{"text":"Question: Suppose -4*u = g - 14, 0*u = 2*u - g - 10. Let t(h) be the third derivative of 0*h**3 - h**2 - 5\/24*h**u + 0*h + 0. Let s(r) = r**2. What is t(s(w))?\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 plus 789.5132?\nAnswer: 793.5132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a**5\/5 + 52*a**4 - 6724*a**3\/5 + 59392*a**2\/5 - 134394*a\/5 - 200772\/5 = 0.\nAnswer: -1, 6, 13, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14 - 7. What is the greatest common factor of 35 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 250648695 and 2745.\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 709, 2, 3, -33934 in decreasing order.\nAnswer: 709, 3, 2, -33934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v. Let m(s) = 2*s - 5. Give 6*g(z) - m(z).\nAnswer: -8*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is a59 (base 11) in base 13?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 227.1383l in millilitres?\nAnswer: 227138.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00015485 rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 492988?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.5, -0.3, -28190\/3, 2, 2\/17, -76?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the first derivative of 0*l**2 + 75 + 58\/3*l**3 + 0*l**4 - 56\/5*l**5 + 0*l. Find the third derivative of q(v) wrt v.\nAnswer: -1344*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 162 = 5*f. Suppose -4*k - f = -7*k. Solve -6*j = -3*j + 3*q + k, -5*q = -5*j - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 389022*y + 257496?\nAnswer: 389022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002 times -370917?\nAnswer: -741.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7284 + -7284.4. Which is the nearest to z?  (a) 0.13  (b) 4  (c) 1\/4  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) 8  (b) 5  (c) -5  (d) -22\/15  (e) -3\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -0.2, 1, 19, -3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*a - 6*a. Solve a = -5*f + j + 6 - 34, 0 = -2*f - 5*j + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19810, 78925, 177332, 315037, 492046, 708365, 964000, 1258957?\nAnswer: 1593242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8 or -29\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37860?\nAnswer: 2, 3, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -2*n - 11. Let t be o(-6). Suppose -5*b + 4 + t = 0. Calculate the lowest common multiple of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.5  (b) 15\/7  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1142396.57 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**3 - 28*h**2 + 3*h + 651. Let z be r(27). Suppose 1\/8 - 3\/4*i**2 - 3\/8*i**4 + 0*i - i**z = 0. What is i?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -185, -355, -511, -647, -757?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 144 and 32900112?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of -9 + 4\/3*c**3 + 1\/4*c**4 - 1\/120*c**6 + 1\/10*c**5 + 0*c + c**2. Let n(l) be the second derivative of k(l). Determine n(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 28 = -8. Suppose 315 = 5*m + q. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.188695 decades to months.\nAnswer: 262.6434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:42 AM and 12:25 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 + 12*g**2 - 3*g - 18. Let x be q(10). Let a = -77 + x. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-7)\/(-2)*(-4 + -2). Is 7 a factor of (-195)\/i - 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77164 = -2*b - h, 63599 = 2*b - 4*h - 13545. What is the hundreds digit of 8\/6*b\/80?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 761*f - 357*f - 398*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6198 + 4093. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - 4. Suppose -4*t = a - 18, a = -a + d*t + 12. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3 + -29339.\nAnswer: -29338.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -80538*t**5 - 55823*t**2 wrt t?\nAnswer: -4832280*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**5\/4 - 21*p**4\/2 + 191*p**3\/4 - 109*p**2\/2 - 39*p + 74.\nAnswer: (p - 37)*(p - 2)**3*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and 57899.9?\nAnswer: -5789.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 <= 185\/284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/5)*j\/j**10*j*j*j)\/(j**1*j*j)**(-1\/6) assuming j is positive.\nAnswer: j**(-51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -40 and 603132.\nAnswer: -24125280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 11*d - 28. Let f be o(-19). Let a = f - -2. Let v = a - -330. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*c*k**3 + 4*c*k + c + k**4 + 7 wrt k?\nAnswer: -9*c*k**2 + 4*c + 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 120459509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 - 10*v - 21. Determine i(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 25 = -11. Let t be (-2)\/2*(-80 - 1). Calculate the highest common factor of f and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -358 - -358. Which is the nearest to -0.2?  (a) 1  (b) o  (c) 4  (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 7*w - 4*w - 4*w. Calculate n(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 + 17 = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/20 and (34\/(-3))\/(360\/(-189)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.1 + 0. Let t = -4 - -3. Let m(z) = 5*z. Let n be m(t). Which is the third smallest value?  (a) l  (b) 4  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 35647*d + 249303. Determine p(-7).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 19.045 + -0.045. Let v = 21 - s. What is the second biggest value in 1.1, v, 1\/3?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6836 + 12917 = 2046*p - 25259 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -3*l**3 - 4*l**2 - 10*l + 18. Calculate the remainder when i(-4) is divided by (-1148)\/(-18) + -1 + 8\/36.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from efefffffff.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -2.4  (b) -5  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.9 and 940724873.\nAnswer: 940724872.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 12:24 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22596336 and 1044.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -2*q + 22. Give h(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 836816435 to the nearest integer?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (16\/14*-5)\/(270\/(-2205)). Let y = 46 - k. What is the second smallest value in -2\/41, y, 0.1?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2566133536 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13 + 25. Suppose 5*c - d = 2. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2 + -1*9 + 2. Let p = -6 - r. Suppose -f - p = 1, 0 = -4*k - 5*f + 36. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -162690245 + 11388509303\/70. Let i = f - 2745. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-3 + (sqrt(352) + 1*(3*sqrt(352) + sqrt(352)))\/((sqrt(704) - 3*sqrt(704))*6))**2.\nAnswer: 5*sqrt(2)\/4 + 2041\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 33 + 11*p**2 - 13 - 1 - 6 wrt p.\nAnswer: 22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 3*a + 15. Let p be r(-5). Let f be -1 - (3 - p) - -6. Suppose 0 = -f*o + 4*u + 58, -3*o - 3*u - 59 = -5*o. List the prime factors of o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 366891.4 kilograms?\nAnswer: 366891400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -406, -483, -616, -805, -1050, -1351, -1708?\n\"Answer: -28*j**2 + 7*j - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 15281269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 612 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 529, 477, 435, 409, 405, 429, 487?\n\"Answer: n**3 - n**2 - 56*n + 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 divided by -17823.\nAnswer: -7\/17823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4420164 (base 7) in base 16?\nAnswer: 84801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 6*u. Let r(m) = -226*m**2 - 435. What is y(r(h))?\nAnswer: -1356*h**2 - 2610","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 3 = 0, o + x - 11 = -4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*z - 827 = -34 - 164 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -2, 8, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2034 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: Find the common denominator of -67\/14 and -19\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36837466 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 51 times 6540\nAnswer: 333540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**2 - c**3 + 4*c**2 - 2*c**2 + 10. What are the prime factors of f(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 972*b - 131. Let g be (102\/(-68))\/((-3)\/14). Is y(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 + 27. Let u be 0 + 0 - z\/(-28). Suppose 0 = -5*n + 5 - 15. What is the closest to -0.1 in -0.2, u, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 5.2273 and -27.\nAnswer: -21.7727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3149639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 440009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -43.265555 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(-3\/4))**(-3\/17))**(4\/7) assuming o is positive.\nAnswer: o**(-3\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, -0.4, 0.6, 17, -1, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1009.8 - 1007.8. What is the third biggest value in y, 7, 128\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.6 + -1.4. Let m = 6.2 - -1.8. Let i = -6 + m. Which is the closest to p?  (a) 0.5  (b) i  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/((-3096)\/43))\/((5\/12)\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 2*x**3 - 8*x + 2*x**2 + 5*x**2 - 3*x**3 - x**2 + 2. Let l(p) = p**3 + 14*p**2 + p + 18. Let r be l(-14). Let h be u(r). Does 2 = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2823 + -398. Calculate the highest common factor of 25 and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-51)\/((-663)\/(-130)))\/24)\/((-2)\/(-6))*4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -723.50874 and 14025.\nAnswer: 13301.49126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**3 + q**2 - 1. Let h be (3\/(-6))\/(1\/2). Let x(a) = 4*a**2 - 4. What is h*x(s) + 4*z(s)?\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.1 and -62.49?\nAnswer: 62.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 628*h**2 + 0*h - 1193*h**2 + 173*h**2 + 0*h.\nAnswer: -392*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes after 5:10 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 64 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 4.5, 4, 33\/8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (4\/48*-2*3)\/(-1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 644275 is divided by 95.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 165, 157, 149, 141?\n\"Answer: -8*m + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -103 + 108. Suppose -m*b - 3*h - 4 = 4, 1 = 3*b - 4*h. Let l be (-1)\/b*(-14 - 8)*-12. Calculate the highest common factor of 24 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**2 - 8*i + 14. Suppose -c - 220 = -5*z - 5*c, -5*z + 4*c + 180 = 0. Let r = -49 + z. Let u be s(r). Solve -2 - 3 = -u*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2520)\/(-735))\/((-15)\/(2625\/10)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 32*u - 27*u = 793, u - 1 = 0. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rgnrygrnrny. What is prob of picking 1 n, 1 r, and 1 y?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14534 and 258?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -309 = -12*u + 339. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of -x**4\/12 - 16*x**3\/3 - 77*x**2 + 6*x - 318. Determine p(-27).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 39*w + 4. Let x(j) = 39*j + 4. Let h(r) = -4*l(r) + 5*x(r). Let y be h(-2). Let t = 110 + y. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1758 and -465 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -106068*o**6 + 374*o**2 - 160*o wrt o?\nAnswer: -12728160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 8*n**2 + 2129875*n. Let q(c) = -2*c**2. Give v(q(m)).\nAnswer: 32*m**4 - 4259750*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.5 + -0.5. Let z = 1.058 + 3.942. Sort -3, 1, z, w in decreasing order.\nAnswer: z, w, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14*k**3 + 2247*k**2 - 76*k + 1080 wrt k?\nAnswer: -84*k + 4494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1 - (-30)\/12)*290?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r = 2*c - 3*c + 4*c - 25, 3*c + 242 = 34*r + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 68581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -5*j - 5. Suppose 5*m = j*m + 22. What is the remainder when 41 is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -263 * 5.\nAnswer: -1315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 43*p**2 + 39*p**2 + 53*p**2 - 136*p**2.\nAnswer: -p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.3747474 to three dps.\nAnswer: 1.375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7708 is divided by 1925.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 44) + 0 - ((-1 + -11 - -12) + 4).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*a = 4*a + 10. Solve 0*n = -a*n + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*n - 17 = -2*r - 253, n + 4*r = -570 + 196 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 5 = -13. Let k be (1 - 2) + y - -6. Which is the second smallest value?  (a) 5  (b) -2\/5  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*q - 5*t + 102 = -26*q, -18*q - 318 = -15*t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 2565*m + 323. Let h(z) = -48*z - 6. Determine 323*h(j) + 6*w(j).\nAnswer: -114*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.006247961991 to 4 decimal places.\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -125.5 - -126. What is the closest to 1 in 0.4, -2\/9, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**3 + 10*x**2 + 5*x - 13. Give d(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-1*(1*sqrt(64) + sqrt(64)))\/(-2*(sqrt(72) + -1*sqrt(72) + sqrt(72))*6).\nAnswer: 4*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(((sqrt(136) + sqrt(136) + (sqrt(136) - -1*sqrt(136) - sqrt(136)) + sqrt(136))*-3)\/(sqrt(648)*1 + sqrt(648)))**2*-2*2.\nAnswer: 544\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 203987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -3715, -736, 2243, 5222, 8201?\n\"Answer: 2979*w - 6694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.374 in -2\/11, 2\/7, -8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 948 and 54?\nAnswer: 8532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 165 + 437267?\nAnswer: 437454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000015475694 rounded to seven dps?\nAnswer: -0.0000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 178611.\nAnswer: 3, 29, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eood when four letters picked without replacement from {d: 1, e: 2, g: 7, r: 4, o: 6}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.610207 to 2 decimal places.\nAnswer: 3.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -15090 divided by -1509\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -25*k**3 + 3*k**2 + 29*k + 8. Let g be f(-21). Suppose 7*s = g + 26004. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -332 = 3*t + 18*o - 383, o = -5*t + 230 for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 19571 minus -704?\nAnswer: 20275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -6*g**2 + 7*g. Let f(o) = 13*o**2 - 14*o. Let x(l) = 3*f(l) + 5*s(l). Find the second derivative of x(k) wrt k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -22*j**2 - 65*j - 308. Let f(x) = 31*x**2 + 97*x + 462. Let l(q) = -5*f(q) - 7*n(q). Calculate l(-23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 31856 and 121270?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 19857 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/50*(9\/18)\/((-9)\/45)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -0.4, -2\/390651, -5?\nAnswer: -2\/390651","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 2841 divided by 2841\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 21\/(-105) + 11\/5. Let k be (3 - 3)*w\/16*4. Suppose 2*z + 6 = -3*r + 4*r, 3*z = 3*r - 12. Solve -4 = r*a - k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 42673 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5\/7?  (a) -2\/9  (b) -3\/5  (c) -1\/4  (d) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((12\/(-126))\/((-5)\/((-1225)\/35)))\/((-160)\/3).\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -11*f**2 + 2*f - 1. Let t be k(4). Let u = t - -250. Calculate the highest common factor of 36 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 746.6041235 to 2 dps.\nAnswer: 746.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - (-1 - 5)) + -9 + -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 + -341563?\nAnswer: -341567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 15*s**3 + 4*s**2 - 12*s + 25. Let k(f) = f**3 - f**2 + 2*f - 4. Let w(x) = -c(x) - 6*k(x). Determine w(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(((-801 - -781)*10\/(-16))\/12).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -32 or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.06 - -0.36. Let h = -0.7 - n. Let u = -7 + 6.8. Which is the third smallest value?  (a) u  (b) h  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 334\/(-24) - (-1 - ((-4 - -10) + -1)) and 1 + (-1881)\/(-564) + -4.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 140*y - 235*y - 232*y - 220*y + 13*y to the form j + k*y and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -27*w. What is the units digit of b(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in thirty-four fifths of a tonne?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-s - 2*s + 2*s)*(975*s**3 + 38*s - 488*s**3 - 494*s**3) as z*s**4 + n*s**3 + r*s**2 + f*s + m and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = b - 35. Calculate the remainder when 12 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the first derivative of -l**8\/672 + l**7\/210 - l**6\/240 - l**2\/2 + 1. Let z(a) be the second derivative of j(a). Let z(i) = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-126)\/72)\/(1\/(-12)). Let a(k) = k - 22. Let o be a(q). Let x = 1 - o. What is the smallest common multiple of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(147)*2 + -1*(sqrt(3)*1)**2 + ((sqrt(72)\/sqrt(3) - sqrt(24))*-5)\/(sqrt(128)*2).\nAnswer: -3 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 11) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 26354128 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -368*x**3*z**4 + 434*x**3*z wrt z.\nAnswer: -4416*x**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3 + (-12)\/8*-2. Suppose 176 = 2*x - f. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*q**3 + 1636*q**2 + 65920*q - 818800 = 0. Calculate q.\nAnswer: -46, 10, 445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 2*w - 30 = 0, 4*u + w = -3*w. Let a(t) = -t**3 - 4*t**2 + 2*t + 4. Let v be a(-4). What is the units digit of ((-2)\/v)\/(u\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y - 3 = -y + 3*h, 0 = y + 2*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 158615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1414.3 - -1409.7988. Let i = 19.5 - 15. Let z = h + i. What is z rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 49 = -3*w + w, 0 = -w + 2*f - 28. Let p be (2492\/(-52))\/(-7) - 4\/w. Let v(y) = y**3 - 2*y**2 + y - 11. What is the units digit of v(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132) + sqrt(132) + -6*-1*sqrt(132))\/(-3*sqrt(300)).\nAnswer: -8*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*6*(-4*sqrt(68)*2 - sqrt(68) - (sqrt(68) - (sqrt(68) + 2)*2 - sqrt(68))))**2.\nAnswer: -4032*sqrt(17) + 120528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 561976.\nAnswer: 2, 199, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/18 - (59 + (-21658)\/306).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the second derivative of -5*b**4\/12 + 5*b**3\/2 - 5*b**2 - 15*b. Find h, given that a(h) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12823, 13403, 14169, 15127, 16283, 17643, 19213?\nAnswer: 20999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 + 7. Suppose -5*k - 4*o + 25 = 0, -r*o - 42 = -3*k - 0*k. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -93ed + 4?\nAnswer: -93e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l**1\/l))**(-3\/8)\/(l**(-1)\/(l*l**(-1\/20))) assuming l is positive.\nAnswer: l**(63\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0437221 rounded to three decimal places?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*w - 326 - 303 - 287 = -202 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let a = -1350 + 766. Let q = a - -1203. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**3 + 12*w**2 + w + 6. Suppose 5*a - 22 = -5*u + 13, 0 = -u - 3. Calculate the smallest common multiple of a and l(12).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12.5 + -1.5. Which is the nearest to -2\/5?  (a) -0.3  (b) o  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3161 - -3158. Suppose -z = 5*f - 0*f - 8, 3*f - 4*z - 14 = 0. What is the smallest value in 1\/4, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 <= -5\/2101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/200 and 41\/2110.\nAnswer: 42200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g - g - 3*g)*(-32*g - 31*g + 27*g).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/(-7))\/((-220)\/35 - -6). Find the first derivative of -2*c**4 + 15*c**4 - 150*c**2 + 150*c**q + 27 wrt c.\nAnswer: 52*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6818.849966 - -6814.45. Let b = -40 + 35.6. Let z = b - d. Round z to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (9\/(-30))\/(-3)*-4. Let q be (-13)\/(-26)*(-12)\/10. Which is the closest to -1?  (a) 3\/4  (b) j  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39128.7728913 minus 0.2?\nAnswer: 39128.5728913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 215309 is divided by 499.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = -5*w + 26*w. Solve w*z = 6 - 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 24\/30 + (-36)\/(-5). Let f = -2 + i. Let t(s) = -3*s**2 + 6*s + 4. Let x(h) = 7*h**2 - 13*h - 7. Let d(l) = -5*t(l) - 2*x(l). What is d(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v**2\/4 - 251*v\/4 - 249\/2 = 0. What is v?\nAnswer: -249, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.06233 from -385757005.\nAnswer: -385757004.93767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 2214*w. Let m(k) = 2*k + 4. Let z(a) = -8*a - 20. Let i(d) = 5*m(d) + z(d). Determine n(i(r)).\nAnswer: 4428*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -10 times -36.9\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the first derivative of 59*z**6\/3 - 7*z**4\/4 + 1214*z**3\/3 + z**2\/2 + 418. Find the third derivative of t(o) wrt o.\nAnswer: 7080*o**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -2*p**3 + 9*p**2 - 2*p + 4. Suppose 6*d + 0*d = -312. Let z be d\/(-14) - (-4)\/14. Let s be o(z). Calculate the greatest common divisor of 96 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d**2 - 18851102*d - 6283700 = 0. Calculate d.\nAnswer: -3141850, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 62 - 60. Suppose -k*i = -13*i + 165. Calculate the remainder when 40 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*f = -14*f - 63*f - 951 - 1747 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2794640605?\nAnswer: 5, 558928121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-33)\/(-55))\/3*(-3 - -2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - 0.1. Let p = 0.3 - -0.7. Suppose 0*x + 3*j = -5*x + 6, -3*j + 6 = -x. Which is the closest to x?  (a) m  (b) p  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 2*p = 0. Let q = 3.08 - 0.08. Let r = 299945.1 + -299945. Sort q, p, -1\/9, r in increasing order.\nAnswer: -1\/9, p, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21755803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 333 - 1387\/4. Find the common denominator of (-2)\/40 + (-2)\/(2*2) and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, x: 7}. Give prob of picking 2 x and 2 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -634 - -648. Suppose -m - r = 2*m - c, -5*m = -4*r - 12. Let p be (-1 - (-3)\/1) + 2. Solve -3*q = p*f - 35, 3*q = -m*f + 2*q + 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -122312001 (base 4) in base 3?\nAnswer: -12120211100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1 - (-18)\/(-22))\/9. Let g = n + 7\/198. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes before 5:25 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 106 and -9.27?\nAnswer: 115.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 13*m + 891. Let v(c) = 19*c + 1321. Give -7*t(d) + 5*v(d).\nAnswer: 4*d + 368","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*d - 20*d + 104. Suppose -d*p + 184 = 4*z - 8*z, -184 = -4*p + 3*z. Calculate the greatest common factor of p and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 5) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -343*j - 1683. Let i be p(-5). Solve i*m - 36*m - 8 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 4*m = 5*m + 1752, q + m = 584. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*s + d - 21 = -45*s, -15 = -120*s + 4*d + 555 + 402 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*s + 15*s = 12, 4*s - 60 = -4*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(-1 + ((-72910)\/(-24305) - 2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 3 b when four letters picked without replacement from bchbbcbhhhghhccb?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 186677?\nAnswer: 17, 79, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 21*p**2 + 1834*p - 14677. Give x(8).\nAnswer: 1339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -109*l - 92*l + 48976*l**2 + 201*l.\nAnswer: 48976*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/((-16)\/12) - -112. Let j be (-15)\/(-3) + (-1 - 67)*1. Let g = b + j. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 + 10*k**2 + 9*k + 6. Let j be y(-9). Let b(d) = d**2 - 3*d + 4. Let z be b(j). Calculate the remainder when z + (0 - -1)*-2 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 - 2. Let u(w) = 7*w**2 - 2*w + 1. Let x be u(b). Let j(s) = s**3 + 11*s**2 + 9*s - 3. Let g be j(-10). Which is bigger: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/1)\/((29 - 959502\/33110)\/(12\/(-15)))\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -4*i - 27. Let u(j) = -12*j - 78. Give 13*l(m) - 4*u(m).\nAnswer: -4*m - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 121841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 893 a factor of 171881961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve u + 5*d + 3 = 0, 4*u - 2*d = 5 + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - (-16 + 2)) + -4 + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -21*i**2 - 953*i + 315. Calculate d(-42).\nAnswer: 3297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*q + 58*q = 56*q + 374 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -33267*z**3 - 47*z**2 - 9*z + 33.\nAnswer: -199602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 213895*k + 31756 - 68772*k - 31756.\nAnswer: 145123*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000707682829 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 5*(sqrt(1053) - sqrt(1053)*3) - (sqrt(637) - (sqrt(637) + 2 + -4))*-1.\nAnswer: -90*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*j**2*x**3 + 6*j**2*x**2 + 30*x**3 - 4*x wrt j?\nAnswer: -4*j*x**3 + 12*j*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 - (41 - -2) - 31?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -223*h + 228*h - 4*i - 20 = 0, 3*i = -15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.08 - -0.38. Suppose 0 = z - 4*t + 16, 0 = 4*z - 3*t + 9 + 3. What is the nearest to z in -5\/6, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 3*y - 8. Suppose y*b - 40 = -0*b. What is the least common multiple of 20 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = r - 4*b, -2*r + 2*b = -6*r + 8. Solve 0 = -m + r*m - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 minus 846211.653?\nAnswer: -846211.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -36 - y**3 - y**4 + 21 + 20 + (4*y**3 - 3*y**3 + y**3)*(y - 6*y + 4*y) - 2*y**4 + y**4 + 2*y**4 + 0*y**3 - 2*y**4 + 0*y**3.\nAnswer: -4*y**4 - y**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2 - p + 1. Suppose l + 2*l = f + 7, 4*l = 12. Let a(x) = x**3 - 2*x**2 + 2*x - 2. Determine f*h(j) + a(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/5454 and -101\/26784.\nAnswer: 2705184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add together -360057384 and -2291226.\nAnswer: -362348610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10445*l - 191882 - 273397 = 22263 + 870308 for l.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 278.43  (b) -2\/9  (c) 13  (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**3 + 10*q**2 + q - 8. Let h be f(10). Suppose -6 = 3*n, -h*j + 2*n = -4 - 8. What is the biggest value in 1, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vmm when three letters picked without replacement from {i: 1, s: 5, m: 11, v: 3}.\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.3 - 0.1. Let d = -448 - -3142\/7. Let o = -3.1 + 3.4. What is the third smallest value in q, d, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.08 and 38369081598878?\nAnswer: 38369081598877.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 364179.905 to the nearest one hundred.\nAnswer: 364200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**1*u**0)\/((u\/(u\/(u*u\/((u**(-6)\/u)\/u)))*u*u)\/((u*u**(1\/4))\/u))*((u**(2\/9))**(1\/24))**39 assuming u is positive.\nAnswer: u**(-187\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes before 10:42 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -71025?  (a) -5  (b) -1\/3  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9209 is divided by 383.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 76 or 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.09366141 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 3*y + 2. Let j = -137 - -142. Let x = 30 + -16. Suppose -j*p + x = -3*p. Let l(q) = 6*q + 5. Determine p*r(s) - 3*l(s).\nAnswer: 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 47\/54 + 1\/216. Let a = 8673\/4 - 2186. Find the common denominator of h and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21 + -19. Let l be 1\/z*-2*-3. Suppose d = -l + 7. Solve -17 + 1 = -d*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 6) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 12 = -3*k. Suppose -z - k + 1 = 0. What is the lowest common multiple of (z\/(-3))\/(4\/24) and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79 = -7*t + 40. Suppose -3*z = 19 + t. Is z > -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes before 9:51 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 33247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 34074 (base 8) in base 2?\nAnswer: 11100000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*b*b\/(b*b*b**(-1\/3))*b))**(-32)\/(b\/b**(1\/8)*b*b**(1\/8))*(b**8*b*b**(4\/3))\/(((b*(b\/(b*b\/b**(-1\/3)*b))\/b)\/b)\/b*b**(-8)) assuming b is positive.\nAnswer: b**(190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7084 and 52877.\nAnswer: 1480556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -6*i + 40. Suppose -3*s = o - 6, -2*s + 4 = -o + 2*o. Let l(x) = -7*x**2 - 2 + s + x**3 - 2 + 6*x. Calculate l(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19 + -77\/4. Let d = 3.1 + -3.2. Which is the biggest value?  (a) d  (b) 8\/3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/5  (b) 1\/4  (c) 3\/20  (d) 2  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -6*c + c + 7 - 1 - 5. Let l(w) = -w + 1. Determine -4*l(v) + m(v).\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(2\/39)*o*o**(2\/31))\/((o\/o**36)\/(o**(5\/2)\/o)) assuming o is positive.\nAnswer: o**(90955\/2418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 + 5*b**2 + 6*b + 2. Let p be d(6). Suppose 6*f - 16 = p*f. Let a = f - 0. Solve 3*m = a*m + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-6)\/(n\/n**(5\/3)))\/((n*n**0*n)\/(n\/n**(-6))) assuming n is positive.\nAnswer: n**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/(-2) - (-76)\/(-8). Let h be (-4)\/v - 4\/10. Suppose 2*w + 2*w - 64 = h. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a + 36. Let h be t(-7). What is the remainder when 88 is divided by 1 + h - (3 + -1 + -4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5.1 times 1\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + -2. Let d(b) be the second derivative of -b**7\/2520 - b**5\/120 + 3*b**4\/4 + 10*b. Let z(a) be the third derivative of d(a). Give z(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 8558 = 2*s, -33*q - 8558 = -2*s - 28*q. List the prime factors of s.\nAnswer: 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 67 - 64. Solve -4 = v + 3*f, 4*v + n*f = -v - 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 78  (b) -3\/14  (c) -0.3  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 10496, 9969, 9098, 7889, 6348, 4481, 2294?\n\"Answer: j**3 - 178*j**2 + 10673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -20*h**3 + 3*h**2 + 3. Let m(y) = 19*y**3 - 2*y**2 - 2. Calculate 5*m(a) + 4*x(a).\nAnswer: 15*a**3 + 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*b**3*o**2 + 380*b**3*o - 460*b**3 + b*o**2 wrt o?\nAnswer: -4*b**3*o + 380*b**3 + 2*b*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 + 1fa1817?\nAnswer: 1fa1819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 2)*(47 - 47 + 5*n) - n + n - 2*n + (2*n + 2*n - 3*n)*(0 + 3 - 4) to the form l + i*n and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2013613.\nAnswer: 7, 307, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43329.62mm to centimeters.\nAnswer: 4332.962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 4, o: 10, b: 1, a: 3}. Give prob of picking 1 v, 1 o, and 1 b.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4989557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.06 and 0.13.\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 - -2. What is the biggest value in h, -4, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 20 - -2110423?\nAnswer: 2110443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.02, 2\/11, 182\/8357 in decreasing order.\nAnswer: 2\/11, 182\/8357, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9812 - -1.\nAnswer: -9811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20)\/5200*-20*(-1 + 3 + -1)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38118.08 rounded to the nearest ten?\nAnswer: 38120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -12, 62.\nAnswer: -12, 3, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s**4 - 3475*s**3 + 34415*s**2 - 113205*s + 123300 = 0. What is s?\nAnswer: 3, 4, 685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 7)*(3 - 5*m + m + 3*m).\nAnswer: -5*m + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**5*(c\/c**(-6)*c)\/c)**(-2\/45)*(c**(-2)*c\/(c**(3\/7)\/c))\/((c\/c**(-2\/3))\/(c*c\/c**(-1))) assuming c is positive.\nAnswer: c**(27\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 596\/(-1192)*36\/(-2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 294297351 is divided by 422841.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 34*f**2 - 16*f + 94. Let w(s) = -34*s**2 + 13*s - 87. Give 4*b(k) + 5*w(k).\nAnswer: -34*k**2 + k - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of -j**4\/4 - 8*j**3\/3 + 4*j**2 + 4*j + 5. Does 3 divide l(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -c**3*z**2 - 1441*c**3*z + 1435*c**3 - c**2*z**2 - 11*c**2*z - 5571631*z wrt c?\nAnswer: -6*z**2 - 8646*z + 8610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 3*m + 10 + 8 = 0, -2*m - 24 = -5*u. Solve 5*k = 3*x - 18, -15 = u*x + 5*k - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10058.5 + 10059. Which is the second smallest value?  (a) 1\/3  (b) -1\/189  (c) -4  (d) z  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 * 16\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*i + 9*i = -387. Let g = i + 32. List the prime factors of g.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24.500802 months to millennia.\nAnswer: 0.0020417335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 2*n**3 + 37*n**2 - 250*n - 4861. Give l(-18).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -k**5\/6 + 278*k**4\/3 - 79465*k**3\/6 + 301649*k**2\/3 - 173990*k\/3 - 1876900\/3 = 0.\nAnswer: -2, 5, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*t - 28*t + 280 = 0. Solve -t*m - 2*m = -24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 290696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -63, 0.5, -5, 2\/7, -22\/13?\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from {u: 1, g: 2, y: 3, x: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/((-2)\/(2 + -4)). Let l(d) = 95885 - 61*d + 62*d - 95885. Let c(f) = -3*f**2 - 2*f - 1. What is u*c(s) - 4*l(s)?\nAnswer: 3*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 PM and 5:23 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43 - (-53 - -19) - (-2 - -27).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of (-42)\/(-10)*(-278500)\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 68\/2899713 and 46\/24597?\nAnswer: 26097417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1338, 2678, 4018, 5358?\n\"Answer: 1340*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -a**4 + 2*a**4 - 3*a**4 + (-2 + 4 - 3)*(-4*a**4 + 6*a**4 - 3*a**4) + (a - 5*a + 2*a)*(-2*a**3 - 2*a**3 + 2*a**3) + 375*a**4 + 241*a**4 - 51*a**4.\nAnswer: 568*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 111\/56 and 75\/7394.\nAnswer: 207032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 6251024, 6251056, 6251088, 6251120, 6251152, 6251184?\n\"Answer: 32*v + 6250992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 77376 or 77380?\nAnswer: 77380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24 and 5724.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 4*r = -20, -6*x - 4*r = -2*x - 64. Suppose 4*b - 5*b = -x. What is the second derivative of a**2 - 9*a + 3*a + 2*a - b*a wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v - 55 - 74 = 95. Let x = -7 + 11. What is the greatest common factor of x and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -87*k**2 + 1306*k - 14. What is z(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 + 0. Suppose -4*k + 876 = 4*o, -k + m*o - 6*o + 210 = 0. Suppose -3*p - k = -6*p. Is p a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 3181589 = 5*o + 1856406, -4*g - 10075997 = 3*o. Round g to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -110 (base 2) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -902484*t**2 + 44*t + 33286 wrt t?\nAnswer: -1804968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*d + 17374 = -26*d. Let k = 336 + d. What is k rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2489, 0.1, -2.\nAnswer: -2, 0.1, 2489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -305343 (base 8) to base 2\nAnswer: -11000101011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -33956 - -33961. Calculate the lowest common multiple of u and ((-46)\/(-3))\/((-1)\/(-6)).\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 4*w + 35, -6 = o + 2*w - 21. Let g = 18 - o. Let b be 6\/((g - 3) + -1). Solve b*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 54 = 5*b, -131*n - 113*b - 417 = -133*n for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8024 and 295.\nAnswer: 40120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4701452 and 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-3\/2))\/((y*(y**8\/y)\/y)\/y)*(y\/y**1)\/y**(-8) assuming y is positive.\nAnswer: y**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17348270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2*1*(-25)\/(-300)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 2, o: 1, h: 1, g: 1, a: 1, t: 1}. What is prob of sequence goaj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (39 - 13 + 35 - 5 + 2 + 4 + (2 - 2 + 1)*(-2 + 6 - 2))*(2*c**3 - 2*c**2 + 2*c**2) + 0*c**3 + 0*c**3 + c**3.\nAnswer: 129*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -8387 (base 10) in base 5?\nAnswer: -232022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 132 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes after 9:07 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -16 - -22. Suppose -3*d + 81 = -2*a, -4*a = d - 0*d - 27. Suppose -4*q + 136 = -4*m, 4*m + d + 79 = 3*q. What is the highest common divisor of q and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -51, 0, 2\/9, -2\/11, -18 in decreasing order.\nAnswer: 2\/9, 0, -2\/11, -18, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 256165193.9931 - 256179167. Let p = -14098 - q. Let d = p - -125. What is d rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2700\/11 + -245. Find the common denominator of 61\/4 and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -5*q + 1 + 3, -5*q = l - 8. Let s be q\/6 + (-2 - 8\/(-3)). Suppose 13 = 7*g - s. Let p(a) = 3*a - 2. Determine p(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 220838*x - 207385*x - 320637*x - 494228*x.\nAnswer: -801412*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vwwwwlwvvvwwlvvvvw. What is prob of sequence vwvl?\nAnswer: 28\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 27 - -21. Let r = -6 + l. Suppose 0 = 4*g + 6 - r. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 5*j + 5 = 0, u - 32 = -3*u + 4*j. Suppose 4*q - 186 = 2*y - 4*y, -4*q + u*y = -165. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6907 - -14459. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -2*b**2 + 9*b + 1. Let l(n) = -n**2 - 1. Let q(k) = -a(k) + l(k). Calculate q(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1041, -1051, -1057, -1059, -1057, -1051?\n\"Answer: 2*l**2 - 16*l - 1027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 114704.\nAnswer: 2, 67, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23 - (10 - (11 - 21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 32 - 30.65. Let v = 0.1 + -0.19. Let a = v - w. What is a rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1352667 and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 16 - 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000000295313 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**3 - 3*d**2 - 9*d + 20. Let q be l(5). Which is the second biggest value?  (a) 3\/5  (b) q  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*(a\/a**(1\/2))\/a)**12*a**(-2\/5)\/(a\/(a*a*a*a**(-2\/9)\/a)) assuming a is positive.\nAnswer: a**(287\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*k + 2*k**3 - 6*k**3 + 3*k**3 + 38*k**4 - 3*k**2 - 36*k**4 - 5 to w*k + d + b*k**3 + s*k**2 + p*k**4 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3856 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 161800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 76 and 112?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 26681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.01, 0.3, 2\/15, 1, -23234?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -937603.5999908 - -937606. Let z = -0.033 - 2.367. Let l = z + v. Round l to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3512*a**5 - 6*a**2 - 40656*a - 1?\nAnswer: -70240*a**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*z**2 - 480*z + 472*z + 9*z**2 + 10*z**2 + 5*z**2.\nAnswer: -2*z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-36)\/94*(-13)\/(-3). Let o = -41391\/11092 + 329\/472. Let x = g - o. What is the common denominator of 1\/2 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrhhrhhhh. What is prob of sequence rh?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33677 = -4790*x - 206117 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1 * -3.21\nAnswer: 3.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -7343*v + 140. Let a(u) = u - 70. Give -2*a(y) - i(y).\nAnswer: 7341*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -19960, -39844, -59714, -79570?\n\"Answer: 7*j**2 - 19905*j - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 2 = -8. Suppose -w*b = -3*b. Sort -5, 4, b.\nAnswer: -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvvvvvvvvvvvvvvvev. What is prob of sequence ev?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1*(-6)\/(-27) - 66916600\/(-1548)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (12\/(-10))\/((-12)\/40). Suppose -s - 186 = -m*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -221\nAnswer: 5\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 541275 and 1925.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 121 + -135 + 74 + (-10 - -20)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of -4*p**3\/3 - 1. Let s(a) = 215*a - 63*a - 146*a. Determine s(t(y)).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - j**3 + j**2 - 4)*(6 - 6 + 4).\nAnswer: -4*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(2\/5)\/a**4*a\/(a**(-2\/3)\/a)*((a*a*a*a**(-2\/9)\/a)\/a*a)\/a)**(-19\/5))**49 assuming a is positive.\nAnswer: a**(6517\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*a**3 + 136208 - 272414 + 136206.\nAnswer: -22*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 552 and 2411160?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.1 - 0.4. Let i = 2.9 - -1.1. Sort -1\/4, j, i in descending order.\nAnswer: i, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.318 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 AM and 12:39 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -489*p + 301*p + 285*p + (-2*p - 2*p + 3*p)*(1 - 15 + 46).\nAnswer: 65*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 0.5, -0.01, 252\/25?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**3 - 12*o**2 - 2*o - 18. Calculate the lowest common multiple of r(-12) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*x**2 - 2*x**3 - 5*x**2 - 7 + 2*x**2 - x**2 in the form q*x + n*x**3 + b*x**2 + z and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*z**3 - 4 - 36*z**4 + 6 + 38*z**4 - z**2 - 4 to the form q*z**2 + n*z + k + l*z**4 + a*z**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-6578)\/572 + (-306)\/12\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54 + 75 - 129 - 8*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 862*z**2 + 448*z**2 + 173*z**2 to the form n + g*z + m*z**2 and give m.\nAnswer: 1483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -18  (b) -8\/3  (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -4*c**2 - 5*c - 2. Let r(f) be the third derivative of -11*f**5\/60 - 7*f**4\/12 - f**3 + f**2 - 132*f + 2. Give 8*m(v) - 3*r(v).\nAnswer: v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1610, -4, -2, -6, 183, 0 in decreasing order.