d - 173. Let w be p(44). Let m = 2 + 0. Suppose -m*b = w*b. Put b, -2, 1 in descending order.\nAnswer: 1, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 13 = -m, h - 8 + 1 = -m. Suppose h*a - 373 = 4*t - a, 5*t - 3*a = -470. Is t\/(-9) + (-2)\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(176)*-3 + -1*sqrt(11) + 2)*-2.\nAnswer: -12 + 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34932023.\nAnswer: 7, 487, 10247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 66 = -f, 3*q + 0*q = -f + 101. Let n be 6\/6 - (-8)\/2. Calculate the highest common factor of n and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -5*f - 6. Let z(t) be the first derivative of 35*t**2\/2 + 40*t + 14. Let v(p) = -20*k(p) - 3*z(p). Let a(b) = 10*b**2 + 18 - 34 + 16. Give a(v(q)).\nAnswer: 250*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, d: 2, a: 6, r: 3, f: 2}. Give prob of picking 2 d.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -6*(-13)\/(-364)*(-14)\/18\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -9*f**2 - 2*f - 1. Let w be q(-1). Suppose -1130 = 3*z - 5*p - 26, 4*z + p + 1449 = 0. Let k = 356 + z. Which is bigger: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 6*a**2 - 24*a - 1. Let h(z) = 12*z**2 - 52*z - 2. Let k(u) = -9*b(u) + 4*h(u). Let i(g) = -12*g**2 + 17*g + 2. Give 6*i(c) - 13*k(c).\nAnswer: 6*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1115286 and 52095.\nAnswer: 128257890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5653871200 rounded to the nearest one million?\nAnswer: 5654000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 3*y - 16. Suppose 0 = f - y*f + 390. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 45 and 591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1959 + (-10 - -10)\/1. Which is smaller: h or -1960?\nAnswer: -1960","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 65 + -10. Suppose -b + 6*b + c = 0. Let r(a) = a**3 + 11*a**2 - 5*a - 4. Does 13 divide r(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 + 1. Let d be ((-28)\/(-16))\/(-7)*8\/10. What is the third biggest value in m, d, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1373416 + -1956584. Round g to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (18\/15)\/(3\/10). Suppose l*h = -5*d - 8, -d - 3*d - 28 = -4*h. Sort 4, -1, h in increasing order.\nAnswer: -1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 213873135 to the nearest integer?\nAnswer: 14624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-2)\/2)\/((-1)\/46) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 15*j - 24 = -14*j + 27*j, 2*o + 3*j = 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4279.567 tonnes to kilograms.\nAnswer: 4279567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-124)\/(-28) + (-10 - -5) + 0. What is the nearest to 17\/56 in 2, -1, l, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -185507124, -185507126, -185507128, -185507130, -185507132, -185507134?\n\"Answer: -2*c - 185507122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 10 = 2*c, 6*j = 2*j - c + 8. Is j\/4*(-16 - -47618) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10 - (-5 + -4) - 946629. What is r rounded to the nearest 10000?\nAnswer: -950000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f and 1 j when four letters picked without replacement from {f: 3, j: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 127 + -241. Let t = -4 - b. Does 22 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -27, -19, 5, 51, 125, 233, 381, 575?\n\"Answer: h**3 + 2*h**2 - 5*h - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -4845.93 to the nearest 100.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(10) + sqrt(490)*3)\/(2*sqrt(720)))**2.\nAnswer: 121\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2214 rounded to three dps?\nAnswer: -0.221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(-2\/51))\/(p*p**(-6)))\/(p*(p*p**(-21\/5)*p)\/p*p*p*p*p**(-15)) assuming p is positive.\nAnswer: p**(5161\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 5992 + 5974 = 4*v, -2*v = 2*w + 6. Let y(l) = l**2 + 14*l + 45. Give y(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4171681016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1795059 is divided by 605.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 552792636?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10394689*l**3 - 10394720*l**3 + 20789496*l**3.\nAnswer: 87*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 131230 (base 4) in base 10?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-11)\/66*(-9)\/(-2). Let l be ((-1)\/2)\/((-6)\/4). Which is the second biggest value?  (a) j  (b) 0.4  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12614 (base 7) in base 3?\nAnswer: 11122122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*a**4 + 2853*a**3 - 25185*a**2 - 32373*a - 4374 = 0. What is a?\nAnswer: -81, -1, -2\/13, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 29478, 117887, 265218, 471477, 736670?\nAnswer: 1060803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1))**0)**(-48)*(g\/(g*g*g*g*g**(-7)*g)*g**(2\/5))\/(g**(2\/5))**(-3\/4) assuming g is positive.\nAnswer: g**(37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/126151220 and 199\/1560?\nAnswer: 756907320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -383 + 415. Calculate the highest common factor of 40 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.381 to 1 dp.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6*i*n*v - 73360*i*n - 2*i*v + 4*i + 8*n*v - 2*n + 1036*v - 36 wrt v?\nAnswer: -6*i*n - 2*i + 8*n + 1036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 2.518379 years?\nAnswer: 0.2518379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2327\/63 + -549\/14. Find the common denominator of -1 + (-2)\/28*71 and z.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 6, l: 2}. Give prob of sequence xxx.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.7 - -0.7. Which is the nearest to -0.2?  (a) -1\/2  (b) g  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 17\/6 of a century?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -838 = -22*b - 970 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, f: 1, k: 1, z: 3}. What is prob of sequence fn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 2, n: 3, a: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.98420082 - -19237.4.\nAnswer: 19236.41579918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-9\/4)*(m*m*m*m**(-8\/7)*m)\/m)\/((m*(m**11*m*m)\/m*m)\/m**(-2\/5)) assuming m is positive.\nAnswer: m**(-2071\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -138105 and 554106?\nAnswer: 692211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 17783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 1, -15, 4\/7 in increasing order.\nAnswer: -15, 4\/7, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-1\/22))**(1\/31)*(((k*k\/k**(2\/17))\/k)\/k*k)\/(k\/(k\/(k**(-7\/9)*k)*k)) assuming k is positive.\nAnswer: k**(176747\/104346)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -2*1823\/(-3)*(-126)\/(-28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 39a8 (base 14) to base 7\nAnswer: 41401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88*u + 90*u = 3*b + 7, 0 = 5*u + 4*b + 40. Sort 1, u, -27 in increasing order.\nAnswer: -27, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -2*z + 4*y, 61*z + 7 = 66*z - 2*y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 46733, 93607, 140499, 187409, 234337?\n\"Answer: 9*k**2 + 46847*k - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1977 * -2757.8.\nAnswer: -545.21706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4452*j**3*n**3 + 169*j**3*n**2 + 8*j**3 + n wrt n.\nAnswer: -26712*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**2 - 11*l - 28. Let t be q(-7). Suppose 2*g + 0*g - 972 = t. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 157b2a + 3?\nAnswer: 157b2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 3 + 5)*(1 - 1 + 5)*(-2*l + 3*l - 3*l).\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 2:31 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(256) + -5*sqrt(256)*-1)\/sqrt(8).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-14)\/(-42) + 20\/(-6). Sort 3, 4, k, -18 in decreasing order.\nAnswer: 4, 3, k, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6122 divide 2058057228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/(9\/(-15) + 1). What is the least common multiple of 50 and (-16 + n)*(-16)\/6?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -826*c + 821*c - 4*u + 1378 = 0, -2*u - 1396 = -5*c. Which is smaller: 289 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**3 - 24*v**2 - 44*v - 24.\nAnswer: -4*(v + 1)*(v + 2)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the second derivative of -1\/2*a**3 - 1\/2*a**2 + 2*a + 0. Let l = -16 + 14. Calculate o(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0+-752\nAnswer: -752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 + 1 + 3\/3. Suppose -5*q = -u*q. Factor -2*i + q*i**2 + 3*i**4 - 3*i**3 + 5*i - 3*i**2 + 0*i**3.\nAnswer: 3*i*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r + r + 0*r)*(22 - 75 - 55) - 2*r - 18*r + 4*r.\nAnswer: 92*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -8*t**3 + 1145*t**2 - 165*t + 3142. What is c(143)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 55198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -3*q**2. Let d(v) be the second derivative of 37\/3*v**3 + 40*v + 0 + 0*v**2. Determine d(g(c)).\nAnswer: -222*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2096349*y**2. Let w(l) = -3*l. Calculate q(w(v)).\nAnswer: 18867141*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 2*d - 16. Suppose -d = -v - 3*v. Let y be (v\/2)\/((-10)\/(-20)). Solve -5*x - 5*j - y = 0, -2*x + x - 2*j - 2 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 3 + 12. Suppose c*f - 3*n - 31 = -2*f, -f = -4*n + 4. Suppose -8 + f = -4*a. What is the third smallest value in 4, -1\/53, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2 - 2*k + 6. Let c be z(6). Let j be 20\/(-6)*c\/(-25). Let s = 6 - j. Is 2 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 + 60 - 1 - 1. Suppose -3*i + 149 = h. What are the prime factors of i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -5*f**3 - 609*f**2 + 134*f - 345. What is r(-122)?\nAnswer: -1809","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is bddd - -32c?\nAnswer: c32b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14 - 11. Suppose s + h*s = 20. Let l be 2*11 - 10\/s. Solve -3*q - l = 4*w, q + 4*w - 6*w = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1971, -0.3 in descending order.\nAnswer: 1971, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 18 + 2997*h**2 - 1318*h - 18 + 1942*h**2 - 38*h wrt h.\nAnswer: 9878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3 and 0.2661502.\nAnswer: 3.2661502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -4*m**2 - 9*m - 3. Suppose w + 2 = -2. Let g(x) = -3*x**2 - 9*x - 2. Let q be 5\/(3 + (4 - 0 - 6)). Let u(a) = q*g(a) + w*s(a). Give u(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1473 by -2.\nAnswer: -1473\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 738372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -79 - -81. Suppose -5*t + 4*a + i = -487, 5*a = -5. What is the third derivative of -150*z**2 + t*z**2 + 83*z**2 - 16*z**6 wrt z?\nAnswer: -1920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 2808303696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o*o**(-1))\/o*o)\/o*o)**(4\/7))**(14\/9) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the second derivative of -3977*d**5\/20 + 2*d**4\/3 - 17*d**3\/3 - d**2\/2 + 3543*d. Find the third derivative of f(b) wrt b.\nAnswer: -23862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 - 3. Let o(c) = -g + 1 - c**2. Let j(d) = 32*d - 10*d**2 + 29*d - 61*d. Calculate -j(f) + 8*o(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s**4\/7 + 159*s**3\/7 + 2601*s**2\/7 - 7873*s + 28770 = 0. Calculate s.\nAnswer: -137, -35, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4769, 82.\nAnswer: -4769, 4, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 284.0032 rounded to 1 decimal place?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 158, -5, -64, -10 in decreasing order.\nAnswer: 158, 4, -5, -10, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes before 12:20 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, 808, 29, -4, 0, 5 in increasing order.\nAnswer: -4, -1, 0, 4, 5, 29, 808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 3*z + 4. Suppose -6 = -2*f + z. Factor -v**f - 4*v**2 + 2*v**4 + 3*v**5 - 2*v + 2*v**4.\nAnswer: 2*v*(v - 1)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 407*f + 2 = 408*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 51044824?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 529914940?\nAnswer: 2, 5, 19, 23, 60631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**3 + 5*g**2 + 7*g - 6. Let p be j(6). Is p <= -1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + 285a9?\nAnswer: 28600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 2 r when four letters picked without replacement from {r: 11, c: 4, o: 4}.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 399 divide 28912502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 340145917?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1135 = -3*m + 4*h, -2*m = 4*h - 779 + 29. Does 29 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 525532980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 187838?\nAnswer: 2, 7, 13417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2792628177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 133 and 2081751.\nAnswer: 39553269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -113*b + 118*b - 5*d = 35 + 15, -48 = -4*b + 6*d for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:37 PM and 6:10 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + 2. Let v be (-9)\/(-1*(-2 + 3)). Suppose -a*p - v = -7*p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r**3 - 2 + 2 + (3*r - 4*r + 0*r)*(-226*r + 163*r + 214*r)*(2*r + r - 2*r).\nAnswer: -149*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 652788.4l in millilitres?\nAnswer: 652788400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 34996227?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -3*o - 1. Let z be k(-1). Let w be ((-2)\/6)\/(z\/(-12)). Let g = -19.6 - -20. Which is the second smallest value?  (a) -5  (b) g  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = -3*t + 7. What is the second derivative of 0*x**5 - 14*x**5 - 22*x**5 + 0*x + t*x wrt x?\nAnswer: -720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((sqrt(42) - (-2*sqrt(504))\/sqrt(12))\/(sqrt(216) - -2*sqrt(216)) - (-2*(3 + sqrt(7)) - (sqrt(7) - (sqrt(7) - ((sqrt(7) - sqrt(847)) + -5))))))**2.\nAnswer: -141*sqrt(7) + 15499\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*h + 8 = 15*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, n: 3}. Give prob of sequence nvvv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 3*q - 9 = 0, -5*t + 3 = -2*q + 3*q. Let w = t - -2. Factor 0*u**w - 2*u**2 + 4 - u**3 + 7*u**2 - 8*u.\nAnswer: -(u - 2)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 4)*(4977*f - 25541*f + 40549*f + 29143*f + 27754*f).\nAnswer: 153764*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 10927905 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3\/2, 0.6, -3\/4, -1\/5, 0.8, 0.046?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -389 - -680. Suppose -6*w = -3*w - z. Does w = 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the third derivative of -z**6\/120 + 11*z**5\/15 - 67*z**4\/24 + z**3\/3 + 17*z**2 + 5*z. What is the second derivative of p(h) wrt h?\nAnswer: -6*h + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 77*k**3 - 68*k**2 - 8*k + 8. Let i(g) = 26*g**3 - 23*g**2 - 3*g + 3. Determine 8*i(p) - 3*o(p).\nAnswer: -23*p**3 + 20*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 33*m**2 + 8*m + 12. Let w be z(-5). What is the common denominator of 59\/7 and (-4)\/26 - w\/(-26)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*j + 270*j - 120 = 168*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 2\/491  (b) 15.0012  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17 - 13. Let u = g + -4. Let r be 2\/6*u\/9. Solve r = -k + 2*n + 1, -3*k + 5 = -2*k + 2*n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 + 136 + (-133 - 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1032\/43*2\/56.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -20 + 18. Which is greater: c or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21707504 by 104.\nAnswer: 208726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t + 5*t + 22 = 0. What is the least common multiple of 6 and t?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4441606 and 747355.\nAnswer: -3694251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 1\/3, -4, 16?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 80 divide 16690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 147217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 b, and 2 e when four letters picked without replacement from eggeeueeb.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, -3, -1\/4, -0.19, 1 in decreasing order.\nAnswer: 1, -0.19, -1\/4, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 338490*f + 17. Let z be s(11). Let c = z - 2056812. Suppose 0 = -2*w - 55733405 - c. What is w rounded to the nearest 1000000?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (66\/165 - (-214)\/(-10))*(-28)\/(-49)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-13635)\/1010*(-8)\/3*(-3)\/(-36)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 24 times -90\nAnswer: -2160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -8*x + 9. Let k(c) = 4*c - 4. Suppose 0 = 23*y - 261 + 54. Give y*k(m) + 4*i(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6310*z + 30668*z + 506*z to u + s*z and give s.\nAnswer: 37484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 70313 - 376415. Suppose -3*z = 4*c + 1208151, -c + 302029 = -2*c + z. Let q = h + c. What is q rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 - 168a48b3?\nAnswer: -168a48b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -3*y**2. Let j(u) = -2457143*u**2. Calculate j(p(i)).\nAnswer: -22114287*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 41731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 34719420?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18 - 16. Suppose -m - s = -12. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 28 - 18. Suppose 5*j - i + 0*i = -h, 3*j + i - 2 = 0. Which is smaller: j or -2\/27?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 466659 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -4 from -5774.\nAnswer: -5770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + 16 = 0, 4*l + 39 = -67*k + 62*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1274798 and 40446.\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 122 (base 6) in base 3?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in 46\/5, -3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the second derivative of 0*i**4 + 0*i**5 - 1\/6*i**3 + 0 + 1\/360*i**6 - 2*i + 0*i**2. Let w(v) be the second derivative of f(v). Factor w(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:47 PM and 7:27 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -151?  (a) -4  (b) 5  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 420 = -3*g. Let v be 36\/g + 3\/(-7). Solve -2*w - 4 = -v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 282244\/21 or 13441?