\nAnswer: 183, 0, -2, -4, -6, -1610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 + 9*x + 12. Suppose 0 = -7*s + 2*s - 45. What is the smallest common multiple of 20 and r(s)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 29*b**2 + 6*b + 1. What is the remainder when d(-2) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 + c**2 - c + 1. Let x(a) = 4*a**3 + 15*a**2 + 11*a + 3. Let i(r) = -3*g(r) + x(r). Let n be 20\/(2 + 3)*(0 - 2). Is 36 a factor of i(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -556\/1397 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 5*y**3 - 14*y**2 + 20*y + 28. Let k(c) = 4*c**3 - 13*c**2 + 19*c + 27. Let f(a) = 6*k(a) - 5*t(a). What is the tens digit of f(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(1584) + 2 - sqrt(1584) - sqrt(1584)) + sqrt(1584) + sqrt(1584) - (sqrt(1584) - 4*sqrt(1584))*-3) + 4)**2 + -2.\nAnswer: -4992*sqrt(11) + 267950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + 4)*(7 - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes before 7:35 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -2*l - 8. Let r = 3.77 - 728.77. Let k = -727 - r. Which is bigger: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 s when three letters picked without replacement from {c: 1, l: 2, w: 1, p: 1, i: 1, s: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 8*p + 72. Calculate a(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 79148\/421*4*1\/16?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.1  (b) 1  (c) -0.13  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q - 105932 = 170868. What is q rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 20*c - 334. Give t(26).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 - 21 = -7*y. Suppose y*r + 190 = 3*b + 3*r, 0 = 2*r + 4. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 2 g when four letters picked without replacement from gnggnghgggh?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**3 - a**2 + a - 3. Suppose 2*k + 5*h = -2 + 6, 2*h + 5 = -3*k. Let m be d(k). Solve 5*j + 32 = 4*z, 7*z - m = 3*z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a second in microseconds?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 429409565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -6*i - 4. Let q be b(-2). Suppose 6*w - q*w = -314. Calculate the remainder when w is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -32\/77 and -14\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*1*sqrt(363) + sqrt(363) + -2*(2 + sqrt(363)) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -13 times 113583\nAnswer: -1476579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 244999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12827307 + 12827307 + w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i + 4*o + 7356, -3*i - 5*o + 4421 = -0*i. Is i a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -599889 and 326.\nAnswer: -195563814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ieizofi. Give prob of picking 1 f, 1 o, and 1 i.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2771b - -47?\nAnswer: 27766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -5*r**2\/2 - 3780*r + 398565\/2 = 0.\nAnswer: -1563, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-66)\/(-132) + 1\/(-2). Factor 1\/3*m**5 + 0*m + 2\/3*m**4 + 0*m**2 + 1\/3*m**3 + s.\nAnswer: m**3*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r + 12*r + 48. Sort 2\/9, 1, r, -4 in decreasing order.\nAnswer: 1, 2\/9, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(300) - -2*sqrt(300)) + (sqrt(3) - sqrt(576)\/sqrt(12)))**2*-6.\nAnswer: -13122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 91*q - 82*q - 3033. What are the prime factors of q?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 50460, 100922, 151384, 201846?\n\"Answer: 50462*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(40\/17)*(-104)\/988*-95\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (-26)\/(-468)*129?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -55 + 185. Let u = -132 + h. Let j = 4 - 4. What is the nearest to u in j, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*l + 0*l + 2*l)*(-24*l**2 - 35*l**2 - 26*l**2)*(-3 + 3 - l) in the form g*l + u*l**3 + j*l**4 + a + t*l**2 and give j.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-45)\/(-45))\/((-2)\/(44\/2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:24 PM and 5:44 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*g - 50 = 4*g. Solve 6 = 4*b + 2*z - 18, g = 5*z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 612199 a multiple of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 1 + 10 - (913 + -890)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 + -1. Suppose -u + 5*i - 1 = -17, 0 = -u + 4*i + 14. Let y be 1 - (-1)\/u*-4. Put h, y, 0.3 in decreasing order.\nAnswer: y, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 208 + 80?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**2 - l - 6. Let i(n) = -91*n**2 - 3*n - 13. Calculate -i(g) + 2*v(g).\nAnswer: 93*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (0 - 14) - 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 3, 6, 3, -12, -45, -102?\n\"Answer: -s**3 + 3*s**2 + s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 22572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24060666.\nAnswer: 2, 3, 7, 81839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 107\/280 and -51\/485?\nAnswer: 27160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 5*j + 10, 0 = 2*m + 5*j - 690. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-1*(1 + 0))\/((-108)\/6480) is divided by 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w + 2*w + 0*w**3 + 9*w**2 + 9 + w**3. Let o be t(-9). Suppose o = 3*c - 6 - 0. Calculate the remainder when c is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -28 + -54 + 41 + -2 + -26.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjfjmjjjjjjjfq. Give prob of sequence qf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10002101111 (base 3) to base 5.\nAnswer: 3421130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the third derivative of q**4\/24 - 4*q**3\/3 - 5*q**2. Give d(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the third derivative of m**5\/60 - 5*m**4\/24 + m**2 - 13. Calculate a(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/13 in -0.2, -0.5, 1.1, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1055528311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - h + 294 = 0. Let i = h + -1472\/15. Let f = -3.92 - 0.08. Which is the second biggest value?  (a) 1  (b) i  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 3*w + 22 = -0, 2*w = -3*n + 14. What is the highest common divisor of 5 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 4*i**2 + 34*i - 292. What is s(8)?\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18233 + 634 = 173*m + 3334 for m.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -8005*b*s*z - 25*b*s - b*z - b + 187*s*z - z + 322 wrt b?\nAnswer: -8005*s*z - 25*s - z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**3 + 4*z**3 - 7*z**3)*(0 + 0 + 2) - 3*z**3 + z**3 + 3*z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jqwgwzjwjzgwwnj. What is prob of picking 1 n and 3 w?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1914 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 189\/7*72\/81?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 5098 = b, -4*b + 4206 = -4*r - 2602. Let u = -41 - r. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(90)\/sqrt(2)*-5 + (sqrt(45) - 1*sqrt(225)\/sqrt(5)))\/((2*-2*sqrt(18))\/((2*sqrt(14))\/sqrt(7))).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 110 + 114. Suppose -5*y + 91 = -i. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 - 398*u + 401*u - 9 to s*u + a and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 254353613 - -10?\nAnswer: 254353623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 5 = -f, -310*f + 5*j - 14 = -313*f. Solve 5*i - 27 = 2*o, 2*i - 5*o = -f + 18 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/59?  (a) 2  (b) 2\/7  (c) 441  (d) -7  (e) -1.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -83, -119, -145, -155, -143, -103, -29?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + z = 6*z - 22, -4*y = -z - 10. Suppose 316 = 10*g - 94. Suppose 0 = 2*w - f - 26, g + 0 = y*w - 2*f. Solve -5*q + w = u, 5*u + 3 - 8 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - -3 - 9 - (0 + -14 + 8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -515, 4\/5, -5, 4, -1\/3, 1\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6450.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17 + 131*b**3 - 17.\nAnswer: 131*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the second derivative of 1\/6*i**4 - 12*i - 9\/4*i**5 + 0*i**2 + 2 + i**3. Find the third derivative of x(p) wrt p.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 89438 (base 13) to base 14\nAnswer: 66a48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 10023 (base 5) to base 4\nAnswer: 21332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2612*i - 413*i - 3487*i - 2175*i - 1429*i)*(-2 + 4 - 1)*(1 + 0 + 2).\nAnswer: -30348*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*s**3 + 7*s**3 - 11*s**3.\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (0 - (9 + (0 - 6))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 10*j**4\/7 + 386*j**3\/7 - 62086*j**2\/7 - 2084258*j\/7 + 120516 = 0.\nAnswer: -83, -33, 2\/5, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -113*s = -123*s + 250030. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-26) - 5\/((-260)\/268). Suppose r*u - 33 = -2*s, -5*s = -s + 4. Suppose 2*y = u*y - 135. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -43, -83, -125, -169?\n\"Answer: -y**2 - 37*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/51?  (a) 2  (b) 0.5  (c) -1  (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 3*x - 3. Let l(n) = n**2 - 4*n + 3. Give -3*h(p) - 2*l(p).\nAnswer: -2*p**2 - p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t + 9 - 69 = 0. Suppose -5*r + 35 = -5*d, r + t = -d + 3*r. Let j(s) be the second derivative of s**4\/12 + s**3\/3 + s**2\/2 + 5*s. Give j(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4076)\/(-12)*(-3)\/762. Let n = -1\/254 - p. Suppose n*r**3 - 4\/3 - 2\/3*r**2 - 10\/3*r = 0. Calculate r.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-9)*72\/(-144).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + (0 - 0) + 1 + 0. Let d(o) = 15*o**3 - 220*o**2. Let y(v) = -7*v**3 + 109*v**2. Let t(x) = r*d(x) + 5*y(x). Factor t(f).\nAnswer: -5*f**2*(f - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1315 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -36*l - 46*l + 112*l - 7 - 32*l. Let b(t) = -10*t. What is b(o(g))?\nAnswer: 20*g + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 19586940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(0 + -1 + sqrt(832) + 1).\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o + 7. Let h be f(3). Calculate the remainder when -6*((-15)\/(-6) - h) is divided by ((-8)\/2)\/(-4 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 5*b - 49 + 8 + 21 = 0, 0 = 3*v + 2*b + 34 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**2 + 10. Let h = 1 + -1. Let q be b(h). What is the remainder when 35 is divided by 2 + q\/(2 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4 - 5)\/(2\/(-8)). Suppose -3*m - 2*m = -u - 24, 4 = p*u. Calculate the highest common factor of m and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -2  (b) 50\/3  (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -76  (b) 1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (39*i + 15*i + 12*i)*(-2*i + 2*i + i)*(-2*i**3 + 1 + 0*i + 0*i).\nAnswer: -132*i**5 + 66*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the first derivative of q**4\/4 + 5*q**3\/3 - 5*q**2\/2 + 7*q + 5. Let r be v(-6). Let t be (-18)\/10 + r + 0. Is t less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*l = 21*l + 5*z + 20, 5*l - 2*z - 29 = 0. Solve -5 = -l*i, i + 0 - 5 = -4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -2*p - 24. Let u(t) = t**2 + 2*t - 2. Let g(y) = -32*y**2 - 40*y + 40. Let s(m) = -g(m) - 20*u(m). What is s(d(n))?\nAnswer: 48*n**2 + 1152*n + 6912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -2, -m - 3*t + 39 = 2*m. What is the derivative of -m*j**2 - 27 + 13*j**2 + 16*j**2 - j**2 wrt j?\nAnswer: 34*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 82.91 - -1.09. Let w = b + -83.99962. What is w rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -45240, -90197, -135154, -180111, -225068?\n\"Answer: -44957*x - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 15365.\nAnswer: 15360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 6007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 17*n**3 - 5489 + 10*n**2 + 11*n**2 - 49*n**2 - 92*n + 29*n**2 wrt n.\nAnswer: 51*n**2 + 2*n - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -172 - 43 = -n - 5*h, 0 = -2*n + 2*h + 430. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9635000 rounded to the nearest 100000?\nAnswer: 9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -9479000 rounded to the nearest one hundred thousand?\nAnswer: -9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1093152.\nAnswer: 2, 3, 59, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -197269928 divided by -98634964\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhjjjjhhhjjjljjlhhoh. Give prob of sequence jl.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = -3*u - 11, -5*f - 7 - 8 = -5*u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 4*g = 44, 134 + 0 = 4*w + 5*g. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27\/202048 and -5\/364.\nAnswer: 2626624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes after 2:17 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13 (base 4) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:46 PM and 10:28 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -221010122012112 + 10?\nAnswer: -221010122012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1252226*j + 1252220*j + 1252111*j + 4*j**2 - 3756557*j.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4719) - 4*(sqrt(4719) + sqrt(4719)*-3)) + sqrt(4719))\/(sqrt(12)\/(sqrt(64)*-1 + sqrt(4) + sqrt(4))) + -2.\nAnswer: -220*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10010100011010 - 11?\nAnswer: -10010100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**3\/3 - 140*q**2\/3 + 2450*q\/3.\nAnswer: 2*q*(q - 35)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 244902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -30 + 4*q**2 - 2*q**2 + 35 - 7*q**4 - 12*q**4 to the form s*q**4 + m + z*q**2 + w*q + p*q**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12366682 is divided by 198?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*x + 12*x = 12. Suppose -s = -3*h - 22, 24 + 16 = 2*s - 4*h. Calculate the smallest common multiple of x and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 109637 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 638653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the third derivative of g**7\/315 - g**6\/120 + g**5\/15 + 5*g**2. Let c(a) be the third derivative of x(a). What is the units digit of c(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 6404, 6397, 6382, 6359, 6328?\n\"Answer: -4*l**2 + 5*l + 6403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11*c*q**4 + c*q**3 + c*q**2 - 12576144*c + 47*q**4 + 402*q**3 wrt q?\nAnswer: -264*c*q + 6*c + 1128*q + 2412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -259708, -519413, -779120, -1038829, -1298540, -1558253, -1817968?\n\"Answer: -h**2 - 259702*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**2 + s + 3. Suppose 5*t + 20 - 35 = 0. Let m be x(t). Does 8 divide (-16)\/m*(-126)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2631093 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-8)\/(-15))\/(-1))\/(69\/2484*-12).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 53 = 62. Suppose 3*g - 5902 = -3*v - 2113, 4*v - 5048 = -h*g. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.77906 rounded to two dps?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (10\/5)\/(3\/(-24)). Let t = -23 - c. Let x(v) = 2*v**2 + 8*v - 5. What is the tens digit of x(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -91\/6 + 46\/3. Let w(h) be the third derivative of -1\/6*h**3 + 0*h - 3*h**2 + 0 - a*h**4. What is the derivative of w(r) wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2424 + 2424 + f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16 + 7. Let w = -166 - -157.1. Let h = n - w. Which is the nearest to h?  (a) 1\/9  (b) 0.1  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 456372.5 years?\nAnswer: 4563.725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 3*d - 13 = z, 16 = z + 3*d for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, -2, -5, 0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/6*-1 - (-25)\/30.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -198 - -385. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 274155 and 245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2275.976 millilitres to litres.\nAnswer: 2.275976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/3, -0.3, -6, 1\/4, 0.32?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 2 - 13 = 0. Let a(c) = -3*c - 1. Let k(j) = -4*j. Suppose q - 2*q = 2. Let l(p) = q*k(p) + 3*a(p). Calculate l(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -582 + 582. Solve q = -o - 4*c + c - 3, 3*c - 9 = -5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**2 + 15*r + 3. Let o be w(-15). Suppose f = o*f + 10. Let u(p) = p**2 - 4*p - 4. List the prime factors of u(f).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 7*t - 3*t = 12, 5*t - 14 = u. Which is the nearest to u?  (a) -3  (b) 1\/7  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.67 * 0.041116.\nAnswer: 0.02754772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**2 - 10*f + 17. Let p be x(8). Put 0, p, 5 in descending order.\nAnswer: 5, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39604*y**4 - 633672*y**3 - 673140*y**2 + 136*y = 0 for y.\nAnswer: -1, 0, 2\/9901, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(45))**2*1.\nAnswer: -18*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4 + -1 + (-83)\/14 and 43\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2645 - -4272. Let j = a + 946. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the second derivative of -b**5\/50 + 7*b**4\/15 - 49*b**3\/15 + 14*b. Factor u(k).\nAnswer: -2*k*(k - 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 - 182825?\nAnswer: -182824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*h**3*n*r - 6*h**3*r + 1343*h*n*r + 6083*h - 13*n*r wrt n?\nAnswer: -2*h**3*r + 1343*h*r - 13*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s = 4*m - 13 - 6, -4*s - m = -13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -308 = 41478*d - 41522*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2 - 6*p + 6. Let a be z(-6). Is 10 a factor of 8\/(-48) + 181\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-9)\/6*(789\/(-9) + -3). Suppose -5 - 7 = 4*k. Let l be (68\/6)\/((-2)\/k). Calculate the highest common divisor of l and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1865362*q**2 - 21 + 1865362*q**2 + 2*q**3 + 19.\nAnswer: 2*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/9 or -9222767?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/2 - 4*45\/(-50)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 20 + -24. What is the nearest to 1\/4 in 0, f, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes after 4:32 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11*q**4 - 98*q**2 + 27*q**4 + 17*q**4 + 24*q**4 - q**4 wrt q.\nAnswer: 1344*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 7*d. Let x(c) = 13386052*c. Give x(a(z)).\nAnswer: 93702364*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-j + 3*j - j)*(4 + 1 - 6)*(-33*j - 16 + 16) + 3*j**2 - 5*j**2 + 4*j**2 + (2*j + 0 + 0)*(5 - 2*j - 5) - j**2 + 4*j - 4*j as u*j + d + i*j**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a millennium in years?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -2*z**3 - 3*z. Suppose 0 = -4*t - 20, -4*j - 3*t - 30 = -7*j. Let c = 8 - j. Let n(d) = d**3 + 4*d. Give c*n(w) + 4*o(w).\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((m**3*m*m*m*m)\/m)\/m)\/m*m*m)**15\/(m**(-2)\/m**(-11)))**(-1\/17) assuming m is positive.\nAnswer: m**(-81\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 33 + -30. Suppose 4*g - 5*c - 16 = 0, 2*g = -h*c - 0*c + 8. Suppose -2*q + 0*q - 74 = -g*d, 4*q + 20 = 0. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 140*j + 5. Let k be w(5). Find the common denominator of ((k\/(-6))\/(-5))\/(-3) and (-2 + 321\/9)*3\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 2*s - 1. Let y be o(1). Let r be (2 - y) + 0 - -17. What is the highest common factor of r and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/5 of a decade in years?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -389bb2 (base 12) in base 5?\nAnswer: -214222104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 55 and 0.0169.\nAnswer: 0.9295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2529 + 6224. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 0, 4*i = 4*t + 2*i - 8. Let r = 10 + -14. What is the units digit of (-20)\/r - t\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11101100011001100010010111101 - -100?\nAnswer: 11101100011001100010011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 27 = k, 0 = -0*k + k + 2*y - 29. What is the remainder when k is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*g - 84 = 6*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10439881 by 10439881.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**7*o**2*o**(-4)*o\/(o\/o**1) assuming o is positive.\nAnswer: o**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 575\/(-50) + 3 + 91\/(-26) + 73?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 10339\/(-3) - 3\/(-9). Let t = -635 - c. Let m = 39387\/14 - t. Calculate the common denominator of m and -107\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 116 and 32?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 27 = -5*x + 1, 2*x = -2*j + 16. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 51 + 10*g - 51 + g - 10 + 15 - 9 + (2*g - 4*g + 3*g)*(-3 - 3 + 4) in the form q*g + u and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r and 1 v when four letters picked without replacement from {r: 4, q: 2, v: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -438.07 + 438. Put -1, 0.2, n, -5\/3 in descending order.\nAnswer: 0.2, n, -1, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 162*f**2*n**2*q - 2*f**2*n + 19*f*n**2 - 4*f*n*q - n**2*q - n**2 - 13*n wrt q?\nAnswer: 162*f**2*n**2 - 4*f*n - n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 67453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -446*c**2 + 163*c**2 + 150*c**2 + 17*c + 150*c**2.\nAnswer: 17*c**2 + 17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - 5472 = -6*k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1125 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, c: 1, o: 3, k: 2, b: 6}. Give prob of sequence kzzc.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -92a (base 11) to base 9\nAnswer: -1475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**3 - h**2 + h + 3. Let i(f) = -21 - 26 + 91 + f - 19 - 24. Let s(k) = k**3 - k**2 - k + 1. Let v be s(2). Give v*i(g) - l(g).\nAnswer: -g**3 + g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 5 + 0 + (sqrt(16) - (sqrt(16)*1 + sqrt(16)))\/sqrt(8) + sqrt(2) + sqrt(16)\/(sqrt(24)\/sqrt(3)*1).\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*h + 2*r + 73 - 68, -r = -4*h + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 90522891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-10 - -19) + (-1 - 3). Let y(c) = -c + 6. Let t(j) = -j**2 - 7*j - 5. Let b be t(-5). Let o be y(b). Calculate the highest common factor of h and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (924\/(-150) - -6)*-5.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Do -97.8407 and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -1381*g**2. Let t(k) = -2*k - 12653 + 12653 - k - k. Calculate t(u(v)).\nAnswer: 5524*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3138934312 to the power of 1\/3, to the nearest integer?\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10881 + -10887. Which is smaller: b or 0.036?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (23 + 17 + -28 + (-1275)\/105)*-259.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 91\/4 of a litre?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 118\/276 - (-3384)\/(-12972). Let m be 2 + 0 - 10\/12. Suppose 4\/3*k + j*k**3 - 8\/3 + m*k**2 = 0. What is k?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*g**5\/23 + 44*g**4\/23 + 194*g**3\/23 - 528*g**2\/23 + 288*g\/23 = 0. What is g?\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - 2 + 1284516*c - 1282577*c in the form m + l*c and give l.\nAnswer: 1939","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -12*i**3 + 2*i - 3. Suppose -43*w - 590 = 16*w. Let a(k) = -36*k**3 + 6*k - 10. Determine w*y(m) + 3*a(m).\nAnswer: 12*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 77\/190 + 32\/(-304). Let i = 117.7 - 118. Which is the fourth biggest value?  (a) -2\/5  (b) i  (c) f  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19180*u**2 + 43382*u**2 + 75430*u**2 - 11248*u**2.\nAnswer: 88384*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 260911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 AM and 11:43 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3 - 1)*(-6)\/3. Suppose -5*a = 4*x - 24, b + 10 = 5*a - 2*x. Let o(v) = v**3 + a - v - 3*v**2 - 3 - 3*v. Calculate o(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 103984 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -4*f - 8. Let r(i) = i - 1. Let m(z) = -a(z) - 3*r(z). Suppose 0 = 101*s - 104*s + 12. Calculate the least common multiple of m(-6) and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 6 = 0, -2*s + 14 = -c + 2*c. Let p be (-2)\/s - (-17)\/4. Suppose -p*y - y = -20. What is the third smallest value in y, -0.4, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**5\/2 + 8631*s**4\/2 + 6449769*s**3\/2 + 349147857*s**2\/2 + 3258682020*s + 20454566850.\nAnswer: 3*(s + 19)**3*(s + 1410)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 28189.4 to the nearest 100.\nAnswer: 28200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f = -4*f - 4*u - 23, -3*f = -3*u - 18. Let x be -5 - (f - 6 - (-2 - -21)). Solve 5*j - 16 = 4*k, -j + 6*j - k - x = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -91 + 181 + -6 + -61.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6\/47 - 64\/235. Let o be ((-200)\/(-250))\/((-4)\/10*-7). Let g = 520.5 - 512.5. Sort d, o, g.\nAnswer: d, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 106\/3219?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/(8\/(-20)*5). Let z(g) be the third derivative of 1\/60*g**5 + 1\/4*g**4 + 0*g - 5*g**2 - 1\/6*g**a + 0. Calculate z(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from qxququqxqxxuuuu.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 10570 (base 12) in base 8?\nAnswer: 52044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8395 - 8366.983. Let c = m - 28. What is c rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 4 - 8. Let n = 10 - x. Suppose 0 = -8*c + n*c. Solve 2*k - 2 + 0 = c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (-9 - (-17 - -10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in thirteen eighths of a tonne?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 175 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -75855 bigger than -682703\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93 - 14*s - 15*s - 91.\nAnswer: -29*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 41 and 533?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 3*x**3 - 5*x - 2. Let a be (-1)\/4*(-1 + -7). Let l(y) = -12*y**3 + 21*y + 9. Let j(w) = a*l(w) + 9*p(w). Let j(q) = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -3*h + 2. Let x be v(-2). Suppose x*k - 3434 = 5958. Suppose 0 = 5*m - k - 511. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.3 + -0.1. Let c = -0.11 - -0.01. Let i = -4.1 - c. Which is bigger: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 q when three letters picked without replacement from {q: 4, g: 3, o: 1, s: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 174*g - 171*g - 21 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 36638887, 36638876, 36638865?\nAnswer: 36638854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/12*(-8)\/12)\/((-610)\/488)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -8 + 14*r**2 + 3672*r - 3672*r. Let h(n) = 2*n. Calculate q(h(j)).\nAnswer: 56*j**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -4*b. Let c(i) = i. Let y = 809 - 799. Suppose 4*q = -3*d + 6, -d - 4*d + y = 2*q. Give d*c(l) + 2*k(l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1239240853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -1 + 4*x + 2 - 10*x. Let r(g) = g. Let m(n) = o(n) + 3*r(n). Suppose 12*s - 7*s = -5. Determine m(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 6*t + 12 = 0. Let s(h) be the third derivative of 1\/2*h**3 + 7\/24*h**4 + 0 + 43*h**2 + 0*h. Let a(i) = -6*i - 2. What is t*a(l) - 2*s(l)?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -416*h**3 - 3*h**2 - 3*h - 2. What are the prime factors of r(-1)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 95 - 95.02. Which is the closest to 0?  (a) r  (b) -1  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 32 in -4, 0.5, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/175171 or 2\/5?\nAnswer: 2\/175171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -2957 at most -1142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -93 + 4688*h**2 - 4693*h**2 + 106.\nAnswer: -5*h**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/b**4)\/b**(-3\/2))\/(((b**(-1)\/b)\/b)\/(b**2*b)) assuming b is positive.\nAnswer: b**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/b**(-7))**27*(b*b\/b**13)**(-1\/23))**(4\/19) assuming b is positive.\nAnswer: b**(19916\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the third derivative of g**8\/840 + g**4\/12 + g**3\/6 + 2*g**2. Let y(z) be the first derivative of r(z). What is the first derivative of y(w) wrt w?\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-14 - 1 + 3 + 4 - 4 + 2 + (0 + 2 + 0)*(2 + 1 - 1))*(2 - 3 - 6)*(4*r - 4 + 4)*(1 + 0 + 1)*(-3 + 5 - 3) in the form m*r + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.3 + 1.1. Let n = 12762\/63835 - -1\/12767. What is the second biggest value in 2\/25, 5\/4, k, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60282044 to the power of 1\/3, to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -w - 34*w + 34*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-62)\/310)\/(4\/(-4))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -54*o + 411. Let k be x(7). Solve -y - n - k + 29 = 0, -3*y = n + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.9 - -23.1. Let c = z - 16.7. What is c rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -2*m**2. Let t(o) be the third derivative of -o**8\/280 + 6*o**5\/5 + 89*o**2. Let l(r) be the third derivative of t(r). Calculate p(l(g)).\nAnswer: -10368*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/1162 and -55\/2.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 210 + 213 + 217 - 643 - 8*p. Let k(i) = 81*i + 30. Calculate 21*g(j) + 2*k(j).\nAnswer: -6*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 7288234 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 20 = -5*h, -i + 4*h - 2 - 5 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 283.5373 to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1362, 2722, 4082, 5442?\nAnswer: 6802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -26  (c) -2\/3  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(245) - (sqrt(245) - (sqrt(245) - (sqrt(245) + sqrt(245) + sqrt(245) + (sqrt(245) - (-2*sqrt(245) - sqrt(245))) + sqrt(245)))**2).\nAnswer: 12008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (8 + (-2 - 7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 - -3. Suppose 9 = -q*k + k. Solve -v + 10 = -5*x, -5*x - v - 1 = k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from pfpp?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 92ba (base 14) to base 10.\nAnswer: 25252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53688278 is divided by 26844131.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 q, 1 e, and 1 h when four letters picked without replacement from {g: 7, q: 1, w: 2, z: 2, e: 2, h: 1}.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -0.09, 890\/9 in ascending order.\nAnswer: -0.09, 10, 890\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2164 divided by -1229\nAnswer: -2164\/1229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g. Let t(u) be the first derivative of -25*u**3\/3 + 56*u + 38. Let k(d) be the first derivative of t(d). What is c(k(z))?\nAnswer: 50*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10?  (a) -2\/129  (b) -2  (c) -0.25  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a*(a\/(a**(-3\/37)\/a*a))\/a)\/((a**(-33)*a)\/a) assuming a is positive.\nAnswer: a**(1298\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 30.5233*-0.1\nAnswer: -3.05233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t*t**(-1\/9)*t**5)**(-12))**(-11\/5))**0 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2*4 + (14 - 7 - 8). What is the highest common factor of w and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07567710914 take away 1?\nAnswer: -0.92432289086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q. Let g(o) = -o - 17989. What is n(g(c))?\nAnswer: -c - 17989","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c + 24 + 141. Solve -26*h = -c*h + 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 17\/4 - 51\/(-68). Suppose -5*v = 3*j - 6*j, -2*j + y*v - 5 = 0. Suppose -420 = -j*m + 3395. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 675\/60*(-11)\/((-660)\/96)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.25  (b) -3  (c) -1\/4  (d) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 505 a factor of 8002933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -2401 divided by 160?\nAnswer: -2401\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, g: 2, r: 1, p: 1}. Give prob of sequence rg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-2)\/(-3))\/((-2)\/(-3)). Let o = 1 + r. Suppose y - 33 = -o*y. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of u**3*v - 109*u**3 - 823*u**2*v - 11*u**2 + 5*u*v + 6836*u + 1004 wrt u?\nAnswer: 6*u*v - 654*u - 1646*v - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.153 - 0.547. Suppose 2*o - 2*l = 2*l + 30, 4*o = -2*l + 10. What is the biggest value in -1, m, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w - 6*g + 4*g = 0, 4*w = 4*g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s**5 - 1749*s**4 + 260946*s**3 - 1752192*s**2 + 1492992*s = 0.\nAnswer: 0, 1, 6, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h + 8. Suppose -x - 8 = 3*d - 3, 0 = -5*x - 25. Suppose 0*t - 2*t = d. Calculate the remainder when 14 is divided by w(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29937 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-24))\/((-6)\/(-24))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -30132 - -30127.12. Which is greater: k or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the third derivative of -q**5\/30 - 25*q**4\/24 - 79*q**3\/6 - 26*q**2 - 51*q. Determine r(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 30355 + 30341 = -3*d, 4*m - 5*d + 2 = 0. Determine w so that 11\/10*w**m - 1\/10*w**4 + 4\/5 - 9\/5*w + 0*w**3 = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k + 1. Let g(i) = -i + 1. Let f be g(2). Let l(m) = -3*m. Calculate f*l(b) - 2*x(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -186.0851*-0.11.\nAnswer: 20.469361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the first derivative of -1\/3*z**3 + z + 1\/2*z**2 + 212 - 1\/4*z**4. Let n(l) = 8*l**3 + 5*l**2 - 7*l - 5. Calculate n(b) + 5*w(b).\nAnswer: 3*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 209 a factor of 6888492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/63 and 31\/23635386.\nAnswer: 165447702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -127900 by -25580.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -292*m = -275*m - 102 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the first derivative of -t**4 + 4*t**3\/3 - 2*t**2 + 3*t + 29. Determine k(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -35*k**2 - 204*k - 1104. Determine d(-5).\nAnswer: -959","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**2 + 76*a + 1066. Calculate the smallest common multiple of 1042 and p(-18).\nAnswer: 11462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -380*f + f - 127*f as k*f + r and give k.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1419*k = -1075*k - 9632 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 443582.7 hours to days.\nAnswer: 18482.6125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 547  (b) -0.1  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 + -5. Let v = -4 + h. Suppose -4*u + 5*u = v. Sort 1, 0, u.\nAnswer: 0, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -20*k**3 + 3*k**2 + 4*k + 2. Let o be g(-2). Let s = o + -482\/3. Factor 11\/3*d - 2\/3 + 7\/3*d**3 - s*d**2.\nAnswer: (d - 1)**2*(7*d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m + 1. Let b(t) = -11*t + 4. Let r(s) = b(s) - 4*k(s). Determine r(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -28 - ((1 - -16) + (-49 - -46) - 7).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 4*g = 255. Let r = g - -62. What is the greatest common divisor of r and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 + -1.153.\nAnswer: 1.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71924*j + 23940 = -71945*j. Round j to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-32314)\/1692 - (-42 + 23) and 37\/1034.\nAnswer: 9306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1327203 (base 13) to base 12.\nAnswer: 2020076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q - 5*d + 27, 3*q - 3 = -d + 4*d. Suppose 4*s + j = 3*j + 338, q*s + j = 323. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 943722 and 48396?\nAnswer: 1887444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 249*u + 924. Calculate o(-6).\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 7*d**2 - 7*d**2 - 5*d**3)*((11*d - 4*d - 10*d)*(-2 - 1 + 2) + 5*d + 0*d - 3*d) to g*d + b + v*d**2 + q*d**4 + k*d**3 and give q.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 9*u - 64. Let o be h(7). Let a(q) = -605*q**3 - 4*q - 3. List the prime factors of a(o).\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*y - 7*y - 40 = 0. Suppose 441 = l + y*b - 72, l - 543 = 4*b. List the prime factors of l.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2140 - 576. Suppose 6*m - i = 1040. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1335.86628 to the nearest 10.\nAnswer: -1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2744, -5487, -8230, -10973, -13716, -16459?\nAnswer: -19202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -37*b**4 - 533*b**3*z + 2*z - 8484 wrt b?\nAnswer: -148*b**3 - 1599*b**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 91*d - 42455 - 75663. List the prime factors of d.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-72)\/54)\/((-24)\/18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -123 + 609 = -54*u. Let g(x) = 6*x - 2. Let a(t) = 50*t - 9. Let l(c) = -25*c + 5. Let k(w) = -4*a(w) - 9*l(w). Calculate u*g(y) + 2*k(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3424342 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 52838 and 6728?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*g + 145235 = -4*y + 145291, 2*g + 42 = 3*y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 261*w**2 + 313*w**2 + 266*w**2 - 1618*w**2 + 261*w**2 + 259*w**2 + 254*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 10.9159 litres?\nAnswer: 10915.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 133 + 14627582360\nAnswer: 14627582493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 plus -36510469?\nAnswer: -36510469.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -30.156 rounded to one dp?\nAnswer: -30.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**3 - 5*r**2 - 5*r + 7. Let n be f(5). Let u be ((-9)\/(-6) + -1)*n. Let c = u - -101\/11. What is the nearest to 0.1 in c, -1\/3, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8119 - -146141\/18. Which is the second smallest value?  (a) -2\/47  (b) 1\/7  (c) f  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + 3*v - q - 11, 0 = 4*v + 3*q - 31. Suppose 5*n - 88 = -v*x, 3*x = -2*x + 10. Suppose 3*t = 5 + 4. Solve 0 = t*d + d + n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 634, -52, 1 in descending order.\nAnswer: 634, 1, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 379868?\nAnswer: 2, 23, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1111200 (base 3) to base 5\nAnswer: -13343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -1496*r. Let s(k) = 61*k + 97. Determine a(s(i)).\nAnswer: -91256*i - 145112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 18618662213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 93*k + 408. List the prime factors of r(50).\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = d - 5*d + 21, 6 = 4*d - 2*y. Suppose -d*g - 557 = -3*m, -2*m + 5*m - g - 542 = 0. What are the prime factors of m?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -660 divided by -4?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4061 - 4058. Put -1, o, 114, 5, 1 in increasing order.\nAnswer: -1, 1, o, 5, 114","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.17 - 0.17109. Round c to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001377 rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the third derivative of 41*f**5\/12 + f**4\/8 + 5*f**3\/6 + f**2. Let s be v(-7). Let h = s - 20529. What is h rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 10 = 2*z - 3*b, -b - 70 = 3*z. Let o = 28 + z. Let g be 10\/o - (-3)\/((-18)\/(-2)). Solve 2*h - 3*j + 15 = 3*h, 0 = 3*h - g*j - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(77)\/(sqrt(11) - -1*sqrt(396)).\nAnswer: sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 539 = 2*w + 9. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 5*z = 14*z. Which is greater: 17 or z?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 2 = -3*f - 4*c, -3*f + c - 6 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4, 1, -303219 in increasing order.\nAnswer: -303219, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -6*r. Let x(v) = -25*v + 3. Let z be 28\/8 - (-12)\/8. Let c(h) = 37*h - 4. Let l(i) = z*c(i) + 7*x(i). What is l(f(q))?\nAnswer: -60*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 94 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x - x - 15 = 0. Suppose -3*o + 6 = -x*f + o, -5*f + 7 = -o. Solve 2*t = -f*t + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of n**6\/300 + n**5\/100 - n**3\/30 - n**2\/20 - 23*n. Factor v(z).\nAnswer: (z - 1)*(z + 1)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -428 + 1561\/4. Let m = -37 - g. Which is the biggest value?  (a) -3  (b) m  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -34 + 21.4. Let n = t + 7.6. Let x = 97\/5 - 19. Which is the nearest to -1?  (a) x  (b) n  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 + 4*l**2 - 4. Let f be v(-3). Let b = f + -3. Suppose -y - 4*r = -72, 2*r + 26 = b*y - 168. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 111 = -4*m - 4*o + 1271, -m + 5*o = -272. List the prime factors of m.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -213123 - -12?\nAnswer: -213111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -2*f - 216. Let y(s) = 3*s**2. What is y(r(l))?\nAnswer: 12*l**2 + 2592*l + 139968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add -4143 and -7.497.\nAnswer: -4150.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -27967\/8 - -3502. Let o(d) = d**2 + d + 6. Let k be o(-6). Calculate the common denominator of m and 4\/k*38\/(-2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3432591 + -14?\nAnswer: -3432605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 23491110 by 3.\nAnswer: 7830370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2388 + 23839\/10. Let y = -13876 + 9600. Let z = -68509\/16 - y. What is the common denominator of z and l?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 627 divide 58858998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = l + 3, 2*l = 5*l + 5*b - 7. Suppose -z + 109 = -l. What are the prime factors of z?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 393, 343, 303, 279, 277?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 3:12 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -k + 4*n, -k + 28 = 5*n + 2. Suppose -k*x + 3*x + 180 = 0. Calculate the remainder when x is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 5*w - 6*x + 5905, 4*w + 4727 = x. Let y be w\/(((-6)\/(-1000))\/(54\/9)). What is y rounded to the nearest 10000?\nAnswer: -1180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 237794320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-11)\/((-176)\/24)*(-16)\/(-3). What is the greatest common factor of 248 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 21 + -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 2985 divide 25342626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6 - -88?\nAnswer: 8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.07 + -1.37. Let s = 1 - 8. Sort s, l, -0.5 in ascending order.\nAnswer: s, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**2 - 2*j - 29. Let g be f(-7). Let k be (5 - 4)*g*(-1)\/(-2). Solve 2*m = 3*s - 5, -m = 5*s + k - 47 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1606, -1\/18, 325?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2 + 84*a + 31. Calculate w(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -6 divided by 255\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4, r: 2, a: 2, p: 7, u: 3}. What is prob of picking 2 r, 1 p, and 1 c?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of 15311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - -118c?\nAnswer: 118c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/(t\/(t*t**1*t))*t**(-1)*t**(2\/5)\/t**(3\/5) assuming t is positive.\nAnswer: t**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 38303*m**2 + 8*m - 685 wrt m.\nAnswer: 76606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*-1*(-1)\/(-3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 - 7*v**2 + v + 2. What is n(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + 0 - 429\/44.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 - 398842?\nAnswer: -398843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.08 and -311611.\nAnswer: -24928.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/12)\/(18\/4). Let w be (15\/(-290))\/(3\/4). Which is the second biggest value?  (a) w  (b) v  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1987*n + 1991*n - 18 = -2*k, -n - 3*k = -17 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1039, -2037, -3035?\nAnswer: -4033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 0 = 2*u - 3, 0 = -4*b + 3*u - 13. Is b*30\/(-3) + 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 233135 (base 7) to base 6.\nAnswer: 522025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -174138.8 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/3  (b) 0.02  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -56157, -112302, -168453, -224610, -280773, -336942, -393117?