\nAnswer: 13441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = i - 5, 0*i - 1 = 2*k + 2*i + 8 + 6 + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 77238350 to the nearest integer?\nAnswer: 8789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56473.\nAnswer: 56473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 59666*z**3 + 59*z**2 + 11*z - 4.\nAnswer: 357996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.00554 > -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2185*r**4 - 189*r**3 - 1799*r**2 + 142*r - 2 wrt r.\nAnswer: 52440*r - 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**2 - 9*i - 14. Let r be s(-6). Solve -r*q = -9*q + 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -226.7397 rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/36 and -79\/2449828.\nAnswer: 22048452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -2 - 4*t + 2*t + 5*t - 2*t. Let p(s) = s - 2 + 2*s - 3. Suppose -5*q - 5*r = 20, -5*r - 4 - 8 = q. What is q*p(i) + 5*v(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 18\/5 of a millisecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j - 20. Let k be w(15). Let h be (-6)\/(k + 2) - 0. Solve -3*u - 5 = -5*b, -2*b = -2*u + h*b - 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -194 - -160. Suppose 4*k + 11 - 113 = 5*b, 75 = -4*b + k. Let c = b - p. Calculate the least common multiple of 22 and c.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 66601.27 litres to millilitres.\nAnswer: 66601270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:03 PM and 11:38 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - -10896 - -2 - (-65)\/(-13). Calculate the greatest common factor of j and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-2)\/(-4))\/(1\/4). What is the third derivative of -1 - 1626*b**3 - 2 + 63*b**k + 1606*b**3 wrt b?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 377594 (base 16) to base 14\nAnswer: 6a87ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9)\/(-459)*12\/1. Suppose 0 = c - 4*w - 10, -4*c - 3*w + w + 4 = 0. Determine y so that 0*y**c - 2\/17*y**4 + d*y**5 + 0 + 0*y + 0*y**3 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*u - 30 = 60. What is the highest common divisor of u and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**2 + 3*a - 1. Let i be c(2). Suppose 1 + 4 = o. Let s be o + i + 3 + -4. Put -3, -1\/8, s in ascending order.\nAnswer: -3, -1\/8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.9 - -2. Let x = 0 - 0.08. Which is greater: x or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the first derivative of 3*t**5\/5 - 12*t + 1. Differentiate x(b) wrt b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10830690 and 57902535?\nAnswer: 1505465910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*w + 1. Let a(f) = f**3 + 11*f**2 - 18*f - 66. Let h be a(-12). Suppose 3*q + h*c - 4*c - 85 = 0, -5*q + 143 = 2*c. Solve w*z = 9 - q for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 133819*b**3*v - 52991862*b**3 - 2*b**2*v - b*v + 2*v wrt v.\nAnswer: 133819*b**3 - 2*b**2 - b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, l: 5, b: 1, m: 2, a: 6, o: 1}. Give prob of picking 2 m, 1 a, and 1 s.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -3  (c) 9\/278  (d) -2145  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-4\/17)*a**(-1)*a assuming a is positive.\nAnswer: a**(-4\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 10 = -3*g + 25, 4*o - 65 = -g. Let z be (-2)\/3 - o\/(-6). Suppose z*q + 0*q - 42 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -57521 less than -575201\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 26831606 or 0.1?\nAnswer: 26831606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 3*x - 8*x = -10, -1 = v - 2*x. Let b be ((0 - -2) + -12)*v. Let y be (-1)\/5 + 8\/b. Are -2 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:51 PM and 4:26 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 7 - 23 = 0. Suppose -j - l*z - 148 = -3*j, 3*j - 254 = -2*z. What is the remainder when j is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(91)\/(sqrt(28)*-6).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 12 - 676918*i + 676910*i + 5 + 5.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:57 AM and 3:29 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3\/6)\/((-35)\/210) - -7. Solve -2*y - 2*v - 14 = 0, 3*y + 0*y = -p*v - 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-40)\/35)\/((-5)\/((-140)\/8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -2*s**3 + 7*s**2 - 7*s + 4. Let l be d(4). Suppose 23*q + 16*q + 38 = -40. Let f = q - l. What is the remainder when f is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.726991ns in seconds?\nAnswer: 0.000000002726991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*13038216.\nAnswer: 78229296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 300*t - 173. Is i(60) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4821\/(0 - 3 - (-8)\/2). Suppose -x - 3432 = -9*m. List the prime factors of m.\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.39, 12, -2648?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -10 + 7018?\nAnswer: 7008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from okkkkokoolkkk. What is prob of sequence ook?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 9. Let s(t) be the first derivative of -3*t**4\/2 - 5*t**2\/2 - 7*t + 12. Let i(w) = 5*w**3 + 4*w + 6. Give p*i(r) + 4*s(r).\nAnswer: r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v - 3*v + 4*v + (0 - 4 + 2)*(-v + v - v) - v - 1 + 1)*((1 + 1 + 0)*(3 - 1 - 1) - 17 - 32 - 66).\nAnswer: -226*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -116\/9219 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 54 divided by -18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yypp when four letters picked without replacement from {p: 11, y: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + (sqrt(243) - (sqrt(243) + 2)))*-1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.26076769413 rounded to 5 dps?\nAnswer: -0.26077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2, 0.4, -31, -0.06, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.708069 millilitres in litres?\nAnswer: 0.001708069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + 4.4. Let g = 8 - 3. Let h = 0.0632 - -0.2368. Which is the nearest to -1?  (a) n  (b) h  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = h + 5*w - 10*w, -3*w = -5*h + 20. Let u = 6 - 3. Suppose 7 + 8 = 3*a - u*t, h*t = -4. What is the biggest value in 0.1, -1\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-102)\/5 + 69 + 15885\/(-225)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.312244 and 0.4.\nAnswer: 0.1248976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-8 - (-5 - -14 - 10)) + 17 + 0\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -97*m + 878. Let v be b(9). Solve -n = h - 9, v*h + 0*n - 30 = -2*n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37963459 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (1 - (-11 - -7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 820789 divided by -3.\nAnswer: -820789\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nroorrnnyrennnynonr. Give prob of sequence rro.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 34108.29ml?\nAnswer: 34.10829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2335*o + 13 = -3*s + 2333*o, 24 = s - 5*o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((5 - 1 - 5)*(0 + 0 - 2) + 867 - 1121 - 1117)*(-4 + a + 4).\nAnswer: -1369*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from xaaaaaxaxaa?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1068593, -2138063, -3207535, -4277009?\n\"Answer: -h**2 - 1069467*h + 875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Do -252 and -239 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 + 2.8. Let i = 0 + 0.2. Let o = v + i. Which is the second smallest value?  (a) o  (b) 3  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the first derivative of g**4\/12 - g**3 + g**2 + 1. Let t(c) be the second derivative of m(c). What are the prime factors of t(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 502380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 137\/(((-49)\/21)\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 781522 to the power of 1\/2, to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v**2 + 2 + 718*v + 2*v**2 - 1074*v.\nAnswer: v**2 - 356*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -60160023 (base 7) to base 16.\nAnswer: -4bdfc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/(4 - 26\/7). Suppose 0*c = 2*n + c - r, -25 = 5*c. Let l = n - 1. Solve 2*g = 5*g - l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**2 - o + 2. Let m be w(0). Is (1 - 3\/m)*(7 - 1193) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -14 - 23 - 29 + 71 - 6*t**2. Let g(n) = -15*n**2 + 12. Give -12*b(r) + 5*g(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -660, 3\/8, -4, 0.06 in ascending order.\nAnswer: -660, -4, 0.06, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(2\/19)*n*n*n**(3\/4))**(3\/17) assuming n is positive.\nAnswer: n**(879\/1292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 455 and 197301.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9 - -27. Let i be n\/84*(-1)\/3. Which is the closest to 2?  (a) i  (b) 0.5  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tu when two letters picked without replacement from txkuz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -2*l + 1. Let y(t) = 300*t - 796*t + 274*t + 262*t. What is m(y(f))?\nAnswer: -80*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 46694709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5, 18, 63, 158, 321?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 2*a - 2*c, a + c = -128 + 126 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1608 is divided by 4\/(-46) - 36639\/(-1587).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7658221, 15316441, 22974657, 30632869, 38291077?\nAnswer: 45949281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -2*x**4\/7 + 598*x**3\/7 - 596*x**2\/7 = 0?\nAnswer: 0, 1, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 71.83 * 0.5.\nAnswer: 35.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(21) + 4*sqrt(21)*5)\/(sqrt(448) - 5*sqrt(448)))**2.\nAnswer: 11907\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:14 AM and 10:51 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1225?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 392 and 16?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-4*(-65)\/50)\/20 and -37\/25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/417, 82, 2\/9, -2, 10, -3 in decreasing order.\nAnswer: 82, 10, 2\/9, -1\/417, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 8\/37, -128.158, -0.6?\nAnswer: -128.158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*i + 7*i - 110 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1497.4 - -1497. Which is the nearest to 3?  (a) -1\/3  (b) k  (c) 1\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the first derivative of 2*x**2 - x + 2. Let a(k) = -2 + 0*k + 0*k + 9*k + 0*k. What is 2*a(d) - 5*u(d)?\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 - 2*u**2 + 5*u + 2. Calculate v(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0051346318 to 5 decimal places.\nAnswer: -0.00513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -1004.63389 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 141783 and 1245483.\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(-3\/10)*l)\/(l**(-19)*l))**(1\/6))**(-48) assuming l is positive.\nAnswer: l**(-748\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2619 or -65?\nAnswer: -2619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g = -2*s - 124, 18 - 154 = -5*g - 39 + 233 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -10*g - 6*g**2 + g**2 + 14 - 2*g**3 + g**3. Let j = 330 - 336. Does 12 divide f(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (-9 - -8 - -3) + -11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15 and 445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 32 divided by 17554\nAnswer: 16\/8777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 18*o + 68. Let x(d) = d**2. What is x(v(f))?\nAnswer: 324*f**2 + 2448*f + 4624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zaaz when four letters picked without replacement from {z: 4, a: 2, d: 2, r: 5}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/4, -3\/2, 0.3, 18?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*m = 114 - 390 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 11. Suppose 1647 = -r + w*r. Suppose -2*b = -r + 151. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-5 - -4)\/((-1)\/5). Suppose -4*f - l*z = -5*f + 4, 0 = 5*f + 2*z + 7. Let q = 2\/285 + 544\/3705. Which is bigger: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8*0.27.\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**2 - 2*k + 9. Let g be a(2). Let d(o) = 14*o**3 - o**2 - o + 1. Let z be d(1). Solve 2*f + 10 - g = -l, 3*f + z = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 110021 + -21?\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 47*i**2 + 8*i + 94. Calculate the remainder when c(7) is divided by 91.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64488625 is divided by 809.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, k: 2, r: 1, s: 5, o: 6}. What is prob of picking 2 o?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*x**3 - 2 + 2 + 2*x**3.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 33*k - 817. What is the remainder when b(64) is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5951001*c**3 + 4559357.\nAnswer: -17853003*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4759378*f**3 - 115361*f**2 + 10*f - 2 wrt f.\nAnswer: 28556268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 28112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least 801457026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 5*k - 10, 4*k + 6*r - 5*r - 8 = 0. Calculate the least common multiple of 11 and ((-1)\/k)\/((-16)\/32).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-5)\/((-35)\/10 + 4). Let j be ((-36)\/(-15))\/((-22)\/b + -2). What is the remainder when 148 is divided by -2 + ((-6)\/(-4))\/(j\/256)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(1 + (sqrt(425) - (-1 + sqrt(425)*1)) + 1))**2*-4.\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -4*y**3 - 6*y**2 + 3*y + 3. Let p(t) = -2*t**2 + 2*t + 5*t**3 + 4*t - 8*t**3 - 4*t - 3*t**2 + 2. Determine -2*d(o) + 3*p(o).\nAnswer: -o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 116\/14 - 4\/14. Let b(r) = -3*r**2 - 4*r**2 + z*r**2. Let l(c) = 2*c**2 - 3*c - 2. Let d(f) = 3*b(f) - l(f). Factor d(q).\nAnswer: (q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.1  (b) 17\/4  (c) 2\/11  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of -y**4\/2 - 4*y**3\/9 + 5*y**2\/9 + 4*y\/9 + 13. Find v, given that z(v) = 0.\nAnswer: -1, -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44223.\nAnswer: 3, 14741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**3 - 7*m**2 - 6*m. Suppose 5*k + 31 = -4*i - 22, 3*k = i - 8. Suppose l + 3*l = -4. Let g = i - l. Determine t(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**2 - 6*k - 4. Let j be x(-4). Suppose 4*t + 166*o - 161*o = 43, -3*t - 5*o + 41 = 0. Solve 8 = t*a + 2*a - j*f, -2*f = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**2 + 9*d - 6. Let y be u(-10). Let t(w) = w - y + 3 - 6*w. What are the prime factors of t(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86 = -6*i + 46. Suppose 3*c - 4*d = 44, 0 = -5*c - 0*d + 4*d + 68. What is the lowest common multiple of i and c?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -832 + 1236. Let s = -444.7 + v. Let p = s + 41. Which is the closest to 0?  (a) 0  (b) -0.2  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-5)\/s*s*s\/s**(-1\/2))\/(s**(3\/4)\/s*s**(-4\/3)))\/((s\/(s*s*s**0\/s))**(-11))**(-2\/11) assuming s is positive.\nAnswer: s**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8587\/17 - 505. Let y = -142 - -996\/7. What is the nearest to y in -1\/9, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 15*s + 26. Let i(g) = -31*g - 76. Determine 7*h(u) + 4*i(u).\nAnswer: -19*u - 122","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00519 to four dps.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -215536.803 rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((1\/7)\/1*-2)\/((-16)\/(-14)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the second derivative of 0*i**3 + 0*i**2 + 0 + 1\/4*i**4 + 4*i. Let z(w) = -w + w - 2*w. Give z(d(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 320194, 640273, 960352, 1280431, 1600510?\n\"Answer: 320079*b + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g + 2. Let w(n) = 2*n + 4. Let p(r) = 6*w(r) - 11*z(r). Let v be p(-3). Sort v, 0, 5.\nAnswer: v, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - (-13 - -5) - (-1 - 0)) + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, 1, 30 in ascending order.\nAnswer: 1, 3, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add -22088 and -1.7.\nAnswer: -22089.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9.8 or -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4 and 1436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 56*q + 911. Determine c(-15).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 less than or equal to -495991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -27903512 divided by -996554?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 10\/3 of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - (13 + -19 + -3 + 29)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 47593, 95185, 142777, 190369?\nAnswer: 237961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (8 - 2) - (56 - 56)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -63 * 11.051.\nAnswer: -696.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((-21)\/35)\/(-3)*2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 51*b = -48*b - 20645, 3*b = 4*n - 82670. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 u when three letters picked without replacement from ssssususgssgsus?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 19390208207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -1051*v - 4010. Give d(-4).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*x + 8*x + 4*x**2 + 6*x**2)*(5 - 5 + x).\nAnswer: 10*x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 3  (b) 1  (c) -26  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12 + -10. Suppose 0*n - z - c = 3*n, 0 = -2*z - 4. Solve -w + 26 = 5*r - 0, n = 2*r + w - 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 1 - 3*b**2 - 3*b**2 + 6*b**2 + 0 + 8*b - 2*b**2. What is d(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1341480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9 (base 10) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -8, 3, -4 in decreasing order.\nAnswer: 3, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((1*sqrt(17) + sqrt(17))*1 - (sqrt(68)\/sqrt(4) + 2)))**2.\nAnswer: -36*sqrt(17) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-1)\/(-3) + 16\/(-82) and -9\/4?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**3 - 14*w**2 + 4*w - 13. Let d be a(14). What is the second derivative of -29*t**3 + d*t**3 - 6*t + 5*t wrt t?\nAnswer: 84*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -594 + 589. What is the second smallest value in -0.03, j, -0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppaaaaaaaap. What is prob of sequence apa?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hzyyohzhxyh. What is prob of picking 2 h?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06659 rounded to 3 decimal places?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18.5 - 22. Let s = p + 3.499963. What is s rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1057 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/4, -0.1, 350, 0.1, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 h, and 1 q when three letters picked without replacement from {h: 1, p: 1, t: 1, q: 1, y: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -13 and 478.\nAnswer: -6214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/(9\/3))\/(13\/26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - o**3 - 4)*(-2 + 0 + 0) + 9*o**3 + 50*o**2 - 50*o**2 + 5 - 2*o**3 - 5.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-20)\/4)\/((-1)\/1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8\/15 + 1\/3. Which is the biggest value?  (a) m  (b) -1  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82 = a - 224. What is the remainder when a is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmhhgteemetgthhggh. What is prob of picking 1 h and 2 e?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 230315.1000015 - 230315. Let l = 0.1 - d. Round l to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-59 - (-125 + 57)) + -51?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -10*j - 6. Let u = -9 - 7. Let n(x) = 2*x + 1. What is u*n(o) - 3*l(o)?\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 290700273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6.3 - 32.3. Let p = k - -25.99906. Round p to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 5700557939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 24563071607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 2*j**2 + 4*j - 2. Let m = -1 + 8. Suppose 0 = 4*t - 23 + m. Let y(z) = -2*z - 3*z - 2*z**2 + 2 + 1 + 0*z. What is t*y(g) + 5*s(g)?\nAnswer: 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 + (1 - 2) + -2. Let q be 3\/(7\/l + 1). Let x = q - -36. Calculate the highest common divisor of 80 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**3 - 4*d**2 + 3. Let f be l(4). Suppose 7*a - f*a = 20. Suppose 46392 = -a*m - 13108. What is m rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 - 4\/6*-3. Suppose -9*g = -15*g + 18. Let r be g*(-6)\/(6 - 12). Solve -o*k + r = 28 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 46635.8 meters to centimeters.\nAnswer: 4663580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 + -4. Suppose v - 3 + 0 = r. Find the third derivative of 4*q**v + 2*q**2 - q**2 + 2*q**2 wrt q.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 5\/4 and -671 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-8) + -1 + -7 + 9. What is the closest to -1 in 5, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1432 + -2.\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 10\/4*24\/(-52). Suppose t = 306*n - 309*n - 7, -4*t = -3*n + 28. Which is smaller: n or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**2 - 25*f + 449. Let b(t) = -17*t**2 + 1189*t + 82. Let l be b(70). What is v(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 37*r*u**3*z - 42419*r*z**3 - 522*r - 2*u**3*z**3 wrt z?\nAnswer: -254514*r*z - 12*u**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -254*l - 108*l + 2 + 222*l + 23*l**2.\nAnswer: 23*l**2 - 140*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 406.9518 + -407. Round c to 3 decimal places.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7972?\nAnswer: 2, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 6 + -4 + (-1 - (1 + 0))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2249*z - 4790*z + 8 - 1362*z.\nAnswer: -8401*z + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 199\/2040 and 89\/67300?\nAnswer: 6864600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (-4 - 1)) + 6 + -8 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 609 divide 3425625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 - 6. Suppose -4*f = 2*k - 12, -11 = -4*f + 5. What is the units digit of (k - -5) + p\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 973 = 83*c + 52*c. Let r(x) = -2*x**2 + 11*x + 8. Calculate r(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 889 is divided by 280.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 t when three letters picked without replacement from zwzztzzzzwtttzzz.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*a**5 - 17469*a**4 + 8*a + 150 wrt a.\nAnswer: -40*a**3 - 209628*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q*q**(-1\/4)\/q*q)\/q)\/q*q)**22)**(-2\/59) assuming q is positive.\nAnswer: q**(11\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 600045 and 545?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**2 + 4*y - 1. Let q be p(1). Suppose q*w - 68 = 6*w. Let o = 15 - w. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8004719 divided by -13319\nAnswer: -601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, 0.1, -9.2, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2071 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the third derivative of k**5\/60 - 7*k**4\/24 + 2*k**2. Let o be p(7). Suppose 0 - 8 = -4*a. Sort 4, o, a.\nAnswer: o, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3994495\/23 greater than 173674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 379 - 2645 = 108*g for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 - 17*x**2 + 16*x - 24. Let o be q(-18). Which is bigger: o or 21\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 5*c - 6 - 20, -3*c + 152 = 5*f. Let u(k) = 2*k - 13. Calculate the least common multiple of f and u(8).\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4993*h**2 + 9722*h.\nAnswer: -9986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.098 - 1.24. Let a = 11.2 - 11.3. Which is smaller: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4543515 to the nearest integer?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j**3 - 347412*j**2 + 10057924812*j = 0. Calculate j.\nAnswer: 0, 57902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -13*i + 5. Let m(n) = n - 1. Let t(h) = -g(h) - 2*m(h). What is the tens digit of t(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1122001122 (base 3) to base 5.\nAnswer: 2011440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 18809 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the third derivative of -y**5\/60 + 7*y**2. Let b(d) = -d - 5. Let r(g) = 2. Let p(n) = 2*b(n) + 5*r(n). Determine l(p(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 15*p**2*u**2 - 154375*p**2*u + 12*p*u**2 - 3*u**2 wrt u.\nAnswer: 30*p**2 + 24*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04 - -63266?\nAnswer: 63266.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a - 5*s + 4*s - 10600, 3*a + 3*s = 6342. Let q = a - 1046. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -6, -7, 2, 27, 74, 149?\n\"Answer: o**3 - o**2 - 5*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 3*t + 108. Let d = t + 118. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, b: 1, c: 3, h: 4, a: 2, d: 3}. Give prob of sequence cb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((5 + 0 - 4)*(2 + 0 - 1) + 1 - 1 + 1 + (1 - 2 + 3)*(5 + 0 - 2))*(15*f**4 - 3*f**4 + 9*f**4).\nAnswer: 168*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/11804 and 47\/364.\nAnswer: 82628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3\/(-6)*1)\/(2\/8). Let w be 512 + (-16)\/4 - z. Round w to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ytyfyftttyttt. What is prob of sequence yyff?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/7918 and -19\/856.\nAnswer: 31672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/12 and -77\/28570?\nAnswer: 171420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5085405 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 11:19 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -1 - (1 - 6) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 494 is divided by 163?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 35.3653 to 1 dp.\nAnswer: 35.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6143 and 6.\nAnswer: 36858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 6, -198 = 3*a - 6*a - o. Differentiate 0 - 22 - 2 - a*s**2 - 2 with respect to s.\nAnswer: -130*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 + 1022?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*p - 2*p + 42. Solve p*g - 84 = -82 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -3 + -8 - -12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*v + 3 = 8*v + 2*h, 0 = v - 5*h - 50 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from atkkakjnknjaajaj. Give prob of picking 1 j, 1 t, and 1 n.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + -2. Let n(c) = j*c + 1 + 2*c - c. Let w be n(-5). Is w at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cat when three letters picked without replacement from {c: 2, z: 1, g: 1, a: 1, j: 2, t: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of -g**4\/4 - 3*g**3 - 9*g**2\/2 + 2*g + 21869. Let z(q) = q**2 - 6*q + 3. Let p be z(6). Suppose 1 = p*h + 25. Calculate x(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2063 + 9?\nAnswer: -2058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 309454762.\nAnswer: 2, 191, 810091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:31 PM and 12:11 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-45)\/18*2*(-1)\/(-4).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 5*w**3 + 10743*w**2 + 128*w + 22. Let h(d) = -2*d**3 - 3581*d**2 - 48*d - 8. What is 8*h(f) + 3*y(f)?\nAnswer: -f**3 + 3581*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 3395989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -5*u - 10. Let g be k(-11). Suppose 0*b = b - 22. Calculate the remainder when -2*(-3)\/(-2) + g is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 11 - 11 - j - 5 + 11.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -0*g. Let x(i) be the first derivative of -i**4 - 4*i + g + 2*i - 5. What is the first derivative of x(d) wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f**3\/2 + 6807*f**2\/2 + 13632*f + 13638 = 0.\nAnswer: -2, 2273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 - 4*v**2 - 4*v - 2. Let h be x(5). Put h, 1, 1\/2 in increasing order.\nAnswer: 1\/2, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11088 and 147756?\nAnswer: 19503792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 31192*p**3*v**3 + 2*p**3*v**2 + 2*p**2*v**2 + 56*p**2 + 214*v**2 wrt v?\nAnswer: 187152*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74 + 78*m - 287 + 155*m.\nAnswer: 233*m - 213","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**2 + 36*d - 108. Let k be w(33). Let y be (3 - 203\/(-28)) + k\/(-12). Which is greater: y or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (20\/75)\/((-4)\/(-3))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26786 is divided by 127.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 96 + -8?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 + 25. Suppose 0 = 3*w - 0*w - j. Suppose -w*b = -6*b + 7. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*q**3\/2 - 126*q**2 - 495*q\/2 - 123 = 0. What is q?\nAnswer: -82, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*q + 4*q - 52. Suppose -16*p + q*p + 651 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 18*v - 17*v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11524 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 127872 and 34368?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31126692 is divided by 42.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.5, 3\/10, 4, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 324636 smaller than 3571005\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-2\/19)\/g)\/(g**(-1\/6)*g)*g**(1\/2)*g*g*g**8\/g)**(-2\/43) assuming g is positive.\nAnswer: g**(-862\/2451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 117*q**3 - 4*q + 2*q + 4*q - 29*q**3.\nAnswer: 88*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -3*m - 4. Let c(n) = -37*n**3 - n**2 - 3*n - 2. Let z be c(-1). Suppose -5*t = -19 - 16. Let k(j) = -85 + z + 39 - t*j. What is 4*k(s) - 10*x(s)?\nAnswer: 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 230874.6 millennia?\nAnswer: 2770495200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25\/2 - -85\/6. Let t = 0.23 - 11.23. Let d = -13 - t. What is the closest to -0.2 in 0.5, j, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27, 79, 163, 279?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3530 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -3*z**2\/2 + 61506*z + 1845855\/2 = 0.\nAnswer: -15, 41019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:38 AM and 5:06 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12826 - -12934. Let a = 85.88 - -21.82. Let h = x - a. What is the smallest value in 6, h, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 236000 + -994.048\nAnswer: 235005.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes before 4:10 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and 590?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -3 - 3 - (11 + -11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4821\/124 - 35\/31. Let d = c - 38. Is d bigger than -1\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -301825860 divided by -10.\nAnswer: 30182586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-4)*(-540)\/(-3105)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -3*(sqrt(1331) + -1 + 3))**2 + 0 + (sqrt(1331) - -6*sqrt(1331)*5) + 0.\nAnswer: 671*sqrt(11) + 12004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -4*j + 6. Let u be w(1). Determine z so that 13*z**2 + z**2 + z**u - 8*z**4 - 2 - 5*z**2 = 0.\nAnswer: -1, -1\/2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1416?  (a) 0.13  (b) 167  (c) 2  (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**2 + 6*z - 7. Let j be h(-6). Let p be -1 - (j\/3 - -1). Let g = -3.095 - -0.095. Which is smaller: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 3*y + 1. Let o be (4 - 5)\/(1 - 2). Let t(d) = d + 1. Calculate o*j(i) - 2*t(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 18300 = 3*k + s, 0 = 3*s. What is k rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 0 = 2. Let d(v) = v - 2*v - l*v. Let p(a) = a + 2*a + a. What is p(d(c))?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2*y**2 - 752*y - 10073. What is f(-13)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2302 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(136)\/sqrt(8))**2*-6 - (5 + sqrt(17) + -4)).\nAnswer: -100 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**4 + 444*t**3 + 426*t**2 - 2196*t + 1323.\nAnswer: 3*(t - 1)**2*(t + 3)*(t + 147)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -221 times 3\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1183093887.\nAnswer: 3, 12373, 31873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the second derivative of h**4\/12 + 39*h**2\/2 + 60*h. Calculate the remainder when 152 is divided by u(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(36) + sqrt(36)*4 + sqrt(36))\/sqrt(12).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 223 + 18d6?\nAnswer: 1b09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 27 + -12. Solve -a = 3*n, -n - 13 = -t + 2*n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o - 1. Let d be g(1). Suppose -f + 3*f - 122 = d. Suppose 5*k = 2*v - f, -5*v = 4*k - k - 168. Round v to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -78767 and -36?\nAnswer: 78731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 308 is divided by 65.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -2*j. Let k(t) be the first derivative of t**2 - 5\/3*t**3 - 1\/2*t**4 + 2 + j*t + t**5. Let k(d) = 0. Calculate d.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*g**2 + 1565*g + 5*g**2 + 4*g**2 - 1577*g - 4*g**2.\nAnswer: 3*g**2 - 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(3) - sqrt(18)\/(sqrt(6)*3 - sqrt(6))).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-655)\/(-450) - 12\/8. Let g = 221\/90 - t. Let b be (-57)\/36*-3 - (-6)\/24. What is the third smallest value in -0.6, b, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -10*i**3 + 17*i + 984 - 493 + 8*i**2 - 495. Let t(s) = -3*s**3 + 3*s**2 + 6*s - 1. Let q(o) = 7*t(o) - 2*y(o). Give q(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 - -5.7. Sort d, 2, 1\/4 in descending order.\nAnswer: 2, 1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17 - -17. Suppose 0*u + 4*u = 4*w, -5*w = t. Suppose u = 20*o - 23*o - 12. Let c(v) = v**2 + 5*v. Calculate c(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -225*k**2 - 25. Let i(w) = -28*w**2 - 3. Let m(n) = n**3 + 31*n**2 - 79*n - 404. Let v be m(-33). What is v*i(s) - 3*a(s)?\nAnswer: -25*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -114, -222, -292, -306, -246, -94, 168?\n\"Answer: 3*t**3 + t**2 - 132*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - -2 - (-5 + -8 + 12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1197, -1186, -1173, -1158, -1141?\n\"Answer: t**2 + 8*t - 1206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 928119 is divided by 184136?\nAnswer: 7439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llzpymppzlx. What is prob of picking 1 l, 2 p, and 1 y?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p**3\/4 - 131*p**2\/4 + 4087*p\/4 + 13467\/4 = 0. What is p?\nAnswer: -3, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*v + 10 = 77*v. What is the highest common factor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11\/7)\/(((-23)\/(-161))\/(1\/6))?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.3 + 0.2. Let h = 86 + -82. Let b = 72 - 214\/3. What is the second smallest value in b, d, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + -13 - ((-2 - 3) + 14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -26*d - 19*d + 26*d - 49. List the prime factors of t(-20).\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the first derivative of 4\/15*a**3 + 3\/5*a**2 - 1\/5*a**4 - 1\/15*a**6 - 3 - 6\/25*a**5 + 2\/5*a. Find s, given that g(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -774 = -4*w - 82*w. What is the greatest common divisor of 2763 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -231410 divided by -46282?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 88 divided by 19929\nAnswer: 88\/19929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -2\/13  (b) -533  (c) -2\/9  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j - p - 12, j + 18*p - 17*p = -2. Let r(q) = 16*q**2 - 8*q + 16. What is the hundreds digit of r(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the third derivative of o**4\/24 - 2*o**2. Let p(r) = -2 - 16 - 674*r + 669*r. What is p(y(i))?\nAnswer: -5*i - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -23*v + 17*v + 210. Let d(s) = -9*s + 312. Give d(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 4*u + 0*u + 465 = 0, -o - 3*u - 82 = 0. Let s = 235 + o. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 753608.096\nAnswer: 753602.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*p = 397 + 20627. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2494397+5\nAnswer: 2494402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from gccccccccgotccg.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwdw. Give prob of picking 3 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24033, -23903, -23773, -23643, -23513, -23383?