\n\"Answer: -3*x**2 - 56136*x - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (c - 2*c - c)*(6*c**2 + c**2 - 2*c**2) - 5*c**2 + 10 + 6*c**3 - 7*c**3 + 7*c**2 to i*c**3 + d*c + n*c**2 + m and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000002913371 rounded to 7 decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2474*x + 2*k + 4 = 2475*x, 0 = -3*x + 3*k + 18 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**3 - 26*o**2 + 22*o + 60. Let x = -22 - 5. What is the units digit of i(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1877653*o*u**2 + 3*o*u - 3*o + 6194*u - 6 wrt u?\nAnswer: 3755306*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 62143019?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.145 - -130.145. Let a = p + -142.4. Let x = a + 12.40000063. Round x to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**2 - 8*k + 7. Let l be f(-7). Solve 0 = 4*p - 2*m + 2, 0*p - 4*m - l = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) 243  (c) -20\/13  (d) -1\/3  (e) 0.08  (f) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11700 is divided by 3489?\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p - 1 + 3*p - 2 - p. Let t be z(3). Suppose 0 = 2*i - v - 150, t*i + 154 = 2*i - 3*v. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -34*x - 359 + 101*x + 216. What is the units digit of q(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 - 58*w - 4*w**2 + 55*w)*(0*w**2 + 2*w**2 - 6*w**2).\nAnswer: 16*w**4 + 12*w**3 + 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = -3*w + 97, 3*v - v - 5*w = 81. Let i be 4 - 7\/(v\/16). Suppose 106000 = d - i*d. Round d to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -442014 - 4431?\nAnswer: -446445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 2*o**2 + 8*o - 2. Suppose -3*s + k - 23 = -0*s, 2*k = 4*s + 34. What is the tens digit of f(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*q + 23*q + 15*q.\nAnswer: 73*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19040579 is divided by 195?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2113 - 2077. Let v = -6 - -14. What is the remainder when q is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y**4 + 159564*y**3 - 797936*y**2 - 638256*y + 3191680 = 0. What is y?\nAnswer: -39896, -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 5*t + 5, 0*t = 3*l - 4*t + 8. Let a = 8 - l. Is 765\/6 - 2\/a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*c*i**2*j**2 - 18*c*i**2 + 1299*c*i*j**4 - c*j + 15*c - 2*i**2 + 19 with respect to j.\nAnswer: 6*c*i**2*j + 5196*c*i*j**3 - c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -531*j**2 - 532*j**2 + 49*j**3 + 1061*j**2 - 2 as k*j**3 + q*j + s + u*j**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 18037\/15298?\nAnswer: 18037\/15298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13.9 + 14. Let m = 24.7 + -26. Let w = 1.8 + m. Which is the nearest to 2\/5?  (a) o  (b) -2  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -182406495, -364812992, -547219489, -729625986?\n\"Answer: -182406497*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21 + 2 - 4)*(4*u**2 - 4*u**2 + u**3).\nAnswer: -23*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 266.824636 to 0 dps.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6.4673821 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**3 + 9*b**2 + 9*b - 1. Let d be y(-8). What is the biggest value in -4, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87 = -2*k - 13. Let w = 1 - k. What are the prime factors of w?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g. Let v be (60\/(-48))\/((-2)\/(-40)). Let n be ((-10)\/v)\/((-1)\/(-30)). Let b(k) = -n*k - 16*k + 31*k. Calculate b(d(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 15 + 5)*(-3*b + 6*b - b).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39 + -2 - (-25 - -46 - 17).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 16 = -4*t, -216*t + 4*w = -217*t + 21. Solve -11*d - 27 + t = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lbkeekeeepelekcclc. What is prob of picking 2 k and 1 p?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13\/(-195)*-10*(-1170)\/20.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v. Let c be q(-2). Let u(d) be the second derivative of 11*d**3\/6 + d. Is u(c) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d - 5. Give o(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 4*m + 384 - 1704 = 0, -2*m + 1338 = 4*j. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.08 - -0.19. Let t = b - 0.31. What is the second biggest value in -0.4, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11110101 + 100?\nAnswer: 11111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -4*r + 50. What is the remainder when r is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 1)*(-2*b + 4*b + 0*b) + (-1 - 1 - 1)*(2*b - b + 7*b).\nAnswer: -26*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - 118292925355.\nAnswer: -118292925351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 2*q + 109. Let m(b) = -6*b - 315. What is 8*i(p) + 3*m(p)?\nAnswer: -2*p - 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 41, 60, 79, 98, 117, 136?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 4*p - 6 = p, 4*p - 8 = -4*y. Is -4\/9 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 32*l**3 + 320204*l**2 + 37320626*l?\nAnswer: 192*l + 640408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -759.26 - -755. What is the smallest value in o, 1\/6, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g\/(g\/(g*g**(-8)*g))*g**(2\/7)*g*(g\/((g*g*g**(1\/4)*g)\/g))\/(g\/g**(1\/5)) assuming g is positive.\nAnswer: g**(-947\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7.1 + 7.6. What is the closest to -1 in w, 1\/5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*f - 186 = -291 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 288 = 15*a - 72. Are a and 25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 25 - 8. Suppose 2*d = -10, -2*a - 5*d - 2 = p. Suppose a*g - 806 = -4*s, 5*g = -s - s + 1348. What is g rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 644.4561 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**3 + 7*t**2 - 7*t + 6. Let k be d(6). Suppose -4*r - h + 15 = k, h - 19 = -5*r - 0*h. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4 - (-12)\/3)\/(-1). What is the nearest to -2\/7 in 0.1, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1184, 4543, 10142, 17981?\n\"Answer: 1120*v**2 - v + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18, 29, 42, 57, 74?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t. Let i(v) = -17*v**2 + 17*v - 17. Let a(d) be the first derivative of d**2\/2 - d + 7. Let x(g) = 17*a(g) - i(g). Give w(x(z)).\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j**3 - 3*j**3 + 3*j**3 + 8*j**2)*(-1 + 4*j + 3*j - 6*j).\nAnswer: -2*j**4 + 10*j**3 - 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 12 = 0, 0 = 3*x - 5*m - 4230 + 417. Suppose 0*j + x = r - j, 5*r - 6375 = 4*j. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s + 71 + 139. Solve s*u - 35*u = 21 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 2*x - 3. Let z be q(3). Suppose -3*a - 3*w - 15 = -4*w, -z*a = 3*w + 3. Let l = 2 + a. Let v(i) = 4*i. Calculate v(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11610 + 11556.49. Let w = d + 54. Round w to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10447181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9\/4 or 9.31?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*u + 17*u = 12. Suppose 3*x = u*r - 108, 2*r + 5*x - 22 - 6 = 0. Calculate the highest common factor of 24 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 + 14*g**2 + 2*g + 195. Let c be v(15). What is the closest to c in -2\/7, 4, -10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the first derivative of j**5\/240 - j**3\/24 - 5*j**2\/2 + 3. Let q(u) be the second derivative of y(u). Find c, given that q(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes after 12:55 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 989 and 559?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 2801.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of -1087*r**5\/5 + r**4\/6 - 244*r**2 + 105*r. Find the third derivative of c(u) wrt u.\nAnswer: -26088","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -d**4\/7 + 51*d**3\/7 - 884*d**2\/7 + 852*d - 13680\/7 = 0.\nAnswer: 6, 19, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -3*k + r + 12, -4*r = 5*k - 13. Let b be 4\/(-2) - k\/(-1). Suppose -1 + b = l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5*y**4 + 655*y**3 + 34*y - 256810?\nAnswer: -20*y**3 + 1965*y**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2870 divided by 410\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 166*t - 12896 = -330*t for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 26, 36, 46, 56?\n\"Answer: 10*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes after 6:06 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1808 - -39482?\nAnswer: 37674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sffq when four letters picked without replacement from {f: 6, s: 1, q: 10}?\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 844 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.131?  (a) 0  (b) -1\/4  (c) -3  (d) 5  (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 875 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 112202212 (base 3) to base 6\nAnswer: 121505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -14, 1\/6, -5.\nAnswer: -14, -5, -0.3, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -51 + -1. Let f = b + 55. Suppose 4*t**2 + 9*t**3 - 4*t**4 - 4*t - 22*t**f + 17*t**3 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6507492773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, 1\/3, 11, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4281\/(-1 + 4) + 5 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1943 + 1960.63. What is m rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 4*c - 130. Let j(k) = k**3 + 23*k**2 + 37*k - 42. Calculate the remainder when j(-21) is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2*g**2 + 2*g + 2. Give d(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -187*x**2 - 2*x + 261?\nAnswer: -374*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*c + 25*c + 280 = -9*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**2 + 9*h. Let j be y(10). Let b = j - -5. Let o(a) = a**3 + 6*a**2 + 3*a + 7. Calculate the remainder when 50 is divided by o(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -93 - -102. Let i = 3 + 5. Which is smaller: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvrgvcegrag. Give prob of picking 2 v and 1 r.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 5*n**2 + n + 1. Let c(w) = 14*w**2 + 2*w + 4. Let s(a) = 6*c(a) - 17*z(a). Determine s(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = 15*k + 138 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -116.64 + 1.64. Let i = 115.2 + q. Put i, 0, 0.8 in increasing order.\nAnswer: 0, i, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sffifssssjxfxsf. Give prob of sequence jfff.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 247 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2242, 4470, 6678, 8866, 11034?\n\"Answer: -10*a**2 + 2258*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -98.349 times -1\nAnswer: 98.349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -18684, -7, 0, 2, -50, 6 in descending order.\nAnswer: 6, 5, 2, 0, -7, -50, -18684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 4049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1836) + (sqrt(1836) - (2*sqrt(1836)*3 + sqrt(1836))))*3)\/(3*sqrt(18)\/sqrt(6)*1*-3).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*g + 276 = 237 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/11 or 61724?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -1182*m + 2819. Give p(4).\nAnswer: -1909","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**3\/5 + 241851*j**2\/5 - 3869424*j\/5 + 3095488.\nAnswer: -(j - 241835)*(j - 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 50*i**2. Let v(g) = -11*g. Determine v(h(z)).\nAnswer: -550*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -27 (base 13) to base 5.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -15.40341 to one dp.\nAnswer: -15.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 15*s**2 - s. Suppose -2*o = -8, 4*l + o = -2*o + 8. Let m be z(l). Solve 0*i + 4*i = -5*k + 36, k - 5*i = -m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (8112\/156)\/(48\/(-45)*5)\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -2*y**2 - 8*y - 2. What is c(5)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1054*w - 2091*w + 3*w**2 + 1011*w.\nAnswer: 3*w**2 - 26*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*v**2 + 61*v**2 - 28*v**3 - 23*v**2 - 21*v**3 - 14*v**2 as i*v**3 + n*v**2 + c*v + q and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 12\/1872*12*2\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5 - -57.8\nAnswer: 62.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1367254?\nAnswer: 2, 7, 61, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 429 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 409529.\nAnswer: 409529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -169 + 233. What is the remainder when 124 is divided by j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -23612791.15 to the nearest one hundred thousand.\nAnswer: -23600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/22 + 315\/(-99). Let v = x + 3. Suppose 17 = u - v*u. Solve 2*j - u = -7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (-32 - (-3 - 8) - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 3*v - 18 = 0, 2*h - 16 = 4*h + v. Let p be (-5 - -1)\/(h\/(-126)). Let f be (-4)\/24 + (-22)\/p. Which is smaller: 1\/4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g + 8 = g. Which is the third smallest value?  (a) 0.3  (b) 3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 - 12*h + 3. Let a(w) = w**3 - w**2 + w + 5. Let s be a(0). Suppose -g = -12 + s. What is the remainder when g is divided by v(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of -d**4\/12 - 13*d**2. Let v(c) = c**2. Calculate p(v(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -2*o**3 + o + 1. Let n be w(-1). What is the third derivative of 11*k**2 + 5*k**6 - 13*k**n - 3*k**6 wrt k?\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 91867?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.4  (b) 100  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 take away 17.83535695?\nAnswer: -29.83535695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 31, 44, 61, 82, 107, 136, 169?\n\"Answer: 2*h**2 + 7*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2834*v**3*z + 32*v**3 - 16*v**2 + 2*v*z + 2*v with respect to z.\nAnswer: 2834*v**3 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 2 + 322*k**2 - 2 - 9*k - 5*k.\nAnswer: 322*k**2 - 14*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**6*f*f**8)**(-24) assuming f is positive.\nAnswer: f**(-360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from upuppuppuupuup. Give prob of picking 1 p and 3 u.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times -196321282?\nAnswer: -196321282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the second derivative of -3\/2*d**2 - d - 29 - 1\/2*d**3 - 37\/4*d**4. What is the second derivative of k(r) wrt r?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n + 1. Let a(o) be the third derivative of o**4\/24 - o**3\/6 - 7*o**2. Calculate a(f) + 2*j(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -42, -98, -170, -258, -362, -482?\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 j when two letters picked without replacement from jajja.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -2*j**2 - 1078*j + 2164 = 0.\nAnswer: -541, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 39*t - 10. Let a be f(1). Let k(d) = -d**2 + 28*d + 28. Let o be k(a). What is o rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the second derivative of -x**3\/3 + 23*x**2\/2 + 5*x. Let t be v(12). Let h(n) = 3*n**3 + n**2 + 2*n + 1. Determine h(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/3  (b) -7  (c) 1  (d) -0.4  (e) 2\/11  (f) 1\/49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 - 1. Let n be 0 + 1 + 2\/(-4). Let h = -2.2 + 0.2. What is the closest to n in h, -5, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(475) - (sqrt(475)*-2 + -1))*-3*6 + -3)**2 + -2.\nAnswer: 11340*sqrt(19) + 1385541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 180 and 13.8.\nAnswer: 2484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -28*a + 26*a. Suppose 0 = -2*w + a, 5*t - w + 5 = 6*t. Solve 4*s + 0*s + 4*i = -20, t = 2*s + i + 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3548646097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -36404517*o**2 + 63652*o - 3 wrt o.\nAnswer: -72809034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 133867\/51 - 12739\/34. Let l = u - 2258. Find the common denominator of l and 438\/(-10)*(-1)\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 80244*j**4 + j**2 - 459671 wrt j?\nAnswer: 1925856*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1402184294?\nAnswer: 2, 7, 14308003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 37271096 * 0.3\nAnswer: 11181328.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:37 PM and 1:30 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*c - 206*c + 54 - 38*c**2 - 53.\nAnswer: -38*c**2 - 176*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -26.24 less than -654909?\nAnswer: -654882.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - 2561*b**4 - 45*b**3 - 2*b + 2 + 2559*b**4 in the form i*b**4 + q*b**2 + o*b + r*b**3 + v and give r.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mwnnmnxnxmmbmnx. What is prob of sequence wb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 281.9 - 277.9. Let n = -1 - -3. Which is the closest to n?  (a) -23  (b) -0.5  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -o - 4*o + 185, 191 = -5*n - o. Let z = -41 - n. Let j = 4 + -3.7. Sort -0.4, z, j in descending order.\nAnswer: j, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dojsdefj. What is prob of picking 2 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -7*v + 16*v**2 - 15*v**2 + 4 + 0*v. Let d be j(6). Let f = -0.15 + 0.25. Which is the third smallest value?  (a) f  (b) 2  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h + 3. Let t be p(-5). Let x(v) = v**5 + v. Let a(r) = 8*r**5 - 7*r**2 - 2*r. Let o(y) = t*x(y) - a(y). What is the third derivative of o(m) wrt m?\nAnswer: -600*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2163 and 90949.\nAnswer: 1909929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.277552 millilitres to litres.\nAnswer: 0.001277552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1050 + 1603. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cnnccnuncccnccnccc. Give prob of sequence ccnn.\nAnswer: 55\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/8, -0.3, 3, -0.92, 0.01?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -21, 38, 5, -0.4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (39*o + 95 - 95)*((-3 + 3 + o)*(o - o + o) + o**2 - 3*o + 3*o)*(-3*o**2 - 25*o**2 + o**2).\nAnswer: -2106*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25039 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5936, 5952, 5968, 5984, 6000, 6016?\nAnswer: 6032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express ((53*b - 27*b - 16*b)*(-1 + 2 + 0) + 11 - 11 + 4*b)*(-4 - 3 + 4) in the form f*b + d and give f.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -308*f + 273*f - 410*f - 12*f - 277*f as w + q*f and give q.\nAnswer: -734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.03 and -20585.657.\nAnswer: -20585.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the second derivative of h**5\/50 + 301*h**4\/30 + 599*h**3\/15 + 299*h**2\/5 + 2315*h. Factor b(k).\nAnswer: 2*(k + 1)**2*(k + 299)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 146059009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -1509111*p - 1509143. Calculate s(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -120*d + 1. Let z(w) = -119*w + 1. Let x(c) = 6*b(c) - 5*z(c). Let r be x(-1). Calculate the greatest common factor of 18 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -189, -190, -191?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (6160\/(-105))\/(6*(-24)\/216)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/120120 and -43\/1585584.\nAnswer: 7927920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.4 - -0.2. Let u = -0.09 - -4.09. Let s = -3 - -6. What is the second smallest value in q, s, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43 = -2*q - 3*b - 28, 0 = 5*q + 4*b - 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 9 = -70*k + 69*k - 1, -10 = -5*k for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 922351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 1 y when three letters picked without replacement from vvqyvyvvjyjvyv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 101 = 4*t, -t - 1 = 4*b - 0. What is the remainder when 74 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z + 6. Let d be k(-6). Let y(g) be the third derivative of 1\/36*g**4 - 1\/270*g**5 + d - 2\/27*g**3 + g**2 + 0*g. Determine h, given that y(h) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4158 and 28495530.\nAnswer: 313450830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 27259 or 42446?\nAnswer: 27259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*m = 30 + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2.9 * -560\nAnswer: -1624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -356, -663, -868, -917, -756, -331?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 + -10. Let y = -0.374 - -0.334. Is g equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -42035, -84065, -126095, -168125, -210155?\n\"Answer: -42030*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1078*c**3 - 144*c - 623*c**2 - 56*c - 16 - 15*c**2 - 174*c**2 = 0. What is c?\nAnswer: -2\/7, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3.07 + -1.07. Put 0, k, -4, 2\/5 in descending order.\nAnswer: k, 2\/5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(104)*-3 + 6*(sqrt(104)*1 + sqrt(104)))\/(-4*(sqrt(288) + 2*sqrt(288))*4).\nAnswer: -sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4812 or -52926\/11?\nAnswer: -4812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 11010101101011111110111 (base 2) in base 3?\nAnswer: 111011202002011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -3 - (0 - (3 - -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100011111001100110110 - 101?\nAnswer: 100011111001100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) 6\/773  (c) -0.1  (d) 1  (e) 875\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - ((-3 - -8) + 0 + -6)) + 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 6\/2543, -3\/4, -4\/7 in decreasing order.\nAnswer: 0.3, 6\/2543, -4\/7, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -13169, -26160, -38975, -51614?\n\"Answer: 88*k**2 - 13255*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 801*-0.25709\nAnswer: -205.92909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*z + 46 = 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 454 or 1366\/3?\nAnswer: 454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 5, e: 8}. What is prob of sequence kekk?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000626 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5189 - 119377\/23. Let b = w - -295\/138. What is the third biggest value in 2, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4689.\nAnswer: 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -0.112, 0.2, -15?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 57135 or 57136?\nAnswer: 57135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -732, -1459, -2184, -2907, -3628, -4347?\n\"Answer: w**2 - 730*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -2*f**2. Let d(b) = 4*b + 27 - 16*b + 9*b + 2*b - 2. Calculate m(d(z)).\nAnswer: -2*z**2 + 100*z - 1250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -12*l - 72, -268 = b + 4*l - 850 + 300 + 296 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6326 is divided by 38.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**2 + 105*a + 1659. Let i be k(-14). Let p(g) = -27*g - 178. What is p(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(171) + -2)*1 + sqrt(171) - (2*(2*sqrt(171) + sqrt(171)) - sqrt(171)) - 3*(sqrt(171) - sqrt(171)*-3*3)).\nAnswer: -99*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 238 - 1970.\nAnswer: -1732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2841012 and 6.\nAnswer: 2841012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/19?  (a) -1  (b) -1\/3  (c) 1.7  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 5*p + 4 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 27 = 3*y, -b - 2*b = -y - 21. Suppose 2*i + 60 = b*i. What is the remainder when 10 is divided by i*((-24)\/20)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12881156.\nAnswer: 2, 3220289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 AM and 5:36 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 87 - 79. Is ((-60)\/p)\/(-3)*(12 + 0) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2449 - 7280\/3. Which is smaller: 21 or i?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 92, 391, 892, 1595, 2500, 3607, 4916?\nAnswer: 6427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 686.1172um in nanometers?\nAnswer: 686117.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/440 and 72\/35.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(-3) - 46\/(-102). Let f be (-148)\/(-20) + 4\/(-10). Let o = 10 - f. Which is the closest to -0.1?  (a) u  (b) -4  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 59*h**2 + 3. Let d(f) be the first derivative of f**4\/6 - 164*f - 93. Let l(b) be the first derivative of d(b). Calculate p(l(v)).\nAnswer: 236*v**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -6*p**2 - 101*p - 28. Let b be a(-16). Which is smaller: 43 or b?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the second derivative of 175*c**4\/12 - 7*c**3\/3 + 39*c**2\/2 - 106*c. List the prime factors of m(3).\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -745638, -745635, -745632?\n\"Answer: 3*f - 745641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 129064.70036 + -106.3.\nAnswer: 128958.40036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1116 = 5*i - 0*i - 41*i for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1110\/13 + -16722\/247. Let l = -1839\/133 + b. What is the common denominator of -54\/7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -538.52 to the nearest ten.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 18*h**3 + 74*h**2 - 12088*h - 1344.\nAnswer: 2*(h - 24)*(h + 28)*(9*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42268169?\nAnswer: 42268169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/(n**23*n)))**36)**42 assuming n is positive.\nAnswer: n**36288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yysayyyssyysssayyy. What is prob of sequence yay?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**3 - 3*o**2 + 3*o + 3. Let r be s(4). Let b = r - 29. Suppose 2*d = 4*u + 430, -5*d + b*u - 4*u = -1051. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 3 k when four letters picked without replacement from {c: 4, n: 6, k: 4, v: 5}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13839 - -13874. Let l be ((-25)\/(-2))\/(2\/4). Calculate the highest common divisor of l and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 15*v + 117. Let w be b(-8). Sort w, 5, -86 in increasing order.\nAnswer: -86, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5802, 5795, 5788, 5781, 5774, 5767?\nAnswer: 5760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22199534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -19 + 31. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -3*s**3 + 8*s**2 + 3*s + 1. Suppose 5*n = b + 239, 2*n + 2*b - 134 + 48 = 0. Let q = n + -53. Is w(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**35*v**(4\/5)*(v**37)**(-16) assuming v is positive.\nAnswer: v**(-2781\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of d*q*v + 7*d*q + 1195*d*v**2 + d*v - 21*d + 6884*q*v**2 + 2*q + 2*v - 69 wrt v.\nAnswer: 2390*d + 13768*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-22)\/(-4) + 4\/(-8). Let k be (-135)\/1260*(-8)\/(1 + 1). Which is the nearest to 2\/7?  (a) k  (b) s  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*k - 7*k = 2*s + 19, s - 13 = -3*k. Sort 0, 18, s, 1 in increasing order.\nAnswer: s, 0, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 - -1 - 1) + -2. Let n(d) = d. Let c be n(-2). Put l, 1, c in descending order.\nAnswer: 1, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2  (b) -0.3  (c) -1\/2  (d) 61849  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63082 is divided by 21026?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -12, 1, -27, -197 in descending order.\nAnswer: 4, 1, -12, -27, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -8*v**2 - 2*v. What is t(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -126 + 11.425.\nAnswer: -114.575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.295493323 to four decimal places.\nAnswer: -0.2955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 15 = -8*i, -4*i - 28 = -4*v. Calculate the greatest common divisor of 572 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 642999 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 2*z**4 + 1 + (-2*z**2 - 3*z + 3*z)*(0*z**2 + 0*z**2 - z**2) + (-23*z - 564*z - 166*z)*(0 - 2*z**3 + 0) - z**4 + 2*z**4 + z**4.\nAnswer: 1512*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -5539, -11075, -16611, -22147, -27683, -33219?\n\"Answer: -5536*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76651 = 17*a - 54725. Is a a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*b**2 + 51*b**2 + 92*b**3 - 58*b**2 + 3*b**3 - 2*b**3 - 4*b**3 + (-2 + 4 - 4)*(-b - b**3 + b).\nAnswer: 91*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 65412.87 decades in months?\nAnswer: 7849544.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/4 and 11\/52962.\nAnswer: 105924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - p = 11285*m - 11282*m + 3 - 1, -5*m - 3*p + 6 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011 + 10?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5462298*l + 16386797*l - 5462205*l - 5462292*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000008754 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put together -84 and 1.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/9 + (-705)\/(-135). Let c be -1*(m\/25 - 480\/25). Calculate the highest common factor of 399 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 4, i - 6 = 4*s + 4. Let g(b) = -b**3 - 3*b**2 + 10*b + 5. Let w be g(-7). Let v = w + i. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 24 + -19. Suppose -4*y - 4*h + 4 = 0, -w*h + 5 = y - 0*y. Suppose 0*q - 2*q + 6 = 0. Solve -v + y = q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 107309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of -6855*q**2\/2 + 3776*q + 775. Differentiate p(g) with respect to g.\nAnswer: -6855","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 51009 and 9?\nAnswer: 153027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -4\/3, 0.2, -0.2, -2\/7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**3 - 6*n**2 - 6*n - 5. Let s be c(-5). Suppose s*m - m + 14 = 0. Calculate the highest common factor of 98 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10 + -148. Let u = p + 201. Suppose -w + 23 = 3*a, -w + 0 = 2*a - 14. What is the greatest common divisor of u and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5421785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*d + 203 + 204 - 432.\nAnswer: 2*d - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -p**4 - 19644*p**3 - 113416443*p**2 - 158323316800*p - 158209920000 = 0.\nAnswer: -8800, -2043, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 309193.\nAnswer: 309193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33175?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1\/30)\/n)**8 assuming n is positive.\nAnswer: n**(-124\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-42)\/(6\/8*1). Let t = z + 95. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 0*t - p - 10 = 0, 16 = -2*t - 3*p. Let f be t\/(1 + (-16)\/15). Suppose 2*k - 3*a - f = 0, 5*a - 1 = -4*k + 15. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the second derivative of n**5\/20 + 7*n**4\/12 + 2*n**3\/3 - 3*n**2\/2 + 3*n. Let c be g(-6). Solve 0 = 4*m - 5*z, 3*z - 13 = -2*m + c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the second derivative of -t**4\/18 - 47*t**3\/9 + 81*t - 1. Factor j(m).\nAnswer: -2*m*(m + 47)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -2*n**2. Let p(a) = 63036016*a. What is r(p(d))?\nAnswer: -7947078626304512*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/1)\/((2\/4)\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 29 = 197. Let c be (-2)\/t + 52\/182. Is c greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -46\/38749 and -60\/32820403.\nAnswer: 32820403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/36 and -63\/79590716?\nAnswer: 716316444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.56 - -2.9. Let j = m - 0.3400148. What is j rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q + q**2 - 42*q**3 - 25 + 40*q**3 + 29. Determine p(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 63613853 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 2*m + 3*m = 14, 0 = 4*l + 5*m - 26. Suppose -2 + 0 = -2*v + l*b, b = -4*v + 31. Solve v + 3 = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -g**5\/2 + 1028*g**4 + 71477*g**3\/2 - 436264*g**2 + 1043218*g - 643720 = 0.\nAnswer: -44, 1, 2, 7, 2090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 - -22. Let d = 3543 + -3502. What is the remainder when d is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*y**3 + 95013699*y - 95013699*y.\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/35*1 - (-10)\/14*-1.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 5 - 2. Suppose 0 = 4*i + 2*k - 24, 3*k + 3 - 11 = -2*i. Solve 0 = h*r + i + 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -244.96717 - 36.89553. Let g = y - -282. Round g to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**3 - 8*o**2 + 19*o - 8. Let t be x(-10). Solve -j + t*m + 9 = 0, -j + 0*m = 2*m + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4655, -1\/4, 5, -36, 0.\nAnswer: -4655, -36, -1\/4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*o = -6*d - d + 4*d + 102, -d - 5*o + 26 = 0 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 312 + -312. Let m(j) = -12*j + 444. List the prime factors of m(n).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5908403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are -12703044 and -12703043 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*u - 16*u = -45*u + 190. Solve u*h = 28 + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3665\/210 - 2\/12. Suppose -4*g + 10*s - 55 = -169, g = -5*s - 9. Which is bigger: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/v**(3\/10)*v*v\/v**(1\/3)*(v\/(v**(-4)*v))\/(v**(-2\/7)\/v)*(v\/v**(2\/3))**(-5\/6)*(v\/(v\/v**(2\/5)))\/v**(1\/5) assuming v is positive.\nAnswer: v**(2386\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (16\/12)\/((-3)\/(-5) - (-1)\/15). Solve -7*m - 16 = 4*o - 6*m, -28 = 4*o - f*m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -87\/130 and 43\/14.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 58903065 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of 25*x**3\/6 - 33*x**2\/2 + 2332*x. Let b(t) = 2*t**2. Determine b(i(k)).\nAnswer: 1250*k**2 - 3300*k + 2178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 21*f. Let u(z) = -15 + 8*z - 31*z + 14*z + 10*z. Let d(b) = 2*b - 18. Let t(i) = 5*d(i) - 6*u(i). Calculate 2*q(o) - 11*t(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26371 is divided by 1099?\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 + 0 - (-2 + 0)) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -45, -5, 145, 1 in decreasing order.\nAnswer: 145, 1, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -2214*w + 737*w + 744*w + 736*w. Let i(a) = 28*a**2 - 8. Let m(d) = -19*d**2 + 5. Let v(c) = -5*i(c) - 8*m(c). Determine v(b(n)).\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 11:28 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -11*w**2 - 68*w - 10. Calculate f(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 67 + -52. Let t be n\/12*(1 + 7). Solve -d + 6*d - t = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/14*((-561)\/(-90) - 6). Let j(t) be the third derivative of -y*t**5 + 0*t**3 - 1\/24*t**4 - t**2 + 0 + 0*t. Find the second derivative of j(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*t + 0*t - 67 - 4*t.\nAnswer: -t - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -640, -1, 1\/5?\nAnswer: -640","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(99)*5)\/(sqrt(9) - sqrt(63)\/(3*sqrt(7)))*-4)**2*-6.\nAnswer: -534600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -2*q + 20. Determine c(-19).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 26 - 68. Let j = s + 84. What is the highest common divisor of j and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3462 - 3461.1794. Round o to two decimal places.\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 - 75?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/345  (b) 1\/7  (c) 0.2  (d) 1.7  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00005 to 6 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -27*r + 164. Let v be z(7). Let h = -0.3 + 0.2. Which is smaller: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6 - 1)*5\/(-50)*-178. Let r = m + -87. What is the second derivative of -16*v + 12*v**4 - 24*v + 16*v**4 - r*v**4 wrt v?\nAnswer: 312*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 167086?\nAnswer: 2, 19, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 + 12a647?\nAnswer: 12a642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*221\/(-68)*2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*c**2*g - 4334*c**2*x - 6*c*g*x + 19*g*x - 3*x with respect to g.\nAnswer: 5*c**2 - 6*c*x + 19*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 - 2*q - 2. Let l be o(-2). Let t be (-2 + 2)\/(0 - -1). Suppose t = 3*y + 3*s - 21, 0 = -2*y + l*s - 2*s - 10. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 36*i**5 - 3158*i**3 - 2230172*i**2 wrt i.\nAnswer: 2160*i**2 - 18948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fourty-one halves of a meter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-14*1)\/(-5 + 7). Let m(i) = i**2 + 8*i + 12. Let a be m(s). Let l(n) = -n**3 + 2*n**2 + 5*n - 2. Let q be l(3). Do q and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-6) - (23001\/(-2227) + 10)\nAnswer: -2\/393","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 28487 and 0.901965162?\nAnswer: 28486.098034838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -55*(6\/60*-4)\/1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77 = -8*a - 13. What is the lowest common multiple of a and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-196 - -1)\/(-9 + 8). Suppose 3*u = 3*k - d, -4*k - k = -u - 341. Is k a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.7 + -0.85. Let f = 20252 - 20251.8. Which is the second biggest value?  (a) -2\/15  (b) f  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 3:59 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 529436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49731 is divided by 307.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 44*d + 43*d + 3, -3*d + 9 = 0. Let 2\/13*f**4 + 0 - 2\/13*f**3 + s*f - 4\/13*f**2 = 0. What is f?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x**4 + 53056*x**3 - 318204*x**2 + 159056*x + 530320 = 0. What is x?\nAnswer: -1, 2, 5, 13258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -40*d**2 - 90*d - 80. Let v(r) = r**3 + 40*r**2 + 92*r + 80. Let s(x) = 5*v(x) + 4*y(x). Factor s(w).\nAnswer: 5*(w + 2)**2*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a kilometer in meters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 8 = -4*n. Let y(a) = 3*a - 2. Let z(d) = 10*d - 7. Let c(p) = 14*y(p) - 4*z(p). Give c(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 24  (b) 3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(8\/(-4)*20\/(-40))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -62, -149, -294, -497, -758?\nAnswer: -1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (16\/3)\/(221\/(-117)). Is z at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55.4758 times -0.5?\nAnswer: -27.7379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -4*c**2 - 51*c + 14. Let h be i(-13). Let s be 4*h + -21*6\/(-6). Which is smaller: s or 28?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1749719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 415464474 to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*w + 7*w + 230 = 0. Let o = w + -19. What is the smallest common multiple of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + 2*r - 46, 5*y - r = -9 + 77. Let u = -807 - -814. Solve 4*q + u = 3*m - 0*m, -5*q = -2*m + y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -469, -21, 11, 77 in increasing order.\nAnswer: -469, -21, 2, 11, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-12))\/(2\/3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(-4))\/l)**(17\/2) assuming l is positive.\nAnswer: l**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1180214758 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 28842 and 1320?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/10)\/(18\/30) - (-16)\/(-48)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2181*h + 2187*h + 84 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 11274 divide 2497623767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 34976410 to the nearest 1000000.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + -5. Let k be -1*n\/2*1. Let t(r) = 3*r + k - 4*r - r**3 - 6*r**2 - 2*r. Determine t(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 AM and 11:49 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0481 to 3 dps.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 91734703\/12 + -7655425. Let r = -10857 - w. Find the common denominator of r and 7\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9768 divided by -2.\nAnswer: -4884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 12*x. Let g be v(1). Let a = g - 10. Factor -2\/7*u**a - 8\/7 - 8\/7*u.\nAnswer: -2*(u + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4.4 in -1\/3, 0, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -210 + 222002010010120?\nAnswer: 222002010002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 20 = 40. Suppose 8 - 56 = -2*x. Calculate the highest common factor of x and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - 3 + 115. What is the greatest common divisor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -3*h**2. Let i(r) = 3*r + 2. Let m(t) = 5 - 2*t + 3*t + 2. Let l be m(-9). Let a(p) = -4*p - 3. Let k(x) = l*a(x) - 3*i(x). What is k(v(o))?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -206 - -204. Let n be u\/(-6) - (1024\/(-12))\/(-16). Suppose -5*t = -0*t + 40. Which is smaller: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j - 145 - 221 = 0. Let n = 9 - j. Does 35 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5634 and 355881?\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2306, 2190, 1872, 1250, 222, -1314?\nAnswer: -3460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 - 11*v**2 + 23*v + 33. Let o(g) = -13*g - 7. Calculate the remainder when u(-13) is divided by o(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -909*m**2\/5 + 14541*m\/5 + 48\/5.\nAnswer: -3*(m - 16)*(303*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**2 - 6*l + 3. Let s be q(-6). Suppose -s*u = -15 - 9. Which is smaller: 10 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3 and 213.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -q**4 - 9*q**2 - 2*q + 19*q**2 - 9*q**2 + 79 + 34*q**3 - q**2 wrt q?\nAnswer: -12*q**2 + 204*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8) - ((sqrt(72))**2 + 5)) + (sqrt(200) + sqrt(200) + 2)**2 - ((1*sqrt(72))**2 + sqrt(10)\/sqrt(5) + 0 + -1).\nAnswer: 81*sqrt(2) + 656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 30927*i + 12438.\nAnswer: 30927","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 177096?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34 - 27 - ((-8 + 5 - -5) + 13).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/135, -3, 0, -4.\nAnswer: -4, -3, -2\/135, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*w = 6*w - 3*a - 51, -3*w + a = -17 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14 + -29. What is the fourth smallest value in -2\/7, 1\/7, 1\/5, t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -4*o**2 - o**3 - 6 - 4*o**2 - 7*o - 4*o**2 + 7*o**2. Let j be c(-4). Solve 0 = -q - 5, 4*f + 3 - j = 3*q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:41 AM and 6:32 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1  (b) -177  (c) 3617\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 24*h + 9*h + 4 + 1 to the form q*h + w and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2623586 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 26250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110100011000 - -110100101?\nAnswer: -101101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1*5\/6*-1. Let r = -43 - -21. Let k = r - -26. Which is the third biggest value?  (a) -3  (b) g  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -0.1, -15, 0.029, 2, 150, -6\/13?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.4  (b) 31165  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -3*b + 5. Let f(v) = -2*v + 3. Let s(c) = 5*f(c) - 3*l(c). Let t be 6 + (35\/7 - 6). Let d(x) = 3*x + 2 + 4*x - x. What is t*s(w) + d(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 279 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 29, 51, 123, 269, 513, 879, 1391?\n\"Answer: 4*w**3 + w**2 - 9*w + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the first derivative of 10*d**3\/3 - 25*d - 21. Find the first derivative of o(s) wrt s.\nAnswer: 20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51461*s - 51461*s - 197*s**2.\nAnswer: -197*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/6 + 67\/3. Suppose -3*z + 2*z + 70 = -5*t, -t = -2*z + w. Let h = -6 - t. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 297017 and 61306?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1012 - 1268 = -6*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9959 + -9922. Is c less than or equal to -0.36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (719 - 776) + (2 - (4 + -2 - 13)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -270*i + 127*i + 114*i = -464 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6\/(-4))\/((-12)\/8). Sort 2, y, 3 in increasing order.\nAnswer: y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -106.3212 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 66819822 by -1.\nAnswer: -66819822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n = -5*p + 79, 10*n - 65 = 371*p - 378*p for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 138 + -133. Solve p*x - 9*x = -12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -45, -5 in increasing order.