\nAnswer: -23253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d + 7420 - 3719 - 3722 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-k + 0*k + 3*k)*(-2 + 2 + 2) + 3*k - 2*k + 0*k - 4 + k + 4 - 1 + 1 + 2*k + (-1 + 2 + 1)*(-2 + 2*k + 2) + 2*k + 7*k - 2*k as p + n*k and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -5*a - 4. Let y(p) = 2*p + 2. Suppose -2*z + 12 = -m, m = z - 6 - 0. Calculate the remainder when n(-9) is divided by y(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-14)\/(-21))\/((-4)\/(-690)). Suppose -2*p - p + c = -5*b, -165 = -5*p + 3*b. Let w = p + -20. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.28 + 0.27. Let x = 0.27 + h. Let y = x - 1.26. Which is the second smallest value?  (a) y  (b) -2\/3  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -b**2 + 8*b**2 - 4*b**2 - 6*b**3 - 3*b**2.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1000 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12862 and 1298?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -3\/4, -106, -1 in descending order.\nAnswer: 13, -3\/4, -1, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 54\/17?  (a) 2\/17  (b) -5  (c) 0.3  (d) 1217\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13798 - -14190. Does 66 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**2 - 22*p + 119. Does 16 divide v(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2284602 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*j = -15, -j - 69 + 28 = -3*n for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**4 + r**3 - r**2 - 1. Let f(o) = -28*o**4 - 2*o**3 + 2*o**2 - 11. Let v(g) = 4*a(g) + 2*f(g). What is the derivative of v(m) wrt m?\nAnswer: -208*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -9005, -9002, -8999, -8996, -8993?\n\"Answer: 3*l - 9008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 2*u - 3. Calculate the remainder when t(3) is divided by (-26)\/13*(-2)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**2)**(2\/51)*m*m*m\/(m\/m**(-8\/5))*m*m\/m**8 assuming m is positive.\nAnswer: m**(-1408\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -79102.72113 to the nearest 1000.\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 1050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**3 - 127*a**2 - 798*a + 135. Give s(133).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -315448 <= -315444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -2, -16, 1524 in ascending order.\nAnswer: -16, -2, 6, 1524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 28 and 5800424?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -40358057*t**3 - 2*t**2 + 41455419*t wrt t.\nAnswer: -242148342*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1021053764.\nAnswer: 2, 59, 4326499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1910 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 23619, 47320, 71021, 94722?\n\"Answer: 23701*x - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmmmzmmmmmmmzzmmmz. What is prob of picking 3 z?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 893 - -715. Suppose -22*s + 25*s = u. Is 43 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 133 = 6*y - 677. Suppose 4*u - 6*z = -z + y, -5*z = -25. Calculate the remainder when u is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 1091*o - 74. Calculate b(0).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 45307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -2*v**2 - v + 2. Let s be c(-2). Let a = -378 + 382. Suppose -3*m + 2*f + 7 = 3*f, 0 = -2*m + 3*f + 12. Sort m, s, a in increasing order.\nAnswer: s, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 195580 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -987 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 7\/(-2)*(-4)\/7. Suppose 5*i - f - 165 = 0, -i = 2*i + t*f - 112. What is the remainder when i is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjjjjjjjjjjjjjjojo.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 - -12. Which is greater: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 + 218*d - 3595. Let k = -18 + 34. Suppose 0 = h + 5*v - k, 5*v = 2*h + 13. Calculate the least common multiple of s(200) and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 + -6. Let p be (-19)\/g + (-12)\/(-48). Solve 3*z = p*z + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-25)\/(x*x*x**(7\/5)*x*x))**(2\/9) assuming x is positive.\nAnswer: x**(-304\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = s + 288. Suppose -s*j + 68*j = -368. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14646830*x - 433708806 with respect to x.\nAnswer: -14646830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-90)\/(-27) + -3 - (-52)\/6. Suppose s*k = 2*k + 28. Suppose -395 = -k*h - 3. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 16) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in i**2 - 38 - 36 + 74.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 74*-2.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2309478 is divided by 415.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 24*t**2 - t - 1. Let h(c) = 247*c**3 + 124*c**2 - 6*c - 5. Determine h(d) - 5*z(d).\nAnswer: 247*d**3 + 4*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 1 - 8*o**2 - o - 2 + 17 - 6 - o**3. Calculate m(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -71*w + 463*w**2 + 260*w**2 - 111*w**2 - 46*w**2 - 1 wrt w.\nAnswer: 1132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2304214738 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11.1 + -6.1. Let d be (2*-1*1)\/(-7). Let f = -29\/2 - -14. What is the closest to d in b, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 451\/(-1353)*1\/5*-3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -10 in 0.1, 0.04, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 5*i + 340, 0 = -4*i - 5 + 9. Calculate the remainder when t is divided by 64.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -n - 10*n + 29*n + 14*n.\nAnswer: 32*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 5, w: 13}. Give prob of picking 2 w and 2 t.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.255 - 0.80613.\nAnswer: -1.06113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1604 + -1379. What is the highest common divisor of 165 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-17)*b)**(-11)\/(b\/(b**4\/b)*b*b**21) assuming b is positive.\nAnswer: b**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13470558 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -32.2 - -32. What is the fourth biggest value in 1, k, 19, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3749 minus 2710.4?\nAnswer: -6459.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30\/(111\/(-1147)*5).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-7)\/(-9)*3*(-24)\/(-8). Solve 0 = -3*s + c*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the second derivative of 53*t**6\/10 - 95*t**3\/6 + 50*t. What is the second derivative of m(q) wrt q?\nAnswer: 1908*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 2*c = 0. Suppose 4*h - 3*h - 2 = c. Suppose -h*i + 15 = i. Solve -6*v + 20 = -v - i*u, 2*v + u + 1 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -128 + 4?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*m + 2*m - 13*m)*(3 - 1 - 4)*(4 + 1 - 6).\nAnswer: -34*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i**2 - 4*i**2 + 3*i**2)*((-2 + 2 + 2)*(-2 + 3 - 6) + 1 - 3 + 11)*(-14 + 28 + 30).\nAnswer: -88*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*y - 499 = 13 + 356 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 830037 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1094546 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/7*(-7 - (-385)\/(-22))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 687 divide 4946400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the second derivative of -5\/2*w**2 + 0 + 7*w + 11\/12*w**4 + 0*w**3. What is the first derivative of p(d) wrt d?\nAnswer: 22*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000258125686 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3265 = 30*x - 2285. Calculate the remainder when x is divided by 83.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 10*q + 143. Give x(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3817 and 512519.\nAnswer: 5637709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -103 - -104. Which is smaller: p or -2\/271?\nAnswer: -2\/271","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the third derivative of 1\/24*i**4 + 0*i + 1\/6*i**3 + 2*i**2 + 0. Calculate the smallest common multiple of 8 and d(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 353365 is divided by 833.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -15\/122582936 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -564, 640, 1844, 3048, 4252?\nAnswer: 5456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is c45218 (base 15) in base 9?\nAnswer: 18503515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (179 + 15 + 77)*(3 - 3 + 2)*(3*o - 3*o + 2*o) + (-2*o + 3*o + o)*(3 + 1 - 5).\nAnswer: 1082*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 128302301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2949 = 110*q - 12418 - 11101. Suppose 0 = -3*i - 17 + 149. Calculate the remainder when q is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 0.643  (c) -1\/8  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.1 + -0.3. Let t be (10\/(-45))\/((-4)\/(-6)). Which is bigger: p or t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3694995107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42326.65 microseconds to nanoseconds.\nAnswer: 42326650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2006, -2008, -2010, -2012?\nAnswer: -2014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m - 52*r + 50*r + 5516, m - 3*r = 2762. Is 77 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4928 and 431861056?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -p - 1591, -5*d + 1611 = -3*d + 3*p. Calculate the highest common divisor of d and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 divided by -1116691.\nAnswer: 22\/1116691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 441450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 307.264 to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -348.889771 rounded to 0 dps?\nAnswer: -349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -4*s - 3*f, -8*f + 3*f = 15. Find the third derivative of -7*c**3 + s*c**3 - c + c + 3*c**2 wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 46*f - 15. Let x(q) = 46*q - 17. Give 6*o(w) - 5*x(w).\nAnswer: 46*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 + -5. Solve 3*l + 2*p - 10 = -3*p, q*p = -4*l + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand h**2 - h**2 + 2*h**2 + (-4 + 2*h + 4)*(3*h - 2*h - 3*h) + 13*h + 9*h**2 - 13*h + (-2*h**2 + 0*h + 0*h)*(1 - 4 + 4) + 16*h + 3*h**2 - 16*h + 2.\nAnswer: 8*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 310.351 - -1.849. Let r = n - 312. Let t be 48\/27 - (-2)\/(-1). Which is the third smallest value?  (a) t  (b) 3  (c) r  (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 + 11 - 2*d + 0*d - 20.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 47322889 to the nearest integer?\nAnswer: 6879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 313282165 to the power of 1\/2, to the nearest integer?\nAnswer: 17700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 166.9 take away -29353?\nAnswer: 29519.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - i + 33 = 0. Suppose -5*f + i = -3*p, -2*p - 3*p - 11 = -f. Let c(m) = -9*m. Let y(x) = 4*x. Let k(w) = p*c(w) - 5*y(w). Give k(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n - 3*n + n)*(683 + 595 + 754 - 561 + 1003).\nAnswer: -4948*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5 + -4 + 8)*(1 - 360). Suppose r - 54 = 5*k. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13578*s**2 - s**3 - 3*s**3 + 2*s**3 + 13306*s**2 - 24455*s**2.\nAnswer: -2*s**3 - 24727*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) 0.4  (c) -187  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 36193 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 14996 or 14994?\nAnswer: 14994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (8160\/1904*(-14)\/16)\/((-130)\/16)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -15 - -22. Let g(j) = -j + 10. Let c be g(8). Let z be c\/h + 10\/14. Put -3, z, 5 in descending order.\nAnswer: 5, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 428 divide 232370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2556104 + -28.\nAnswer: 2556076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 57*n**2 - 53282*n + 12848710 with respect to n.\nAnswer: 114*n - 53282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -821.7  (b) 2\/87  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/(-1)*70\/(-6). Let x = 4 - -10. What is the greatest common divisor of x and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -80.58 - -5.58. What is the third smallest value in c, 2\/13, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/(-252))\/(((-208)\/216)\/(-26)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -55 in 1.5, -2, 4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2\/11 + 411*o - 4646392\/11.\nAnswer: (o - 863)*(o + 5384)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -95 + 385*d + 3*d**2 + 1352*d + 85 + 11 to y*d + o*d**2 + p and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11 and 3233879.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 7\/8 of a day?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-1 - 6)*(-26)\/(-4) and 43\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*b**2 - 4*b**2 - b**3)*(7*b - 4*b - b) - 2*b + 2*b - 2*b**4 + 8*b**4 + 11*b**4 - 4*b**4.\nAnswer: 11*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, l: 3, q: 1}. What is prob of picking 1 x, 1 q, and 1 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-26 - 1) + 368 + -341 + -9 + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n - 1. Let i(q) = -2*q - 2. Let h be (1\/(-3))\/(1\/(-3)). Suppose -2*x = j + 8, 2*j - 13 = x + h. Calculate x*i(p) + 11*d(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*g - 90 = -28*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q - 116 - 8*q**2 + 0*q + 121 - 81*q**2.\nAnswer: -89*q**2 + q + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wrdd when four letters picked without replacement from wddddrdwddddddw?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 580 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 65 - -19. Let t = y + -22. Solve -6*u**2 + 3*u**4 + t*u - 62*u + 3*u**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 37139190 to the nearest 10000.\nAnswer: 37140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 27855.703 - 27871. What is l rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 82*k + 46. What is the hundreds digit of v(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3\/7 - -16\/21. Let a = -0.8 + 0.6. What is the second biggest value in 1, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1944, 7605, 17008, 30129, 46944, 67429?\nAnswer: 91560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*m - 50*m = -20*m - 259740000. Round m to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 72 and 4078746.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -21*t + t. Does -6\/61 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes after 4:07 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*o - 32*o + 8*o - 10 + 10*o as p*o + i and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9011925 divided by 15.\nAnswer: -600795","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r. Let i(b) be the third derivative of b**4\/2 - 9*b**2. Calculate w(i(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -33 + 22. Let s = 26 - 42. Let j = u - s. Which is the third biggest value?  (a) j  (b) -3  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 2\/15*g**2 + 4\/15*g = 0. What is g?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16)\/(80\/(-10))*(-10)\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 173*c + 384*c = -122*c - 38024 for c.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9\/46 and 25\/9?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 9\/(-6)*64\/(-6). Suppose 2 = -y - 7. Let l = y + b. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -242145 take away -4?\nAnswer: -242141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2167\/253 - (-1 + 0). Let v = b + -18746\/1955. Let g = -63 - -63. Is v greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -19*c - 3. Let j(f) = -f - 4. Let x be j(-2). Let o be t(x). Let g = o + -737\/21. Are g and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**4\/k*(k*(k\/((k**(3\/5)\/k)\/k)*k)\/k)\/k*k*k)\/(k**2\/k)**(-15) assuming k is positive.\nAnswer: k**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 2 + (-2 - (0 - -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -769.7 - -770. Let u = -1.99 - 0.01. Let d = u - -1.9. Put 4, f, d in ascending order.\nAnswer: d, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/4 + (-3)\/24*-4. Suppose n = -3*a - 15 + 6. What is the tens digit of -22*5\/(a + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 2*h + 4. Let t = h + 2. Calculate the remainder when ((-4)\/(-6))\/(4\/6) is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 29674 and 0?\nAnswer: 29674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12 - 62 - -15) + 116 + -233.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -71*s**2 - 2. Let v(a) = -6*a. Give b(v(n)).\nAnswer: -2556*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-205)\/(-84))\/(-5) + 4*1 + (-54264)\/15827?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1043 + -1?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 124108, 124107, 124106?\n\"Answer: -l + 124109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*r**3 - 18*r**3 - 78*r - 5*r**3.\nAnswer: -51*r**3 - 78*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 6 + 0)*(-52 - 10*k + 52) + 8 - k + 7 - 4 as s + j*k and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 + 2. Let s be f + 6 - (4 - 2). Suppose -3*w + 4 = -s. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in 5, 20\/3, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**30\/(q*q\/(q\/(q**(-1)\/q)))*q**(-3\/10)*(q\/((q**5\/q*q)\/q))\/q*q assuming q is positive.\nAnswer: q**(277\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129*o = -38*o + 41*o + 1260 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b**5\/21 - 22*b**4\/3 + 1714*b**3\/21 - 794*b**2\/7 - 3504*b\/7 - 2088\/7 = 0.\nAnswer: -87, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 2:32 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the first derivative of -425*f**2\/2 + 7871. Let z(v) = -5*v. Calculate j(z(u)).\nAnswer: 2125*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**2 + 127*u + 436. What is the thousands digit of q(43)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 2571142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -2*v - 3*c + 6, -5*c - 4 = 2*v. Suppose -v*f = -0*f - 78. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4813\/8 not equal to 601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-1)*n)**(-11\/4)\/(n**1*n*n**7)*((n**(-2)\/n)\/((n\/n**(-2\/13))\/n*n))**15 assuming n is positive.\nAnswer: n**(-3851\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*p**3 - 106920*p**2 - 571594320*p.\nAnswer: -5*p*(p + 10692)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2148*m + 1770 = 2266*m for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the second derivative of -11*r**3\/2 + 65*r**2\/2 + 1909*r. Give z(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -61714?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 289\/(-1156) + (-109)\/(-24)*3 - 14\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(35)\/sqrt(7))**2 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**0)**(16\/11)\/(x**(2\/3))**34 assuming x is positive.\nAnswer: x**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 32\/5 of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**2 + 38*h + 37. Let u be a(39). What is the nearest to -6 in u, 25, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-3)\/4)\/((-36)\/96). Suppose -z*n = 2*n - 24. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 42388320 and 69680.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -2*y - 6. Let z(i) = -i + 2. Let d(m) = 2*m - 6. Let a(n) = -3*d(n) - 8*z(n). Calculate a(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.2 + 0.2. Let i = k + 4. Which is smaller: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from {l: 12, o: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 0, -3\/5, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11948*y**2 + 3147*y**2 + 2503*y**2 + 3153*y**2 + 3148*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (30\/(-7))\/(46\/(-161)). Suppose 9*z - 4*z = 0. Suppose z*p + l = p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 216611765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1827?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 4*r + 0*r**2 - 3*r**2 - 17*r + 13*r. Let f(u) be the third derivative of 0*u**4 + 0*u**3 + 0*u + 6*u**2 + 0 + 1\/12*u**5. What is v(f(d))?\nAnswer: -75*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16762 - 16754. Solve -o - 4*s + 1 + 3 = 0, -v = 4*o + 4*s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of b**2*t**3 - 2*b**2*t**2 - 71189*b**2*t + 2*b**2 + 7228*b*t**3 + 48*t**3 - 2*t**2 - 2*t wrt t.\nAnswer: 6*b**2 + 43368*b + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1324944 and 4656?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**3\/2 - 5459096*b**2 - 29801718219021*b\/2 + 29801740055409.\nAnswer: -(b - 2)*(b + 5459097)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -312 (base 11) to base 8.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes after 12:32 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 551998 to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3618210?\nAnswer: 2, 3, 5, 120607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*m**3 + 13*m**3 + 17*m**3 + 0*m**3 + 3*m**3 - m**3 + (m - 1 + 1)*(m**2 + 3 - 3) + (-3*m + m + m)*(1 - 1 + 2*m**2).\nAnswer: 34*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 divided by -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -39 not equal to -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the first derivative of -r**6\/12 - r**5\/10 + 3*r**4\/8 + r**3\/6 - r**2\/2 - 3. Determine d, given that k(d) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -43 - -44. Suppose -31*n = -32*n - v. Let g(s) = -119*s + 4. Does 14 divide g(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 134f (base 16) to base 13\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -189104, -189371, -189636, -189899, -190160, -190419, -190676?\n\"Answer: l**2 - 270*l - 188835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o + o - 2*o)*(-o + 0*o + 0*o) + (-3*o**2 + 6*o**2 - 2*o**2)*(-9 + 21 + 4).\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(567) + -2 + sqrt(567) + (sqrt(567)*-4*-2 - sqrt(567)) + (1*sqrt(567) + 1 + 4)*-6)**2.\nAnswer: -1944*sqrt(7) + 6399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 + 20*d**2 + 32*d - 36. What is the tens digit of f(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11137, -89140, -300861, -713158, -1392889?\nAnswer: -2406912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.0732, -0.5, -0.2 in ascending order.\nAnswer: -0.5, -0.2, -0.0732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 438006 divided by -73001?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 0 - 4 + 2 + 3*r - 2. Calculate b(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + sqrt(275) + -2 - sqrt(11) - (sqrt(11) + (-2*sqrt(1584) - sqrt(11))))*6.\nAnswer: -12 + 174*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -4*y**2 + 5*y + 1. Let v be x(-2). Let i = 56 + v. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 7\/4 of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 - 9*u + 16. What is r(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 2433*q + 6179*q - 25230*q + 7426*q. Let o(s) = s. Give v(o(u)).\nAnswer: -9192*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -3*d**2 - 4*d - 93. Let i(r) = -5*r**2 - 7*r - 187. Determine -4*i(t) + 7*j(t).\nAnswer: -t**2 + 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 - 5)*(4*o - 5*o - o - o + 5*o - 3*o + (5 - 1 - 3)*(3 - 2*o - 3) - 2*o + 0*o + 6*o + o + o + 0*o).\nAnswer: -21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/18 + 0 - 1 and 141\/2115*118\/4?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 11*z**2 + z. Suppose 67*f = 65*f - 2. Calculate q(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - -22. Suppose 41*v = 62 + 184. What is the smallest common multiple of x and v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 280981115 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 22 = 5*n, -2*p - 4*n + 10 = -10. Calculate the remainder when 4\/p - 82\/(-3) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25 + (-1 - -14 - 27).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71880106033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, y: 1, k: 1, a: 1, l: 1}. Give prob of picking 1 a and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -207 - 618 = 217*l - 160 + 1071 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-1092)\/(-1365))\/(-1 + (-11)\/(-10)). What is the greatest common factor of b and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -161 or 142\/37?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -676a1 (base 14) to base 8\nAnswer: -752215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a microgram in nanograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -37 + 106. Calculate the remainder when k is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 5\/6 of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2012041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1824, -3597, -5322, -6999, -8628?\nAnswer: -10209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 - (-16)\/14)*-3. Suppose -11 = 2*a - 21*c + 18*c, 0 = 2*c - 2. Which is smaller: f or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 34 * 5\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18*133\/(-114) - 5.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 58 - 50. Calculate the least common multiple of v and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 65279 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 2316440.\nAnswer: -1\/463288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -85 - -170. Let a = v - 83. Let x be (24\/72)\/(1\/(-2)). What is the second biggest value in a, -7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 60 + 56)*(3*h - 1 + 0 - h).\nAnswer: 230*h - 115","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/14 and 0 - (2 - (-89)\/(-10)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the second derivative of -o**5\/10 - 13*o**4\/4 + 19*o**3\/6 - 3*o**2 - 28*o - 2. What is the remainder when 82 is divided by p(-20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 44238470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 123 - 119. Let r = 12.7 - 13. Which is the nearest to 0.2?  (a) -5  (b) m  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2677998 and 420.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5437262362?\nAnswer: 2, 7, 277, 200297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 5, x: 9}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1418*x + 440426 - 440426)*(-4*x + 3*x + 2*x).\nAnswer: -1418*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59556*j - 2 + 2 - 6*j**2 + 0.\nAnswer: -6*j**2 - 59556*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 39.19283 and -0.2.\nAnswer: -7.838566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - 5*d - 62 = -22, -4 = d for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the second derivative of -q**8\/6720 + q**7\/504 - q**6\/360 - q**5\/30 + q**4\/6 - 4*q. Let r(y) be the third derivative of g(y). Calculate r(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 4*v + 14 = 3*s, -v - 2 = 0. Let i(n) = 4*n**3 - 2*n**2 - 2*n + 1. Calculate i(s).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 348667 and 31697.\nAnswer: 348667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1011 - 689. Let g = u + -316.35. Round g to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = 11*u - 66. Let b be u\/45 - 140\/(-75). Suppose 5*x + 23 = 3*h - 0, 4*h - b*x = 12. Solve l = -5*z, -l + 5 = -z - h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/6438 and -31\/239205?\nAnswer: 13873890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 4*v - 339 = 0, -2*f = -0*f + 5*v - 233. Suppose -2*c - o - f = -4*c, -2*c - o = -111. What is the highest common divisor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -2961*a + 5200. Determine r(2).\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 61 in 4, 3, -5, 55.2?\nAnswer: 55.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1009\/2338 + 1\/334. What is the nearest to -1 in h, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -162, 0.3, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 2*d - 2 - 0, u - 14 = 2*d. Suppose -p = -u*x - 2705, 5*p = 2*x + 2*x + 13525. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4403025 + 5?\nAnswer: -4403020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 53986, 215880, 485712, 863488, 1349214, 1942896?\nAnswer: 2644540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 936979543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {e: 3, u: 2, h: 4, p: 2, n: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 - 11. Let s = -7.05 - m. Let a = 3.95 - s. Sort 3, -0.1, a in descending order.\nAnswer: a, 3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 447029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 5*o**3 - 4*o**2 - 8*o + 7. Let s be i(-2). Let y = -40 + 1. Let t = s - y. Let j(x) = -x**3 + 7*x**2 - 7*x + 4. What is j(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-66.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 759143 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3323749, -26589977, -89741171, -212719813, -415468385?\nAnswer: -717929369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 58287 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -0.2, 2\/9 in decreasing order.\nAnswer: 2\/9, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/2 - 3\/2. Let g(f) = -4 - 2*f**2 - 4*f - f**2 + 4*f**2 + 8*f**3. Let m(b) = 9*b**3 + b**2 - 5*b - 5. Let y(c) = 6*g(c) - 5*m(c). What is y(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 3*l - 26. Suppose 0 = 4*a + 2*a - 5*a. Suppose -c - 8 = -2*c - 5*n, a = 4*c - 4*n - 8. What is the lowest common multiple of c and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 + 2*b - 68*b - 185 + 185 + (-2 - 2 + 3)*(-4*b - 2*b + 4*b) + 1 + b - 1.\nAnswer: -63*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c**3 + 0 + 0)*(c - c + 2*c)*(-439 + 80*c + 373*c + 438 + 0 + 0 + c + (-1 + 1 - 2)*(-3*c + 7*c - 3*c)).\nAnswer: 1808*c**5 - 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4.13722 + -0.13722. Let o = -0.5 + 0.8. What is the fourth biggest value in n, o, -17, -5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -130139 divided by 719?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14339 + 14276.53. What is a rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = -y - 2*y. Let v be 3*-9 - (-15 - y). Is (-26668)\/v + (-4)\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:38 AM and 12:06 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 15, 4, -51, 3.\nAnswer: -51, 0, 3, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f + 14. Let g be a(-13). Suppose 4*r = -5*d + 26 + 4, 2*d + g = r. Factor -5*t + 5*t**r + 55*t**2 - 10*t**4 + 51*t**2 - 96*t**2.\nAnswer: 5*t*(t - 1)**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6050 is divided by 1511?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**8)**26 assuming y is positive.\nAnswer: y**234","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-seven fifths of a hour in seconds?\nAnswer: 41040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 4, 178, 466, 874, 1408, 2074?\n\"Answer: a**3 + 51*a**2 + 14*a - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24)\/20*(-1)\/15.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.0899 to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 52 and 10296.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/6)\/(2*2\/(-48))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + p = 15. Suppose -2*q = -2*x + 7*x - 33, -5*x - p = 0. Suppose -6*m + 5*m + 2*c + 8 = 0, 3*m = 3*c + q. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 38584661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.7 + -1.7. Let q be 3\/(-12) + 10\/(-24). Are f and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -994*n - 282030000 = -1015*n. What is n rounded to the nearest one hundred thousand?\nAnswer: 13400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/(-1) + (-6)\/(-2). Suppose -4 = -v, -2*m = 2*m + 5*v - z. Let y be (-4)\/(-6) - 44\/12. Is y less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/9, -0.08, 6674?\nAnswer: 6674","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26, -10, 4, -3, -2 in decreasing order.\nAnswer: 26, 4, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 2*u. Suppose -3*w + 1 + 8 = 0. Let a(l) = -3 + w + l**2. Give a(j(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q - 1. Let l(p) = -3*p**2 + 30 - 5*p**2 - 25*p + 0*p**2 + 0*p**2 + p**3. Let g be l(10). Let u(a) = -5*a**3 - 20*a + 20. Calculate g*o(h) - u(h).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 2 + (5 + 2 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-6*((sqrt(2299)*-2 - sqrt(2299)) + sqrt(2299)))**2 + 3.\nAnswer: 331059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(3\/10)*w)\/(w\/(w**16\/w*w))*(w\/(w\/(w\/(w*w*w*((w**(1\/6)\/w)\/w)\/w))))**(3\/8) assuming w is positive.\nAnswer: w**(1329\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -12?  (a) -0.2  (b) 0.3  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*1093.552\nAnswer: 218.7104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -92*t - 105*t + 34*t - 111*t - 67*t to the form n + l*t and give l.\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 - 117*l**3 - 9 + 283*l**2 + 22.\nAnswer: -117*l**3 + 283*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 11269.57703 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13502, -54006, -121508, -216002, -337482, -485942, -661376?\nAnswer: -863778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -37, -4 in decreasing order.\nAnswer: 10, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from gffvfvxffssvsfvvg.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -9488, -10874, -12252, -13622, -14984, -16338?\n\"Answer: 4*b**2 - 1398*b - 8094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11 - -16. Suppose 3*s + 10 = -o*j + 56, -5*s + 3*j = -20. Solve s*h - 20 = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -30*l + 45. Let h(c) = 2*c + 10. Calculate g(r) - 4*h(r).\nAnswer: -38*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000049513 to seven decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cyy when three letters picked without replacement from {c: 2, r: 3, y: 2, l: 8}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, -4, -127, 5 in increasing order.\nAnswer: -127, -5, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -436.\nAnswer: 1\/436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2895\/4, 0 in ascending order.\nAnswer: -2895\/4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22622242, -22622239, -22622236?\nAnswer: -22622233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 63326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - (-132)\/(-24))*8800\/(-770).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9484 divided by 27757.\nAnswer: 9484\/27757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 163347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 374 = -3*w + 8*w - 4*w. Calculate the remainder when w is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/468 and (-667)\/(-2262) - (-21)\/(-56).\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*y**3 + 7*y**3 - 202*y**2 + 344*y**2 + 332*y**2 + 3*y**3 in the form h + z*y**2 + n*y + d*y**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(8\/(-5)))\/(61\/(1686528\/720))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 36 = -3*b, -3*m + 2*b - 51 + 52 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 81117 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 23662 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 364 and 52.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 96.99752s?\nAnswer: 96997520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76)\/(sqrt(4)*-2) + 4)**2.\nAnswer: -4*sqrt(19) + 83\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from {l: 6, q: 13}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x - 2*x = 18. Let i(y) = -y**2 + 5*y - 4. Let g be i(3). Suppose -g*a + 160 = 3*a. Solve -5*k = -4*l + a, -l = 2*k + 2 + x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - 2*f + 3*c - 5 = 0, -5*f + 5*c + 5 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -55b81 (base 13) in base 3?\nAnswer: -21220122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(432) + 0) + -4 + 2 + sqrt(432) + 1 + -5)**2*-6.\nAnswer: -65016 - 4320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1194?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*0\/4)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o - 12. Let s be h(0). Let q(p) = -p**3 - 12*p**2 - 3*p - 12. What is the units digit of q(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v - 3*f + 330, -3*v - 4*f + 332 = -0*v. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and 0.21103.\nAnswer: 0.084412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 14 = 21. Let l(n) = -n + 1. Let t be l(4). Let h = t + y. Solve -h*c - 3 = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 1.5, 39.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -151 - -155.88. Let d = 0.12 + g. Let p be ((-60)\/450)\/(4\/(-5)). Which is the third smallest value?  (a) d  (b) p  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 2*f + 21. Let t be l(-11). Let s be (-12 - t)\/(4 + 9546\/(-2388)). Let v = s + 7749. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.631 + 0.619381. What is t rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 42  (b) 0.04  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 9*z - 130. Let j(f) = -11*f + 130. Give -5*c(o) - 4*j(o).\nAnswer: -o + 130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 280750 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**3 + 24*x**2 + 20*x - 899. Let i be d(-21). Let g = -0.3 + 0.3. Let h = 2 - g. What is the third biggest value in 0.6, i, h?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 3*r + 2*q, r = -18*q + 23*q - 28 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j - 2. Let m be i(-4). Suppose 0 = -6*o + m*o + 28. Calculate the remainder when 32 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**(-9))\/(d**(-2\/21)*d) assuming d is positive.\nAnswer: d**(191\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3809263*l**4 + l**3 + l**2 + 16449780*l - 2 wrt l.\nAnswer: -45711156*l**2 + 6*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 6, l: 4, c: 4, i: 3}. Give prob of sequence liir.