\nAnswer: -45, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**3 + 8*v**2 - 8*v + 12. Determine p(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 5) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 168599 is divided by 84068.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (6\/1695)\/(12 + 31176\/(-2580)) and -40\/33.\nAnswer: 11187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -205 + 522. Suppose -m - 2*w + p = 0, -w + 739 - 114 = 2*m. What are the prime factors of m?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (354 + 277 - 695)*(i**3 - 3*i**2 + 3*i**2) in the form p*i**2 + k*i + y*i**3 + h and give y.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:23 AM and 8:06 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38160 is divided by 887?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -4554.\nAnswer: -2\/2277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40\/(-175) - (-12)\/28?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of -1 + (-45)\/9 - -200 and 1455.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 132 = -2*z, -155 = 5*z + 4*w + 193. Calculate the remainder when (-2 - z\/27)\/((-4)\/(-318)) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rqpzqpal. Give prob of sequence aq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -18, 4, 1\/3, 0.99, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 43909 divided by 2.\nAnswer: 43909\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - (3 + -5))\/(0 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add -51232 and 0.071366.\nAnswer: -51231.928634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 195572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 + -1. Let x = 0.1 - -0.6. Let q = k + x. Which is the closest to 2?  (a) -2  (b) 4  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*f - 4 = -13*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjbcjbjbc. What is prob of sequence cjcj?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 204, 412, 642, 906, 1216, 1584, 2022?\n\"Answer: 2*i**3 - i**2 + 197*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 5246 and 1924854\/367 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the third derivative of -a**5\/60 - a**4\/4 + 5*a**3\/3 + a**2. Let k be g(-7). Let o = -5 - -4.9. What is the second smallest value in k, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/15)\/k)\/((k**(-2\/37)\/k)\/k) assuming k is positive.\nAnswer: k**(548\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6404654 is divided by 341?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 49 + (8 - (11 + (0 - -7))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-5544)\/(-220))\/(-9))\/((-14)\/112)?\nAnswer: 112\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9885 is divided by 94.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 283723 (base 10) to base 7\nAnswer: 2261116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 275 + 603*m - 275 to the form w + k*m and give k.\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10523, -10493, -10433, -10343, -10223?\nAnswer: -10073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1246, -0.2, 1\/35, -2\/3, -16, -0.4?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -g + 7. Let o be 1\/(-3)*12\/(-1). Suppose o*r - 6*r + 130 = 0. Calculate the remainder when r is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.03872 + 0.043218. What is l rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 2*y**3 - 47*y**2 - 18*y - 17. What is the remainder when 1901 is divided by z(24)?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2 - 147*t + 432.\nAnswer: (t - 144)*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/7 of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2169, -2237, -2297, -2349, -2393?\nAnswer: -2429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 954827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 = 21*h - 48 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -5 + 6 - (-50)\/(-35). What is the nearest to -0.2 in w, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6.409 * -3732\nAnswer: 23918.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 115*j - 18 = -117 - 16 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in thirty-seven halves of a gram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 26920771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s\/s**(-22))*s*s\/s**(-2\/43)*s)\/(s\/s**(4\/9)*s)**(-2\/49) assuming s is positive.\nAnswer: s**(-51173\/2709)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -27471272, -27471193, -27471062, -27470879?\n\"Answer: 26*s**2 + s - 27471299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 43*d**2 + 1. Let l(o) = o**3 - 4*o**2 + 2*o + 4. Let y be l(3). Let n be i(y). Suppose 0 = p - 4*p - 2*a + n, 17 = p + 3*a. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**3 - 3*h**2 - h - 8. Let p = -64 + 68. Let q be c(p). Solve -4 = -q*f + 16 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*m**3 + 4*m**3 + 2*m**3 - 136*m + 11 + 273*m - 140*m to the form s*m**3 + v + r*m**2 + l*m and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1201 + 10?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 + (1 + -3 - 2) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**4 + 2492*k**3 - 1555006*k**2 + 3102540*k - 1550025.\nAnswer: -(k - 1245)**2*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -4 - ((-34 - -17) + 21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1\/897, 0, 0.2 in descending order.\nAnswer: 0.2, 1\/897, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*c + 102 + 42. Calculate the highest common factor of c and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**2 - 15*s + 37. Let m be h(14). Solve -5*i = -2*b + m, -3*b - 3*i + 2*i - 8 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -264*q + 780 - 2*q**2 + q**2 - 6*q**2 + 9*q**2 - 3*q**2 wrt q?\nAnswer: -2*q - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes after 9:05 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-1 - 10\/(-15))*-459 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -34 - -18. Let v be (k\/24 - (-2)\/3)\/2. Is -1\/2 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.3 * 215.\nAnswer: -279.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1095 - -0.2095. Let g(z) = -z**2 - 13*z. Let f be g(-6). Let v be -1*9\/f*-2. What is the third biggest value in 1, r, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 14*a**5\/3 + 17296*a**4 - 2932870*a**3\/3 + 1868720*a**2 + 2932856*a\/3 - 1886016 = 0.\nAnswer: -3762, -1, 1, 2, 376\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 0 - 15*v - 115*v + (1 - 6 + 3)*(2 - 2 + v).\nAnswer: -132*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -36, 0.3, 4, -1\/4 in increasing order.\nAnswer: -36, -1\/4, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-12)\/(-20)*14\/(84\/150). What is the highest common factor of 745 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1661 greater than 1684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -8*f**3 - 13*f**2 + 18*f + 5. Does 25 divide z(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7197080939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13.4 + 14.4. Let b = -1.25 - -0.15. Let w = 2.9 - b. Is w greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i*i**(1\/3)*i)*i)**9)**(-17) assuming i is positive.\nAnswer: i**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14 - 10. Let w = q - 1. Let i(j) = -68*j + 147*j - 50*j - 43*j. Let g(h) = 5*h. Calculate w*i(b) + 8*g(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -27392288 divided by 1956592\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1220401 and 455.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6244638209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 252834 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -3*h - 681771, 2*u - 4*h - 118998 = 335528. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + 1.3. Let m = 0.3 - g. Let j = 16 + -18. Which is the biggest value?  (a) j  (b) -0.1  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 34 + -9. Suppose 17 = u - 2*x + 7, -b = -2*u - x. Let a be ((-416000)\/u)\/(4\/(-30)). Round a to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 37\/5 of a day?\nAnswer: 10656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 59959128?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 6333 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the second derivative of v**4\/3 + v**3\/2 - 3*v**2\/2 + v. Let i(n) = -n**2 - n + 1. Let l = 16195 - 16198. Determine l*i(r) - h(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -19 - -46. What is the remainder when q is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 5*m**4 + 665*m**3 - 26345*m**2 - 600065*m + 2018940 = 0.\nAnswer: -161, -19, 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-135)\/(-70) - (-2)\/(-2) and 41\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 less than -222982?\nAnswer: -222982.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**2. Let y be 44\/(-6) + (-4)\/6. Let u = y + 11. Let r(t) = 3 - 2*t - u. Calculate c(r(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 764 - 280. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*a - 2*a - 7560 = 0. Let m be ((-1)\/(-3))\/(15\/a). Calculate the highest common divisor of m and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - -4) + -1 + 3 + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2356 and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -55cc01 (base 16) to base 12.\nAnswer: -1a71b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes after 6:39 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 10\/40 + (-459)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 3:47 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 719418 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pppppppppppap. What is prob of picking 1 a and 1 p?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m**2\/5 - 18*m\/5 - 36\/5 = 0 for m.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 2*y + 7. Let o be x(-7). Let k(n) be the third derivative of -n**6\/120 - 7*n**5\/60 - n**4\/24 + 5*n**3\/6 + 43*n**2 + 4*n. What is k(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 204787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 155 - -5?\nAnswer: 15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*y + 3334 - 3334.\nAnswer: -34*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 1\/3, -10, 5 in descending order.\nAnswer: 5, 1\/3, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-4)*-3*(3 + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.06 + 0.46. Let k(q) = -16*q - 8. Let h be k(-6). Let f = 790\/9 - h. Which is the smallest value?  (a) 1\/5  (b) t  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 588.4458 milliseconds in minutes?\nAnswer: 0.00980743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10691, -21542, -32393?\nAnswer: -43244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 53 - 39. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1562 + -1539. Solve 0 = 13*l + 75 - x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -33*j + 62*j - 32*j - 7 to the form f*j + c and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4*1 + (-871)\/(-13). Suppose -9 - x = -4*q. Suppose -4*n + q = l, 0*l = l - n - 30. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 84 + -79. Suppose 2*a - w*x - 561 = -8*x, -4*a + 3*x + 1167 = 0. What is a rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -36 - 8. Let f = 33 + 3. Suppose 19 = b - f. What is the greatest common factor of q and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 270 and 900?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, 152, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:51 PM and 8:46 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3478\/235)\/((-35)\/25)*(-35)\/(-10).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 34*u**2 - 25*u + 26. Determine m(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2889658 is divided by 1444823?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p - 1. Suppose 4*c - 26 - 2 = 0. Let q be i(c). Solve -f + q = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2627, -2624, -2621, -2618, -2615?\n\"Answer: 3*m - 2630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 3 + 35 + -35.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-375)\/(-20) - 1\/4)*-2. Let u = -39 - w. Is u\/(-4) - 966\/(-28) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*q - 43110 + 133510 = 0. Calculate the smallest common multiple of q and 40.\nAnswer: 4520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the first derivative of -6*s**2 - 25*s + 16*s + 0*s**3 + 35 - s**3. Factor c(o).\nAnswer: -3*(o + 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -308, -324, -344, -362, -372, -368?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5327, -10657, -15975, -21275, -26551, -31797?\nAnswer: -37007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 11 + 227 + -108 + -225\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 93.94 - 96. Let r = 0.06 + d. What is the smallest value in 1\/2, -0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**3 + 44*o**2 + 5*o + 33. Determine q(-44).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from ibkhp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 67  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1184 and 1216.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -132730.4895 rounded to the nearest 100?\nAnswer: -132700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15660333, 15660330, 15660327, 15660324?\nAnswer: 15660321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/320 and -145\/2982.\nAnswer: 477120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1489*d**3 - 253*d**3 + 278*d**3.\nAnswer: -1464*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3\/4 + 133*w**2\/2 + 41097*w\/4 - 41625\/2.\nAnswer: -(w - 375)*(w - 2)*(w + 111)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-2)\/10)\/((-24)\/(-15)))\/((-356)\/1780).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a - 3. Let o be ((-54)\/8)\/(-9) + (-36)\/(-16). Give w(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -8803927 + -4?\nAnswer: -880392b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11434 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 times -126.259?\nAnswer: 1515.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*b - 4*b + k - 25, -5*b = 5*k. What is the second smallest value in -4, b, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 2*sqrt(13)*-6.\nAnswer: -12*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00025421 rounded to 6 dps?\nAnswer: -0.000254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 220955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 96\/(-72)*6\/28. Which is smaller: 1.3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4422 (base 9) to base 16\nAnswer: cbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 258 divide 28934184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1063800663.\nAnswer: 3, 354600221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/((-20)\/(-42))*8\/(-24).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 122 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -811, -1329, -1843, -2353?\nAnswer: -2859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 144 = 5*a - 201. Suppose 3*g - 6*t = -4*t - 8, 2*g + 8 = 2*t. Is 27 a factor of (-2 - g - a)*(2 + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:01 PM and 8:54 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 80658828 a multiple of 1050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (9\/(-2))\/(57\/(-38)). Let g(o) be the third derivative of -2*o**2 + 4\/3*o**s + 0 + 1\/15*o**5 + 0*o - 1\/2*o**4. Let g(y) = 0. What is y?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {m: 2, i: 2, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 3*v**2 + 3)*(-5*v - 13 + 17 - 5) as q*v**3 + i*v + u*v**2 + n and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10087608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-8)\/3)\/4*-3. Let c(w) = -148 + 4*w + 150 + 5*w**2 - w - 3*w**q. Let b be c(-2). Solve -2*p + p - b = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m be 0\/(2\/8 - 65\/20). Let s = -3 - -1. Which is smaller: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 111 a factor of 82258215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1688738*k + 9319584.\nAnswer: -1688738","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -31*v**2 - 179*v + 925. Determine p(5).\nAnswer: -745","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*j**3 - 2*j**3 + j**3 - j**3 + j**3 - 2*j**3 - 2*j**3 - 4*j**3 + 3*j**3 + (4*j**2 - j**2 - 5*j**2)*(0*j + j - 3*j) + 0 + 0 + 2*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*o + 828 = 40*o + 2*o. Solve 0 = 45*r - o - 78 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 208 divided by 39\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-2)*p)**(-2\/31)*((p**(-2\/5)*p)\/p)\/p**(6\/13) assuming p is positive.\nAnswer: p**(-56\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*x + 6*x - 2*x)*(7729 - 22640 - 1210)*(3*x - 2*x + 2*x) as r*x**2 + t + v*x and give r.\nAnswer: 48363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 5\/4 of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2668 + -2663. Which is the closest to -2?  (a) -1  (b) 37  (c) m  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -8*b + 114. Give h(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2189\/(-2189)*1*43\/1.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand y**3 - 11*y**3 + 0*y**3 + 28 - 4*y**3 - 28 + (1 - 1 - y**3)*(3 + 0 - 2).\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - 0. Let m = k + -2. Let w(g) = 3*g - 3. Let f be w(2). Sort m, 2, f in increasing order.\nAnswer: m, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 119 = -5*n, 2*a + 2 = -2*n + 44. Calculate the highest common divisor of n and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 626839781*n**3 + 3046337*n**2 + 63 wrt n.\nAnswer: 3761038686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 + 7*j**2 + 10*j - 5. Let o be i(8). Suppose o = -15*m - 4. Let b = 2.01 + -2. Is b < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*a - 66 = -306 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 + 6. Let s(r) = -11*r**2 + 2*r + 1. Let u be s(-1). Let b be l\/3 + 8\/u. Solve -o = b*m, 0*o = 4*m - 2*o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*s + 781 - 22722 = 25449. What is the remainder when s is divided by 128?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**2 - i + 1. Let x(t) = -9*t - 3. Let q(n) = 3*c(n) + x(n). What is the second derivative of q(y) wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 - 8*t**2 - 14*t - 10. Let d(i) = 2*i**2 - 4*i + 1. Calculate the remainder when d(3) is divided by c(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -14937.54, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -588018652 - 170148.\nAnswer: -588188800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -5, 30, 0 in descending order.\nAnswer: 30, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 + -128?\nAnswer: -12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hedhhddhddd. Give prob of picking 1 e and 1 h.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 10:48 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c\/(c**(-3\/8)\/c)*c)**(-1\/52)\/(c**(8\/5)*c\/c**8*c) assuming c is positive.\nAnswer: c**(8977\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/2 + (-1)\/6. Suppose 5*i + 3*w = 10*i + 90, -18 = i - 4*w. Let b = -16 - i. What is the third smallest value in 5, b, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111149.14 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 - ((-16608)\/(-135) + -1). Let o = f + 120. Find the common denominator of o and -13\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 20*z - 7*z**3 - 2*z**2 - 20*z - 2*z**4 - 1 as r + j*z**3 + x*z**2 + n*z + t*z**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -117237, -2, 3 in decreasing order.\nAnswer: 3, -2, -117237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 37509626515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2741071 to the power of 1\/2, to the nearest integer?\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 4*a - 4 = 0, 2*a - 7*a = -10. What is the units digit of (-6)\/16*s*(-2)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p**3\/7 + 71*p**2\/7 + 10*p = 0. What is p?\nAnswer: -70, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 783039034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of 33 - 5\/3*h**3 - 8*h - 1\/4*h**4 + 5\/2*h**2. Give n(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17 + -10. Calculate the remainder when g is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-3)\/(-42))\/(((-3)\/(-1))\/12). Let x = -26 - -43. Sort -1, y, x, -4 in decreasing order.\nAnswer: x, y, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 - -2. What is the smallest value in h, 2\/13, -3\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 5485908 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 + 0. Suppose -3*a + 0 - l = -3*r, 1 = -2*r - 5*a. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-4\/5)*h*((((h\/(h\/h**(-3)))\/h)\/h)\/h)\/h)\/(h*h**(-2\/5)*h*h**(3\/4)) assuming h is positive.\nAnswer: h**(-183\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -638*m + 2891. Calculate j(5).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + u = -2*x + 16, 2*u = 0. What is the derivative of -1 + 2*a**2 + 6*a**2 + 2*a**3 - x*a**2 wrt a?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 313074898.\nAnswer: 2, 1289, 121441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 2*h**2 + 3*h - 3. Let k be z(-3). Let s = 109 + -100. Solve k*g + s = 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -23731.41688 to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15343 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 + -15. Let c(d) be the third derivative of 0*d - 2\/3*d**3 - 19 - 1\/12*d**4 + 6*d**2. Give c(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.024649 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**5\/3 - 58*v**4\/3 - 500*v**3\/3 - 1172*v**2\/3 - 1066*v\/3 - 338\/3.\nAnswer: -2*(v + 1)**3*(v + 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from ultltuutttuttllutlll.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 8749163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 981772 is divided by 28875.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -9841617, -19683236, -29524855, -39366474, -49208093?\n\"Answer: -9841619*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11016571139 + -11016571132.740001243. Let n = f + -6.26. What is n rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 53.2 + -53. Let k be (-4)\/(-44)*(-45)\/15. Which is the nearest to k?  (a) 0.4  (b) f  (c) 4  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -56*0.0582509\nAnswer: -3.2620504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-9)\/(-3)*6\/9. Suppose 6 - g = -4*p + 5*f, f + 4 = 2*p. Suppose p*b - 6 = 2*m, -b = 3*b + 4*m + 12. Solve b = -5*y + r + 20, -y + 4*r - 5 = 2*r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:09 PM and 11:31 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-138)\/72 + -8 + 115\/15?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/((-40)\/(-24)*-3).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.42663 to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.036495 times -0.5\nAnswer: -0.0182475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes after 7:03 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 505479785 by -101095957.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/319320 and 29\/9356076.\nAnswer: 93560760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1094032, -1094033, -1094034?\nAnswer: -1094035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4249195?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + 3*z = 25*z - 88. Let m(a) = 16*a**2 - 15*a + 14. Let g(n) = 3*n**2 - 3*n + 3. Let s(l) = 11*g(l) - 2*m(l). Calculate s(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6411 + -6183. What is the remainder when 559 is divided by p?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 4*i**2 - 2*i + 5. Let p(m) = -m**2 - 1. What is -6*p(t) - x(t)?\nAnswer: 2*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 2*o**3 - o**2 + 8*o - 7. What is r(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111 = -39*o - 33. Solve 5 + 7 = -o*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*p + 46*p + 1 = -s, -3*s - 41 = 5*p - 46 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 19012, 76604, 172594, 306988, 479792, 691012, 940654, 1228724?\n\"Answer: c**3 + 19193*c**2 + 6*c - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(((1*sqrt(190) + sqrt(190) - sqrt(190))*-3)\/(2*sqrt(360)))**2.\nAnswer: -95\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**3 + 11*v**2 - 10*v - 2. Let h be p(10). Let q = -42 + 47. Sort 17, h, q in decreasing order.\nAnswer: 17, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 26 = -4*s, 5*s - 5*f - 49 = -9. Let w(u) = s*u + 7*u + 21 - 9*u - 18. What is w(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/72 and (-7)\/231*6*130\/(-12).\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 4249.553 micrograms?\nAnswer: 0.000004249553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -19*w**2 - 9*w - 5. Let x(c) = 9*c**2 + 4*c + 2. Calculate -13*x(n) - 6*z(n).\nAnswer: -3*n**2 + 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-23)*(-33)\/66\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48 + 2*g + 9*g**2 - 48.\nAnswer: 9*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17 - -31. Suppose 5 = -c + j. What is the remainder when c is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -176 + 254. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -11*f - 8. Let n(d) = -d + 1. Let x(z) = -4*z - 8. Let j(u) = -3*n(u) - x(u). Let i be (4\/(-3))\/((-22)\/1221). Let k = 66 - i. Give k*j(p) - 5*l(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - 10) + (-5 - (-6 + 4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 52685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3729776240 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q - 4*q + 8*q)*((0 - 1 + 3)*(0 + 3 - 1) + 3 + 0 - 2).\nAnswer: 35*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 - 5523421?\nAnswer: -5523413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-three eighths of a millennium?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 9*l**2 - 2*l. Give j(3).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -135 and -67.\nAnswer: 9045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106 + 110 = 6*l. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1640 at least as big as -59083\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(170)\/(sqrt(810)*1) + 2 + (-6*2*sqrt(17))**2.\nAnswer: sqrt(17)\/9 + 2450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 10\/17  (b) 2  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and -0.1339.\nAnswer: 0.6695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*p + 229725 = -72605. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes before 4:13 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1982.\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 21681900 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115 = -32*h - 147 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 5 + 25. Let y = b - -10. What is the second derivative of l + y*l - l**2 - l - l wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4 + 72 + 0 + -3. Suppose -2*u - 3*u = -p. Let q = u - 0. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -269610617 times 0.1?\nAnswer: -26961061.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100110101011001110011001 + 101?\nAnswer: -10100110101011001110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(-2)*(-12 - -2). Suppose -5*m = -f + 261, 3*m - 101 = s*m + 3*f. What is the units digit of (m\/6)\/((-2)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5\/2, -1\/24, 3281\/281, 3\/4, -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/6)\/(30\/(-45))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -a470 (base 11) in base 7?\nAnswer: -55304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 507 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3363?\nAnswer: 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**2 - 6*f + 3. Suppose -n - 12 = 2*n. Calculate the remainder when 43 is divided by q(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 240.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 48318*s**5 + 2149*s**4 - 2*s**3 + 2*s**2 + s + 3135359 wrt s.\nAnswer: 2899080*s**2 + 51576*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mqmm when four letters picked without replacement from {q: 8, x: 7, m: 3}?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 9 - (61 - (59 + -20))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10409, 20823, 31239, 41657, 52077, 62499?\nAnswer: 72923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**17)\/q*q*q**(-5\/6)*q)\/(q**(-8))**(2\/35) assuming q is positive.\nAnswer: q**(-3229\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 106211854?\nAnswer: 2, 7, 1429, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(108) + 5 + 1 + sqrt(108) + sqrt(108) - ((sqrt(108) + 0 + sqrt(108))*5 + sqrt(108) + 3).\nAnswer: -48*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104)*1*3 + sqrt(104)*4*6)\/(-2*sqrt(96)\/(sqrt(48)\/sqrt(4))*-6).\nAnswer: 9*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -47*f - 944. Let b(y) = -15*y - 322. Let h(a) = 17*b(a) - 6*l(a). Give h(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 586516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y - 1. Let q(z) be the second derivative of -2*z**3 + 0 - 1\/6*z**4 - 4*z**2 + 20*z. Calculate 10*p(b) - q(b).\nAnswer: 2*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-1222)\/52)\/((-1)\/4*10*6\/(-30))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 52 and 1560?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -4*y**4 - 6*y**3 - 2*y**2 + 12*y + 12. Let g(r) = -r**4 - 2*r**3 - r**2 + 4*r + 4. Let q(j) = -7*g(j) + 2*l(j). Let q(b) = 0. What is b?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 4 + 4*q + (4 - 4 - q)*(1 + 0 + 0) in the form v*q + y and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -74131, -148225, -222307, -296377, -370435, -444481?\n\"Answer: 6*s**2 - 74112*s - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -18969182*n**4 - n + 29831147 wrt n?\nAnswer: -227630184*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and 1079982.\nAnswer: 4319928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -4*l**2 - 12*l + 280 = 0?\nAnswer: -10, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 722918 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*a = -8*a + 52. Let r = a - -18. Solve 3*h + 4*j + 19 = 0, -h - r*j = -2*j + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the second derivative of 0 + 0*n**2 + 7*n + 1\/10*n**6 + 0*n**5 + 0*n**3 - 5\/12*n**4. Find the third derivative of t(c) wrt c.\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 100669850 and 4600?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s = 4*i - 46, -54*i = -49*i - 20 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - -28bb?\nAnswer: 28c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w\/w**6))\/w**(-2))\/(w**3)**(-2\/9) assuming w is positive.\nAnswer: w**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) -32  (b) 4  (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1520214 + 5?\nAnswer: 1520223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the first derivative of 0*v - 25 + 0*v**4 - 3*v**3 - 122\/5*v**5 + 0*v**2. What is the third derivative of p(u) wrt u?\nAnswer: -2928*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1728*u**5 + 1509*u**5 - 81*u - 1 + u wrt u.\nAnswer: -4380*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - y - 3. Let w be (20\/(-27))\/(92\/828) - (-2)\/(-6). Put w, y, 2 in ascending order.\nAnswer: w, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(55)\/(sqrt(44)\/sqrt(4)) - (sqrt(180)\/sqrt(3))\/sqrt(12))*1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**3 - 10*h**2 + 13*h + 12. Suppose 0 = -10*a + 9*a + 10. Is 17 a factor of t(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*p**5 - 3*p**5 - p**5 + (1 - 4 + 0)*(-3 + 0 + 1)*(33 - 12*p - 16 + 11*p)*(20*p**4 + 66*p - 66*p).\nAnswer: -121*p**5 + 2040*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1151622, 4606465, 10364524, 18425799, 28790290?\n\"Answer: 1151608*p**2 + 19*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5375 is divided by 1766?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000448 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (0 - 6\/4)*60\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60403 - 2*u + 60403 + 60401 - 241608 + 60401.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0  (b) -2\/31  (c) -9  (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3657341?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2867 + -11469\/4. Let u = 0.69 + 0.11. Put x, -4, u, 3\/5 in decreasing order.\nAnswer: u, 3\/5, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4155776.\nAnswer: 2, 32467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -21043212 - 10?\nAnswer: -21043222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + (-5 - 2) - (4 - 3 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13\/93 + 6\/31. Which is bigger: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y + 3*y + 0*y - 7*y**3)*(-977*y - 175*y**2 + 977*y).\nAnswer: 1225*y**5 - 350*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**2 + 1375821*t.\nAnswer: 3*t*(t + 458607)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -45413 - -45413.000027781. Round j to seven decimal places.\nAnswer: 0.0000278","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 1 d when three letters picked without replacement from {l: 2, d: 10, j: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hyy when three letters picked without replacement from hyyyhhhhhyyyhy?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**3 + 781*c**2 + 137904*c - 5826240.\nAnswer: (c - 35)*(c + 408)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z - 40. Let n(c) = 2*c + 39. Let v(r) = -4*g(r) - 5*n(r). Let k be v(-6). Solve 4*j - q = 4, 2*j = q + 5 - k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1748553.\nAnswer: 3, 582851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -100.5 - -101. Let i = -0.2 - -0.4. Sort s, -5, i.\nAnswer: -5, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 0 = 1. Suppose -r - c = 4, -4*r - 8 = 4*g. Suppose 15 = g*n - 6. Solve -15 = -5*i, -2*i - i + n = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54137596?\nAnswer: 2, 13534399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 3*c**2 + 37*c - 1. Let a(k) = -4*k**2 - 37*k + 1. Determine -2*a(d) - 3*h(d).\nAnswer: -d**2 - 37*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 20212 (base 13) to base 11\nAnswer: 3a200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 216*p - 316*p = -100. Calculate the lowest common multiple of 5178 and p.\nAnswer: 5178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11668185 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1790 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p + 1. Let u be b(2). Suppose -2*c + u = -c. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -382*p**4 + 319*p**3 + p**2 - p + 14924.\nAnswer: -9168*p + 1914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -0.1  (c) 3\/5  (d) -2\/27  (e) 1\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-144)*3*6\/4\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2284764?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-12)\/(-18))\/(2\/(-237)). Find the common denominator of -17\/20 and (-1 - 1) + s\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**3 + 4*z**2 - z - 1. Let m be t(4). Suppose -5*r + 2 - 7 = 0. Let w be 16\/(-80)*30*(-4)\/6. Put m, r, w, 5 in ascending order.\nAnswer: m, r, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 310*j**2 - 798*j - 61. Is g(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 259940 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1507*a - 75166 = 1493*a. Does 91 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(1 + sqrt(320)*-2 - (sqrt(320) - (sqrt(320) + (sqrt(320) - -6*-3*sqrt(320)) + sqrt(320)) - sqrt(320)))*-6*-5*-3)**2.\nAnswer: -2203200*sqrt(5) + 749096100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the first derivative of 1\/2*t**2 + t + 14 + 4\/3*t**3 - 1\/4*t**4. Determine i(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d\/d**(-2\/9))\/d)\/d)\/d*d*d**2*d)**(1\/33) assuming d is positive.\nAnswer: d**(20\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**2 - 3*y - 6. Suppose 0 = 18*j - 4*j - 70. Give f(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1, 32, -9, 6, 97, -5 in descending order.\nAnswer: 97, 32, 6, 1, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -2293\/73987?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 4*t**2 - 3*t - 2. Let y(k) = 7*k**2 - 5*k - 4. Let l(r) = 5*h(r) - 3*y(r). Let j be l(0). Solve x = -0*x - j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9539228\/527 + 18101. Calculate the common denominator of -55\/62 and g.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a**3 - 18*a**2 + 12*a + 72 = 0.\nAnswer: -6, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -245 - -257. Suppose m*i + 23 - 47 = 0. Solve -x = -3 - i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 1 = 4*n + 2*f, -n = -4*f - 12. Suppose q + 10 = 5*q + 2*u, n = 3*q + 3*u - 9. What is the nearest to -1\/2 in q, -6, 3\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1242995?\nAnswer: 5, 13, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 3*n**3\/5 - 333*n**2\/5 + 8721*n\/5 + 29241\/5 = 0.\nAnswer: -3, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aps when three letters picked without replacement from pvvuavpuhuupvssvvs?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 123, 110, 99, 90, 83, 78, 75?\n\"Answer: z**2 - 16*z + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*a**2*i*l*t + 2*a**2*i*t - 103*a**2*t - 2*a**2 - 3*a*i*l - 254*a*i - 2*a*l*t + 2*a*l + 2*a*t wrt a?\nAnswer: -4*i*l*t + 4*i*t - 206*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -57*g + 170*g - 52*g - 60*g. Let n(r) = -454*r. What is v(n(f))?\nAnswer: -454*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -955 - -536. Let r = 402.76 + j. Let t = r + 3.14. Round t to 0 dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -128966.05 rounded to the nearest one hundred?\nAnswer: -129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-34)\/(7820\/138))\/((-42)\/4)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**3 - 53352*w**2 + 177795492*w + 712035856.\nAnswer: 4*(w - 6671)**2*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 6*c + 7. Let q be l(-7). What is the remainder when 35 is divided by (q + -1)*2\/(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11.5 + 6.5. Sort -4\/7, s, 0.4, 1 in ascending order.\nAnswer: s, -4\/7, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**2 - 7*v - 6. Let m(q) = q**2 - 5*q - 5. Let j be m(5). Let y = -8 - j. Let d be z(y). Let b(n) = n**2 - 6*n - 6. Calculate b(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o + 4*b - 11, 3*o - 2*b - 9 = -2. Sort 3, o, 192 in increasing order.\nAnswer: 3, o, 192","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -7*k**3 - 7*k**2 - 7*k. Let d(p) = -6*p**3 - 6*p**2 - 6*p. Let v(t) = 6*d(t) - 5*g(t). Let z be v(-1). Does 8 divide (66\/(-12))\/(z\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - h + 12 = 4*t, -6 = t - 2*h. Let o(s) = 6*s**2 + 2*s + 1. Let v be o(-1). Suppose -v*f - 3*z = -23, -6*z + t*z + 8 = f. Solve 6 + 2 = -f*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 250463009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24*s**3 - 1 + 17*s**3 - 39*s + 6*s**3 to m*s + k*s**2 + y*s**3 + w and give m.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**3 + 5*c**2 + 6*c + 2. Let r be s(6). Calculate the greatest common factor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-2)*-3*(15400\/(-42))\/(-110).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-48))\/((-4208)\/(-14340864))\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -273*i + 275*i + 2*d = -2, -4*d + 23 = -5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1388720 and 2221952?\nAnswer: 11109760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (17\/306)\/((3\/4)\/(-3))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1100586.\nAnswer: 2, 3, 59, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-nine quarters of a kilometer in meters?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -108\/875 - -2074\/2625. Factor x*q**3 + 10\/3*q**2 + 4\/3*q - 16\/3.\nAnswer: 2*(q - 1)*(q + 2)*(q + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1332781 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -306 = -6*t - 288 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**3 - b**2 - 2*b + 4. Let t be l(5). Suppose 15 = 5*o, -4*i + 359 = -5*o + t. Calculate the highest common divisor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 333012 (base 4) in base 15?\nAnswer: 12e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*p - 68*p - 110 = 22*h, 12*p + 15 = 15*p - 3*h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -8 + x + 5 + x. What is the units digit of r(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.2  (b) 0.3  (c) -4  (d) 5\/2  (e) 0.68  (f) 3620  (g) 2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 162457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 450898453 to the nearest integer?\nAnswer: 21234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 61129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.04 times -0.0222\nAnswer: -0.000888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3402678 months to centuries.\nAnswer: 0.0002835565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmmmmcmccm?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 429.922 + 1.078. Let z = 430.99999642 - l. Round z to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 4*s + 4*s - 4*s**2 + 2*s to b + u*s + j*s**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 1256 = -0*t - 4*t, 5 = 5*t. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**2 + 4*w - 13. Let a be m(9). Let j = a + 104. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = g, -7*w = -2*g + 4 - 19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**2 + 20*h - 17. Let v be n(19). Let z(p) = -28*p**2 - 2 + 7*p + 53*p**2 - 26*p**v. Suppose -6*u = -u - 30. Give z(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4163305 and 88730.\nAnswer: 2335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 49 and 161.\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6404\/25616)\/((-2)\/14).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-27694)\/(-470798))\/(3\/2)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 31937, 31939, 31941, 31943, 31945, 31947?\n\"Answer: 2*z + 31935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-162)\/432*(-4)\/(-2)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 2\/3, -1, -2\/13, -2353, -0.2 in decreasing order.\nAnswer: 2, 2\/3, -2\/13, -0.2, -1, -2353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 46\/5 and 2*(-6)\/12*40\/2797.\nAnswer: 13985","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 227 = -y, 3*y = 7*y - 4*n - 860. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 2*f - 2 - 4*f + (-3 + 4 - 2)*(3 + 4 - 4)*(3 - f - 3) in the form w + o*f and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 6*q**2 - 16*q**3 + 25*q**2 + 27*q**2 + 48*q**3.\nAnswer: 32*q**3 + 46*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4100)\/451)\/((-7)\/2*72\/1386)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 + -3. Suppose -n = n + f. Let u = n + 4. Solve -5*w - 12 = 2*h - 5*h, -4*w - u*h = 14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 2*g**3\/3 - 14*g**2\/3 - 242*g\/3 + 1694\/3 = 0.\nAnswer: -11, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1*6*(-2)\/(-12). Put -5, -4, -3, g in decreasing order.\nAnswer: g, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6250859?\nAnswer: 47, 179, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -3*m**2 + 23*m + 5. Let d be k(8). Let z be (-2)\/(7\/14 + d). Which is the nearest to -2?  (a) z  (b) 6  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, z: 7, x: 2}. Give prob of sequence zxo.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2.47, 0.3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes before 8:34 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 18\/(-5)*202\/909. Let h be 1\/2*-1*0. Let s = 5.02 - 0.02. Which is the nearest to h?  (a) g  (b) -4  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110) - (sqrt(110)*1 + sqrt(110) + sqrt(110) - sqrt(110))*-6)\/(-1*sqrt(1440)).\nAnswer: -13*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -2257884\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*b**4 + 11705*b**3 - 9137700*b**2 + 2381886000*b - 2372760000 = 0. What is b?\nAnswer: 1, 780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (42*l + 5*l + 25*l)*(4*l + 19 - 9 - 13).\nAnswer: 288*l**2 - 216*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**3 + s - 10. Let p be q(5). Let m be 6\/5*p\/36. Solve 2 = v + b + m*b, 0 = -3*b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 341449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8.2 - 8. Let s = 2.8 - -0.2. Let d = -4 + s. Which is the biggest value?  (a) l  (b) 5  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 1 + 20*o - 3 - 21*o.\nAnswer: -o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**3 - n**2 + 2. Let y be x(-4). Let c be (-16)\/10 + 30\/y. What is the common denominator of (c - -2) + 87\/(-30) and -25\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 12\/(1\/(7\/(-2))). Let m = t - -62. Let l = 24 - -13. Calculate the remainder when l is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -51  (b) 0.4  (c) 0.2  (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.219 rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1743 - -12968?\nAnswer: 11225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -112181.4385112 and 0?\nAnswer: 112181.4385112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*g - 29 = 58 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26621?\nAnswer: 7, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-17\/5)*y**(-2\/119)*y)\/(y**(-2\/85)\/(y*y**(12\/5)*y)) assuming y is positive.\nAnswer: y**(1194\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 4*n = -292, 0*b + 5*n = 3*b - 293. What is the highest common divisor of b and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -17*p**2. Let d(z) = -215 - 221 - 4*z**2 + z**2 + z**2 + 441. Determine l(d(y)).\nAnswer: -68*y**4 + 340*y**2 - 425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 848965082 to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*d - 3*d + 18. Let z(u) = 5*u**2 - 6*u - 1. Let h(o) = o**2 + o. Let y(c) = -c**2 + 8*c + 1. Let s(g) = 3*h(g) - y(g). Determine d*s(v) - 5*z(v).\nAnswer: -v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.5 from 343245.\nAnswer: 343244.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1494 - -e43?\nAnswer: -651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 + 10*h**2 + 12*h - 11. Let g be v(11). What is the closest to g in -3\/7, 1, 3, 4\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - 182?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 2 p when four letters picked without replacement from {c: 8, v: 2, d: 1, p: 9}?\nAnswer: 336\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 100 divide 655737338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:33 PM and 6:45 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -103033 (base 4) to base 10.