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*h**3 - 8*h**3 - 41*h**3.\nAnswer: -95*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 17 - 15. Let b(j) = 3 + u*j - j - 3. Let l(g) = -7*g**2 + 3*g**2 - 5*g**2. What is b(l(k))?\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 272\/(-8) + (-8)\/(-7 - 285\/(-45))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 175*a + 1452. Let j be v(-8). Let o be (-4 + 4 - 4) + 2 - -119. Calculate the greatest common factor of j and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -9, -3, 4 in ascending order.\nAnswer: -9, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7452295*n**2 + 665441*n**2 - 699180*n**2.\nAnswer: -7486034*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (29 + -3)) + (3058 - 3091).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5368)\/(-88572)*66\/124.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 214 (base 13) in base 15?\nAnswer: 18a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of h**2\/2 + 99*h - 5. Suppose 19 = 2*j - 5*w + 6, -4*w = -j + 11. Let u(n) = n**2 - n - 2. Calculate j*u(i) - d(i).\nAnswer: -i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -67575, -78154, -88735, -99318, -109903, -120490, -131079?\n\"Answer: -u**2 - 10576*u - 56998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - 60\/(-11 + 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, -0.4, 2, -3953?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -81237 less than -81238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 315 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1241*k**4 + 4578*k wrt k.\nAnswer: -14892*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Express (h - 1 + 1)*(2 - 4 + 3)*(9 + 6 + 14)*(-h + 3*h - h) in the form w*h + c*h**2 + y and give c.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 8 - 4*z**2 + 2*z**2 - 2.\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9333489?\nAnswer: 3, 11, 282833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -86 - -85.852. Round p to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a + 207 - 193. Let s(w) be the second derivative of -w**3\/6 + 3*w**2 - 3*w. Calculate s(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 10*l = 8. Let k be 550\/143 - l\/(-13). Solve 0 = 2*a - 6*a + k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**3 + i**2 + 2*i - 2. Let d be v(2). Let o = -5 - -9. Let y(t) = t**3 - 5*t**2 + 3*t + 3. Let s be y(o). Which is bigger: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 11*u + 122. Let o be l(-11). Let f be o*(-2)\/(-2)*(12 - 13). Put -3, f, 4, -2 in increasing order.\nAnswer: -3, -2, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 99856 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-3)\/((a*a**4*a)\/a))\/(a**(-3)\/a)**(-6) assuming a is positive.\nAnswer: a**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5476 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m. Let c(u) = -24*u. What is -c(f) + 3*r(f)?\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -130.5962 to one decimal place.\nAnswer: -130.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15\/878 - 22525\/94824. What is the common denominator of 151\/120 and j?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 16251760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3082 + 3080. Let i = 0.27 + -13.27. Let f = i - -9. What is the third smallest value in f, 2\/15, y?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*g + 4*g + g)*(3*g - 4*g - g) - 4*g**2 + 4*g**2 + g**2 + (-7 + 10 - 7 + 5*g)*(9 - 2*g - 9).\nAnswer: -5*g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 8*n + 3*x - 857, -4*x - 153 = -n. Suppose -n - 140 = -5*m - z, -2*m = 4*z - 138. Let j = -63 + m. Which is smaller: -6 or j?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*u - 4*u + u)*((-12626*u - 899*u**2 + 12626*u)*(-2 + 0 + 5) + 2*u**2 + u**2 - 4*u**2) to m*u**2 + i + o*u + z*u**3 and give z.\nAnswer: 2698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 22*s**4\/7 + 628*s**3\/7 + 3240*s**2\/7 + 6128*s\/7 + 3968\/7.\nAnswer: 2*(s + 2)**3*(11*s + 248)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 92 = -0. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1 times -24.3148?\nAnswer: -26.74628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*j + 0*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2313, 7801, 16355, 27981, 42685, 60473?\nAnswer: 81351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, 26, 0, 4.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, z: 1, n: 1, c: 2}. Give prob of sequence xc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 5*g**2 - 30*g - 1111. Give t(-23).\nAnswer: 2224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13785 - -18906. Suppose 0 = -49*g + 52*g - f. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1564*v**4 - 268.\nAnswer: -6256*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(45\/6)*(-125)\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-573)\/382)\/((-3)\/(-18)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 88 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -28454.4034 to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -105*w**3 - 120*w**3 + 411*w**3.\nAnswer: 186*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 104917 is divided by 2512.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -4, -0.3, -1\/11, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -2*y**2. Let o(u) = 162*u. Determine h(o(m)).\nAnswer: -52488*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 140433000 - -312?\nAnswer: 140433312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1626)\/(-5691)*(-28)\/60?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -0*x + x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/14*(-2 - (3 - -2)). Let n be (-15)\/10 + 7\/2 - o. Solve 4*a = -n*f + 8, 2*f + 0*a - 8 = -4*a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 87 less than -193191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 446 divide 835316522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 131288.01?\nAnswer: -525152.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -43, -453, -1223, -2353?\nAnswer: -3843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -11. Let o be 53\/m + (-10)\/(-55). Solve -6*j + 2*j = -5*d, o = 5*d - 3*j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 239.5 - 1316.5. Let d = m - -1051.96. Let c = 25 + d. Which is bigger: 5 or c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 235\/2 - 116. Let l be 12\/21*(-3)\/18. What is the closest to l in -2, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 86, 85, 94, 119, 166, 241?\n\"Answer: s**3 - s**2 - 5*s + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 446, 3426, 11554, 27416, 53598, 92686?\nAnswer: 147266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-36)\/(-126)*(-7)\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6 and 1972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 944843 divided by -26\nAnswer: -944843\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, -5, 50, 637, 4, 1.\nAnswer: -5, -4, 1, 4, 5, 50, 637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -136887 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 - 0. Let x = 84 + -152. Let u = -71 - x. What is the closest to p in -3\/5, -2, u?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*m - 12*m - 8*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 83469383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5329*n**3 - 6*n**2 + 6*n**2.\nAnswer: -5329*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 107 = -3*r, 3*w - 15 + 61 = 2*r. Let y = r - 25. Solve z - y = -3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -2*n**3 + 7*n**2 + 5. Let g be s(4). Let c(f) = 57*f - 4. Let d(b) = -29*b + 2. Let l(w) = g*d(w) - 6*c(w). Let y(x) = -x. Calculate y(l(m)).\nAnswer: 23*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 43\/105 + 9\/35. What is the third smallest value in r, 2\/13, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16 and 3348?\nAnswer: 13392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 213977.\nAnswer: 213977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10726)\/2076 - (-7 + -2 + 1))*6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -292c - -2a60?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (2 - 4 - -13 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3*72\/(-135))\/((-4)\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 2*v = 3*g - 3, 2*g - 23 = -5*v. Let i = 19 + -9. What is the highest common factor of i and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12745110 (base 8) in base 15?\nAnswer: 3ba4c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -56*q**3 + 4*q + 61*q**3 - 4*q.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20, 33, 46, 59?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26, 148, 386, 770, 1330?\nAnswer: 2096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the first derivative of -12 + 1\/2*a**2 + 8*a. What is the derivative of s(b) wrt b?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 132903 is divided by 26355.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-19)\/(-342)*27*(-4)\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 8, 3, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.051 - -35.35.\nAnswer: 35.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -2*l**2 - 6*l + 8. Let n(x) = x**2 - 1. Let w(v) = h(v) + 3*n(v). Let c be w(5). Let g(i) = -i. Let f be g(5). Sort f, c, 3 in descending order.\nAnswer: 3, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*((-2)\/5)\/(8\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(375) + -1*(sqrt(375)*1 + sqrt(375)))*-4)\/((-1*sqrt(108))\/(-1*sqrt(9)*-4)) + 0)**2.\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -329, -626, -923, -1220?\nAnswer: -1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 184801703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 - 2)\/(5\/(-15)). Suppose -d*g + 10 = 2*g. Suppose -4*y - g*l = y - 4, 0 = -y - 3*l + 6. Solve y*p = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 + -1. Let g be 1\/(-3) + 13\/a. Suppose -5 = -2*b + g*q + 11, 4*q = 5*b - 28. Calculate the remainder when b is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l**4\/19 - 5114*l**3\/19 + 1676*l**2\/19 + 23856*l\/19 = 0. Calculate l.\nAnswer: -2, 0, 7\/3, 852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -64, -5, -199 in descending order.\nAnswer: -5, -64, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -39595725 smaller than -39595726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1263454, 1263459, 1263466, 1263475?\n\"Answer: f**2 + 2*f + 1263451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 465 + -465.0006307. Round r to 5 decimal places.\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one fifths of a microgram in nanograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40465*p - 90492*p + 50010*p.\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 2*w + 8 = 0. Suppose 5*l - 78*d - 312 = -75*d, -3*d = -l + 72. Calculate the least common multiple of w and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -328615, -3, -2 in ascending order.\nAnswer: -328615, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -2) + -6 + (-1 - -7) + 7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -697.58062 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 3*h**2 - 2*h + 3. Let r be v(-4). Suppose 61*u = r*u + 980. Is 30 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -32, -84, -148, -230, -336?\n\"Answer: -k**3 - 45*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2211, -4418, -6611, -8784, -10931, -13046?\n\"Answer: f**3 + f**2 - 2217*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 - 17*b**2 - 3*b - 42. Let c be p(-17). Let j = -6 + c. Find the second derivative of -18*i**3 - 6*i**j - 2*i**2 - 6*i + 2*i**2 wrt i.\nAnswer: -144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10 and 16042.\nAnswer: 80210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 4*x - 8. Let s be q(4). Suppose 0 = -2*h - 0*h + s. Solve -12 = -2*m - b, 8*m + 4*b = h*m + 28 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 2*c**2 - 18*c - 2. Let w be o(9). Is (w + -644 + -1)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3119929 to the power of 1\/3, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*c - 22792 = -22742. Solve 0 = -c*v + 8*v + 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1)*w**(-2\/11)*(w**0)**36)**(1\/7) assuming w is positive.\nAnswer: w**(-13\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 10*p**2. Let k(g) = 3*g**2. Let t(j) be the first derivative of 2*j**3\/3 - 10*j**2 + 24*j + 63. Let v be t(8). What is v*k(n) + 3*b(n)?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45*z + 124*z - 40*z - 45*z - 705*z**3.\nAnswer: -705*z**3 - 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t - 8*t - 40 = 0. Suppose -2*j + 21 = -j. Calculate the remainder when t is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes after 2:55 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes after 12:52 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1578884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2 times 77\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*x - 2*u - 1839 = -1649, -4*x = 3*u - 40 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -24, -49, -120, -261, -496, -849, -1344?\n\"Answer: -4*p**3 + p**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -2*f. Let l(a) be the third derivative of -1121*a**5\/60 + 221*a**2 + a. Calculate l(i(k)).\nAnswer: -4484*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.6594968 years?\nAnswer: 0.0006594968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -643.1 + -3.040341324\nAnswer: -646.140341324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 22\/2 + (-113114)\/11040 and -133\/660?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.353395 decades?\nAnswer: 42.4074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n = -0*n. Solve 2*t = -g + 2, 3*g + 0*t - 4*t - 6 = n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 33 + 278. Let c = h - -519. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 1862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0502*-4.29.\nAnswer: 0.215358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, -5, -0.4, 1\/37, 55, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1758 - (5 - (13\/(-13))\/(1 + 0)). What is the highest common factor of 6789 and h?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -8, 13 in ascending order.\nAnswer: -8, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zgrowvvz. Give prob of picking 1 g and 1 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 311301.18 minutes in days?\nAnswer: 216.181375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 6 = g, 42 = -20*g + 34*g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -w + 3*t + 54, 4*w = -t + 27. Solve 3*f + 3*q - w = 0, 2*f - 4*q = -9 - 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -68 by -11.\nAnswer: 68\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2464073741 to the nearest integer?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s + 5. Let i be o(0). Let v be ((-12)\/i)\/((-2)\/10). Suppose -3*m + 11 = -m - 3*k, 0 = -m - 2*k - v. Let r(l) = 4*l + 2. Determine r(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -20*t**2\/3 + 77796*t - 93352\/3.\nAnswer: -4*(t - 11669)*(5*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.5358988306 to 2 dps.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together -23.6019935 and 5.\nAnswer: -18.6019935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 - -7. Let j(m) = -m**2 + 2*m. Determine j(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -0*l - 4*x, -3*l = -4*x - 20. Suppose -b = l*b - 3715. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1262*r**3 + 4803*r**2.\nAnswer: 7572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 12022.14 millilitres?\nAnswer: 12.02214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 471, 470, 469, 468, 467, 466?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/23436314 and -37\/87813.\nAnswer: 210926826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, 83, -64, 2, -27, -3 in ascending order.\nAnswer: -64, -27, -3, 2, 4, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 334169 to the power of 1\/2, to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1\/6 + -1\/2. Which is the closest to 0.1?  (a) -3\/2  (b) z  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 33*f - 10 = -28*f, 11*c + 2*f + 95 = -9*c + 3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1516 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 3*o**4 + 2*o**3 - 28*o**2 + 42*o - 17. Let d(l) = -8*l**4 - 7*l**3 + 83*l**2 - 127*l + 52. Let i(p) = -2*d(p) - 7*h(p). Factor i(c).\nAnswer: -5*(c - 1)**3*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5756 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g**3\/4 + 15519*g**2\/4 - 15034986*g - 135629316 = 0. What is g?\nAnswer: -9, 7764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -5*(108\/20 - 3). Let t be 3\/(p\/86)*2. Let v = t + 72. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*d + 2*d + 111 + 555 = 29*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 4, o: 1, n: 7, c: 6}. Give prob of picking 1 f, 1 c, and 2 n.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4393, 8786, 13175, 17560, 21941, 26318, 30691?\nAnswer: 35060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12 + -4. Let q = -93.3 - -12.5. Let h = -81 - q. What is the closest to h in w, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -5262207*f. Let v(r) = 5386*r. Let j(d) = -3*b(d) - 2932*v(d). Let o(u) = -2*u. What is j(o(k))?\nAnswer: 10262*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 30311 - -13330?\nAnswer: 44141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15024710, -30049422, -45074134, -60098846?\nAnswer: -75123558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wkt when three letters picked without replacement from tkwnj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-42)\/(-147) + (-124)\/(-7). Suppose -2*r - 3*h + t = 0, -2*r + 5*h = -4*r + 10. What is the remainder when 26 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes after 10:16 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -32 + 32.000013148. Round j to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -19*m - 75*m**2 - 10*m**2 + 126*m**2 - m**3 - 36. What is the units digit of p(40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -3*(sqrt(80)*2 + -2 + 1))**2.\nAnswer: 96*sqrt(5) + 2884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (-1 - 30) - (4917 - 4925).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 763\/20 - 347\/5. Which is smaller: c or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 364047700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -187 rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*r**3 + 124*r**3 - 148*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oxoo when four letters picked without replacement from ooxoooxlxoxllooxool.\nAnswer: 25\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3914521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1457195 to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/27768565 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 - 32 = -6*c. What is the first derivative of -68*z**4 + 10*z**3 + 69*z**c + 13 - 78 wrt z?\nAnswer: 4*z**3 + 30*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 574 - 572. Let z(m) = 3*m**2 + 4*m + 3. Let o be z(-3). Suppose 6*b - o = 3*b. What is the smallest common multiple of g and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -125.496 - 0.1.\nAnswer: -125.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 944 and 0.1.\nAnswer: 94.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 19395350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -669, -1046, -1489, -1998, -2573, -3214?\n\"Answer: -33*n**2 - 278*n - 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -877 + 902. Which is greater: 0.12 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 1 + 8 - 3 + 2*y**2 + 7*y - y**2. Let l(a) = -3*a**2 - 2 - 3 + 0 + 2*a**2. Let b be l(0). Determine x(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 + 3.6. Let v = -1.4 - n. Let t = -36 - -39. What is the biggest value in t, 2\/3, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 570261.\nAnswer: 3, 433, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 989535 and 17425.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9 + 25. Solve f - 3*l = -3*f + 13, f - r = 5*l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30876 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -679*z - 684*z - 682*z - 688*z - 680*z + 3403*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 499481.89 to the nearest 1000.\nAnswer: 499000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -10*g. Let s(b) = -7*b. Determine j(s(d)).\nAnswer: 70*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*y = -16*y + 384. 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: Solve -3*i = z + 13, -4*i - 12 - 8 = 2*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*a**4*s + 6*a**4 - 952*a**3*s**2 - 64*a**2*s**2 - a - 4*s**2 wrt a?\nAnswer: 48*a*s + 144*a - 5712*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -313, -194, -71, 56, 187, 322?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6060153 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 3434303 (base 5) to base 15\nAnswer: 134bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7523784, -7523789, -7523796, -7523805, -7523816, -7523829, -7523844?\nAnswer: -7523861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 + -2 + 2\/(-143). Suppose 0 = 2*h + 4*b - 22, 3*b - 10 - 8 = -3*h. Which is greater: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.098 + -122.902. Let z = g - -91. What is the nearest to 0 in 3\/5, z, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2074*q - 2018*q + 1904 = 0 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -52\/12167821 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8768?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.03?  (a) -7208  (b) 70  (c) -2  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - (-9 + 17)) + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the third derivative of -q**5\/3 + 19*q**2. Let m(s) be the first derivative of -11 + 2\/3*s**3 + 0*s + 0*s**2. Give m(l(i)).\nAnswer: 800*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3857 and 5.048.\nAnswer: 19470.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 793 and 4565972.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 48603636 smaller than 48603636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 50*i**3 - 6*i**2 + 33. Let j be c(4). Suppose 0 = -5*b - 16*w + 15*w + j, -4*b + 4*w + 2524 = 0. Calculate the remainder when b is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of r**4\/4 - r**3 + 2*r**2 + 3*r - 2. Let d = 23 - 11. What is the remainder when l(4) is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -20 + 23. Is (0 + 1)*(1658 - p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0, -3, -6, -14, -5 in decreasing order.\nAnswer: 0, -1, -3, -5, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 - 5*p**2 + 9*p - 21. Calculate s(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 - 13. Let r(n) = -4*n + x*n + 3*n. Let h(g) = -28*g - 3. Let p(u) = 75*u + 8. Let z(v) = 8*h(v) + 3*p(v). Determine z(r(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 56\/21 + 28\/21. What is the derivative of -64*d**f + 135 + 29 - d**2 + d**2 wrt d?\nAnswer: -256*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 812612513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 - -10. Suppose t*m - 5*r = 3*m + 190, -3*r = 3. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 465 + -605.4. Let h = y + 140. Which is the third smallest value?  (a) -2\/3  (b) -20  (c) h  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6*l*m*u - 5*l*m + 18*l*p - l*u - 16218*l - 224*m*p*u - m*u - 3*m - 35*p*u - 340*p wrt l.\nAnswer: 6*m*u - 5*m + 18*p - u - 16218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 4 = -3. Let u(r) = 8*r**2 + 2*r + 1. Let t be u(w). Let m = t + -2. Sort 2, -4, m.\nAnswer: -4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1127 by 3.\nAnswer: 1127\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 0*h + 130 = 0. Is h a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 129384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6*(-7)\/(-105) + (-8)\/30.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -2787413+-0.4\nAnswer: -2787413.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -177.39 - -0.39. Let v = q - -177.00000007. Round v to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 2*u**3 + 12*u**2 - 4*u - 4. Calculate the smallest common multiple of r(-6) and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 3*a - 6. Suppose 0 = -3*h + x - 4*x, 12 = h + 5*x. Let o(g) = 2*g - 5. Give h*k(p) + 4*o(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2*y**2 - 34*y + 127. Calculate d(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 27 - 11. Suppose 2*b - 8 = 4*x, 4*b - k = -x - 4*x. Is x bigger than -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22 + 15 + 15 - (36 + -2)) + 8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 228 and 8094.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.01910431 to 3 decimal places.\nAnswer: 2.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((1 - 4 + 5)*(429 + 509 - 22) - 1 - 1 + 3 + 3 - 6 + 4)*(-1 + 3 + 5)*(2*x + 0*x - 3*x) to h + t*x and give t.\nAnswer: -12838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 + 2)*1\/4. Suppose 3*d - 5 = z. Suppose 0*g = -d*g + 62. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76 = -79*t + 113 + 443 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 1. Let j(z) = 3*z + 4. Let m(g) = -g**3 - 19*g**2 - 58*g + 10. Let q be m(-15). Give q*s(r) + 5*j(r).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 97739493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the third derivative of k**6\/120 + 13*k**5\/30 + 25*k**4\/24 + 10*k**3\/3 - 3*k**2 + 9*k. Calculate the least common multiple of p(-25) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 166 a factor of 145565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10425*y + 10491*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 + -2. Let g = -20 - -80. Is 1*g\/(u - -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f - 268 - 77. Let w = f + 63. Let m(q) = q**2 + 5*q + 1. Calculate m(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -131500 rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 3*o**2 - 2*o + 5. Let m be i(-4). Suppose 2*p - 17 = -r, p + p = 5*r - m. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7496 - -7493. What is the closest to 0 in -5, 118, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 291717?\nAnswer: 3, 32413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 2*h**2 + 10*h. Let i(x) = -9*x**2 + 210*x + 243. Let n(o) = i(o) + 3*r(o). Solve n(j) = 0.\nAnswer: -1, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7182105 or 64638952\/9?\nAnswer: 7182105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1999*q + 1002*q + 1001*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-45)\/36*(-35 + (-12903)\/(-165))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5144774 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.4+2875900917.8\nAnswer: 2875900918.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 6 = 12, 6*s + 12 = 10*s - 4*j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 167324 by -167324.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0299 plus 13?\nAnswer: 12.9701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10*m**2 + 4126*m - 2472.\nAnswer: -2*(m - 412)*(5*m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -50 - -56. Let d(k) = k**2 - 8*k + 20. Let b be d(u). Suppose -b + 33 = -5*a, -2*x + 3*a + 73 = 0. List the prime factors of x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 49 + -35. Let u = -19.3 + 0.3. Let c = g + u. Which is greater: c or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 259*l**2 - 262*l**5 + 254*l**2 - 513*l**2 + (-2*l + 2*l - l**2)*(12*l**3 + 309*l**2 - 309*l**2).\nAnswer: -274*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**3 + 10*h**2 + h - 13. Calculate s(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -729 - -1831\/2. Let r = a - 2575\/14. Determine d so that -12\/7*d + 2\/7 + r*d**2 = 0.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 + 4*c + 3. Let d be x(-5). Suppose 5*m + 2*s - d = 47, 3*m - 29 = -2*s. Solve 5*i - m = 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*v - 14*v + 246. What is the remainder when v is divided by 34?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 3*j**3 + 872622*j**2 - 8726445*j + 21816300 = 0?\nAnswer: -290884, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.038995 to four decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x + 1. Let d = 3 - 5. Let s = 8 + d. Let i(j) = -2*j**2 - 6*j - 6. Let z(h) = s*q(h) + i(h). Factor z(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-1774)\/(-6) - 164\/246 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 50.53 - 54.53. Which is the closest to -1?  (a) r  (b) 0.02  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j = 33 + 3. Let c = 0.02 - 4.02. What is the second biggest value in 2, j, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2873196265.\nAnswer: 5, 17, 2707, 12487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4409, -8522, -12633, -16742?\nAnswer: -20849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.04 in -1\/2, -2\/9, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -65, -0.5, -1\/4, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -53 and -32906.\nAnswer: 1744018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = -3*s + 5*m - 0*m, 4*s + 20 = -4*m. Let f be s\/196*-7 - 38\/(-8). Solve 1 - f = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the third derivative of -1\/6*f**4 + 1\/15*f**5 + 2*f**2 + 0*f**3 + 1\/42*f**7 + 0 + 0*f + 13\/120*f**6. Solve c(w) = 0.\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the second derivative of i**5\/4 - i**4\/4 + i**2\/2 + 3*i. Let n be p(2). Let d = 46 - n. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence azaa when four letters picked without replacement from {a: 4, z: 9, t: 4}?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -133 + 1476?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70983 = 24*p + 8307 - 217260. Is p a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15 or 653577?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -1401.\nAnswer: -5\/1401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2279 = 7*u + 2314 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 - 10*w**2 + 10*w - 249. Let z be m(11). Suppose 2*c - 27 = 3. Is 5 a factor of (z\/c)\/((-6)\/380)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/2 of a decade in years?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 2522*r**2. Let c(k) = 13*k. Give c(a(l)).\nAnswer: 32786*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(19) - (sqrt(1216) - (-2*sqrt(1216))**2)) + sqrt(171)\/(sqrt(9) + sqrt(9)*-3*-5).\nAnswer: -447*sqrt(19)\/16 + 19456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 67300 = -5*k, 5*k - d - 35342 = 31930. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, w: 1, p: 9}. What is prob of sequence wp?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -23 + 25. Suppose 4*s + 112 = 44. Let h = -17 - s. Solve h = o + x*o + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 23266 + -22330. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1560\/143)\/5*(-14)\/((-392)\/231)*6.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5315 is divided by 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24 - 10. Does 14 divide (-2 - -5)\/(2\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 627.2141 years in decades?\nAnswer: 62.72141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6*(-4 - (-27)\/6). What is the highest common divisor of 9 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -705\/301 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/242127 and 93\/107612.\nAnswer: 968508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26185174?\nAnswer: 2, 503, 26029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 4*j**2 + 729*j - 14173. What is p(-200)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14521 + -14521. Solve 2*m = 30*v - 32*v + 8, y = -4*v + 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 + 11. Let v = -10 + t. Let c(f) = -2*f + 3*f - 3*f. What is c(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 2631040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9372 divided by -3.\nAnswer: -3124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -5*d**2 - 10*d - 1. Let l(i) = 2450*i**2 - 634*i - 2. Let x(r) = -6*f(r) + 3*l(r). What is the second derivative of x(o) wrt o?\nAnswer: 14760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4231889 divided by -1?\nAnswer: 4231889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/246724996 and 15\/4.\nAnswer: 246724996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56\/60*-10*120\/32.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h = 3*h + 345. Is h a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -4 - (96\/28)\/(-1). Let u = 5 + -8. Let b be 2 + u*(2 + -3). Put b, y, 0.2 in descending order.\nAnswer: b, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 97*k + 15325. Give g(-158).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -30*z + 3424 - 793*z**2 - 67*z + 119*z - 25*z wrt z?\nAnswer: -1586*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s - 1. Let d be z(4). Suppose 0 = -3*h - h + 4. Let p(j) = 1 + 2*j + h - d. Calculate p(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 114 + -109. Suppose 0 = -j - y, -t - 3*t = -4*j - 1048. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 14*w - 33. Let c(z) be the second derivative of -5*z**3\/6 + 6*z**2 - 34*z. Let s(g) = -11*c(g) - 4*n(g). Let p(i) = -21*i + 1. Give p(s(y)).\nAnswer: 21*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(378) - (sqrt(42) + (sqrt(168) - -2*sqrt(168))))\/((sqrt(1200)*-3 + sqrt(1200))\/sqrt(8)).\nAnswer: 13*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5\/(5\/(-2))*(-5)\/2. Suppose y - 7 = -f, -2*y - 3 + 1 = -2*f. Solve -g*k + 30 = m + f*m, 12 = 4*m - 2*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p + 179 + 304 = 0. What are the prime factors of p?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84 is divided by 52?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1053)\/(-18))\/((-1)\/4). Calculate the common denominator of -6 + (-13)\/(q\/92) and 1\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 2*d**2 + 85*d - 1854100. Let r be v(0). Round r to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -115 + 115. Solve c*q - 1 = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 13*a - 80. Let f(j) = 11*j - 94. Determine -3*f(z) + 2*p(z).\nAnswer: -7*z + 122","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 269 = -218*t - 603 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the third derivative of -11*j**4\/12 + 5*j**3\/6 - 14*j**2 + 6*j + 10. Give h(-9).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/52289614 and -49\/11545?\nAnswer: 261448070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (148\/(-6))\/(-2 - 64\/(-36)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k - 8. Let i be f(13). Solve -i*n - 16 = -9*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-78)\/(-65) + (-2 - (2 + -3))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 + 18*o**2 - 39*o + 24. Let j be l(-20). Solve j*m = -2*i + 14, 5 + 4 = m - 5*i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 30.1, 4, -3, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 30*i. Let p(j) = 11*j. Give p(s(f)).\nAnswer: 330*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 65*i - 534. Determine o(-14).\nAnswer: -1444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = -p - 15, -2*q = -3*p - 6*q - 12. Suppose -3 = -n - p*n. What is the second derivative of 3 - 3 + 2*b**n + 2*b wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*j - 860 = 1494. Let w = 905 + j. List the prime factors of w.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.13?  (a) 0.3  (b) 19  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 2*n - 15. Let b be t(10). Solve 0 = z - 3*w - 2 - 9, 4*w = -b*z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 69, 54, 35, 12, -15, -46?\n\"Answer: -2*l**2 - 9*l + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 37268?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 4)*(-4*z + 2*z - 85 + 161).\nAnswer: -6*z + 228","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11 - -10.7. Which is the closest to 2\/3?  (a) -0.2  (b) o  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -85990 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 25781548?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n**4 + 25616*n**3 - 950790*n**2 - 3338900*n + 10276000 = 0. Calculate n.\nAnswer: -12845, -5, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h\/(h\/((h**7*h*h)\/h))*h*h)\/h)\/h*h**(-22))\/(h*(h*h*h\/(h**(-5)\/h)*h*h)\/h)**(-11) assuming h is positive.\nAnswer: h**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes before 9:44 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 165 divide 613470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -23\/4, -320, -330\/49?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 2*l + 2. Let f(y) = -y**2 - 11*y - 11. Let p(h) = 2*f(h) + 11*k(h). Let c(a) = -3*a - 23. Give p(c(b)).\nAnswer: -18*b**2 - 276*b - 1058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6 - 8 - -5) + 0. Put -29, s, -13 in decreasing order.\nAnswer: s, -13, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3036112 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4492 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 403*y - 6325 - 5765 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:42 AM and 5:59 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36411 = 905*g + 1167*g + 23677 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2 + 240*c - 5764.\nAnswer: (c - 22)*(c + 262)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 7*d - 262. Give y(-25).\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (18\/8)\/((-15)\/(-40)). Let l be 0\/1 + 6001 + -1. Let m be (0 - l)*(-20)\/x. What is m rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4112 (base 10) to base 4\nAnswer: -1000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/10*(4 + 1). Suppose 2*j = -x*s + 54, 2 = -s - 2. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 7\/3  (b) -5\/4  (c) -0.3  (d) 0  (e) -1233\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(-1*(-1)\/(-11)). Let y = o + -10. Let n(g) = 164*g**3 - 2*g**2 + g. Is n(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**2 - 9*z - 7. Let o be t(-7). Solve -o*g = -3*g + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 204 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5637681?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, 0.1, 0.4, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -7*u**3 - 6*u**2 + 6*u + 6. Let m(q) = -42*q**3 - 35*q**2 + 35*q + 35. What is 35*l(i) - 6*m(i)?