\nAnswer: -1231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -106\/23 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 299486398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w - 5. Let k(s) = -s**3 + 22*s**2 + 10. Let n be 10\/6 - (-1159)\/57. Let a be k(n). Give t(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1908821, 1908793, 1908765, 1908737, 1908709?\n\"Answer: -28*u + 1908849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**2 - s + 9. Let h be g(-3). Let y be (-2)\/((16\/(-14))\/4). Suppose 0 = -2*x + y + 1. Is h smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -279 (base 12) to base 9.\nAnswer: -463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**3 + 11*z**2 + 7*z - 2. Suppose 0*o - 4*o + 20 = -5*w, -12 = -2*o + 2*w. List the prime factors of d(o).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**2\/6 - 318*w + 3824\/3.\nAnswer: -(w - 4)*(w + 1912)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2100 + -200?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of -7*k**3 - 28*k**2 + 64*k. What is the first derivative of t(a) wrt a?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, -3, 0.1, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**29*(z*z**6\/z)\/z*z)**(-19\/2))**8 assuming z is positive.\nAnswer: z**(-2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and 1468220.\nAnswer: 2936440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -4*b + 14, -4*f = f - 3*b - 4. Sort -1, -12, f, -3 in ascending order.\nAnswer: -12, -3, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117266916457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 8 = -4. Suppose -q = -4*n + 14, 9 = 2*q + 3*n - 7. Solve 9 = -4*t - y + 1, -q*t = c*y + 18 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 54 - 53. Let v be ((-2)\/6*3)\/(0 + o). Let r be (14\/(-21))\/((-286)\/6). Are r and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 13*l + 56. Give y(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-286)\/(-33))\/(2\/(-3)). Let l be 21\/((-1)\/2 - 1). Is w less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-8)*(-24)\/30.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 48273.157 rounded to the nearest one hundred?\nAnswer: 48300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/15048 and -53\/342.\nAnswer: 15048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 7993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2516887174.6111 and 22.\nAnswer: 2516887196.6111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -103*b - 1841 + 6270 = 0 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 233, -3764, -14651, -35884, -70919, -123212?\nAnswer: -196219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.72 - 0.7. Let d = -57 + 53. Let i be 0 - (d + (-36)\/(-10)). Which is the nearest to -2?  (a) 0  (b) t  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -34*u**5 - 6*u**4 - 22*u - 6. Let l(q) = 102*q**5 + 17*q**4 + 67*q + 17. Let b(z) = 17*a(z) + 6*l(z). Find the second derivative of b(d) wrt d.\nAnswer: 680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4688*n - 37 = 4693*n + 3*b, n + 4*b = -21 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.1, -2, -0.1, 5, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/4, -3, 5, 4.44?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 3*j + 1. Let t be m(0). Let g = -1494\/11 + 136. What is the closest to 2\/3 in 2, t, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -139\/2814 and 2\/64253.\nAnswer: 385518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -4*h + 3 + 5*h - 5*h + h**2. Let a be q(2). Is 2 a factor of 12\/6*8\/(2 + a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -y**4\/6 - 2218*y**3\/3 - 822870*y**2 - 6535728*y = 0.\nAnswer: -2214, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0652 - 0.09912.\nAnswer: -0.16432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 10*o + 5*n + 140 = -11*o + 125, -8*n = 4*o + 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeme.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -2173.\nAnswer: -3\/2173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-4 + (sqrt(20)\/sqrt(4)*-3)**2) + (sqrt(320) + 1 - sqrt(320)) + 5 + ((1 + sqrt(320) - sqrt(320))*-6)**2 + -2.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/4*12\/45. Let o be 0 + 1*-2 - -8. Let f be (-4)\/o - (-11)\/12. Which is bigger: h or f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18, -30, -112, -228, -378?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7439, 14589, 21735, 28877, 36015?\nAnswer: 43149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10*h**3 - 2196929*h**2 + h + 36069206 wrt h.\nAnswer: 60*h - 4393858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -9 - -3 - -2 - -9. What is the first derivative of 15*o**4 - m*o**4 - 7*o**4 - 5 wrt o?\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -343*n**2 - 77*n + 77. Let c(z) = 9*z**2 + 2*z - 2. Calculate 77*c(g) + 2*j(g).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -175*w - 536*w + 10704 = 627*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 256 - -a?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l + 3*l - 2*l)*(-3 + 4 - 2 + (1 - 4 + 4)*(4 - 3 + 0) - 3 - 3 + 4).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (10 - (-352)\/(-40))\/(-6). Let w = 1 + -1. What is the nearest to 49 in w, q, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34 (base 10) to base 7.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/795 and 20\/3.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24, -83, -142, -201, -260?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 5*m**4\/3 - 359*m**3\/6 + 255*m**2\/2 + 1189*m\/3 - 668\/3 = 0?\nAnswer: -2, 1\/2, 4, 167\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.4, -14, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.3 and 606.\nAnswer: 605.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + r + 3 + 5 = 0, -d = -5*r + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - 261 = 1299. Differentiate -120*z - 127*z + k*z - 9 with respect to z.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -141\/34 + 1449\/374. Which is the closest to t?  (a) -0.7  (b) 3\/8  (c) 2\/13  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 29998937 and 29998925 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2128799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8091396 and 7654.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 2*s**2 - 8*s - 6. Let k be v(5). Calculate the greatest common divisor of 8 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 342024 divided by 57004?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 + -7.1. Sort -2.5, -3, m, -1\/8.\nAnswer: -3, -2.5, -1\/8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + w = 4, 5*q + w = 17. What is the remainder when 17 is divided by 8 + (q\/(-1) - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/(-12) + 13\/(-3). Let u = 6 + b. What is x in -4*x**3 - u*x**4 + 4*x + 2 + 4*x**2 - 4*x**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*t**2*w**2 + 11547*t**2 - t*w + 9039*w**2 - 2*w + 1 wrt t.\nAnswer: -4*t*w**2 + 23094*t - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 707*a - 714*a + 46858. What are the prime factors of a?\nAnswer: 2, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -471, -495, -565, -705, -939, -1291?\nAnswer: -1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (-3 + 3)) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the first derivative of -w**4\/4 - 4*w**3\/3 + 2*w**2 - 1. Suppose 50 = 4*t + 2. Let u = -17 + t. Determine m(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -199*2\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + 12, -33*y + 32*y - 5 = -2*n. Suppose -2*a = n*w - 4*a - 22650, 4*w - 22653 = -a. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 3*y - 112. What is the least common multiple of 18 and y?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7828\/2972683*(-21)\/(-6).\nAnswer: 2\/217","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43 - 23 - 20 - 6*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q + 21. Let x(r) = -r**2 + 41*r - 417. Let k be x(17). What is m(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -200101 (base 3) in base 14?\nAnswer: -276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 400\/160*((-1)\/5 - -1). Factor -2\/7*w - 6\/7*w**3 + 0 - 2\/7*w**4 - 6\/7*w**o.\nAnswer: -2*w*(w + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.456, -2\/11, -0.09, -2\/7, 4, 3\/4, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -15 - 3. Let v = -15 - h. Differentiate 4*k - 6 - v*k + k + 4 with respect to k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (477*k - 236*k - 294*k)*(-2 - 4 + 4)*(-12 - 14 + 8).\nAnswer: -1908*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 979 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in seventy-two sevenths of a week?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -63033550 to the nearest ten thousand.\nAnswer: -63030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -9*v - 150. Let x(c) = -7*c - 150. Let u(w) = -3*b(w) + 4*x(w). Let n(s) = s. Give u(n(t)).\nAnswer: -t - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1064385799 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the third derivative of x**4\/24 - x**3\/3 - 3*x**2. Let m be i(3). List the prime factors of 2\/(1 + (1 - m)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -11\/998814?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2657069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 21*z - 17*z - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 26*g - 19*g + 7*g - g**4 + 2*g**3 + 53*g**2 + 36*g as m*g**3 + a*g**2 + b*g**4 + n + j*g and give a.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.063 - 25.863. Let u = q - -26. Which is the closest to u?  (a) 2  (b) -4  (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 181\/60990 and -23\/28462.\nAnswer: 426930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -3*b**2\/8 + 87*b\/4 - 2223\/8 = 0.\nAnswer: 19, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 4*k**3 + k**2 - 2*k + 1. Let j be p(1). Let a(h) = j*h**2 - 4*h - 4*h - 5 + 6*h. Is a(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1186574, 2373138, 3559702, 4746266?\n\"Answer: 1186564*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -7*v**3 + 2*v**2 - 11*v - 27. What is the units digit of f(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -68, 1\/3, -112, -4, -1\/5, -1\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 174148 = 10*h - 26326, -295756 = -4*u + 4*h. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(27) - (sqrt(27) - sqrt(135)\/sqrt(5)*-5))\/(-1*sqrt(9)*-2).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 26\/(-12) + 1\/6. Let u be -17*a\/4*2. Let i = u + -13. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 23180 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 11400447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 46?  (a) 2\/15  (b) 0.3  (c) 30\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -3847*l**4 + 16*l**3 + 2*l + 9895. Let d(m) = 1924*m**4 - 9*m**3 - m - 4948. Let j(u) = 11*d(u) + 6*t(u). Find the second derivative of j(o) wrt o.\nAnswer: -23016*o**2 - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a century in months?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 3*z**2 - 20*z + 16. Let j be l(6). Factor -3\/4*p - 3\/4*p**5 + 3\/4 + 3\/4*p**j - 3\/2*p**2 + 3\/2*p**3.\nAnswer: -3*(p - 1)**3*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 11  (b) 58  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -209555086, -209555084, -209555082?\n\"Answer: 2*r - 209555088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4587, 5666, 7465, 9984, 13223, 17182?\nAnswer: 21861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (509304\/16)\/((-27)\/(-18)).\nAnswer: 21221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 10 + 0 + 1 - 4. Suppose 0 = -4*q + h + 9. Solve 0 = -2*s + 5*w - 13, 2 = 3*s - q*w + 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 + 4 - 16) + (109 - 82).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -94\/315 and 64\/149835.\nAnswer: 449505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 n when two letters picked without replacement from {d: 4, n: 1, l: 5}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17 + -20 + 2003\/(-480) - (-7)\/1 and 123\/160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7.9406 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of t**4 - 1156*t**3 - 2173*t**2.\nAnswer: 24*t - 6936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 28 - 40?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 53 = -91. Let x be g\/8*32\/(-12). Solve -2*r + x - 4 = 2*a, -3*a = 2*r - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1326 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -4 + 4*(sqrt(612)*1 + sqrt(612) + sqrt(612)).\nAnswer: -8 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 50 by 1.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (1*4*(0 + sqrt(1100))*6 + -3)**2.\nAnswer: -1440*sqrt(11) + 633609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -4*j**3 + 2*j**2 - 2*j + 1. What is the tens digit of f(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -41*l - 108. Let x(g) = 21*g + 59. What is 3*b(z) + 5*x(z)?\nAnswer: -18*z - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -19\/7778987?\nAnswer: -19\/7778987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 4*q**2\/5 + 255488*q\/5 + 4079632384\/5 = 0.\nAnswer: -31936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 575 and 9660.\nAnswer: 48300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -4*sqrt(343)*2)**2.\nAnswer: 448*sqrt(7) + 21968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 3 - 2)*(1001 - 1001 + 50*t)*(25*t + 0 + 1 - 29*t) as u + j*t + g*t**2 and give g.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 481 = -308*l - 7400 + 1105 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -22 - -207. Let c(b) = 11*b + 17. Let l be c(9). Suppose 4*s - o = 143, 3*s - 4*o + 5*o = l. What is the greatest common divisor of y and s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, -30, 1, -4 in ascending order.\nAnswer: -30, -4, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) + ((sqrt(1539)*2)**2 - sqrt(1539)) - (1*(sqrt(19) + sqrt(304) + sqrt(19) - sqrt(19)))**2) + 5.\nAnswer: -8*sqrt(19) + 5686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*c**5\/11 + 4*c**4\/11 - 36*c**3\/11 - 16*c**2\/11 + 82*c\/11 + 60\/11 = 0. What is c?\nAnswer: -5, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 0  (b) 4  (c) -8  (d) -614\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -7653 + -327334.4\nAnswer: -334987.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 104089 is divided by 25964.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -51294650 by 466315.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(5\/7)*c**(-33)*c*c**(6\/7)*c\/((c\/(c*c\/(c*c**(-16\/3)*c)))\/c*c) assuming c is positive.\nAnswer: c**(-527\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**2 - 10*h + 10. Let p be u(-8). Let x = -14 + p. Calculate the remainder when 22 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*w + r - 7014 - 1673, -21710 = -5*w - r. What are the prime factors of w?\nAnswer: 3, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 4, e: 3, k: 2}. What is prob of sequence kcc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (28 + -13 + -9 - (14 - 58)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 33.82781795 rounded to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5\/7, 2\/13, -0.3, -9289?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 19*k = 15*k + 4, 3*f + 2*k - 6 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1414 and 6?\nAnswer: 4242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eejejlejjegjeeegs. What is prob of sequence lg?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -75291 plus -22.126897?\nAnswer: -75313.126897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 4*a. Let x(t) = -2*t. Let f(b) = -13*b. Let m(d) = f(d) - 5*x(d). Give u(m(j)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6038 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) 0.1  (c) -6  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = k - 0 + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 278 + -281. Let p(z) = -2*z + 11*z**3 - 3 + 7*z**2 - 5*z - 6. Let a(w) = -5*w**3 - 3*w**2 + 3*w + 4. Calculate g*p(r) - 7*a(r).\nAnswer: 2*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 - 20*r**2 + 2*r - 21. Determine d(-20).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - 3*u - 30 = 0, 3*f - 34 = 23*u - 18*u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1ba (base 14) in base 3?\nAnswer: -111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 4*m**2 + 2*m - 64. Let w(a) = 7*a**2 + 3*a - 120. What is -5*g(s) + 3*w(s)?\nAnswer: s**2 - s - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 133 and 27075.\nAnswer: 189525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1817268 is divided by 623?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81752339?\nAnswer: 81752339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**2 + 5*t - 24. Let o(y) = y**2 + 11*y - 49. Let s = 106 + -104. Let x(z) = s*o(z) - 5*l(z). What is the derivative of x(a) wrt a?\nAnswer: -6*a - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19*r**2 + 5 - 3*r - 2*r**2 + 20*r**2)*(0 + 0 + 2).\nAnswer: -2*r**2 - 6*r + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 40750*j**3\/3 + 7498016*j**2\/3 + 344910944*j\/3 + 135424\/3.\nAnswer: 2*(j + 92)**2*(20375*j + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.81 and -319633.\nAnswer: 258902.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 6*c**3 + 2*c**2 - 4*c. Let i(n) = 3*n**3 + n**2 - 2*n. Determine -3*f(u) + 7*i(u).\nAnswer: 3*u**3 + u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 53 + -40. Solve -4*g - m = -0*l - 3*l, 2*g = -8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7.5 in 4\/5, 16, 1.31, -6?\nAnswer: 1.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of c**2 + 710. Let h(s) = 1079*s**2 - 1. What is h(k(j))?\nAnswer: 4316*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhj when three letters picked without replacement from {g: 1, f: 1, j: 1, l: 1, h: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -223\/82 or -8?\nAnswer: -223\/82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*g + 20*g + 145 = 0. Calculate the remainder when 58 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(512))**2 - (sqrt(40)\/sqrt(4))\/sqrt(5)) + sqrt(96)\/sqrt(3) + -2*sqrt(32).\nAnswer: -5*sqrt(2) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the first derivative of -x**4\/4 - x**3\/3 - 2. Let c be s(0). Suppose c = -3*j + 7*j - 16. Solve -j*m = -2*m - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 44.7 and 606?\nAnswer: 27088.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3439 + 3431. Is 241 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -7*l**2 + 298*l - 76. What are the prime factors of f(33)?\nAnswer: 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -3\/2  (b) -0.3  (c) -0.0542  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 19989 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 5*w + 59. Calculate b(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 3*m**3 + 10*m**2 - 12*m - 20. Let b(x) = 110*x**2 - 121*x**2 - 2*x**3 + 6*x + 19 + 5*x. Let f(t) = -4*b(t) - 3*y(t). Is f(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 1258, -0.2, 2, -5\/4, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 4*c - 52. Let s = -43 + 57. Let f be j(s). Let k = 4.918 + 0.082. What is the biggest value in 8, f, k, -0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 366231 and 675573?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -27*q - 27. List the prime factors of v(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -10*j - 2. Let l(x) = -3 + 0 - 19*x + 9*x. Let k(m) = -5*l(m) + 6*q(m). Differentiate k(a) wrt a.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.5  (b) -5  (c) 0.1  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 divided by 608?\nAnswer: -25\/608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 53b771 (base 15) to base 14\nAnswer: 75b296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 253698254*s**5 + 101023674*s.\nAnswer: 5073965080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 35936 and 7968?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 2 a when three letters picked without replacement from {a: 5, v: 3, c: 8}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4709406739 to the power of 1\/2, to the nearest integer?\nAnswer: 68625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1149 - 1148.99283. What is x rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of q**2\/2 + q - 11. Calculate f(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3198 - 3196. Which is the smallest value?  (a) p  (b) -3\/11  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 4*q**4\/19 + 54750*q**3\/19 - 12970*q**2 + 355980*q\/19 - 164304\/19 = 0.\nAnswer: -13692, 1, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3507791.\nAnswer: 7, 313, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zpez. What is prob of sequence pz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -73, 2, -7, 5, 26 in increasing order.\nAnswer: -73, -7, 2, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**12\/(b**(-2\/21)\/b))\/(b*(((b**(2\/15)*b*b)\/b)\/b)\/b*b*b**4*b))**(-3) assuming b is positive.\nAnswer: b**(-731\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let t = -395.5 + 396. Which is the closest to 1?  (a) t  (b) -3\/8  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -36 + 394. List the prime factors of y.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 83297 times -0.6\nAnswer: -49978.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the first derivative of -3*v**2\/2 + 1. Let j(x) = 5*x. Let r(u) = 14*u. Let t(b) = -17*j(b) + 6*r(b). Calculate t(f(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-52)\/(-7))\/((4644\/(-4128))\/(21\/16))?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 4*w + 191745 = 6*l, 5*l = 3*w + 191710. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the second derivative of 31*c**4\/12 - c**3\/6 - 6389*c**2\/2 - 6260*c. What is the derivative of u(o) wrt o?\nAnswer: 62*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19159370*-0.1.\nAnswer: -1915937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*a**3*l + 3*a**3 - 43*a**2*l - 2*a**2 + 2835*a*l + l wrt a?\nAnswer: -12*a*l + 18*a - 86*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1081*d**2 + 1077*d**2 + 73 - 2152*d**2.\nAnswer: 6*d**2 + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 2*a - a**3 + 52*a**2 - 56*a**2 + 4 - 2*a**3 + 2*a**3. Calculate l(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, -53, -2786, -5 in decreasing order.\nAnswer: 17, -5, -53, -2786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 2*v**3\/9 + 8*v**2\/3 - 98*v\/9 - 40\/3 = 0?\nAnswer: -15, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/20*((-15)\/(-60)*(-60)\/(-5))\/19?\nAnswer: -3\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 4, z: 5, d: 1, k: 6}. Give prob of sequence dkjz.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11043321 (base 5) to base 2.\nAnswer: 10111100111000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 3 = 0, -y - 4*c + 6 = -4. Let h(q) = -3*q + 3. What are the prime factors of h(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(931)*1)**2*-2.\nAnswer: -46550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8705?\nAnswer: 5, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 12125055 - 2?\nAnswer: 12125053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 123\/287 + (-18)\/(-7). What is the units digit of 48*-2*((-26)\/8 + p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 - 5. Let p = 17 - 9. Suppose p - 20 = -3*d. Is d < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -242674\/1611 + -1716\/179. Let t = -160 - x. Which is bigger: 2 or t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of -a**5\/60 + a**4\/24 + a**3\/2 - a**2\/2 + 2. Let w(p) be the second derivative of j(p). Let v be 4*(5\/1 + -4). What is w(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 40290 and 8058?\nAnswer: 40290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 7*r + 3. Let v(k) = 15*k + 7. Let p be ((-12)\/5)\/((-528)\/1320). Suppose -4*z = -z + 39. Calculate p*v(m) + z*s(m).\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (60\/(-24) - -4)\/(-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**3 + 5761480*l**2 + 1659738350985*l + 3319453656090.\nAnswer: 5*(l + 2)*(l + 576147)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/105 and -49\/54.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (7*(-18)\/(-168))\/((-273)\/112)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -123 + 125. Let b(y) be the second derivative of -1\/3*y**4 + 0*y**s + 0*y**3 + 2*y + 0. Let n(a) = a. What is b(n(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 2 - (-19 + 11) - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k**2 + 2*k**2 + k**2)*(3*k - 3*k - 2*k) - k**3 + 2*k**3 - 3*k**3 - 3*k**3 - k**3 + 6*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.69?  (a) 13  (b) 0.1  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 2*r + 2. Let g be b(6). Suppose 64 = 4*y - 0*y. Let i be (-56)\/y*(0 + -6). What is the highest common divisor of g and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 119, 3, -32 in increasing order.\nAnswer: -32, 3, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1914 is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 99\/11677 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 387 divide 268215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 110001111011 (base 2) to base 8\nAnswer: 6173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -1195\nAnswer: 2390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 718858?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -227885322 divided by 6\nAnswer: -37980887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8786*x**4 - 1858*x + 24590687 wrt x.\nAnswer: -35144*x**3 - 1858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in -5, 0, -3\/7, -8, -13\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 722 is divided by 165.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/((135\/950)\/(-9)). Suppose 527 = 3*u + f, -u + w = -3*f + 1. Let i = 261 - u. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 equal to 3\/413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -36 - 2. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from ixxxxxpxxxxxlxlxvvxi.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - 1)\/(6\/90*-3). Suppose -3 + 5 = 3*q + c, 3*c = v*q - 22. Put -0.5, q, 0.2, 2\/5 in increasing order.\nAnswer: -0.5, 0.2, 2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 2 + 2)*(-3*z + 0*z + 0*z)*(-5 - 2 + 5)*(-1 + 4 - 1) as h*z + q and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (-2)\/(-3))\/((-43)\/(-516))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((j**(-1\/2))**(2\/15))**(15\/7))**5)**(-15) assuming j is positive.\nAnswer: j**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 3*a + 4 = 2*o, 0 = -5*o + 4*a + 10. What is the third derivative of 21*k**o + 7*k**3 - 27*k**2 + 20*k**2 wrt k?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -129 (base 10) to base 3\nAnswer: -11210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2709, -2720, -2745, -2784?\n\"Answer: -7*l**2 + 10*l - 2712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -133*o + 430 = -2*p + 3*p - 232*o + 128*o, -2*p - 4*o + 50 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add -119 and 0.0070791.\nAnswer: -118.9929209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 603349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = 4*u + 20, -u - 13*i = -195 + 146 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2406, 2388, 2352, 2292, 2202, 2076, 1908, 1692?\nAnswer: 1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the second derivative of -281*y**5\/20 - y**4\/6 + 33*y**2 + 106*y - 1. Find the third derivative of q(v) wrt v.\nAnswer: -1686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -j - 6. Let v(c) = -25*c - 46. What is the remainder when v(-4) is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -17*s**2 - 34*s - 67. Let b(h) = -6*h**2 - 11*h - 22. Let l(k) = 11*b(k) - 4*y(k). Does 26 divide l(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10314214440 (base 5) to base 10\nAnswer: 11085620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h = 5*q + 5, -3*q + 14 = 4*h + 20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f = 4*x - 3*x + 19, -3*f = 2*x + 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 7*c**2 + 4*c - 2. Let t(q) = q**2. Let k(i) = h(i) - 6*t(i). Let b be k(-5). Does 4 divide 213\/18 + 4\/24 - b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4405683?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -339\/2 - -170. Let b be -8 + 0\/2 + 2. Let z be 10\/b*16\/20. What is the third biggest value in z, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 + 25 + -25 + 18 + -15?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 950 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 144 a factor of 1369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -0.9. Let f = 31 - 26. Let s = 0.96 - 0.46. Put s, k, f in ascending order.\nAnswer: k, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(605) + -1 + sqrt(605)) - -2*sqrt(605)*5)**2 + sqrt(80)\/sqrt(4) + -2 + (4 + sqrt(5) - sqrt(5)).\nAnswer: -262*sqrt(5) + 2458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-16)\/(-12))\/((1\/(-26))\/((-321)\/(-428)))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -10*k. Let h be u(-1). Suppose 0 = -7*c + 4*c + 33. Let s be 2\/c + 84\/22. Solve -h = -s*y + 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(1 + (-60)\/84)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 18916 or 18907?\nAnswer: 18916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -24 - -25?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y**(-5)\/y*y)\/(y*y**(-1\/4)))\/(y**0)**(-1\/16))**(-31))**(-25) assuming y is positive.\nAnswer: y**(-17825\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -55 divided by -3.\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that c**5\/4 - 244*c**4 + 238141*c**3\/4 + 1463*c**2\/2 - 178120*c - 119072 = 0.\nAnswer: -1, 2, 488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -3, -10, -2591 in descending order.\nAnswer: -3, -8, -10, -2591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sssr when four letters picked without replacement from {k: 1, s: 2, r: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.879706t to grams.\nAnswer: 7879706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**3 - 10*y**2 + 25*y + 15. Let o be b(-12). What is the second derivative of 2*w**4 - w**4 + 2*w + 14*w - o*w wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 24 = -2*f, -2*f + 5*f = -2*j + 14. Suppose -5*r - 49 - 6 = -5*t, 48 = 4*t - 2*r. Solve 5*k = -t - f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 782 divide 2808786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*o + 233*h - 110*h = 128*h + 77, 0 = 3*o - h - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 806381966.\nAnswer: 2, 13, 31014691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -26*z**3\/3 + 1244*z**2\/3 - 4928*z - 768.\nAnswer: -2*(z - 24)**2*(13*z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 + 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -94 + 114. Calculate the remainder when c is divided by (22\/4)\/((-3)\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4423 a factor of 144433065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -2*v. Let a(n) = 33005407*n. Calculate a(k(h)).\nAnswer: -66010814*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = 4*z - 2*w - 40, 0 = -4*z - 4*w + 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (3 - 2) - -4 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*z - 19*z + 61*z.\nAnswer: 64*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*f**3 + 8*f**3 + f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9.4 + 1.4. Let q = l + 7. Which is the closest to -1\/2?  (a) -4  (b) -2  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -0.4, -0.5, 0.3, -0.04, -2\/2317?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**3 + 6*y**2 - 4*y - 3. Let q be b(5). Let w(k) = k**2 - k - 2. Let u be w(q). Let c(s) = -4 + 2*s + u + 4. What is c(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p**5 + 0*p**4 + 0*p**4)*((-2 + 4 - 3)*(3 + 0 - 1) + 10 - 10 - 19 + 1 + 2 - 1).\nAnswer: 57*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (3*(-13)\/(-156))\/(-1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 2*h**2 - 30202416*h + 114023241529632 = 0.\nAnswer: 7550604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 34524257279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = c + 2. Let m(b) be the third derivative of 0*b + 0 + 0*b**5 + 0*b**4 - 3\/40*b**6 - 1\/6*b**3 + 4*b**2. What is m(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*d + 335785 - 21*d + 26*d - 335785.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -148116 divided by 1070\nAnswer: -74058\/535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -22*z**3 + 2*z**2 - z + 2. Let h(d) = -21*d**3 + 3*d**2 - d + 3. Give -2*h(j) + 3*u(j).\nAnswer: -24*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -46*s - 63. Let c(l) = l - 11. Determine -5*c(f) + k(f).\nAnswer: -51*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4896 - -4463. Is h equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -582*q + 1118. Determine p(3).\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -1\/2, -4, -2\/5, -1\/78, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/4?  (a) 1\/153  (b) 4  (c) -1\/3  (d) 2\/9  (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 9  (b) 1  (c) -0.8  (d) -61  (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 2)*8*(-48)\/64\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - 4) + -4 + (2 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l + 2*l = -12 - 20, -16*l + 77 + 71 = 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v - v + 0*v)*(2*v**4 - 2*v**4 - 3*v**4) + (-12 - 9 - 2)*(-18*v**5 + 5*v**5 - 6*v**5).\nAnswer: 443*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 844 + -825.45. Let a = -0.45 - s. Let m = -19.026 - a. What is m rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 10*a**2 - 17*a. Let i(z) be the first derivative of 5*z**3\/3 - 4*z**2 + 25. Let q(t) = -7*i(t) + 3*u(t). Factor q(o).\nAnswer: -5*o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -44375, -44376, -44377, -44378, -44379?\nAnswer: -44380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1*(8 - 12)*(1 - 458) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -563, -2037, -4505, -7973, -12447, -17933, -24437?\n\"Answer: -k**3 - 491*k**2 + 6*k - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -14758.5 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7349375471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8757?\nAnswer: 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (12\/(-140))\/((-63)\/420). Determine h, given that 4\/7*h**2 + t*h + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -25 + (-10 - -23) + 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of y**4\/4 - 28*y**3\/3 + 5*y - 153. Let r be s(28). Solve -g - 6 = -h - 3, -r*g - 3 = -h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes before 5:35 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b880 (base 13) to base 5.\nAnswer: -1304443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 40000991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 PM and 3:58 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 17249249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 + -12. Which is the biggest value?  (a) 0  (b) s  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + 4*l + 4, 3*v - v + 8 = 4*l. Is 3 + 4*(-142)\/v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 115*z + 124*z - 22*z - 27*z as m*z + c and give m.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20101323 (base 4) to base 7.\nAnswer: 200610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 203504314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -102*n + 215*n = 108*n + 40*o + 205, 0 = n + 3*o + 14 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 848 divided by -4?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 53119 and 363931?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 975430013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 4*f - 162 = 0, -f - 162 = 3*b + 4*f. Let g = b - -85. Suppose -4*c = 3 - g. Solve 2 + c = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 2, m: 2, e: 1, u: 4, j: 3}. Give prob of picking 1 m, 1 u, and 2 j.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f**2 - 84693*f + 1015884 = 0.\nAnswer: 12, 28219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*b**2 - b**2 + 2*b**2 as m*b**2 + v*b + j and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*y + 3*x, -2*y - 7 = 5*x + 3. Suppose -y*n + 6 = -9. Suppose -n*s + 4*s = 13. What is the remainder when 37 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 89 = 3*o, -i + 112 = 4*o - 3*i. Let r be (-3)\/(o\/(-12))*3. Solve r*b = -b + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -69739\/177 - -394. Let j = z - -62\/531. Which is the third smallest value?  (a) -2  (b) j  (c) -3\/4  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 155983.6 rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 345*l**2 - 15*l + 26 + 40*l - 343*l**2. Does 2 divide r(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n + 2. Calculate the smallest common multiple of k(-9) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 1147*i**2 - 5. Let g(d) = d + 13. Determine o(g(p)).\nAnswer: 1147*p**2 + 29822*p + 193838","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2230360 + -42?\nAnswer: 2230315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 231 a factor of 376310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-36)\/(-240)*24)\/(6\/20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 4 - 3*a**2 - 3*a - 3*a**2 + a**2 in the form g + m*a + z*a**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2\/7 + 738*s\/7 - 11016.\nAnswer: -(s - 612)*(s - 126)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -369*0.1\nAnswer: -36.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 + 2*f**2 - 9*f - 7. Let c be o(-4). Let l(b) = -81*b - 33. What is the tens digit of l(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:29 AM and 11:45 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * 1.2\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-30)*w**(-4\/17))**(-37) assuming w is positive.\nAnswer: w**(-19351\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-216)\/(-126))\/((-4)\/(-14)). Let l(o) = 6*o - 2*o**2 + 3*o**2 - b*o. Let j(r) = 5*r + r - 2*r. Calculate l(j(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57*m**2 - 64*m**2 + 120*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39082 is divided by 471?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = -n - 5*f + 61, 106*n + f - 1595 = 0 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -119.725 + -0.275. Let v = -122 - n. Which is the third biggest value?  (a) v  (b) 9  (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -294\/6089 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence maam when four letters picked without replacement from {s: 6, i: 3, m: 2, a: 2}?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78 = 3*y + 3*g, 19*g - 18*g - 80 = -3*y. Solve -15 - y = 6*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence czg when three letters picked without replacement from rcqgz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -177, -168, -157, -144?\n\"Answer: d**2 + 6*d - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve l + 4*l - 33*n + 14*n = -57*n - 35*n - 151, 1 = -5*l + 2*n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m = -4*d - 28, -32802*d + 32803*d = 3*m + 23 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 8\/4 + 19\/(-9)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2401.29 times -367.4\nAnswer: -882233.946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/13, 95, -0.425 in decreasing order.\nAnswer: 95, -3\/13, -0.425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 179 + 35*y - 94*y**2 - 179 wrt y.\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -s + 7. Calculate the common denominator of (-1)\/(-3) + 65\/9 and 33\/21 - 1 - (6 - s).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 2.93387ng?\nAnswer: 0.00000000000000293387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b - 7. Let q be l(-8). Let t be q\/(2\/(-1 - -3)). Let k(h) = h**3 - 55*h**2 + 54*h + 3. Let p be k(54). Solve 0 = -4*y + p*y - t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 297 and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 2)*(-14*i**4 - 84*i**4 - 6*i**4) + 5*i**3 + i**4 - 5*i**3.\nAnswer: 105*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 14 divided by -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*(-18)\/60)\/((912\/64)\/(-19))*280?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/(-81))\/(21\/(-882))*9.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*w - 56 = 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3704 + 62.04.\nAnswer: 62.4104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 7, c: 1, w: 5, r: 3, x: 2, l: 2}. Give prob of sequence nwwr.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 + 10*w + 1. Suppose z - 5*f = -18, 5*f = -5*z - 42 + 12. Determine k(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36)\/30*(-10)\/9*-3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 22 + -8 - 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 29049\/7 or 4151?\nAnswer: 4151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 3*f = 9, -5*f + 3*f = -6. Determine n, given that -3\/2*n + g + 1\/2*n**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 10491445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (2*(-5)\/220)\/((-4)\/8)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 534763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25735 = 366*c + 749*c + 4370 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112 = -93*g - 124 - 229. Which is smaller: -53\/14 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*n + 407 = 356. Sort 11, -28, 5, n in ascending order.\nAnswer: -28, n, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.9 - 0.8. Let n = -0.39 + -0.61. Let z = -0.03 + -2.97. Which is the closest to k?  (a) z  (b) 4  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 167\/1560 and 355*2\/(-16)*4\/(-10).\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 237 - 1665 = -36*i + 858, -i + 3*m = -68 for i.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**2 + 14*h - 21. Let r be n(12). Find the second derivative of 3*z**3 - 8*z**5 - 9*z**r - 7*z + 6*z**3 wrt z.\nAnswer: -160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in w - 2736 + 672 + 665 + 660 + 739.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -42.2 and -9?\nAnswer: 379.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15, -30, -85, -156, -249, -370?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the third derivative of 163*d**8\/336 - d**7\/70 - d**5\/10 - d**4\/8 - 91*d**2. What is the third derivative of t(f) wrt f?\nAnswer: 9780*f**2 - 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ojy when three letters picked without replacement from {p: 1, o: 1, j: 2, z: 2, y: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**2 + 9*x - 21. Let b be r(9). Let q = 23 + b. Suppose 2 = t + q*o, -4*t - 3 = o - 39. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v - 12. Let j be y(-7). Let s be (0 - 2 - j)*1. Suppose 17 = -3*b - 4*q, -3*b + 0*b = q + 2. Solve 0 = -t - s - b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -385 - -390. Sort -1\/26, -3, b, -1\/7 in descending order.\nAnswer: b, -1\/26, -1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 5883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 31\/5 of a meter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1223*d + 1601*d + 242*d + 3416*d + 1380*d to the form m + a*d and give a.\nAnswer: 5416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 AM and 2:13 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1915 - 9574\/5. Which is the biggest value?  (a) 2  (b) 0.1  (c) 2\/9  (d) 34  (e) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37 - (56 + -54 + -8).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 49601444*q**3 + 27*q + 1138275 wrt q?\nAnswer: 297608664*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/h**(-2\/9)*h*h*h*h**(7\/10)*h*((h**(-8\/5)*h)\/h)\/(h**(1\/4)\/h))**(7\/3) assuming h is positive.\nAnswer: h**(7651\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 5, t: 5, f: 5, y: 1, m: 3, l: 1}. What is prob of picking 1 t and 1 r?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 + 2*y + 3. Let u be q(0). Let l be 70\/21 - 1\/u. Suppose -284 - 694 = -l*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/13837 and 67\/3?\nAnswer: 41511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h + 3*m + 27, 3*m = -5*h + m + 10. Suppose 211 = u - 0*z - z, 3*u - 628 = h*z. What is the greatest common factor of u and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i - 3. Determine q(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - 336815.\nAnswer: -336820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 119173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 35*d**2. Let v = -40 - -58. Suppose -v*b + 20*b = 6. Let u(l) = -5*l + 3*l + l + b*l. Calculate u(o(a)).\nAnswer: 70*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 6*w + 5*l + 18, -3*w - 4*l = 13. Let x be 23\/(-5) + (-16)\/40. Sort w, x, -4, -1 in decreasing order.\nAnswer: w, -1, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 55.79956l to millilitres.\nAnswer: 55799.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -42769 + 60464. Does 78 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, j: 2, b: 4}. Give prob of sequence bkjb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -25 - -42. Let w(i) = -5*i**3 - i**2 + 5*i + 25. Let y be w(-3). Calculate the greatest common divisor of q and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -31\/972 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*z - 10 = -10*z. Let d(p) = 335*p**2 + 6*p - 336*p**2 - 23*p + z - 7*p. What are the prime factors of d(-22)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2857, 5689, 8475, 11197, 13837, 16377, 18799, 21085?\n\"Answer: -3*r**3 - 5*r**2 + 2868*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + u + 11, 4*r - 3*r + 3*u - 9 = 0. Suppose -h = -r*h. Suppose h = j - 5 - 9. What is the remainder when j is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 87029333.\nAnswer: 87029333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -147 + 146. What is the common denominator of (-10*(-75)\/140)\/(2 + v) and 143\/108?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 229\/65?  (a) 3\/14  (b) -4  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 1)*(-55*j**2 + 46*j**2 + j - 3*j).\nAnswer: 9*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 3*b = -163678 - 37928, -5*a = 5*b - 201590. Suppose 10*q - 162950 - a = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 761 by -1.\nAnswer: -761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9207999 and 63155?\nAnswer: 46039995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that y**2 + 2350120*y + 1380766003600 = 0.\nAnswer: -1175060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6094403?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvnnvvllnlnnv. Give prob of picking 3 l.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vbgf when four letters picked without replacement from {v: 2, g: 1, e: 5, f: 1, u: 4, b: 2}?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 5*r**2 - 66*r. Let c(d) = -4*d**2 + 64*d. Calculate -4*c(j) - 3*o(j).\nAnswer: j**2 - 58*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -775, -2, 2, 0 in increasing order.\nAnswer: -775, -5, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 take away -0.02954582514?\nAnswer: -5.97045417486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**4\/9 - 196*t**3\/9 + 386*t**2\/9 - 64*t\/3.\nAnswer: 2*t*(t - 96)*(t - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (-15 + 26 - 17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2640100.\nAnswer: 2, 5, 17, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -5*t + 3. Suppose 0*q + 45 = t*q. Let y be 2\/12 - (-17)\/(-102). Solve 2*i = -5*j + 10, -3*i + q = -y*i - j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -528 - -518. What is the least common multiple of (s\/(-4))\/((-270)\/(-216)) and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 143922801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 11*u - 68. What is the tens digit of h(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-23 + (22 - -3))\/(12\/78)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 595.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -253\/4 or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 15  (b) -94  (c) 2\/5  (d) 4  (e) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -253 + 0?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000017067 to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 3*i + 19. Suppose -2*t + 2*l = -t - 5, 0 = t + 3*l + 20. Calculate the remainder when w(t) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4758\/171727 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 88\/20 + 4\/(-10). Let f(c) = c**3 + 0*c + 4*c - 2*c**3 - h + 6*c**2. Is f(6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1100001011010 (base 2) in base 12?\nAnswer: 3736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((7 + 1)\/48)\/(3\/(-33))*-6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 30735592790 to the nearest 1000000.\nAnswer: 30736000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/((2296\/(-738))\/((-2)\/(-9))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113 is divided by 82?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -125390 not equal to -125390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 219\/149435 - -539421471\/46922590. Let r = -2\/785 - t. Let c = -4\/51 - 3911\/204. Calculate the common denominator of r and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 0 = 20. Calculate the remainder when p is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 2*u**2. Suppose 0 = 3*x - 0*x + 204. Let o(z) = 22*z**2. Let k(b) = x*y(b) + 6*o(b). Let d(v) = -5*v. Give k(d(i)).\nAnswer: -100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -3, 360 in descending order.\nAnswer: 360, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -4505*i**2 + 2234*i**2 + 2273*i**2 + 719 in the form h*i**2 + z + q*i and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -c + 4 - 6 + 0 + 0*c - 2*c + 0*c + (2 - 5 + 2)*(-1 + 1 - c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 91044989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1.1  (b) 10  (c) -3  (d) -0.288\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*t*x**2 + 11259417*t + 1174253*x**2 wrt x.\nAnswer: -6*t*x + 2348506*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -17, 1, 0.5, -48?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 517 divided by 517\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v - 12204 = 2*v - 3*p, -p + 2442 = v. Let l = 4977\/2 - v. Find the common denominator of l and -49\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 smaller than 3\/1492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 - (2 + 77 + -2). Let l = 11 - m. Suppose 2*i + 3*c - 176 = 0, -i = -0*i + c - l. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -13*g + 6*g. Let j(s) = -12*s**2 - 2*s. Let y(v) = 2*v**2 + v. Let b(k) = g*y(k) - j(k). What is b(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 3 + 0)*(3*a + 4*a - 5*a) + 2*a + 2*a - 2*a - a + 3*a - 3*a + (2 - 2*a - 2)*(0 + 0 + 2))*(2*a**3 + 0 + 0).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2793?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o\/o**(-1\/15)))\/(o\/o**1))**20*((((o**7\/o)\/o)\/o)\/(o*o**(9\/2)))**(-11) assuming o is positive.\nAnswer: o**(91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -334*r - 4. Let u be p(-4). Suppose -4*x + 2272 = -u. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gmgmqgmgqmgqmmmqm. Give prob of sequence gqq.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 divided by -9?\nAnswer: -229\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10008*p + 0 + 52*p**2 - 1 - 48*p**2.\nAnswer: 4*p**2 - 10008*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2 + -1)\/(2\/(-4)). Let m be 0\/(0\/(-1) + p). Do 0 and m have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = 15*l + 832 - 806, 5*l - 2*g - 23 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*w = -27*w + 2*i - 608, -3*i - 857 = -7*w. Solve -17*c = 37 - w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes after 9:18 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 + -128?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 4*g = 14, 2*f + 4 = -402*g + 404*g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-9) + (-188)\/36. Let j = -5 - y. Suppose 5*g - 4*x - 207 = 0, j*x = -g + x + 42. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4206?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -78 less than or equal to -82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 20 = d - 2*d, 0 = -3*m + 5*d + 4. Calculate the smallest common multiple of m and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1796206 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(1 + 6*(sqrt(162) + -3)*-5))**2.\nAnswer: -196560*sqrt(2) + 616324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 28 - 44. Calculate the lowest common multiple of 22 and 9\/12 + (-340)\/s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.04 - 48.819772\nAnswer: -49.859772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10662*6.16.\nAnswer: -65677.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes after 9:46 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 16*a**5 + 684743*a**2 - 47021507*a.\nAnswer: 320*a**3 + 1369486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 3*s. Let r(n) = -4*n**2 + 5*n**2 - 19*n**2. Determine r(c(d)).\nAnswer: -162*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m + 2 - 50 = 0. What is the least common multiple of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -172*(-5)\/(-700) - (1 + (-8)\/10)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, r: 4, z: 1}. Give prob of sequence rbbr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -134*f + 20102 + 14202. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*a**2 - 4*a**2 - a**2 + 5*a**2 - 3*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*2*sqrt(675) - sqrt(675)) + (sqrt(675)*-2*-3 - sqrt(675)))\/((6*sqrt(864))\/sqrt(864)).\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12807713, 25615428, 38423143, 51230858, 64038573, 76846288?\nAnswer: 89654003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9625408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of (-11)\/(88\/(-4570)) - (-10)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 138519 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -248*y + 30 = -250*y + 4*f, 0 = -36*y + 2*f - 260 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.093, 1, -0.3, 0, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the first derivative of -2*u**5\/5 - 71*u**3\/3 - 642*u + 322. What is the derivative of c(w) wrt w?\nAnswer: -8*w**3 - 142*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -63 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (((-6)\/20)\/((-1479)\/(-4930)))\/(28\/(-2))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes before 5:55 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 0 - 6)*(0*d - 4*d + 3*d) + (-2*d - 3*d + 3*d)*(-4 + 3 + 6) - 3*d + 0*d + d to the form r + a*d and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-seven fifths of a litre in millilitres?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1850 and 6.\nAnswer: 5550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2485 and 85?\nAnswer: 42245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -20*g**2 + 14595*g + 3650 = 0.\nAnswer: -1\/4, 730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11 - (-37 + 26)) + -23.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 0*n**3 - 3*n**3 - 3*n**3 + 5*n**3 - 1 - n**2. Let w(m) = -5*m**3 - 6*m**2 - 2*m - 4. Let r(c) = c - 12. Let b be r(6). Calculate b*i(f) + w(f).\nAnswer: f**3 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66) - (sqrt(66) - ((sqrt(66) + sqrt(66) + sqrt(66)*1)*6 + sqrt(66) + sqrt(66))))\/((sqrt(48)*-2)\/sqrt(8)).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -86.20262 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {k: 1, z: 1, y: 7, w: 8}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**3 + 2*y**2 - 2*y. Let g(k) = -2*k**3 - 3*k**2 + 3*k. What is -4*g(d) - 6*v(d)?\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*z + 18*z - 15 = 0. Let k(d) = 7*d**2 + 3*d. Let o(h) = 13*h**2 + 5*h. Let q(y) = z*o(y) + 5*k(y). Let l(c) = 18*c. Determine q(l(g)).\nAnswer: -1296*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (932\/10668)\/(3\/(-9)). Let m = i - 3\/127. Let h be (-70)\/(-21)*2\/10. Sort h, 0.5, 1, m.\nAnswer: m, 0.5, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 573390?\nAnswer: 2, 3, 5, 23, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 7) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, 6, -8 in increasing order.\nAnswer: -8, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of n**4\/2 - n**3\/3 + n**2 - 22*n - 24. Determine v(3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1011033031 (base 4) to base 11\nAnswer: 184086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 110000000 (base 2) to base 14\nAnswer: 1d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.9?  (a) 14  (b) 1  (c) -3  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -91, -125, -133, -103, -23, 119, 335, 637?\nAnswer: 1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/21, -8, 0.2, -71164 in decreasing order.\nAnswer: 0.2, -4\/21, -8, -71164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 15760 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**3 + 11*k**2 + 11*k - 10. What is the tens digit of v(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -22*c + 1. Let z = -4 - -7. Suppose -12 = z*i, 0 = -5*o - 6*i + 2*i - 46. What is the units digit of q(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 62*u**2 - 6152*u\/11 + 126\/11 = 0.\nAnswer: 7\/341, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1405 by -1.\nAnswer: -1405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 51\/(-85)*(-5)\/26*(600\/(-135))\/10.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x**5\/13 - 110*x**4\/13 + 742*x**3\/13 + 88*x**2\/13 - 3032*x\/13 + 1408\/13 = 0. Calculate x.\nAnswer: -2, 1\/2, 2, 11, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 239539 and 1.\nAnswer: 239539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -235054785*w**2 + 235054785*w**2 + 147 + 2*w - 3*w**3 in the form x*w**3 + j*w + r + d*w**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uhuu when four letters picked without replacement from uhuuuhuhhhuuu?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/6 - 39\/(-9). Suppose -4*n + k*q = -164, 5*n - 2*q + q = 213. Let s = n + -30. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3615, -3613, -3611, -3609, -3607, -3605?\nAnswer: -3603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1))**(1\/6)*(v\/(v*v*v\/(v\/(v**2\/v*v))*v))**(-11\/4) assuming v is positive.\nAnswer: v**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -53.94 - -53. Let h = d + 0.74. Which is the closest to h?  (a) 5  (b) -2\/7  (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1050852079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**2 - 2*h - 6. Calculate the remainder when c(4) is divided by 2\/(-3) - (-10)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + 12 + -35 - (-4 + 10).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14.95 - 0.05. Let n = f - -15.0021. Round n to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80219015497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -37 + 2*u**3 - 11*u**3 + 8*u**3 as v*u + m*u**2 + c*u**3 + i and give i.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 491, 810, 1631, 3206, 5787?\n\"Answer: 42*j**3 - j**2 + 28*j + 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*b + 11 + 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/125 of a kilometer in centimeters?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -63\/5 in -0.4, 2, -8\/109?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**3 + 13*l**2 + 6*l - 23. Determine h(-12).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 9340 - -149?\nAnswer: 9489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 68\/297 + -8\/99. Is -1 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-112 - -109)*(-1)\/15.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.25 + -4.25. What is the third smallest value in 0, h, -1\/3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1413)\/(-306))\/157*2.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -156*p - 95*p - 62*p + 74*p to d*p + m and give d.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, s: 5, p: 2, z: 1, m: 8}. Give prob of sequence mss.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:40 AM and 9:40 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -20*u**2. Let w(j) = -1388*j. Calculate w(f(g)).\nAnswer: 27760*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 27\/424 or -368?\nAnswer: -368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*m + 56*m = -84 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from {c: 2, h: 1, j: 1, a: 2, e: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -15.177 - -0.13?\nAnswer: -15.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 382, 346, 268, 142, -38, -278, -584, -962?\n\"Answer: -s**3 - 15*s**2 + 16*s + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.04439 + 61.\nAnswer: 61.04439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 724046005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:32 PM and 7:19 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the third derivative of -7*s**5\/60 - s**2 + 13*s. Let b(i) = i. Calculate x(b(k)).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m*m**(-4))*m*m*m**(2\/9)*m)\/(m**5*m*m**7))**(-2\/61) assuming m is positive.\nAnswer: m**(104\/549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 31169.536 - -13751\nAnswer: 44920.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1542754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1176 (base 10) to base 4\nAnswer: -102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*q**(1\/2)*q**0\/q*q**(-5)\/(q**(3\/2)*q) assuming q is positive.\nAnswer: q**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 3346642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 121803*f**4 - 29*f + 1770?\nAnswer: 1461636*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 864 = -21*f + 927. Solve f*u = 41 - 47 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a second in milliseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1322 - 511. Let x = v - 813. Sort 0, 50, x in decreasing order.\nAnswer: 50, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 117.529 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1076877 or -1076776?\nAnswer: -1076877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1764?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 247392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 7869869 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 - 3. Let d(x) = -13*x + 2. Let y(a) = -168*a + 27. Let o(p) = -27*d(p) + 2*y(p). Give o(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4257889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -5*t + o, -16*o - 7*o = 4*t - 96 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 378 and 252?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 193 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 i when three letters picked without replacement from ippiiiii?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, 0.0607, 559\/10?\nAnswer: 559\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 510407*c**4*z**2 - 2*c**2*z**2 - 948*c**2 - 4*c - 3 wrt c?\nAnswer: 12249768*c*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1.2  (b) -1\/10  (c) -0.025776\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 75*p**3 - 2*p**2 + 109 + 43 + 2*p**2 - 67*p**3 - 152.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 43*u**2 + 1089*u + 105593 wrt u.\nAnswer: 86*u + 1089","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(275) - (sqrt(275)*2 + 2) - sqrt(275)) + sqrt(275) + -1)**2.\nAnswer: 30*sqrt(11) + 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4815 divided by -6?\nAnswer: 1605\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -250*z - 3259. Determine r(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the first derivative of -2*n**3\/21 + 16*n**2\/7 - 128*n\/7 - 18. Factor y(l).\nAnswer: -2*(l - 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 68 + -242. Let l = t - -176. Solve 0 = 3*b - 6, -b + 10 = 2*z + l*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-22 - -18)*2\/(-4). Let o(w) = 6*w**2 - w + 3. Let m be o(g). Let q(r) = -22 + 47 - r - m. Let b(l) = 22*l**2. What is q(b(z))?\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -178*r**3 - 4*r**2 - 3*r - 85 + 4*r**2 + 83.\nAnswer: -178*r**3 - 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:03 PM and 2:35 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2632 - 2375. Is 258 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - 5.12. Let i = -0.08 + h. Let q = -2\/57 + -28\/285. What is the smallest value in i, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252)\/sqrt(4))\/sqrt(3) + sqrt(1344) + (sqrt(1344) - (4*sqrt(1344) - sqrt(1344))))\/(5*(3*(sqrt(175) - sqrt(175)*2) + sqrt(175) - sqrt(175))).\nAnswer: 7*sqrt(3)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -202203 - 30322?\nAnswer: -233131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -23 - ((-60)\/50)\/(374\/7535)\nAnswer: 20\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 46767 and 5109?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1416 divided by 354.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**2\/11 - 1088*q\/11 - 22560\/11.\nAnswer: 2*(q - 564)*(q + 20)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -4.5, -1.03185, -1\/22, 0 in ascending order.\nAnswer: -4.5, -1.03185, -1\/22, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19.7 - 14. Let d = 6 - p. Let z = 0.109 - -0.291. Which is the third smallest value?  (a) z  (b) 0.5  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -62\/35 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2 + (-410)\/(-175))\/(2\/(-5)). What is the third biggest value in -0.1, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2*o**2 - 7*o - 5. Let v be d(6). Let b = 53 - v. Calculate the remainder when 111 is divided by b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 117\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000167 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 3*x + 60 = -3*t, -3*x + 24 = -2*t. Let f = -7 - t. Solve f*y - 20 = 0, 5*s + 4*y - 32 = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 - 4194?\nAnswer: -4197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 80 + -105. Let p(z) = -z**2 - 29*z + 20. Calculate the remainder when p(s) is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-35 + 17 - -22) + (-3 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 58 = -7. Suppose 2*n - o = p, 0 = -3*n + 8*n + 5*o - 65. Let f = 45 + n. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 107603*-3.\nAnswer: -322809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12\/18 - (-14)\/(-18). Let f = -68.8 - -74. Let q = -7.2 + f. Which is the nearest to q?  (a) g  (b) -1\/4  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10.3 - -9.3. Which is the nearest to -0.11?  (a) 1  (b) f  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1687106, -1687106, -1687104, -1687100, -1687094?\n\"Answer: y**2 - 3*y - 1687104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(18)\/(sqrt(6) + sqrt(12)\/sqrt(2)*5))**2 + -2).\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 120\/50 - 8 - (-9)\/15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j = 5*f - 9, -13*j + 16*j = -6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u**3 - u**3 - 2*u**3 + 0*u**2 + 0*u**2 - 2*u**3 + (-5*u**2 + u**2 + 2*u**2)*(3 - 2*u - 3))*(0*u + u**2 + 0*u) + 67*u**5 + 728*u - 728*u.\nAnswer: 70*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4.9 + -20.1. Let h = c + 14. Let r = 22 + h. Which is smaller: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1670*n**3 + 4*n**2 - 592*n**3 - 4*n**2.\nAnswer: 1078*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(204)\/(-3*(sqrt(24)\/sqrt(2) + sqrt(12))))**2.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - j - 29 = -9, j = 4. Let c = -17 - -41. Calculate the greatest common divisor of c and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 4:04 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2848644 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 138 - 136 - 2707*x**3 - 38*x**2 - 23*x**2 + 61*x**2 in the form w*x**2 + j*x + m*x**3 + r and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1\/7455 - -206249\/44730. Let m = 4109 - 90381\/22. Find the common denominator of m and w.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(0 + (-6*(1 + sqrt(448) + sqrt(448)))**2).\nAnswer: -258192 - 4608*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 55197379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 964.6565 + -934.856363. Let b = o + -29.8. Round b to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 845520796?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d**2 - 3124*d - 1219922 = 0.\nAnswer: -781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 26 = 2*x, 3*x + 4*n - 19 = 19. Suppose -4*c + 88 - 8 = 0. What is the highest common divisor of x and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + -12 + 480\/27.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -121\/691 or 1?\nAnswer: -121\/691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 762384.2 tonnes?\nAnswer: 762384200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5b3 - ad3a?\nAnswer: -b3ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (6*(-1 + sqrt(396)))**2 + (-6*(sqrt(11) + 0))**2 + (-1*sqrt(44)\/sqrt(4) - sqrt(11)) + -3.\nAnswer: -434*sqrt(11) + 14690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 40 and 27592256?\nAnswer: 137961280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -3*w - 3, 2*w + 0*w = -g - 5. Let s be g\/(1 + (-2 - -2)). Let n(z) = -z + 1. Let v(x) = 3*x + 0 - 3 - 2 - 1. What is s*v(y) - 6*n(y)?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 12, -1.83, -5?\nAnswer: -1.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 192.1667 to one decimal place.\nAnswer: 192.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kiii when four letters picked without replacement from {i: 5, k: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the third derivative of 0 + 0*k**3 + k**2 + 0*k**6 + 0*k + 0*k**4 + 2\/105*k**7 + 1\/20*k**5. Find the third derivative of x(v) wrt v.\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffgfgggfffffffgggggf. What is prob of picking 4 g?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31123 is divided by 173.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 1 = 2*m, 2*o + 3*m = -4 - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1555, -2, 0.2 in increasing order.\nAnswer: -1555, -2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -2*o**2. Let z(p) = -325*p**2. What is z(u(k))?\nAnswer: -1300*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*i + i. Suppose -3*h + 42 - i = 0. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes after 6:24 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 0  (c) -4\/3  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 81 - 85. Let a(h) = -h**2 - 3*h + 6. Let k be a(r). Solve 0 = k*d + 2*i, 3*i + 4 + 1 = -2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/3)*k*k*k*k)\/(k**(3\/5)\/k)*k**4*(k\/(k*k\/(k\/k**3)))\/k*(k**(2\/3))**(-22)\/((k**(2\/3)*k)\/(k*k**(-2\/5)*k)) assuming k is positive.\nAnswer: k**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**4 + 49*m**3 + 99*m**2 - 203*m - 415. Let i(p) = p**4 - 49*p**3 - 98*p**2 + 204*p + 416. Let y(w) = 8*a(w) + 7*i(w). Factor y(b).\nAnswer: -(b - 51)*(b - 2)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 120479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 246 = 2*n + 66. Let f(k) = -90 - 4*k + n. Let q(r) = r**2. Give f(q(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -59983, 3, 1 in descending order.\nAnswer: 3, 1, -59983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4779 or -2286?\nAnswer: -2286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -240 + 261. Which is smaller: k or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21364\/2885 - -3\/577. Which is smaller: d or -6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 7.674149 millennia?\nAnswer: 76.74149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -84, 1, 398108, 2 in ascending order.\nAnswer: -84, -1, 1, 2, 398108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 5396.\nAnswer: 1\/2698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -97?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.045  (b) 2  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*h**3 - 8*h**3 - 8*h**3)*(-3 + 6 - 1) - 3*h**3 + 2*h**3 - h**3.\nAnswer: -22*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 503*t + 26024 - 320 = -324*t - 91*t for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 268*x = 224 + 546 + 302 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 7*b**3 - 4*b**2 + 8381*b + 41872. Give g(-5).\nAnswer: -1008","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - -1000111011?\nAnswer: 1001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(35)\/sqrt(567) - (-1*sqrt(80) + 2 - sqrt(80)).\nAnswer: -2 + 22*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -49.8 - -369.\nAnswer: 319.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-291 - 85 + 93)*(p + 0*p - 3*p) to the form n*p + w and give n.\nAnswer: 566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - 0 - -3)*2. Suppose 0*l = -h*l + l. Let j(r) = r**3 + r**2 + r - 19. Calculate j(l).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -12*z**3 - 7*z**2 - 19*z - 3. Calculate k(-3).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the third derivative of p**4\/12 + 137*p**2. Let u(x) = 3*x. Suppose -2*h - 21 = 3*d, -9 = 2*h - d - 0. Give h*k(a) + 5*u(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 11 - 1 = 0. Let g(x) = -x**3 + 25*x**2 - 28*x + 96. Let y be g(24). Let i = -8 - -11. Solve z*n = -y - i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-40)\/6*(-6)\/4. What is the greatest common factor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17 + -7. Suppose 5*c + 0*c - 10 = 0. Calculate the highest common divisor of q and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((4*-1*sqrt(400))\/sqrt(10))\/(sqrt(968)*1*2 + sqrt(968)).\nAnswer: -4*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 10195579 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of 0 + h**3 + 0*h + 1\/16*h**4 - 1\/80*h**6 - 1\/10*h**5 + 22*h**2. Solve v(p) = 0 for p.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -425, -342, -269, -212, -177, -170?\n\"Answer: -k**3 + k**2 + 87*k - 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 31012626*s**3 + 34417*s**2 + 429*s wrt s.\nAnswer: 186075756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -5, -17, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1, 26, -5 in decreasing order.\nAnswer: 26, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 63.8 + -53. Let j = h - 18.1. What is j rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 444102 is divided by 6521?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (80\/(-15302))\/(2716\/196 - 14). Is c at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -4*z - 11. Let v(u) = 2*u - 2. Let m be v(-4). Calculate the remainder when a(m) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51 + 345 = 44*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -c + 3*o + 18, 6 = 4*c + 2*o. Let d be (2\/(-4))\/(c\/48). Is d at least as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 3*s + 90 = 0. Let k be (-16)\/6*(4 + -16). Let x = k + s. Calculate the least common multiple of 6 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1439500?\nAnswer: 2, 5, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**2 + 14*i + 21. Let c be s(-15). Round c to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 3*t**2 + t - 1. Let r(k) = -897 + 1804 - 906. Calculate r(j) + y(j).\nAnswer: 3*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 + -4. Suppose -5*y + 76 = -x*o, 6*y - 142 = 4*o + y. Let q = o + 84. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iilc when four letters picked without replacement from {x: 3, i: 3, c: 1, l: 1, j: 1, h: 6}?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53 = -18*p + 109. Let t = -88 + 141. What is the remainder when 2\/(-3 + 161\/t) is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + 13 = -h, 1 = -h - 3*v - 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21925163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -15*n - 3. Let v be h(-2). Let o = v - 17. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -234224 + -2?\nAnswer: -234226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -176*i - b + 13 = -175*i, -4*i + 2*b + 56 = 4 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1001001100110110101 (base 2) to base 8.\nAnswer: 1114665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 3*c**2 + 17*c - 30. Does 22 divide p(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -40 + -22 - -45 - (2 + -3 + 5)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 11372*s - 45613. Determine j(4).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, -3.501, -8\/15?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 589490140 divided by 5.\nAnswer: 117898028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes after 7:36 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 - -11. Let r = 117 + -66. Let l = r - p. Does 31 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*l + 1 - 3 + 2*l**4 - 4*l + l**2 + l to y*l**3 + h*l**2 + v + z*l + o*l**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s + 397 = -98. Let f = 55 + s. Suppose f = 3*n - 6*n. Which is the second biggest value?  (a) 2\/15  (b) n  (c) 2\/9  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -12*v - 1. Let m be w(-9). Suppose -238 = -4*z - x, -m - 198 = -5*z - 5*x. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 81931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/14)\/(-1)*(-98)\/(-9212)*94.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 4*l. Let p(h) = -32879029*h**2. Determine s(p(x)).\nAnswer: -131516116*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 359888091*n**3 - 893*n**2 - 102449?\nAnswer: 2159328546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2189 - 2161. Calculate the highest common divisor of 108 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1097 + 1091. Let p(i) = -i**3 - 6*i**2 + 9*i + 1. Give p(r).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 777 - 159 = 4*s - 3*m, -5*s = -5*m - 775. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 87151.3619 to the nearest 10.\nAnswer: 87150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 25077592999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the first derivative of 2*o - 1\/3*o**3 + 3\/2*o**2 - 128. Give k(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -15*j + 120. Let m be i(-7). Let b = m - 213. Solve 3*d = -3*f - b, -16 - 4 = 5*d + 2*f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39626807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21 - 42) + (-14 - -31).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 13 - (-3 - 35) - 130\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of 197*l**8\/336 + 115*l**4\/12 + 267*l**2. What is the second derivative of p(a) wrt a?\nAnswer: 3940*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*-53982\nAnswer: 10796.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-10)*12\/((-84)\/(-35))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/1178044 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 6*v - 49. What is the remainder when n(11) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6554 - -6812. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -154 - -154.1. Which is the nearest to y?  (a) -2\/7  (b) -4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14177.\nAnswer: 14177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (9*7\/126)\/(4\/((-152)\/(-1)))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-673648)\/355)\/((-14)\/35).\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-7)\/(-8)*-2)\/((-1)\/4). Suppose -f - 13 = -5*a. What is the greatest common divisor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2787434051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 s when two letters picked without replacement from {i: 2, s: 1, f: 3, t: 10}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 + 1. Let f be b(-1). Factor f - 1\/4*z**2 + 1\/4*z.\nAnswer: -z*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.246, 1, 3\/4, 0.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 156847*j*p*q + 94026*p*q wrt j?\nAnswer: 156847*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4652995*j**2*k*x**3 + j**2 - 8*j*k*x**2 - 2*j*x**2 - 2*k*x**3 + 317*k*x**2 + k*x wrt x.\nAnswer: 27917970*j**2*k - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6405 or 6415?\nAnswer: 6405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5\/(-7) + (-2)\/7. Let s(b) = 40*b + 1. Let a be s(z). Let t = -24 - a. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 0*b + 6 = 0. Suppose u = -3*w + 548, b*w + 2 = -8. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjt when three letters picked without replacement from {j: 2, g: 3, t: 4}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 25 - 18. Let z(b) = b**3 - 8*b**2 + 9*b - 6. What is the units digit of z(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.3, -1, -0.05, -0.7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l - 7. Suppose 6*x = 67 - 7. Give n(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 + 3)*(15 - 3 - 13)*(4*l**2 - 3*l**2 + 0*l**2) + (-1 + 5 - 2)*(l**2 + 0*l**2 - 3*l**2).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/(3 - 12\/8). Let p(i) = 6*i + 2. Calculate p(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 18 - -52. Let x = g - -365. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9 + 12. Suppose -s*v - 3 = -0. Is (-3)\/(v\/((-326)\/(-6))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-27)\/14*110390\/(-118275)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 789*m - 793*m + 7 + 13 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the second derivative of 43\/30*l**6 - 11 + 0*l**5 + 0*l**4 + 0*l**3 - 36*l**2 - 7*l. What is the first derivative of a(n) wrt n?\nAnswer: 172*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -2*f**2 + 3*f + 96. Does 8 divide b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - -2 - (-9 + 4 - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in thirty-three fifths of a kilogram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 216 = 5*m + 3*d, -5*m + 184 = -4*d. Suppose l - m = -4*l. Calculate the remainder when 14 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 226803\/399 - ((-11)\/7 + 2).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(448))*3 + 5 + -1*sqrt(448))**2.\nAnswer: 160*sqrt(7) + 1817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3224, 6446, 9666, 12884, 16100, 19314, 22526?\nAnswer: 25736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14842598 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 6178550 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 60\/80*(-88)\/99\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is w in 5*w**5 - 60*w**4 + 140*w**3 - 30*w**2 - 145*w + 90 = 0?\nAnswer: -1, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 125180546 is divided by 477.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 569438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7.8 - 5.8. Sort 70, 5\/3, w in decreasing order.\nAnswer: 70, w, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 4*g - 7. Let k(b) = -b**3 - 9*b**2 + 9*b - 2. Let v be k(-10). Let h(z) = -6*z + 11. Calculate v*a(s) + 5*h(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 4, r: 3}. What is prob of picking 3 r and 1 m?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*c + 14 = -16*c + 4*j, 5*c + 12 = 2*j. Let r(h) = -h**3 + h**2 + 3*h. Give r(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2923247759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 25*n - 72. What is the remainder when n is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4 + (-65)\/15 - 22\/(-30). Which is the fourth smallest value?  (a) -0.3  (b) 0.1  (c) 26  (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, h: 4, r: 4, a: 6}. Give prob of picking 1 r and 3 a.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2\/2227 + 2219\/8908. What is the biggest value in 23, -3, -1\/4, -2, n?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n - 1 - 4. Let y(c) = 1 + 3*c**3 - 26*c**3 + c + 13*c**3. What is the units digit of y(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/14)\/((-26)\/(-52)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = -3*h - 23, h + 13 = -4*h - 3*n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -66.\nAnswer: -5\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5.7 - 0.7. Let r = 18 - 18. Which is the second biggest value?  (a) 2  (b) p  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 687.835mg?\nAnswer: 687835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1182 - 4*l**3 - 1182.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:40 PM and 3:01 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -4*w - 664, -10*m - 1014 = -13*m - 3*w. Is m a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)\/(sqrt(80)\/sqrt(32)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g + 36. Let t(c) = 2*c. Calculate a(t(s)).\nAnswer: -2*s + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1317 - 4*z**3 - 12*z**2 - 2*z - 1317 + (-z + 2*z + 7*z)*(z**2 + 0*z**2 - 2*z**2) + 0*z + 0*z + 2*z**3.\nAnswer: -10*z**3 - 12*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 677685 is divided by 677542?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3 times 5393\nAnswer: 16179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q + 9430 = 54*q. Suppose -3*k + 194 + 231 = -5*z, 3*z - 2*k + 256 = 0. Let y = q + z. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*c - 14*c + 20. Let k(x) = 1 + 2 + 2*x**2 - c. Let m(o) = 2*o**2 + 1 - 5*o**2 + 2. What is 7*k(q) + 4*m(q)?\nAnswer: 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 753 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 + h**2 + 2*h. Suppose 70 - 4 = 11*v. Let t(f) = -10*f**3 + 7*f**2 + 12*f + 1. Let q(x) = v*u(x) - t(x). Calculate q(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from iakbmkpambkbbk.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 8 = -10, 0 = 5*z - 2*i - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(49) + sqrt(196)\/sqrt(100))\/(sqrt(112)*2) + (-2*sqrt(700)*2 - (2*2*sqrt(448) - sqrt(448))))**2.\nAnswer: 11415103\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 52, -1, 2 in decreasing order.\nAnswer: 52, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 448\/10 - 2*3\/(-30). Suppose 6*p = v + 75. 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: Rearrange -39680 + 304*z + 39680 to p*z + w and give p.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-230)\/(-46) + (-1 - 11\/3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the first derivative of -v**2 - 16*v - 5. Let b be c(-11). Which is greater: b or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 13 and 160800 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*h - 10. Suppose -3*b + 6*b = z + 13, 3*b + h*z - 8 = 0. Solve b*y = 4*k - 8, y - 6*y = -2*k + 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-7)\/2254*-7)\/(1\/12))\/(28\/(-56)).\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 2*o**2. Let r(q) = -5*q + 4. Let k(m) = -4*m + 3. Let l(n) = -4*k(n) + 3*r(n). Let i(u) = 9*u**2 + 5*u. Let v(j) = -i(j) + 5*l(j). Give v(b(c)).\nAnswer: -36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5373167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 71, 5, 0.6543, -2 in ascending order.\nAnswer: -2, 0.6543, 5, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1977 divided by -2\nAnswer: -1977\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 18 - 33 - (5 + 3 + -17 + -9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -5*v + 31, 4*v + l + 13 = 17. What is the second biggest value in 0.4, v, 0.5, 0.61, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 113\/28 and -67\/98.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*k**3*u**3 - 2*k**3*u + 2*k**3 - 196*k**2*u**3 - 168*u**3 - 1918*u**2 + 2 wrt u?\nAnswer: 12*k**3 - 1176*k**2 - 1008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -175849936 by -4936.\nAnswer: 35626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 2*m - 1. Let b(q) = 14*q. Determine -b(l) + 3*r(l).\nAnswer: -8*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:06 AM and 12:36 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 - 3)\/2*-290. Let u = 64 - b. Let t = u - -85. What is the least common multiple of t and 66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53041115 divided by 3.\nAnswer: 53041115\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -2*s**2 - 1. Let m be ((-4)\/(-6))\/(2\/3). Let x be n(m). Let h(g) = -4*g - 4. Let l be h(x). What is l rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b + 2*b + b + (-2 + 3 + 1)*(6*b - 4*b - 4*b) + 3*b + 2*b - 2*b - 3*b - b + 2*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 465.99987883 - 466. What is d rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from ammam?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.34 - 0.04. Let n(j) = j**3 + 4*j**2 + j + 5. Let q be n(-4). Let b be (12\/9 - q) + -1. Sort 4\/3, u, b.\nAnswer: b, u, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.236 + 5.236. What is the nearest to -1\/2 in 23, 1\/2, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/38 and -15\/8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1549260 divided by -95\nAnswer: 16308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x. Let w(h) = 88*h**2 - 6*h - 1. Let q(s) = -4*n(s) + w(s). Is q(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c + j + 5, -4*j + 12 = -j. Let u be 99\/45*(2 - -3) - c. What is the first derivative of -u*n**3 + 15*n**3 + 12 + 7 wrt n?\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*96\/(-18) - (-21879)\/(-1377)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/4  (b) -0.1  (c) -42102  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 294629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 504*k + 5009. Calculate h(-10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 equal to -0.34057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/(i\/i**(-4))*i**(2\/5)*i*i*i*i)\/(i**2)**(-25\/3) assuming i is positive.\nAnswer: i**(271\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 3:37 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 24888*u**3 - 6*u**2 + 7*u. Is f(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2 - (-5)\/(5\/2). Suppose r = -2*a + 4*a - 172. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3719998*h - 3720000*h + 7439998*h - 2*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2021 - -10111?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 663 is divided by 114.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 648*r**3 + 4*r**4 - 304*r**3 - r**5 - 344*r**3 + 1917 - 2*r**2 + r wrt r?\nAnswer: -20*r**3 + 48*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, a: 3, d: 1}. Give prob of sequence da.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2\/92387 - 2864013\/739096. Find the common denominator of 6\/(-10) - (-2)\/3 and s.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 98\/56 + (-2)\/(-8). Let 76*l**4 + 2*l**3 + 2*l**2 - 78*l**4 - 2*l**5 - 2*l + k*l = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38692048.64 - 13340?\nAnswer: 38678708.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -2*i**2 + 15*i - 15. Let a be v(6). Suppose -a*w - 20 = -53. Let s = 13 - w. Solve -x + s*d = 10, 5*d - 4 = -3*x + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 5*k + 492 = 0. Let a = k + 211. Calculate the remainder when a is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and -153322.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 0, 0*p = -5*o - p + 20. Suppose -10 = -9*z + o*z. Solve -z*k = 0, 2*h + 3*k + 9 = 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:14 AM and 12:30 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*h - 4*h + 19*h)*(h + 1 - 1).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.0144?  (a) 1  (b) 1\/8  (c) -7\/3  (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 8, 2\/5, 72, 13\/252?\nAnswer: 13\/252","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + b = 24. Suppose 0 = -2*a + b*a. Find v, given that 3\/4*v**3 + 0 + a*v - 3\/4*v**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1058762361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1\/8095 - -3246088\/56665. Let t = -57 + y. Let k = -1.6 - -1.7. Which is smaller: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15053*b = -15065*b - 156 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8315 * 0.015.\nAnswer: -124.725","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: 0 - -9 - (23 + -5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -837 - 1821 = -6*a. Let r(l) = -a*l + l**2 + 443*l. Let q(b) = -29*b**2. What is r(q(n))?\nAnswer: 841*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 282372376 by -3208777.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -53, 2\/7, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the third derivative of 61*r**6\/24 + 5*r**4\/24 + 43*r**3\/2 - 2*r**2 - 46. What is the second derivative of z(q) wrt q?\nAnswer: 1830*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence poob when four letters picked without replacement from hohufbpbhpoppph?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes before 10:08 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -157857*u*v**4 - 52*u*v - 4*u - 5*v wrt v.\nAnswer: -1894284*u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1184 is divided by (92\/18)\/((-74)\/(-5661)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -57edd3 (base 16) to base 14\nAnswer: -aa0083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-9\/7)*w*(w\/((w**6*w)\/w))\/w*w assuming w is positive.\nAnswer: w**(-37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-2*sqrt(192))\/sqrt(4).\nAnswer: -8*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0192 and 262?