\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (1 + (-1 - -5)) - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 140\/245 - 4\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 167818834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*r**2 - 5*r**2 - 10*r + 10*r.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 - m. Let j be 3\/(-2)*4\/(-6). Let g be c(j). Suppose g*a = 4*a - 100. Calculate the remainder when a is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5142717 divided by 1714239.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**2 - 5*r + 1. Let h be b(-9). Let t be (-2)\/(-9) - h\/(-63). Is 14 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000051597 rounded to six dps?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-1\/32)*((a*a\/((a\/(a\/(a**(1\/15)*a)*a*a))\/a)*a)\/a)\/a*a**(-2\/23)\/(a*a**13*a*a*a) assuming a is positive.\nAnswer: a**(-156601\/11040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3273, -6548, -9823, -13098, -16373, -19648?\nAnswer: -22923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (-9 - -4) - (-9 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s**(-1)*s))\/((s**(-5)\/s)\/s))\/(s**(1\/3))**(-13\/4) assuming s is positive.\nAnswer: s**(109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -x + 19, -c - 9 = 2*x - 50. Suppose -114 = 3*d - t - 4*t, 4*t - 177 = 5*d. Let s be (-6)\/d + (-136)\/x. Is -6 not equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 22 - 20 + 11*w**4 + 0*w**4 + w**3 as z*w**2 + u*w**3 + q + i*w + s*w**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 57  (b) -2  (c) -5  (d) -4.88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 + 33*t**2 + 2*t - 63. Let q be c(33). Let x(h) = h**2 + h - 1. Let i(m) = 5*m**2 + 4*m - 5. Determine q*x(d) - i(d).\nAnswer: -2*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwpw. Give prob of picking 2 w and 1 p.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -170 - -171. Find the common denominator of (21\/8)\/((-16)\/12 + b) and (-276)\/(-220) + 3\/15.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + 11. Let w(f) = 21*f**2 - 4*f + 3*f + 19 - 22*f**2 - 1 + 7*f. What is the units digit of w(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1649, -4383, -7117, -9851, -12585?\n\"Answer: -2734*l + 1085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 61*y**3 - 29*y**3 - 27*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -174 divided by -4.\nAnswer: 87\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -287 - -1583. Suppose 26*n = 23*n + h. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 2*x**3 + 305*x**2 + 446*x - 1043. What is f(-151)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -150361 + -4.\nAnswer: -150365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 3 + 16 + -20 + (-2 - -2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(304) + sqrt(304)*2)**2*2.\nAnswer: 21888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (17 - 23)*-1 - (60\/(-2) - -1). Solve f*d = -2*h + 37*d, -5 = -h + 2*d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -24*f**3 - 4*f**3 + 4*f**2 - 3 + 2 - f**3 as w + m*f**2 + y*f**3 + t*f and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*k, 3*h - h - 2*k - 216 = 0. Solve 7*x - 63 = -h for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q + 1. Calculate the smallest common multiple of 11 and k(-8).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f - 1. Let p(w) = -3*w - 3. Let z(m) = -p(m) + 2*r(m). Let x be z(-1). Suppose x*j + 2*j - 20 = 0. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + 4. What is the units digit of 3\/1 - j - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -406969 at most -406968?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 29\/8 - 153\/40. Which is the closest to 0?  (a) o  (b) -4  (c) 1  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 80*m - 95. Let k be n(5). Let d = k + -137. What is the remainder when d is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*u**4 - 2*u - 2*u - 2*u**2 + 3*u + 11*u**3 - u in the form i*u**3 + q*u**2 + s*u + w + b*u**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4452372 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 47 and 2142683?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1*(1\/(-1))\/(-1). Let f(k) = -153*k**3 - 3*k**2 + 2*k. Let u be f(1). Let x be (y + 0)*(u + 4). Round x to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 27*p + 23184. Calculate the smallest common multiple of p and 14.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 530*d**3 - 12*d**2 - 540*d**3 + 3*d**2 wrt d.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 2*m = 3*m - 14, 4*m = 3*l + 10. Let c(w) = -2*w**2 + w**2 + 0*w**l. Let o(d) = 5*d. Determine o(c(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 30*x**2 + 15*x - 20. Let f(y) = -y**2 - 3*y. Let j(u) = u**2 + 2*u. Let i(g) = 2*f(g) + 3*j(g). Let t(h) = -25*i(h) + o(h). Let t(d) = 0. What is d?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-280)*-50*-60 - (-13 - -1)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2393, -973, 1405, 4747, 9059, 14347, 20617, 27875?\n\"Answer: v**3 + 473*v**2 - 6*v - 2861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 9 - 6 = q, -4*q + 13 = 5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 - (-6 - 2) - (-20 - -8).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 1. Let s(w) = -w - 804. What is -r(l) - s(l)?\nAnswer: l + 803","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 + 16*k**2 + 10*k - 27. Let n be c(-15). Are n and 51 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/8 - 34\/8. Let g(q) = -q**3 - 6*q**2 - 6*q - 1. Let b be g(h). Let o = -2 - b. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -548*n - 2276 = 1492 + 8288 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - -101211102?\nAnswer: 101211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6.2 + -6.20038. What is y rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 366 - 364. Suppose 20*i = 18*i - b*l + 292, l - 3 = 0. What is the greatest common factor of i and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -64 - -62. Let q be 3 + ((-34)\/51)\/(a\/(-6)). Solve -7 - q = 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*r - 90. Let s = -11 - r. Let g = -11 + s. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 16) to base 15\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -17a8 - -1a447?\nAnswer: 1874a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8814*w - 8751*w = 189 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -g**2\/5 + 401426*g - 201428541845 = 0.\nAnswer: 1003565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*l - 4*o + 33, l + 5*o = -4 + 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*w**4\/3 + 98*w**3\/3 + 316*w**2\/3 - 176*w\/3 = 0 for w.\nAnswer: -2, 0, 1\/2, 44\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 5*u = -6*u. Put -1, -31, u, 5 in decreasing order.\nAnswer: 5, u, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(56)\/(sqrt(56)\/sqrt(7)*-3) - (3 + sqrt(7)*3 + (3*(sqrt(7) + -4) + sqrt(7) + sqrt(7))**2)) + -4.\nAnswer: -323 + 350*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 95846557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19632202*t + 19632202*t - 145*t**2.\nAnswer: -145*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -263 divided by 2\nAnswer: -263\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 52 + -52. Let c(o) be the third derivative of 3*o**2 + 1\/84*o**4 - 2\/21*o**3 - 1\/140*o**6 + d + 0*o + 2\/105*o**5. Factor c(j).\nAnswer: -2*(j - 1)**2*(3*j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m + 5*m = -488. What are the prime factors of m?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -61786 - 82555. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes after 3:34 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -166702*g + 3 - 5 + 2 + 1.\nAnswer: -166702*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01688701 rounded to 4 decimal places?\nAnswer: 0.0169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2\/3 + 412*v\/3 - 36815.\nAnswer: (v - 185)*(v + 597)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12753 is divided by 5911?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z and 1 p when four letters picked without replacement from zhzppzzzwpzpppzphpp.\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -311020, -311067, -311142, -311239, -311352, -311475, -311602, -311727?\n\"Answer: p**3 - 20*p**2 + 6*p - 311007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002684125803 rounded to 6 dps?\nAnswer: 0.002684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.03341 - -0.23341. Which is the fourth biggest value?  (a) y  (b) 1  (c) -4\/7  (d) -2  (e) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -806299 - 5*d**2 - 1034529 + 8820*d + 645816 - 2694608 = 0. Calculate d.\nAnswer: 882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -28 + 30. Let w be (-1)\/(-1*f\/10). Suppose w*s + 4*o - 318 - 270 = 0, 3*s - 4*o - 372 = 0. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 341273?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 3*n - 8 = 0, -1 = -2*x + 3*n + 3. Suppose j - x*j + 28 = 0. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = h + b, 0*b - 2*b + 73 = 5*h. Suppose -20 = 2*o - 120. What is the remainder when o is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 293 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 239\/(-2 + (-334)\/(-166)) + 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m - 140 = -5*v + 3*m, 68 = 2*v + 4*m. Calculate the greatest common factor of 48 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-2)\/132)\/((-19688)\/162426))\/(2\/(-4)*3).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -3, -564, 503, 5 in ascending order.\nAnswer: -564, -3, 5, 12, 503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*d + 2954 - 17122 = 0. Suppose -3*y = 4*v - 35, 3*v + 2*y - y - 30 = 0. Calculate the greatest common factor of d and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 308364488.\nAnswer: 2, 109, 353629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h + 11. Let t be (-8)\/(1*(0 + 1)). Let c be a(t). What is the closest to -1\/2 in -4\/7, -3\/2, c?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 + 0. Solve d*c - 8 = -0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n**2 - 31*n - 612. What is the remainder when 246 is divided by f(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) -0.5  (c) 1  (d) 2  (e) -2235  (f) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -54205 (base 13) to base 5\nAnswer: -14330221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 231 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3237876594?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1136998074?\nAnswer: 2, 3, 189499679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 41167299347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 21\/2*(407\/77 + 11) and 570?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -180, -254, -330, -408, -488?\n\"Answer: -a**2 - 71*a - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.0603 and 5.\nAnswer: 5.0603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**2 + 2*c + 4. Let a be w(0). Suppose 0 = -b - r + 2, 3*r = 2*b - 2*r - a. Solve -b - 8 = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 192.979 from 10.\nAnswer: -182.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of -m**6\/10 + m**5\/4 - m**4\/8 + 3*m**2\/2 + 4*m. Let n(g) be the first derivative of q(g). Determine k, given that n(k) = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -12, 36.7, -3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -20105 by -41763.\nAnswer: 20105\/41763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 7*r**2 - 835*r + 16674. Determine q(94).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 622*a - 15770 = 162*a + 45*a for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1334799 is divided by 110.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 60 and 105?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 9, i: 7}. Give prob of sequence yiiy.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*a**2 - 2*a**2 + a**2)*(-23 + 55 + 34 + 34 + 1) as z*a + v*a**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48.65076ug to tonnes.\nAnswer: 0.00000000004865076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -43104250 divided by 344834?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3231898?\nAnswer: 2, 1615949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.01 times -8020103\nAnswer: -80201.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -484*l**2*x**2 - l**2 + l*x**2 - x**2 - 4*x - 2 wrt x?\nAnswer: -968*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -51\/47505326 and -69\/30230662?\nAnswer: 332537282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1843*54\/162*(-6)\/2. What is the highest common factor of 19 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -172 times 3.904\nAnswer: -671.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes before 5:02 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - 430365?\nAnswer: -430364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4839 - 5832. Which is greater: m or -992?\nAnswer: -992","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -56 in 10\/123, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**2\/(y\/y**(-4\/3)))**(-38) assuming y is positive.\nAnswer: y**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bn when two letters picked without replacement from booonzblzqoz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -25*j - 639 + 514 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/(-7) + ((-7660)\/(-7))\/4. Calculate the greatest common divisor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**2 - 12*h + 38. Give g(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mccmmccccmcccm. What is prob of sequence cm?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87846*f**4\/5 - 14053253148*f**3\/5 + 13821054384*f**2\/5 + 231326748*f\/5 + 959862\/5 = 0.\nAnswer: -159977, -1\/121, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 1676 = 4*t, 5*c + 3*t - 2101 = 2*t. Suppose 5*v = -5*l + c, 3*v - 164 = -2*l - 0*l. What is the greatest common factor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -293 + 167. Let r be (x\/(-105))\/((-2)\/(-5)). Solve -r*h + 0*h = 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 5 = 5*z. Let j be (-3 - (1 - 6))*1. Solve z = -l + j*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -19.9 + 20. Let n = -0.100125 + i. What is n rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 - 38*v**2 + 36*v - 52. What is the units digit of i(-40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 2*k - 8, -7*q + 2*q = -5*k + 20. Suppose q = -4*t - 2225051 - 56735653. Let w = t + 21940176. What is w rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -33 + 16. Let m be 4\/(-2) - u - -1. Suppose j - 196 = -5*p, 5*j + 62 = -5*p + 962. What is the highest common factor of m and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.4 and -449.8.\nAnswer: -450.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 281 + -519. Let h = t + 238.7. Which is the closest to -2\/3?  (a) 0.4  (b) -8  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2761 - 2761. Let i be ((-4)\/(-5))\/(-10 - 0). Is m greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -257*r + 5. Let m(g) = 321*g - 6. Let v(s) = 5*i(s) + 4*m(s). Let f(u) = -2*u. What is 4*f(j) - 6*v(j)?\nAnswer: -2*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -62 + 61.92. Put u, -4, -1\/2 in ascending order.\nAnswer: -4, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*y = -31*y - 12. Let v be 2 + (-70)\/(-63)*y. Let r = -0.1 + -0.9. What is the smallest value in r, 0.5, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2, 17397513 in descending order.\nAnswer: 17397513, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*o + 4*o - 3*o)*(-o**2 - 2*o + 2*o + (-21*o + 7*o - 7*o)*(-29*o + 17*o - 7*o)) to q*o**3 + w + h*o**2 + b*o and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q - 142 = -2*u, -11*u - 3362 = -7*u - 52*u + 2*q for u.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gi when two letters picked without replacement from ggnamqaiaani?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - -7) + -1 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.4 - 0.1. Let y = 0.2 + s. Let j = y - -0.2. What is the third biggest value in -0.3, j, -1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 9.17626 millimeters?\nAnswer: 0.917626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -88\/1065 and -37\/54812.\nAnswer: 822180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -14980 - -74902\/5. Let k = -1\/13 - -3\/13. Sort 5, 3\/5, k, b.\nAnswer: k, b, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6980551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 18.48779 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -139*k**3 + 107*k**3 + 111*k**3.\nAnswer: 79*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*w + w. Is w < 2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1192 equal to -13100\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 13524 (base 7) in base 16?\nAnswer: e6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 + 25054*k + 250435. What is l(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/7 in -2, -1\/7, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 172\/8 + (-2)\/4. Suppose -5*t + 0*t = 0. Suppose -z = -3*y + 13 - 3, -4*z - 4 = t. Calculate the greatest common divisor of v and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1552 and 9118.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -15.798, 2\/3, 1, -1\/2, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 303030 + 10?\nAnswer: 303040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -38b (base 12) in base 5?\nAnswer: -4124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2632452 divided by -56\nAnswer: 658113\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 2806 = 3*n + 2817, 0 = -x + 9*n + 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2715*z**2 - z - 9. Let k be s(-10). Suppose -3*o = 3103499 + k. What is o rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6976 by 4.\nAnswer: -1744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2105327?\nAnswer: 7, 300761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108)\/((sqrt(9) - sqrt(63)\/sqrt(7)) + sqrt(9)) + sqrt(12) + sqrt(12))**2 + (sqrt(24)\/sqrt(2) + 0)**2 + 0.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (98\/28)\/((-105)\/60).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -72 and 108?\nAnswer: -7776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-3\/5))**(8\/11)*t**(-9)*t*t\/(t\/(t\/t**(1\/11))))**(1\/10) assuming t is positive.\nAnswer: t**(-207\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0108923 rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 592 - 592. Let w(m) = m**3 + 3*m**2 - 7*m - 6. Let n be w(-4). Suppose 0 = k + 2*t + 1 + n, 4*t = -8. Sort s, k, 1 in descending order.\nAnswer: 1, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53648 - 32*z - 5*z + 53648.\nAnswer: -37*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 2*w + 23. Let y be r(-9). Let v(m) = -18 - y*m - 20 + 41. Determine v(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 + -9.07. Let t = v + -0.3. Round t to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*b**3 - b**3 + b**3 + (2 + b - 2)*(-2*b**2 + 5*b**2 - 5*b**2) - 7*b**3 - 76*b**2 - 4*b**3 + 10*b**3.\nAnswer: -5*b**3 - 76*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -464b (base 12) to base 6.\nAnswer: -100135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}