\nAnswer: 5.0304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -2*k - 37. Determine g(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 87\/460 - -1\/92. Factor 0*t + 0*t**2 - p*t**3 + 0.\nAnswer: -t**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 83863 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -95 - -134. Let j = -272 + 424. Calculate the remainder when j is divided by w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-90)\/(-198*41\/164)?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*6*((-3*(2 + sqrt(1377)) - sqrt(1377)) + -3)**2*-4*-3.\nAnswer: 233280*sqrt(17) + 7960680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-101)\/3*(-13 - -7). Suppose 0*o - 2*a = 3*o - j, -4*a + 148 = 2*o. Let z = 1131 + -1066. Is o != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3 + -3 + 2)*1. Suppose -5*g - 23 = q*m - 3*m, -4*m - 5*g - 8 = 0. Suppose -o - m*k = -9 - 5, -o + 3*k = -32. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 AM and 1:06 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1, -845, -98, -2\/5, 3\/2 in descending order.\nAnswer: 3\/2, 1, -2\/5, -1, -98, -845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 3  (b) 4  (c) -3  (d) -1\/5  (e) -0.12  (f) -0.074\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1314 - -1317. Let z = -3 + 2. Sort 43, v, 1\/3, z in descending order.\nAnswer: 43, v, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6830 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.1 - -0.1. Let u = -0.3 - -0.4. Let s be 2 + 0 - 36\/15. Which is the closest to u?  (a) 1\/4  (b) s  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10152*d**3*w**3 + 4143*d**3*w - 2*d**2*w**2 - 1149083*d*w**3 - 11*d*w**2 wrt d.\nAnswer: -60912*w**3 + 24858*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 77 + -63. Let f be 4\/x + (-2 - (-204)\/(-28)). List the prime factors of f\/(-2)*12*(-232)\/(-72).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 + 22. Suppose -2*q = 6 + 4, 4*n - 3*q = 151. What is the remainder when n is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54 is divided by (-1)\/(1\/(-24)) - 4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5\/2  (b) -2\/3  (c) 10.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**3 - 5*u**2 - 16*u - 27. Let i be x(-3). Suppose 0 = 4*w + 5*z - 294, 0 = 2*z - i + 7. Is w >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/16*(-4 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13085*o**3 + 12141*o**3 + 950*o - 950*o.\nAnswer: 25226*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 687.0961 grams to micrograms.\nAnswer: 687096100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -12*z**2 + 3*z + 3. Let l be g(-5). Let x be 4\/1 - l\/(-84). Put x, -1, -0.5 in descending order.\nAnswer: x, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.053, -2\/7, 0.3, 42?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, o: 5, i: 3, f: 1, h: 4}. Give prob of sequence loio.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 20566263 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a week in hours?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 4*p**4 - 45412*p**3 - 2783256*p**2 - 20085248*p - 38716288 = 0.\nAnswer: -53, -4, 11414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23031, -23036, -23041?\nAnswer: -23046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 966, 1067, 1242, 1491, 1814, 2211, 2682?\n\"Answer: 37*k**2 - 10*k + 939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81*x - 89*x + 20024 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence swca when four letters picked without replacement from aeesseeaaaeaceaeaeuw.\nAnswer: 7\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbbbbbebbbbbbb.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3078788, -6157576, -9236364, -12315152?\nAnswer: -15393940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2734.843 minutes in nanoseconds?\nAnswer: 164090580000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -3*i + i**2 + 4*i - 6*i - i**3 + 4*i. Let r be g(1). Is 2\/23 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 5*a + 22. Let v be (2\/(-1) + 4)\/((-66)\/165). Determine s(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 + 4. Suppose -6*z + z + 3*o = -21, -o + g = z. Suppose -z*l + 16 = -38. Calculate the smallest common multiple of 14 and l.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 21310757.45477795744 - -1188.24522238256. Let z = l + -21311948. Let w = z + 2.3. What is w rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 12  (b) 1\/2  (c) -0.2  (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1363149*c + 0*c**2 + 1363149*c + 0*c**2 + 1239*c**3.\nAnswer: 1239*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -239707 - -9.5.\nAnswer: -239697.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0109327 to five decimal places.\nAnswer: 0.01093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 121 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 3*c = 4, b + 4 = 4*c + 8. Suppose -y - 2*y = f - 9, 0 = 4*f + b*y - 28. Suppose -4*w = -3*w - 17. What is the remainder when w is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -353 = 3*v - 1145. Let n(b) = 121*b - 4. Let p be n(-1). Let d = v + p. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23600648, 23600649, 23600650, 23600651, 23600652?\nAnswer: 23600653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -3*g + 1. Let c be k(1). Suppose -2*r - r = 0. Put r, 1, c in descending order.\nAnswer: 1, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5067 + -3500. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 5 = f. Let a be (f - -3) + 0 + -10. Does 5 divide (-15)\/a*(-1 - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -516*q. Let z(m) = -m - 9. What is z(k(p))?\nAnswer: 516*p - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 + 14*y + 54*y**2 - 10*y.\nAnswer: 54*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 - 2575?\nAnswer: -2574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -22 - -107\/5. What is the closest to 1 in 2\/5, b, -0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3134777839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 - 4*m**2 + 4*m + 3. Suppose 2*u - 5*u - 18 = 0. Let h = -11 - u. Is 4 a factor of w(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 118956767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -13\/39531  (b) 12\/11  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = -2*v. Suppose v*k = k - 4*f - 102, 5*k + 5*f - 585 = 0. Suppose 5*j = k - 4. Calculate the least common multiple of 20 and j.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 188 = 6*r. Do 47 and r have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k + 14 = -4*g, -194*g + 199*g + 15 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hmhlmahmymayymm. Give prob of sequence hyla.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 5, w: 3, u: 2}. What is prob of picking 3 w?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -3*q + 4*j - 9, 14 = -q - 3*j. Is (-48)\/q + 698 - (2 - 0) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -505936\/145353 - 24\/3727. Let r = -1453\/234 - z. Calculate the common denominator of -17\/10 and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -15*i**2 - 2 - 14*i**2 + 47*i**2 + 11*i - 12*i**2 - 7*i**2. Determine o(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**3 + j. Suppose 0 = -5*w + 3*b - 1, -5*w + b + 15 = 6*b. Let x be g(w). List the prime factors of ((-8)\/4 - x)*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5284593ml in litres?\nAnswer: 0.0005284593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -537, -535, -533?\n\"Answer: 2*g - 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 4 = 85. Suppose z + 8 = 25*s - 28*s, 4*z - 16 = 0. Does 19 divide 114\/i + s + 1436\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(8\/7))**(-3\/29)\/(z**(2\/9)*z**(-2\/65)) assuming z is positive.\nAnswer: z**(-20981\/118755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19 - 66) + (40 - 28 - (3 + 2))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-16)\/n**(2\/13))\/((n*n**(-24))\/n*n**(-1\/13)\/n*n*n) assuming n is positive.\nAnswer: n**(90\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 21086838?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102 (base 8) to base 5.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + (-5 - -6 - -2) + 0 + 118.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 68085 and 25155?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 2 v, and 1 g when four letters picked without replacement from gepeveeveeopgeeopev?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of f**6 + 11*f**5 - 1170*f**4 - 73537387*f**2 wrt f?\nAnswer: 120*f**3 + 660*f**2 - 28080*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31937827.\nAnswer: 337, 94771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is the product of -9 and 18861556?\nAnswer: -169754004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4475*g**2 + 27787 wrt g.\nAnswer: 8950*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 17*u - 20*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 88, 99, 110, 121, 132?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/570 and 101\/30.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -970830 divided by 2010\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 11 and 335?\nAnswer: 3685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -a + 4e85?\nAnswer: 4e7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8446929 is divided by 17972?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.0176 - -0.9824. What is the third smallest value in -2, -2\/3, -3, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -13*d**3 + 2*d**2 - 19*d + 5. Let h be a(4). Let w = h + 894. Let l be -23*1\/(-2)*2. Calculate the highest common factor of w and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cyyccbbbcbmcgqb. Give prob of sequence ccym.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -134 - 5\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*v - 26042 + 4202 = 0. Is v a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2976849006 divided by -5?\nAnswer: -2976849006\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, f: 4, v: 5, g: 1}. Give prob of sequence gvvo.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(242)*2)**2*-4 - (2*-3*(0 + sqrt(242)))**2)*1.\nAnswer: -12584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 2*w**3 - 5*w**2 - 4*w + 6. Determine g(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -6 - 1 + 0 + 7*v + 4*v**2 - v**3. Let h be c(5). Suppose 6 = a - h*w - w, 0 = a + w - 6. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -40357326 (base 8) in base 9?\nAnswer: -17012137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/105042 and -51\/70?\nAnswer: 525210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 2*h**3 - 73*h**2 + 294*h - 366. What is c(32)?\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 271, 1641, 3995, 7339, 11679?\n\"Answer: c**3 + 486*c**2 - 95*c - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -195, -257, -317, -375?\n\"Answer: r**2 - 65*r - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/8 and -37\/372816.\nAnswer: 372816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + p**4 - 1 + (3*p**3 + p**3 - 3*p**3)*(-2*p - 2 + 2) + (-5 + 4 - 2)*(3*p**4 - p**4 - 3*p**4) + 8*p**3 - 8*p**3 - 10536*p**4 - 1618*p**4.\nAnswer: -12152*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6399198331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + 35 = -521*q + 526*q, -4*q + 16 = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 + 13. Let b be g - (-11 - (-3 - -3)). Let i = -9 + b. What is the highest common divisor of 55 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:15 PM and 9:20 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**2 + y + 49. Calculate u(-11).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q + 877. Is o(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -15, 0.4, -0.89, -7\/113 in decreasing order.\nAnswer: 5, 0.4, -7\/113, -0.89, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + -1 - (-19 - -14)) + -10 + 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 489 and 36541014?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/(-3) + 133\/210. What is the third biggest value in 5, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -3*z + 1. Let y be q(-3). Suppose 2*g - 2*d - y = 0, d - 35 + 10 = -5*g. Suppose 4*w - 148 = -g*v, -5*w + 140 = -4*v - 45. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6801.423mm to centimeters.\nAnswer: 680.1423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 1393 - 5*p - 2799 + 1402. Let s(j) = 23*j**2. Determine t(s(w)).\nAnswer: -115*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 757634 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -18*h**3 + 1. Let z = -4 + 3. Is c(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/162 and -49\/180.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 99901 is divided by 47101.\nAnswer: 5699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2, -2.1, -4\/5, -16.95, -21?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -298 (base 13) to base 14.\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 70\/10 + 2 + -7. Solve -h = d + m, 0 = -3*d - 0*d + 3*m - 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -267*c - 217*c = -190*c - 452 + 3098 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -27da34 (base 16) to base 2.\nAnswer: -1001111101101000110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 16759858 to the power of 1\/3, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*o**2 - 6*o**2 - 2*o**2 + (-2 - 2 + 3)*(o**2 + 0*o**2 + o**2) - 5 + 5 - 2*o**2 + 2*o**2 + 2*o - 2*o + 9*o - 8*o**2 - 9*o.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -821, -612, -101, 844, 2355, 4564?\n\"Answer: 22*t**3 + 19*t**2 - 2*t - 860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, o: 2, f: 2}. Give prob of picking 1 f and 1 o.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes after 6:24 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 130*b - 1. Let u(i) = -132*i + 1. What is -3*t(r) - 4*u(r)?\nAnswer: 138*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, i: 3, h: 4}. What is prob of picking 3 i and 1 z?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + 4. Let h be (-2 + 1)*(5 - w). Let p(q) = 0 + 0*q - q + 3 - h. Calculate p(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in nine tenths of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.08 - -0.08. Put -0.1, t, 0.2 in increasing order.\nAnswer: t, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6372\/(-30))\/((156\/40)\/(-13)). Let r = 419 + s. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 - 67?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 570545969 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16.9 + 86.9. Let t = j + -66. Sort -1, 5, 1, t in increasing order.\nAnswer: -1, 1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - l - 48 = 0, 5*k - 9 - 82 = -2*l. Suppose -26 - 4 = -5*b. Let x = k - b. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 718484356*w**3 - 456432942*w**2?\nAnswer: 4310906136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 7, m: 2}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1977 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2867894 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 + 9 + 8 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70) - (-1*(sqrt(70)*-2 - sqrt(70)) + sqrt(70)))\/sqrt(10) - ((sqrt(448) + 3)**2 + -4).\nAnswer: -453 - 51*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -13910 - -7?\nAnswer: -13903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -169410, -338797, -508184, -677571, -846958?\nAnswer: -1016345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23550815.\nAnswer: 5, 53, 181, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 111 * 0.048172.\nAnswer: 5.347092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 4 - 2*f**2 + (0 - 3 + 0)*(-7*f**2 - 16*f**2 - 5*f**2) as d*f**2 + u*f + c and give d.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) 16  (c) -0.03  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n**2 + 3*n**2 + 0*n**2)*(0 - 1 - 1)*(-17*n + 23*n - 7*n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + 2*s - 2*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 6\/5 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(24)\/(sqrt(300) - (sqrt(300) + (sqrt(300)*-2 - sqrt(300))) - sqrt(12)) - ((sqrt(242) + 0 + sqrt(242) + -1 + sqrt(242))**2 + -5).\nAnswer: -2174 + 919*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -419 + 424. Let h(g) = g + 1. Let d(l) = -l - 1. Give o*d(w) + 3*h(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xddxxmdtmxxxxdtmmt. Give prob of sequence dtxt.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -47 + 63. Solve 2*l + s + 16 = 4*s, 4*l + 2*s + y = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 208419 is divided by 103876.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-2\/5)*m)\/m)**(22\/3)\/(m\/m**(-5)*m**5) assuming m is positive.\nAnswer: m**(-209\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 + 7*o + 2. What is f(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -8*q + 2. Let o(r) = 35*r - 4396. Determine f(o(t)).\nAnswer: -280*t + 35170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8 - 5*q**3 - 3*q**3 - 2*q**4 + 8*q**3 + q to a + k*q**2 + w*q**4 + c*q + d*q**3 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.8 + -1.2. Let j = i - -14. Let v = j - 8.38. Round v to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand z - 3*z**2 - z + (-5 + 2 - 42*z + 37*z)*(4*z + 3*z - 4*z).\nAnswer: -18*z**2 - 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/4 or -7\/30475?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the second derivative of 679999*z**4\/12 - z**3\/6 - 11*z. Suppose 2*s + 6 - 4 = 0. Let f be l(s). Round f to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10.13 + -0.87. What is the second smallest value in w, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/2*(7 - 5). Let y be (2\/1 - 1) + s. List the prime factors of (-4 - -1) + y*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -158 - -1652?\nAnswer: 14c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**2 - 7*x + 17. Let v be 7\/(4 - 3) - 3. Let i be v - (0 - 2 - -2). Let j be b(i). Solve -j*z = -1 - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 953*t*v**6 - 5*t - 189*v**2 wrt v?\nAnswer: 114360*t*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2264\/7 + -323. Put l, 3, 0.8, 2 in decreasing order.\nAnswer: 3, 2, 0.8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, x: 1, t: 1}. Give prob of sequence vvx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 9 = 57. What is the smallest common multiple of r and 10*1 + (-39)\/(156\/(-32))?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*i - 3*o = -34*i + 95, 385 = 20*i + 3*o for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4135*p**2 + 3 + 219*p**2 - 5385*p**2 - 2.\nAnswer: -9301*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + w - 4*w = 0. Put -3, w, -5 in decreasing order.\nAnswer: w, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1196740 divided by -119674\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 343480158 by -5452066.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * -500709.1.\nAnswer: -100141.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-5\/4)*u**(5\/6)*u)**(-1\/7))**(16\/5) assuming u is positive.\nAnswer: u**(-76\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2, -1, -456, -4 in decreasing order.\nAnswer: 2, -1, -2, -4, -456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -92, -90, -88, -86?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 85026 take away 503?\nAnswer: 84523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) 0.5  (b) 5  (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*u**3 + 9*u**3 - 4673*u**2 - 4675*u**2 - 2294*u**2 + 11642*u**2.\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 39355906?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 41868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -68322, 0, -0.2, -8 in increasing order.\nAnswer: -68322, -8, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/16 - ((-77)\/56 - -1). Solve -5*k + 2*h - 15 = -2*h, -4*k - 4*h - 12 = v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, -5\/3, -0.03, 11\/2 in decreasing order.\nAnswer: 11\/2, 1\/2, -0.03, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-38 - -46) + 803\/(-33)*(-9)\/(-27)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5559691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -366*y**2*z + 4265*y**2 - 3*y*z - 3*y + 12574*z - 1 wrt y.\nAnswer: -732*z + 8530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1980 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 288 - 95. What is z rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 12.8 and 38.\nAnswer: 486.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 - 11*a**2 - 19*a + 20. Let b be o(14). Let x = b - -1057. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - v - 56 = 3*v, -3*w + 3*v + 186 = 0. What is the greatest common divisor of w and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14) + sqrt(14) + sqrt(140)\/(sqrt(10)*-1 + sqrt(10) - sqrt(10)))\/(((sqrt(49) - sqrt(49)*1) + sqrt(49))\/sqrt(7)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3462283?\nAnswer: 11, 163, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 30179 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100110001111 (base 2) to base 10.\nAnswer: -2447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(153)*-2 + -2 + (-6*(0 + sqrt(1088)))**2).\nAnswer: -30*sqrt(17) + 195830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -81, -124, -167?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes before 11:24 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10653*z = -10638*z - 210 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -2*d**3 + 9*d**2 - 5*d + 12. What is the smallest common multiple of s(4) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6.693 + -6.721. What is the nearest to p in 2, 0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -288, -289, -292, -297, -304, -313, -324?\n\"Answer: -z**2 + 2*z - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-472077296)\/476 - (-2)\/14. Let a = h - -992192. Let l = 433 - a. Which is smaller: 1\/4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10\/(-12)*(1458\/(-90))\/27\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7748*v**5 + 2*v**4 - 2*v**2 - 303*v + 4 wrt v.\nAnswer: 464880*v**2 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127*g = -125*g - 12 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - 48a650?\nAnswer: -48a647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 30 = 4*d. Let l be (21\/d - -2)\/(-3). Which is greater: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 3*z - 4. Let c(l) = 3*l - 5. Let j(f) = -4*c(f) + 5*o(f). What is j(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 PM and 3:04 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -33 * 42087.\nAnswer: -1388871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39880*y**3 + 2*y**2 + 39897*y**3 - 4*y**2 + 39950*y**3 - 119836*y**3 + 2*y**2.\nAnswer: -109*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1263559 and 445962.\nAnswer: 7581354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 64 - 46. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 26.1 + -26. What is the closest to -0.1 in k, -2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 PM and 10:39 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4070110 and 11410?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2419*a - 2360 with respect to a.\nAnswer: -2419","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000306484085 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46 divided by 207665.\nAnswer: -46\/207665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes before 1:31 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = -l + 3, -4*n + 5*l - 4 = 11 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 + 8*b**2 - 8*b + 8. Let h be ((-16)\/(-10))\/(21\/15 + -1). Suppose 0 = -h*l + 38 - 10. Give u(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.04, -152, 4486?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-807)\/2421)\/(28\/(-5628)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 11*f - 1814989 = -3*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 2*h - 3*h - 24 + 24. Let f(w) = 110*w - 60*w - 53*w. Determine f(y(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 + 100?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -103023730*s. Let k(a) = -3*a**2. Calculate k(h(r)).\nAnswer: -31841666829338700*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (3 - (-6 + 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 - -7. Suppose 25 = -3*m + 5*i, -m + 5*m + i - 5 = 0. Suppose -z = -g - m. Solve s = 2*f + z - 2, 40 = -5*s - 5*f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j**2\/5 - 12*j\/5 - 16\/5 = 0. What is j?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8541 is divided by 2070.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19 + 8. Suppose -4*d = -2*k - 8 + 2, 3*d = -2*k - w. Let v = -7 - k. Solve -3*l = 2*f + 10, 0 = 2*f - l - v - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 25391640 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**3 - 11*q**2 + 6. What is t(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 2*f)*(11*f**2 - 2*f**2 - 25*f**2 + (2*f + 2*f - 2*f)*(f - 4*f + 2*f)).\nAnswer: 36*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 220431, 440863, 661295?\n\"Answer: 220432*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/16 or -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3770468 = -37*h - 66*h - 21*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.226545us to seconds.\nAnswer: 0.000004226545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*m + 45*m = 27 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 657 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*r**3 + 304*r**2 - 5*r - 47785 wrt r?\nAnswer: -6*r**2 + 608*r - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18.28 - 18.2. Sort -1, f, 0.4 in decreasing order.\nAnswer: 0.4, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4.03 - -0.03. Let u = -883 - -2683\/3. Let p = u - 11. Which is the third biggest value?  (a) p  (b) -2  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(-4) + 6\/8. Let w = 4\/833 - -56632\/2499. What is the common denominator of w and 122\/(-18) - q\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 26.042 + -26. Let w = b - 0.242. What is the nearest to 1\/4 in -2\/5, w, -7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 947955 = 5*n + 2*b, 5*b = -3*n + b + 568759. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 7*m + 3022 = 0. Suppose 4*u - m = 1005. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 777 + -778. Let r be ((-1)\/(-38))\/(2\/(-48)). Is l less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16166 is divided by 3157.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*z - 2*l - 320 = -7*l - 250, -9*z - 24 - 31 = l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 89 + -61. Suppose 3*h = -4*g - 11, h - 2*g = 3*g + i. Suppose -2*f - h*f = -885. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-50)\/12*-2*(-306)\/(-170). Suppose -12 = -y*t + 12*t. Suppose -t*m = -5*g - 393, -198 = -2*m + 2*g + 2*g. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - -1.6. Let t = c - -0.4. Put t, 0.3, 3\/8 in descending order.\nAnswer: 3\/8, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 132 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffizfbwaafiw. Give prob of picking 1 w, 1 i, and 1 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 44660 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1056*l + 8 = 1052*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 21, -7, -77, -207, -415, -719?\n\"Answer: -3*r**3 - 3*r**2 + 2*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tmttmttttmt. Give prob of picking 3 t.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -14 - -2a022?\nAnswer: 2a009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 3*j + 8*j - 12 + 6*j - 18*j - 2. Let z(l) = -l. Let d be -1 - (-2 - -1)*8. Let s be z(d). Give v(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1435\/16 + 687\/8. Let d = 7992 - 47845\/6. Calculate the common denominator of d and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 - 10 = -2*g. Suppose -f = -4*f + g. What is the remainder when f is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-60)\/(-90))\/(-2 + 7) - 354\/(-45). Suppose 5*m + 5 = -5*l, -2*l - m = 3*l - 3. What are the prime factors of (l\/2)\/(i\/1760)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18550447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.08 + -0.53. Let t = -9.95 - g. Round t to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6813 + -4545. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 3*r + 20, r + 3*r - 8 = -2*x. Suppose -4 = 3*b + 2, 5*g + 4*b - 97 = r. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12809*y - 88 = -12817*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 66\/((-12)\/4) - 2. Let f = -24 - r. Solve 5*h - 16 + f = -3*v, h - v - 8 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + -5 + 0 - 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3528277*s**2 + 7059163*s**2 - 3530889*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125*h = -122*h - 384. What is the greatest common factor of 32 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.925 - -0.044.\nAnswer: -0.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/3  (b) 3  (c) -1  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -w + 58. Suppose 3*m = 2*i - 125, 2*m + 73 + 102 = 3*i. What is the least common multiple of w and i?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 2:15 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -82 - -151. Suppose 5*u - 420 = -4*q, -271*q = -270*q - 2 + 12. Calculate the highest common factor of v and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the first derivative of r**5 - 10*r**4 + 30*r**3 - 40*r**2 + 25*r + 1857. Determine j so that z(j) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122*i + 1344 = 664*i - 690*i for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 19, -3, -5, -1 in increasing order.\nAnswer: -5, -3, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -410\/4113 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 705 a factor of 69011030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 4*v - 7. Let r(f) = -f**2 + 17*f - 29. Let k(l) = 9*b(l) - 2*r(l). Suppose -3*c - 3 = -21. Is k(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(2\/3)*i*i**6*i*i)\/(i**(-2\/7)*i**0))\/((i\/(i\/i**(-2))*i*i\/((i\/i**4)\/i*i))\/(i**(1\/5)\/(i*i**(1\/7)))) assuming i is positive.\nAnswer: i**(631\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -420, -1755, -4010, -7185, -11280?\nAnswer: -16295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 17639 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 14017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -180805 divided by 5.\nAnswer: -36161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.4 and 6618186?\nAnswer: 6618185.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = z - 3*z. Factor -2*c - 12*c**2 + 10*c**z - c + 3*c**3 + 2*c**4.\nAnswer: 3*c*(c - 1)*(c + 1)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15)\/6)\/((-44)\/28 + 3 - 51642\/36708)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -6*x. Let j be z(1). Let f(u) = u**2 + 4*u - 8. Let m be f(j). Find the second derivative of 2*b - 2*b + 2*b**3 - m*b wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the second derivative of 649*l**4\/12 + 8442*l. Let n(x) = -x**2. Determine p(n(r)).\nAnswer: 649*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-231)\/22*30\/(-7) and 66.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 544930601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11347 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**2 - 35*r - 270. Is p(-16) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-4*sqrt(121)*-3 + sqrt(121)))\/(sqrt(275) - -4*3*sqrt(275)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Do 158285 and 158281 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(1331) - -6*(sqrt(11) + 1) - (((sqrt(99) + -2*sqrt(99) - sqrt(99))*6)\/(sqrt(27)\/(sqrt(3)*2)))**2.\nAnswer: -6332 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 180236.916943 - 180237. Let v = w + 0.083. Round v to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.73, 1\/4, -34\/9, 3\/2, -0.5, -20?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/3087 and -89\/840?\nAnswer: 123480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 - 5*l. Let w be k(5). Let u(q) = q**3 - q**2 + 121. Is u(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.01 - -0.19. Let x = -0.9 + w. What is the nearest to -0.1 in x, 3, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 5 + 384*z - 298*z.\nAnswer: 86*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iik when three letters picked without replacement from phcpppppppkichhh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5624 or 5693?\nAnswer: 5693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 11, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1776\/(-1480))\/(3\/40)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {a: 4, e: 2, n: 1, j: 3, c: 6}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2*(-5 - 2639\/14). Let i = -357 - g. Let q(t) = -2*t**3 + t + 1. Let j be q(-1). Solve -j*p + i = -5*c, 2*p + 2 = -4*c + c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 4 + 7 = -3*r, 0 = -2*r - 4*t + 12. Sort 53, r, 5 in decreasing order.\nAnswer: 53, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**4 + 349134*w**3 - 698264*w**2.\nAnswer: -w**2*(w - 349132)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 6*g + 2. Suppose g*p = p. Solve 0 + p*u + 6\/11*u**3 + 6\/11*u**4 + 2\/11*u**2 + 2\/11*u**5 = 0 for u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.24 + 0.06. Let m = 0.7 + a. Let k = -0.99999896 + m. What is k rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1917274 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*c*h**3*s**3 + 2802*c*h**3 - c*h**2 + 4*c*h*s + 11*h**3*s**3 + 6*h**2*s**2 - 3*s**3 - 31*s wrt h?\nAnswer: 18*c*s**3 + 16812*c + 66*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l*(l*l**(1\/2))\/l)\/l)\/l*l*l**(-11)\/l)\/(((l*l\/l**(-1\/17)*l)\/l)\/l*(l*l**3\/l)\/l) assuming l is positive.\nAnswer: l**(-461\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2435688?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 2361*a**2 - 2196*a**2 - 2.\nAnswer: 165*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 134 = -6*l - 2*j, 2*j + 2 + 0 = 12 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 18, 2, 69, -4, 1 in descending order.\nAnswer: 69, 18, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/11, -2, 30, -16, 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 - -18. Suppose -i - 4*i + 5*o - r = 0, 4*o = -2*i - 16. Is 2 a factor of 3\/((-2)\/(i\/3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1259*f = -1373*f - 684 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 131190 is divided by 8154.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 53*z**3 - 16*z**3 - 2*z - 15*z**2 + 19*z**2 - 5. What are the prime factors of u(2)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -507*i - 611. What are the prime factors of k(-9)?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 12\/(-2*(0 + -1)) - 1. Suppose -3*f - 5 = -17, -4*f = -w*z + 69. Calculate the remainder when z is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y - 4. Let g be z(6). Suppose 0 = -0*r + 3*r. Solve j + j - g*u = 0, 3*u - 12 = r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the first derivative of 16*u - 13\/2*u**2 + 3. Is 24 a factor of a(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-3)*27\/4*2. Suppose 0 = -2*h - 4, d = 2*g - h - 23. Let m be 4 + 2\/(4\/(-2)). Solve m*a + 27 = 3*o, 2*o - 3*a - 8 = g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 102987*f**3 + 1 + 102975*f**3.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 95 a factor of 341715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -16 - -11. Let k = 223\/100 - -13\/25. Let i = k + -9\/4. Put i, c, -2\/7 in increasing order.\nAnswer: c, -2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9890*x**3 - x**2 - 10*x**2 - 4*x**2 + 0*x**2 - 9877*x**3.\nAnswer: 13*x**3 - 15*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 24*z**2 - 5*z - 7. List the prime factors of l(-2).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 23, 9, 0.041, 3, -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-1)*-1*8\/120*-6.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 24*j**3 + 11*j**2 - 18*j + 105. Is z(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 12*c**2 - 118*c - 112. What is the smallest common multiple of h(11) and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**3 - 21*q**2 - 22*q + 15. Let w be b(23). Suppose -a - 2*a - 426 = -3*n, -4*n + w = -3*a. List the prime factors of n.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 435.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 204 is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.8*-142.1\nAnswer: 113.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -c**3*w**2 + 2*c**3 + 657*c**2*w**2 - c**2*w + 8*c*w**2 + 426186*c + w**2 - 2 wrt w.\nAnswer: -2*c**3 + 1314*c**2 + 16*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 95*p - 273 + 79*p**2 + 82*p**2 + 75*p**2 - 237*p**2. Give w(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -31 + 45. Suppose 5*p + 4*u = 38, 5*u + 11 = p - k. Let z be -2 - 7*-1 - p\/5. Solve 2*w - 5*g = -9, z*g = 2*w + 6 + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9638, 10154, 11014, 12218, 13766?\nAnswer: 15658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -26\/2075 and -29\/415?\nAnswer: 2075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 - 21. Let x = 10 + v. Which is the nearest to 2?  (a) -1  (b) 4  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-11) + -3 + 13 + 2 + 979453\/(-78738).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 + 1 + -5)*-2. Let v be (4\/3)\/(m\/12). Let k(w) = 0*w**2 + 5*w**2 - 3*w**v. Let h(p) = 3*p**2. Calculate h(k(z)).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -7 - (2 - 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -180*t + 592*t - 14 + 9 + 4.\nAnswer: 412*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/3, 0.6, 12, 3, -4 in decreasing order.\nAnswer: 12, 3, 0.6, -4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 584834 is divided by 292107?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3, 10, 21, 36, 55, 78?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 130\/13*38\/(-12). Let s(y) = y**3 + 3*y**2 + 3*y - 4. Let z be s(-4). Let x = n - z. Is 0 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*u = 27*u + 12. Calculate the remainder when ((-23)\/(-3))\/(4\/12) is divided by u - 15*(4 - (-56)\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8056 (base 10) to base 14.\nAnswer: 2d16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s + 8. Let h be t(-6). Let -21*v**h - 2 + 2 - 45*v - 12 - 15 - 3*v**3 = 0. What is v?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*n**3*p**2*x - 361*n**3*x + n**2*p**2*x + 2*n**2*p - 3*n*p*x - 2*p**2*x - 34*p**2 wrt n.\nAnswer: -30*p**2*x - 2166*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n - 4*n + 24 = 0. Let s be ((-3)\/(-2))\/(n\/16). Suppose 5*k - 4*g = 270, 3*k + 0*k + s*g = 194. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes before 6:19 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/36 and -89\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45096 is divided by 8107?\nAnswer: 4561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 739858 and 2969666?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 = -4*c - 19. Let m = -11 - c. Solve -4*d = -5*f - 9, 4*d = 3*d - m*f - 19 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 11764, 11761, 11756, 11749, 11740, 11729?\n\"Answer: -s**2 + 11765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 909947.588 to the nearest one hundred.\nAnswer: 909900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 95 divided by -38256\nAnswer: -95\/38256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 490288135 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 240 - 235. Solve -d*p - 33 = -4*t, 4*p - 8*p = 5*t + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -2*o + 1. Suppose 0 = 5*i - p - 10, 2*p + p = -5*i + 30. Let u be t(i). Put 0, 1, u in increasing order.\nAnswer: u, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3684 - -3681. Put 4, 0.4, 1.4, j, -0.1 in decreasing order.\nAnswer: 4, 1.4, 0.4, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49612 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/143 in -0.4, -0.2, -2, 7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2152 - -433434?\nAnswer: 431242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -131 from -1550925285.\nAnswer: -1550925154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.196 and 0.2?\nAnswer: 0.0392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 25779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 111 a factor of 856698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -251 + 450. List the prime factors of n.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -99*44\/(-1452) - (-2 - (-21)\/4). Let b = 2.3 + -2. What is the nearest to -0.3 in 0.2, b, g, -9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 4*h**3 + 4*h**2 - h + 2. Determine q(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (21 - (23 - 2863)) + (-24)\/3?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uggu when four letters picked without replacement from augaaaauauguuuu?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/1)\/2*(-2)\/(-20)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2822, 5907, 8996, 12089?\nAnswer: 15186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -355, -708, -1059, -1408, -1755, -2100, -2443?\n\"Answer: n**2 - 356*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*b - 18119*h + 18160*h + 192, -5*b = -5*h - 90 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -169 divided by 4.\nAnswer: -169\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times 1.433?\nAnswer: -1.433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -13\/21  (b) 3\/5  (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/8)\/((-189)\/108).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9416 is divided by 157.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 96.03002 millilitres to litres.\nAnswer: 0.09603002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:00 PM and 3:17 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -47 greater than or equal to 7\/365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -165807 - -1166766\/7. Let o = s - 874. Let q = 1.2 - 0.2. Which is the nearest to q?  (a) 1  (b) -3  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 2*s**3 - s**2 - 4*s + 3. Let k be b(3). Let u be 8\/k + (-47)\/9. Is 2\/(1 + u)*-130 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7643 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: Let w(z) be the second derivative of -z**5\/20 + 11*z**4\/12 + 43*z**3\/6 + 5*z**2\/2 + 48*z. Is w(14) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21387 is divided by 2372?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -32*43\/22016*56.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 2065*f**2 - 38*f - 122. Is q(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1240954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(1\/4))**5\/((l\/l**(-10\/7))\/l*l*l*l**(7\/4)))**(1\/57) assuming l is positive.\nAnswer: l**(-55\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 29, 27, 13, -19, -75?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 6 + 3*v)*(-4 + 3*v**2 + 4)*(-3*v**2 + 5*v**2 - 4*v**2).\nAnswer: -18*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 24\/6*(-5)\/(-4). Suppose 3*v = -s*q + 38 - 8, 3*v - 4*q - 30 = 0. Solve 4*f + v - 6 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 0 + 13*h + 0*h + 0. Calculate the remainder when y(1) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1334 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -78, -196, -392, -666?\n\"Answer: -39*c**2 - c - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the third derivative of -1\/6*r**4 - 1\/6*r**3 + 0 - r**2 + 0*r. Let n be o(-1). Solve j + 7*u - 12 = 2*u, -n*j + 5*u = 24 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4*(15\/(-100)*-15 + -1). Let m(q) = -q + 6. Let u be m(5). What is the greatest common divisor of w and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 + 19. What is the highest common factor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 75860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 1 + -3 + 17 + -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -1331416.96 to the nearest 1000.\nAnswer: -1331000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9 + -8. Calculate the remainder when (8\/8)\/(a\/54) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1714 - 787. List the prime factors of o.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*8\/(-12)*(-66)\/11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11683, -11694, -11721, -11770, -11847, -11958, -12109?\nAnswer: -12306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i - 1. Let a be u(-1). Put -2, a, 1 in ascending order.\nAnswer: -2, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -4*b. Let f be k(1). Let q = -12 - f. Let c = 1 - q. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = 3*o, -4*o = m - 2 - 7. Suppose -2*c**3 + 3*c**o - 2*c + 2*c - c**4 = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1084 = -24*k + 964 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**2. Let v = -191 + 219. Let h(g) = -37 - 2 + 12*g + v. Determine b(h(c)).\nAnswer: 144*c**2 - 264*c + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 0*y = 3*q + 3, 15 = 5*y + 5*q. Solve y*s = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24, 6, -38, -120, -252, -446, -714, -1068?\nAnswer: -1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 263 >= -8007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.381 + 0.619. Put -3\/7, 0.3, -2\/3, j in increasing order.\nAnswer: -2\/3, -3\/7, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-4))\/(-1*(-3)\/(-36)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 take away -2407173?\nAnswer: 2407169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 1 - -1)*(-72)\/(1800\/(-25))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - 0. Let u(r) be the first derivative of o*r**2 - 2\/3*r**3 + 0*r + 1. Let u(y) = 0. Calculate y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.264645mm in kilometers?\nAnswer: 0.000005264645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -2*n. Let r(h) = -176*h**2 - 1585*h**2 + 412*h**2. Calculate b(r(o)).\nAnswer: 2698*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand r**3 + 4 - 4 + (2*r + 3 - 3)*(3*r**2 - 2*r**2 + r**2) + (2 - 2 - 2*r**2)*(5*r + 18*r + 5*r).\nAnswer: -51*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**3 - z**2 + 4*z - 1. Let d be b(-3). Let m = -12 - -37. Solve i - 6*i = m, -15 = 5*w + d*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -30 + 38 + (26 - 43)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:03 PM and 2:55 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 41 + -47. Calculate the least common multiple of (-84)\/(-22) + c\/(-33) and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59817539 is divided by 6010.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 931 - 916. Calculate the greatest common factor of u and 375.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-6)\/1)\/((-16)\/(-6)). Suppose 63*o + 71 = 386. What is the nearest to h in 3, 1\/3, o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*k**2 - 6*k**2 + k**2 + (-4 + 4 + 4*k)*(0 + 0 - k) - 62*k**2 + 293 - 293 + (-2*k**2 + 2*k**2 + 2*k**2)*(4 - 1 - 1).\nAnswer: -64*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 181701 is divided by 9148.\nAnswer: 7889","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uxu when three letters picked without replacement from xpxpupxu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 7, d: 8, a: 3, f: 2}. What is prob of picking 3 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -717 = -140*t - 383 + 786 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 8 = 4*i + 5*m, -2*i + 1 = -3*m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:34 AM and 8:26 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 - 1)*(5*k**4 - 2*k**4 - 2*k**4) - 2*k**4 - 2*k**4 + 3*k**4 + (-35 + 74 + 61*k - 38)*(0*k**3 + 6*k**3 - 7*k**3 + 11).\nAnswer: -64*k**4 - k**3 + 671*k + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 711102019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/16*(-6)\/(-2)*928\/4176?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9 and 1729134.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 10 + 4\/(-3 + 2). Suppose -2*g = g + l. Let v be (g\/6)\/((-3)\/18). Solve 0 = 5*o + v*d + 12, 3*o + d - 4 = -3*d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 240227752?\nAnswer: 2, 599, 50131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-84)\/(-35) - 3\/(-5). Suppose -h*c + 2 = 5*r - 4, 0 = -4*c + 8. Let g(z) = r*z + z + 4*z + 1 - 4*z**2 + 3*z**2. What is g(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 216 and 6058125.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the first derivative of o**4 + 8*o**3\/3 + 3. Find w, given that b(w) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-25)\/(-5))\/(-25))\/(4\/10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -436 - -194. Let l = -244 - o. What is the smallest value in -3, l, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(4 + sqrt(2299) + -5 + (-5 + sqrt(2299))*6).\nAnswer: -308*sqrt(19) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3928564, -3928659, -3928754, -3928849, -3928944, -3929039?\nAnswer: -3929134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 6*t + 12. Let o(b) = b**3 + 88*b**2 + 76*b - 950. Let a be o(-87). Let j(i) = 4*i + 8. Calculate a*j(z) - 5*g(z).\nAnswer: -2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -26431\/1455 - 10\/291. Let l = f - -18. Let r = -0.0522 + -0.4478. What is the nearest to l in r, -3\/8, 2\/13?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4 - 5)*(-5)\/(50\/140). Suppose 4*j = 4*d - 200, 4*d - 68 = -2*j + 102. Let i = v - d. What is the remainder when i is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10\/4)\/(13\/(-52)*2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 401 a factor of 212931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 22 and 17402?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 1 = -3*w - 8, -4*w + 23 = -5*v. Let z = -3 - w. Put z, -2, 2 in decreasing order.\nAnswer: 2, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 59 - 53. What is the remainder when (-4 + v)\/((-5)\/(-170)) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -1  (b) 0.3  (c) -2\/9  (d) 93.52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5383 (base 12) to base 9.\nAnswer: 13520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22*f - 281 + 22*f - 46*f**2 + 4006 + 51*f**2 to v*f + o*f**2 + n and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 156662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -48 - -47. Suppose -4*f + 4 = -3*b - 5, 3*b = -5*f - 9. Is f at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**3 + f**2. Let z(c) = 4*c**3 + 14*c**2 + 4*c + 5. Let b(t) = 3*u(t) - z(t). Suppose 4*q + 30 = -14. What is the units digit of b(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2)\/6)\/(1 + 0). Let x(q) = -q**3 + 6*q**2 - 8*q + 3. Let d be x(4). Let z be ((-10)\/35)\/(d*1\/(-7)). What is the closest to 0.4 in w, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3*(3 + -2) + 3. Solve m*c + 2*c = -4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -38839, -1, -1004?\nAnswer: -38839","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (18\/21)\/(9 + 1514\/(-168)). Which is bigger: 1\/2 or a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jccf when four letters picked without replacement from fjfjcfcscjf.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.8, -0.029, 5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 182\/(-455)*-5*(-1)\/4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2538113990?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 378801 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 328040000 rounded to the nearest 1000000?\nAnswer: 328000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111100000100 + 100?\nAnswer: -111100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 598 divide 2673768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 9574.4kg?\nAnswer: 9574400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqqdzppzpqp. What is prob of sequence dqqp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eexneexx. What is prob of picking 2 n and 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) - (sqrt(68)\/(sqrt(12)\/sqrt(3)) - sqrt(17)) - sqrt(17) - (sqrt(1700) + sqrt(1700) + -2 + sqrt(1700))**2.\nAnswer: -15304 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 915 and 313935.\nAnswer: 19150035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-6)*(-25 - 203\/(-8)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = 2*b - 13556, -o = 5*b + 10861 - 44727. Which is bigger: b or 6771?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + 3 - 9 = 5*t, 0 = 5*s + 45 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-1740)\/(-8) - 3)*-4. Let z be s\/(-27) + 2\/9. What is the highest common divisor of z and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 1653*h**3 - h**2 + h - 1. Let r be j(1). Suppose -r = -0*b - 2*b. Let g = b + -3229\/4. Calculate the common denominator of g and 7\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the third derivative of 0 + 0*z + 0*z**4 - 1\/30*z**5 + 0*z**3 - 97*z**2. Let r(v) = 6*v + 2*v + 3*v. Give r(q(p)).\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1010101111111000110111 (base 2) to base 10\nAnswer: 2817591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 167 - 179. Let w(j) = j**2 + 12*j + 2. What is w(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 2*g + 803 + 192 = 0, -6 = 2*g. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5 - 1)*(-2)\/(-4). Suppose -f*q = -3*u - 1, -3*u + 4 + 7 = 4*q. List the prime factors of u\/(-3) - 38\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -594 + 393. Let s = -197.66 - h. Let x = s - 3.34000159. Round x to seven dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:55 PM and 6:39 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -43956600 rounded to the nearest one million?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2ae63b (base 16) to base 4.\nAnswer: -22232120323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 3, p: 5, h: 4}. What is prob of sequence hhhp?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12152 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*f**2*p**5 + 1001*f**2*p**4 - 25*f**2*p - 16*f**2 - 14*p**2 wrt p?\nAnswer: -480*f**2*p**2 + 24024*f**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -93 + 93 + 12*l to the form h*l + a and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2813720 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v = 3*m + 21, 7*v + 31 = -m + 56 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1277 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w - 3. Let g(p) = -4*p + 14. Suppose 50 - 8 = -3*a. Determine a*n(m) - 3*g(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/7 or -19?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 15, 0.3, 17, 2\/19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (117\/(-26))\/(-3)*(-1020)\/(-315)*7?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 17 + 1 = 3*d, -5*d = -20. Let z be (j\/(-50))\/((16\/20)\/2). Let t = z + -1\/20. Which is the closest to 7?  (a) t  (b) -0.2  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 274058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -3453.7 to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3\/16 + -5\/144. Let s be 12\/8*(-4)\/10. Which is the second biggest value?  (a) s  (b) n  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(-120) - (-3)\/(-9)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24235140 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*h - 1 + 1)*(2 + 3 - 6) - 5*h + 4*h + 2*h - 3*h + h + h)*(-11*h + 1 - 1).\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(((sqrt(128) + (-3*sqrt(128) + sqrt(128) - sqrt(128)) - sqrt(128)) + sqrt(128))*6)\/(sqrt(324) + 4*sqrt(324)*2).\nAnswer: -64*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 101 and 3131?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9916 and 32785378.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*q + 2436 + 13164 = 29*q. Let l = 23 + -8. Calculate the remainder when q is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (1 - (3 + 20 + -13 + (6 - 3)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b = 2*i - 8, -46*b + 45*b - 2*i = -4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -165*w**2*x**3*z**2 + 4*w**2*x**3 - 2*w**2*x*z + x**3*z wrt z?\nAnswer: -330*w**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 40, -15\/8, 0.04, 2\/157, 3, -213?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(-18) - 32\/(-18). Solve -k*t = t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000128658501 to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1147 and 74?\nAnswer: 2294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8376 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 540 - 528. What is the highest common divisor of v and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 507763 is divided by 241?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 101 = -2*b, -258 = -16*b + 11*b - 3*a. Solve -b = -29*i - 22*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.056 and -1.796204.\nAnswer: -1.852204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 30740071 equal to 276660626\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17\/2 - (-165 - -173).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1fb (base 16) in base 4?\nAnswer: 13323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1.87 * 4\nAnswer: -7.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 12, -165, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 895.07092 rounded to the nearest integer?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1375 + 2842. What is the highest common divisor of q and 815?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 2.766506ml?\nAnswer: 0.002766506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -335 + 342 = 3*q + r, q - 2*r = 14. Let w(i) = -i**3 + 2*i**2 - 3*i. Calculate w(q).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 187\/56340 and -157\/760590.\nAnswer: 1521180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -o + 26781, -5*x + 16986 = -o - 116895. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes before 1:56 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -64929, -64942, -64977, -65046, -65161, -65334, -65577, -65902?\nAnswer: -66321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-7))\/(152\/(-1064)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -120, -445, -962, -1671?\nAnswer: -2572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48.19476 tonnes to grams.\nAnswer: 48194760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 11*r = 21*r + 164, 4*m - 24 = 4*r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8 + 300*b**3 - 4*b - b**5 - 300*b**3 + (0 - 2*b**3 + 0)*(0*b**2 - 3*b**2 + b**2).\nAnswer: 3*b**5 - 4*b - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-1968)\/50184)\/((-2)\/(-6))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 315b94 (base 12) to base 3.\nAnswer: 1110111121211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the first derivative of -2*l**3\/3 + 5*l**2\/2 - 6*l + 2. Let u(v) be the first derivative of n(v). What is the first derivative of u(q) wrt q?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**2 + 6*b - 8. Let w be v(4). Suppose 0 = k - w*k - 2. Suppose -6496754 = -k*d + 19903246. Round d to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**5)**26)**(10\/7))**(-2\/135) assuming r is positive.\nAnswer: r**(-520\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (16\/2 - 2)*(-40)\/(-160)*18\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(1*sqrt(2000) + sqrt(2000)))\/(sqrt(50)\/(sqrt(20)\/sqrt(4)) - (sqrt(110)\/sqrt(176) + sqrt(10)))*5)**2.\nAnswer: 11520000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -230672 + 348771. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 153815, 615245, 1384303, 2460995, 3845327, 5537305, 7536935, 9844223?\n\"Answer: h**3 + 153808*h**2 - h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) 2\/7  (c) -2  (d) 1.36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -58, -53, 62, 341, 838, 1607?\n\"Answer: 9*a**3 + a**2 - 61*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*m - m - 6*m)*(-3 - 1 + 7)*(3 - m - 3) + (-m - m + 0*m)*(-m + 0*m + 3*m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggttcgg. Give prob of sequence tgtc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(147) - (0 + sqrt(147))) + ((4*(0 + sqrt(3)))**2 - sqrt(3)) + 1.\nAnswer: -sqrt(3) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11864291 to the nearest integer?\nAnswer: 3444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 14\/3, -2.2, 3, 2, -3?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(44) + -3 + 5 + (sqrt(55)\/(sqrt(10)\/sqrt(2)))**2.\nAnswer: 2*sqrt(11) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 30 in -1\/4, 6, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 75\/2 of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppppppkpkp. What is prob of picking 3 p?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19065*z**2 + 39115*z**2 - 20046*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.03  (b) -0.36  (c) -0.2  (d) -1.95854\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5229*a*c*g - 1159*a*g**2 - 41597*c*g - g**2 + 27*g - 2 wrt a.\nAnswer: -5229*c*g - 1159*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 1. Let t(a) = 12 + 9*a - 9*a + 0*a - 2*a. Let x(n) = -12*b(n) + t(n). Let y(h) = 32*h**2. What is y(x(m))?\nAnswer: 128*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -269, -396, -523, -650, -777?\nAnswer: -904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 95 = 121. Calculate the common denominator of 202\/(-8)*3*12\/d and 49\/226.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 8 + 11 + -12 - -18?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -194*p + 12968 - 5402 = 0 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-7)*x*x*x**(2\/9)*x*x*x)**(1\/13) assuming x is positive.\nAnswer: x**(-16\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 - 133?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 10*8\/20*2. Suppose -10*r = -l*r - 276. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (677*s + 73*s + 270*s + 93*s)*(6*s - 9*s - 10*s).\nAnswer: -14469*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -352212 by -25158.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 464 - 625*u - 464 + 1254*u - 620*u.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (12\/(-9))\/(4\/(-54)). Let c = -103 + 229. What is the highest common factor of c and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 376697943*s**3 - 7231194*s - 38.\nAnswer: 2260187658*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -17*l**2 + 13*l - 1164. Let b(q) = -7*q**2 + 5*q - 485. Let d(i) = 12*b(i) - 5*v(i). Let o(z) = 2*z**2 - 9*z - 1. Give -9*d(r) + 4*o(r).\nAnswer: -r**2 + 9*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 - 17*s**2 - 37*s - 57. Let z(d) = d**3 + 16*d**2 + 21*d + 57. Let h(i) = -2*l(i) - 3*z(i). What is h(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, r: 2, i: 4}. Give prob of sequence irj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*44\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 495 * 557\nAnswer: 275715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:53 PM and 2:05 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1535 a factor of 51843456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -9, 5, 0.05, 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = v, -17*v + 12*v = -3*g + 356. Calculate the highest common factor of 84 and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of a*n**2 - 1889*a*n*p + 2*a*p - 153292*n**3*p + 5*n*p - 2*p wrt n?\nAnswer: 2*a - 919752*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/20 of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 45420 (base 6) in base 8?\nAnswer: 14424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d, 1 z, and 1 x when four letters picked without replacement from zxxjxdexjydeyd.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -43*(-6)\/(96 + -6) - 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, x: 2, j: 9, g: 2}. What is prob of sequence jpjj?\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -12, -12, -18, -36, -72, -132?\n\"Answer: -w**3 + 3*w**2 - 2*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j - 58. Let z(a) = -17*a - 55. Give 5*h(w) - 6*z(w).\nAnswer: 107*w + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + 3*z + 46, -5*z - 2 = 2*l - l. Let d(x) = x**3 - 9*x**2 + 10*x - 3. Let s be d(l). Let f = s - 8. Solve f*r - 22 = -2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 0 + 63 + -52\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -175 = -3*r + 131. Suppose -r - 38 = -2*q. List the prime factors of q.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-60)\/(-8)*(-2)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -460  (b) -10\/11  (c) -9  (d) -11  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6012174 and 1806?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 234141259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**2 + 4. Let j = 9 + -9. Let x be p(j). Let y be 64\/28 + x\/(-14). Sort y, 4, 0.\nAnswer: 0, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/(-9)*36\/(-8). Solve -3*j - 13 = -s, -s - j - w - 4 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 62, 85, 116, 155, 202, 257?\n\"Answer: 4*s**2 + 11*s + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/19693 or 0?\nAnswer: -2\/19693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/(-29)*35\/(-175).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 28822981 to the power of 1\/2, to the nearest integer?\nAnswer: 5369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccddhddhzcjdu. Give prob of picking 2 d.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 54\/5*f + 3\/5*f**3 + 0 - 33\/5*f**2 = 0?\nAnswer: 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((5334\/127)\/(-42))\/(2\/(-30)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -81*h**2 + 81*h**2 - 11*h**3 - 3*h**3 + 0*h**3 + 4*h**3 + (2*h**2 + 0*h**2 - 5*h**2)*(-2*h - 3*h + 3*h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -23  (b) 12.7  (c) -4.605\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (20\/(-3))\/((-74)\/(-111))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 4675, 9426, 14167, 18892, 23595, 28270, 32911?\n\"Answer: -b**3 + b**2 + 4755*b - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(550)\/sqrt(11) - (sqrt(22)*6)\/sqrt(11))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12526686 is divided by 12526574?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/3080*16 - (-309)\/935)*-2\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7871 = -2801*b - 80697 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:05 AM and 12:45 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -142, -3\/2, -8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 - 284*g**3 + 4 + 3 - 11)*(-49*g - 16*g + 18*g).\nAnswer: 13348*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -14*j**5\/5 + 4*j**4\/5 + 42*j**3\/5 + 16*j**2\/5 - 8*j\/5 = 0.\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*f - 7828 = 13388. Is f a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = i - 66, i + 2*a = -0*i + 46. What is the remainder when i is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-35 - (8 + -13 + 0)) + 7\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 + 33*f**2 + 163*f + 171. Let p be m(-27). Suppose d - 4*d = -96. Calculate the highest common factor of p and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1756 + 4?\nAnswer: -1752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -2*w - 7. Let b(n) = -n - 4. Let t(z) = -7*b(z) + 4*v(z). Let q be t(-1). Let o = q + 0. What is the remainder when o is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 145 - 139. Calculate the remainder when 5 is divided by (14\/b)\/((-147)\/(-126)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -394, -23, 5, 2 in ascending order.\nAnswer: -394, -23, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -18*v + 10*v + 9*v. Let q(u) be the second derivative of 1\/6*u**3 - 2*u + 0 + 0*u**2. Give q(m(r)).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 192091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*b = -11*b - 1056. Calculate the remainder when 189 is divided by b.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-v + 5*v - 2*v)*(1 + 0 - 3) + 5*v - v - 2*v + 5 + 3*v - 5 - 28*v + 60*v - 15*v as s + b*v and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes after 4:05 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2089*k**3 - 2 + 2091*k**3 + 2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 303*c - 302*c - 24 = 0, p + 5*c - 25 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23055 is divided by 122.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes before 3:32 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 3*t - o - 120, 2*o = -2*t + 102. Solve -42*z + t*z - 90 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2\/4 + 7891*h\/4 - 1973.\nAnswer: (h - 1)*(h + 7892)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*m = 50*m + 230. Suppose -5*b = -77 + 17. What is the remainder when m is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1061*x - 3704 - 12523 = 2871 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bkkgkkkbckkkgkgik. What is prob of picking 1 g and 2 k?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**3 - 19*u**2 - 33*u + 4. Let c be l(-17). Calculate the remainder when 58 is divided by (-2 + c)*(-24)\/36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -37 - -37. Suppose -3*x - 5*s = -2*x - 3, z = -3*s. Solve -3*t = 5*v - x*v + 4, 20 = -4*t + v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-5)\/i)\/(i*i*i*(i**6\/i)\/i*i*i*i*i)*(i\/(((i\/(i*i**(2\/5)*i))\/i)\/i))**49 assuming i is positive.\nAnswer: i**(998\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -9*b + 122. Let l(w) = -4*w + 60. Give -13*l(v) + 6*x(v).\nAnswer: -2*v - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6520157 to the nearest integer?\nAnswer: 2553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -888 = -6*f - 804 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhheeexxh. What is prob of sequence hxh?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/8 - (-3)\/28. Let q = 4.9096 + -4.8096. Which is the second biggest value?  (a) l  (b) q  (c) 5  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o + 3. Let u be d(-4). Let q be (17\/7)\/u + 2. Let z be 1 + 18\/22 + -2. Sort z, q, 2 in increasing order.\nAnswer: q, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 128.9  (b) -0.03  (c) 1\/3  (d) 0.1  (e) 3\/95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/t**(-29))*t*t\/(t*t**(-13)*t*t)*t*t*t)**(-16) assuming t is positive.\nAnswer: t**224","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Do -2 and -9377 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -9 - -14 - (1 + -2). Let r(v) = -v**2 + v - 1. Let s(h) = -4*h**2 + 8*h - 11. Determine p*r(i) - s(i).\nAnswer: -2*i**2 - 2*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -24.8 * -23988.\nAnswer: 594902.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 8*v - 6*v - 5*v + 18*v + 4*v - v**4 - 6*v**2 in the form l*v**3 + n*v**4 + p*v**2 + k + i*v and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 - -3. Let r = 7 - 7. Let x = 0 - r. Is s > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/4 + (-21)\/(-12). Let r be 2\/(-3)*(5 - p). What is the units digit of 8*4 - r\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-7 - -8)*(1 - -126)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = 16, 4*v - 18 = 3*b + 22. Suppose -7*k = 154 + v. Let s(o) = -2*o**3 - 45*o**2 + 19*o + 12. What is the hundreds digit of s(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 4 + 16 = -w, 4*u - 12 = -4*w. Let x(n) = n + 8. Let h = 21 - 5. Let r be x(h). Solve l - u*v - 7 = 0, 6*l - l - 4*v - r = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u + 5*u + 12400. Let v be u\/((-2)\/41600*(-2)\/5). What is v rounded to the nearest 1000000?\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + -3. Suppose -3 = -w*b + 7. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the first derivative of 2*x**3\/3 + 7*x**2\/2 - 16*x + 117. Let d be s(3). Is 240\/11 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -211 + 168 - 22*s**2 - 262 - 1615 - 556.\nAnswer: -22*s**2 - 2476","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:56 PM and 11:03 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 13) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/12*(-12 + 21). Which is the nearest to -1\/4?  (a) -0.1  (b) 3\/5  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 53652680 and 340?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 200112 - 110011102121?\nAnswer: -110010202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 358?  (a) -5\/3  (b) 4\/5  (c) -1\/4  (d) 2.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16, -267, -552, -839, -1128, -1419, -1712?\nAnswer: -2007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -343*n = 1277 + 22047 for n.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (0 - ((1 - 4) + 8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1140, 1615, 2406, 3513, 4936, 6675?\n\"Answer: 158*b**2 + b + 981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 144041145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 73 - -1489329646.\nAnswer: 1489329719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 585 - 581. Let l(u) = 67*u**3 - 6*u**2 + u + 5. Is l(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 2*k**2 - 12*k + 5. Let j be m(6). Let x be 36\/30 - 1 - (-379)\/j. What is z in -3*z**2 - 36*z + 58 - 90 - x = 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**2 + 4*w**2 - w**2)*(-2*w**2 + 0*w**2 + 8*w**2 + (2 - 2 - 2*w**2)*(0 + 3 - 5) - 3*w**2 + w**2 + 3*w**2).\nAnswer: 22*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 4*t - 16 = 0, -t - 20 = -2*p + 4*t. Suppose p = -3*c + 4*c - 2. Suppose c*f = 3*f - 3. Calculate the remainder when f is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 38 - 38.5. What is the nearest to 0 in i, 2, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - 23323213?\nAnswer: -23323214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 7.1, -6.51, 0.4, -1\/8, 0.03?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 229*s + 10. Let h be o(-7). Let m = -999 - h. Suppose 357 = b - m. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**2 + 7*g - 2. Calculate z(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/14 and 38\/255829.\nAnswer: 511658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + a - 5*d = -53, 94 = 2*a - 2*d. Suppose -5*f + a = -f. Solve -5*g = -5*z, 4 = -g - 3*z + f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 - -4.4. Let i = 0.4 - h. Let d = 1.00016 - i. Round d to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3543 + 10?\nAnswer: -3533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (35\/(-15))\/(4\/(-12)). Suppose a*w = 11*w + 4. Let z(y) = -3*y**3 - y**2 + 2*y. Let u(x) = -x**3 + x. What is w*z(t) + 2*u(t)?\nAnswer: t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 58713528 divided by -24?\nAnswer: -2446397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*v - 0*v. Suppose -4*c + 140 = 4*q, -5*q + 130 = -v*c - 4*c. Let p = q - 58. Round p to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1553 divide 401046720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 25055, 50104, 75149, 100190, 125227, 150260?\n\"Answer: -2*z**2 + 25055*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*o**2 + 0*o - o**2 + 0*o.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(2*sqrt(1134) + sqrt(1134))\/(sqrt(1400)\/sqrt(8)).\nAnswer: -162*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -374 - -890. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7431.3514 + 7432. Round h to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - 7bda?\nAnswer: -7bdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1980 + 2982. What are the prime factors of v?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*r**2 + 95*r**3 + 1 - 2*r**4 - 2*r - 190*r**3 + 97*r**3 to l + h*r**3 + p*r + t*r**2 + f*r**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14 - 12. Solve -2*k + 3*k = -d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i**4\/2 + 5*i**3\/6 - 23*i**2\/6 + 19*i\/6 - 2\/3 = 0. What is i?\nAnswer: -4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7617876 and 18561?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 60016566?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 2*k**2 + 1373*k - 189831. What is h(118)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-17682)\/(-8))\/(-3) + 3. Let z = p + 751. Find the common denominator of z and -31\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 9426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3018.\nAnswer: 2, 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -3*q**5\/7 + 2085*q**4\/7 - 68271*q**3 + 35838687*q**2\/7 + 75064536*q\/7 - 15775344 = 0.\nAnswer: -3, 1, 212, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:26 AM and 4:03 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3021*y*z + 2271*y + 11659997*z - 3 wrt y.\nAnswer: 3021*z + 2271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**2 - 1. Let b(j) = 6*j**2 + j + 7. What is -b(z) - 6*w(z)?\nAnswer: -12*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 16.707798 to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t**(-1\/15)*t))\/(t\/(t**(-1\/3)\/t)))**(-35)*(t\/(t\/((t*t**1\/t)\/t*t*t*t)*t*t))**(-47)*t**(-1\/6)*t*t\/(((t\/t**4)\/t)\/t) assuming t is positive.\nAnswer: t**(445\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttfimqi. Give prob of picking 1 m, 1 q, and 1 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b**5 - 7615*b**4 - 2910780*b**3 - 8633540*b**2 + 11643200*b + 34656000 = 0. Calculate b.\nAnswer: -760, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*z + 7. Suppose -2*u + z*f = -100, -2*u - u + 145 = -2*f. Let a = u - 32. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*h + 8 + 10 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1  (b) -0.02  (c) 4\/3  (d) 19  (e) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*b = 91*b - 903 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 4*o + 51. Let p(j) = -16*j**2 + 4*j**2 + 10*j**2. Calculate p(g(i)).\nAnswer: -32*i**2 - 816*i - 5202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the first derivative of -v**4\/4 + v**3 - 3*v**2\/2 + 10*v + 8. Let a be u(4). Calculate the remainder when 47 is divided by (24\/(-5))\/(a\/45).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 - -10. Let q(y) = 3*y + 1. Calculate the least common multiple of 4 and q(n).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 * -24100334\nAnswer: 72301002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6 + 3 - 6 - (11 - 0). Which is greater: v or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*a + 17*a - 208 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**3 - 2*y**2 - 2*y - 2. Suppose 15 = 3*g, -g + 4*g = 5*z - 20. What is the remainder when a(-3) is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 122 (base 8) to base 7\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*a - 10. Suppose -3*v = 3*n - 0*n + 693, 0 = v - 4. Let w be 2\/a - n\/35. What is the highest common factor of w and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4\/9, 1\/2, 4, -3\/10, -6\/313?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.55 times 0.98203?\nAnswer: 0.5401165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.4 + 0. Let c = -75.5 + 76. What is the fourth smallest value in -2, i, c, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*k**2 + 0*k**2 - 5*k**2)*(9*k**2 - k**2 - k**2) + 2*k**2 + 9*k**2 - 11*k**2 - 4*k**4 to the form g*k + h*k**4 + p*k**2 + c + i*k**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 4*w + 46, -q = -4*q + 5*w + 72. Suppose 13*c = 191 + 615. Let o = c - q. What is the remainder when 64 is divided by o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/29)\/((-3320)\/144420)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -202 = -2*n + 60. List the prime factors of n.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29979340.\nAnswer: 2, 5, 19, 78893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1782?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 47768821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1\/38, -0.2 in ascending order.\nAnswer: -0.2, 1\/38, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39919 is divided by 1766.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 7 + 5, -i = q - 26. Let w(l) = -l**2 + 6*l - 2. Let h be w(4). Let r = h + 6. Calculate the remainder when q is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2236 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(1008) + 0 + sqrt(1008) + 1 + ((sqrt(343) - 2*sqrt(343)*-2) + -4)**2.\nAnswer: -256*sqrt(7) + 8591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 645181943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 48 - 45. Suppose -2*d - 3 = -9. Suppose 4 = -i + d*i - 5*p, 0 = 2*p. Solve n + i - f = 3*s, -5*n = 2*s + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000005175156 rounded to 7 dps?\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/18 - ((-11)\/(-3) + 0). Let f = v + 7. Put 5, f, -31 in decreasing order.\nAnswer: 5, f, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {j: 2, t: 1, k: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 3251 divide 15445326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 50 and 3025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 7.100566 millilitres?\nAnswer: 0.007100566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2e03c8 (base 16) to base 13\nAnswer: -8177c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -3*q**2\/4 + 2452347*q\/2 + 2452350 = 0.\nAnswer: -2, 1634900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 5240 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -7 - 1401b14?\nAnswer: -1401b1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1100*d**2 + 355*d**2 + 374*d**2 + 366*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5.22 - -5.225. What is the closest to m in 1, -4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**2 + 32*p - 54. What is the units digit of a(22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7483, 14990, 22523, 30082, 37667, 45278, 52915?\nAnswer: 60578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3619.555 centimeters?\nAnswer: 36195550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -106*x**2 - 120*x**2 + 417*x**2 - 2*x**3 - 105*x**2 to the form g*x**2 + o*x + q*x**3 + r and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 3 = 7. Let t be (-2)\/(-5) + 68\/z. Let u be (2*14\/(-4))\/(-1). What is the greatest common divisor of u and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 - 3*i**2 + 5*i - 8. Let b be z(4). Suppose -60*p + 61*p = b. What is the smallest common multiple of p and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -a**3\/4 - 3345*a**2\/2 + 113989*a\/4 - 100605\/2 = 0.\nAnswer: -6707, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (7\/(-105))\/((-35)\/50)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 2*h. Let z be j(6). Suppose 3*l = z + 3. Let y = 30 - 28. What is the smallest value in 3\/5, y, l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in -0.7, -2\/15, -69?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(272) + 1) - (-1*sqrt(272) + -2))**2 + 5 + (sqrt(272) + -1 + -4)**2.\nAnswer: 120*sqrt(17) + 7118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21, 30, 41, 54, 69, 86?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 117709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 85136485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 20245680 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3 - 1332*o**2 - 13354621*o - 13353288.\nAnswer: (o - 4381)*(o + 1)*(o + 3048)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 6) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**3 - 2795*g**2 - 377720*g + 3629520.\nAnswer: -5*(g - 9)*(g + 284)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 128692.\nAnswer: 3\/128692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fff when three letters picked without replacement from fffffffffffef?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the second derivative of 0 + 1\/6*v**4 + 1\/3*v**3 - 1\/10*v**5 - 1\/15*v**6 + 0*v**2 + 10*v. Factor b(j).\nAnswer: -2*j*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9303 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -5*z - 19 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-117)\/72*2 + (-1)\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 342 and 450?\nAnswer: 8550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1795617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2134126*h**5 - 2100179*h**2.\nAnswer: 128047560*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m**3 - 3*m**4 - m**3 + 4*m**3)*(0*m - m - m + (-6 + 3 + 4)*(m + 3*m - 5*m)).\nAnswer: 9*m**5 - 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -3*p**2 - 3*p + p**2 + p**2 - 5 + 2*p**2. List the prime factors of j(-5).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1416*c*f**3 + 33*c*f + 3*c + 2*f**4 + 96*f**3 + 177*f + 1 wrt f?\nAnswer: -8496*c*f + 24*f**2 + 576*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of -c**7\/105 + 4*c**3\/3 - 7*c**2\/2 - 2*c. Let a(m) be the first derivative of v(m). Differentiate a(h) wrt h.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 7) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (d - 2*d + 2*d)*(2792649 - 2792649 + 2768*d) + 19*d**2 + 10*d**2 - 8*d**2 as j + n*d + i*d**2 and give i.\nAnswer: 2789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -15.215 * 0.026.\nAnswer: -0.39559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 6, g: 7}. What is prob of sequence ccc?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 325479929 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2\/5*y**3 - 1\/5*y**4 - 4\/5 + 3\/5*y**2 + 4\/5*y = 0. What is y?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1387?\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q = -5*w - 17, 0 = -3*q - 7*w + 2*w + 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (456 - 240 - 232 - y)*(1 - 8 - 3) as v + g*y and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 376893836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 284.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxi when three letters picked without replacement from {e: 6, i: 4, y: 6, x: 2}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-30)*1*-1*3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cwwwccwwww. What is prob of sequence cc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - m + 28 = 0, 2*z = z - 2*m. Solve 6*b - z = 2*b, -2*b + 14 = 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-4407)\/(-452))\/((-11)\/12 + 1). Calculate the highest common divisor of s and 369.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(252)\/(sqrt(20)\/sqrt(5)))\/((2*sqrt(72))\/sqrt(8))*-2.\nAnswer: -sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-680)\/(-4) - 5) + 9\/(-9) is divided by 85.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3 - 1\/3*z**2 - 2*z.\nAnswer: -(z + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -224 + 226. Let j(i) be the first derivative of 1\/9*i**3 + 0*i - 8 + 1\/12*i**4 - 1\/3*i**z. Solve j(q) = 0 for q.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 0, -419, 1792, 1, 1\/2, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 90344 is divided by 541?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 602647?\nAnswer: 602647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9394903?\nAnswer: 7, 241, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 133865*k*n - 1132*k - 123 wrt n?\nAnswer: 133865*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -500.99442 - -501. Round y to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 4*i**2 + 61*i + 75. Let o be s(-14). Solve -5*g + m + 17 = 0, -m = -o*m + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -z + 11, -3*z + 7 = 2*z - 4*o. Let x(r) = -8*r - 6. Let s be x(-1). Let w(y) = -2*y + 7. Let c be w(s). Solve 6 = -c*h - z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 32 = -2*u. Let z be u\/4 + (-3)\/6. Let y = -4 + 1. Put z, y, -1 in decreasing order.\nAnswer: z, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:01 AM and 2:13 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.319 - -39.919. Let r = 39.8 - l. Let u be (15\/(-70))\/((-2)\/(-7)). Which is the smallest value?  (a) r  (b) -2  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m + 10. Let c be k(-16). Is 16\/(-24) - 8890\/c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 55656.\nAnswer: 2, 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 - 1052.\nAnswer: -1051.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s + 5. Let d be l(-10). Let y be d\/5*(-4)\/(-12). Calculate the highest common divisor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 divided by -260.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52380 is divided by 26090.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12*(-4)\/(-24)*4\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dbbsdmmddsdm. Give prob of sequence dmds.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:11 PM and 5:03 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*o - 4*d = -5*o - 10, 0 = 4*o - d + 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.02  (b) -4  (c) -9  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the third derivative of 0*m**4 + 13\/6*m**3 + 7\/60*m**5 - 18*m**2 + 0 + 0*m. What is the first derivative of w(y) wrt y?\nAnswer: 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-2*(sqrt(17) - (0 + sqrt(17)))*2 - (1 + -5*sqrt(68)))*5.\nAnswer: -5 + 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -0 + 9. Let c(h) = h**2 - 1. Give c(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g**5\/23 - 89814*g**4\/23 - 336722*g**3\/23 - 359142*g**2\/23 - 67334*g\/23 + 44892\/23 = 0. Calculate g.\nAnswer: -11223, -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 - 11*j**2 + j + 2. Let g be i(-11). Let x be (-1)\/(-9) + (-539)\/g. What is the highest common divisor of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 1344*l**3 - 1469*l**3 + 0.\nAnswer: -125*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/5*(-1)\/((-18)\/60). Factor 20*i**2 - 18*i**m + 45 + 10*i**3 + 13*i**4 + 20*i**2 - 90*i.\nAnswer: -5*(i - 3)*(i - 1)**2*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1121621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 224 - 105. Find the first derivative of 194*v + w - 221*v + 160*v wrt v.\nAnswer: 133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-7)\/(28\/(-16)) - 0. Suppose -o + 30 = -0*o + 4*p, 2*p - 92 = -m*o. Calculate the greatest common divisor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1095*t = 4*o - 3233, -8*o - o + 5*o - 66 = 2*t - 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/2)\/k**28*(k\/k**(1\/4))**26)**(2\/47) assuming k is positive.\nAnswer: k**(-18\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*l**2 + 63173913*l - 63173916 = 0. Calculate l.\nAnswer: -21057972, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -6*f**5 - 425*f**4 + 77*f**3 + 425*f**2 - 71*f = 0.\nAnswer: -71, -1, 0, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 260963162 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 344756705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 345550?\nAnswer: 2, 5, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of f**7\/1890 - f**6\/1080 - f**2 - 5. Let x(p) be the second derivative of g(p). Factor x(o).\nAnswer: o**3*(o - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**3 - 8*y**2 + 8*y - 10. Let d be m(7). Let f = d + 17. Suppose -2*o - 7 = -35. Calculate the lowest common multiple of f and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -305445 + 211745. Round h to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**3 + 16*q**2 - 15*q + 39. Let b be -2*12\/42 - (-230)\/(-14). Let h be n(b). Let r(o) = 3*o**2 + 4*o + 2. Let p be r(-2). Solve f - h = p*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78 = 12*b - 6 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * -0.1176.\nAnswer: -0.0588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -64*k**2 + 62*k**2 + 269*k**2 + k**3 to x*k + w + f*k**2 + g*k**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 32 - -227. Suppose -4*s + w = 5*h, 6*h - 4*h = -5*s + 107. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2, -4, -8, -14, -22?\n\"Answer: -f**2 + f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1994 - 1832.6. Let i = g - 162. What is the third smallest value in 0.5, 0.4, i, 3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.1 - -1.2. What is the nearest to v in 1, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 20  (b) 1\/3  (c) -0.11  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 22*y - 255. Let u be f(12). Calculate the greatest common divisor of 39 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 110 + 1002?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 621153.7 millilitres to litres.\nAnswer: 621.1537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (27\/6 - 2)*(-3 - -5). Let a be 38 - (3 + -5 - f). Solve 3*z - 3*j - 35 = j, 5*j = 4*z - a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 3*l - l. Let v be l\/((-14)\/4) - -3. Let f(g) = -g**2 - g. Let z(k) = 4*k - k**3 + 5*k + 8*k**2 - 4*k. Give v*z(c) + 5*f(c).\nAnswer: -c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 11 in 0.4, 3\/5, -10, 1\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -891 divided by -5364?\nAnswer: 99\/596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**2 - 8*p + 24. Give x(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in -25, -5, -4, -797, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 221\/(-39) + 4\/6. Let h(s) = -166*s**2 + 7*s + 5. Let o be h(b). Round o to the nearest 100.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*p**3 - 533*p - 5*p**3 + 2*p**3 - 9*p**3 + 533*p.\nAnswer: -15*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2, -1\/3, -14.62 in decreasing order.\nAnswer: -1\/3, -2, -4, -14.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 7153.686 centimeters?\nAnswer: 71536.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-8) + 483\/12. Let u be 30\/(-8) + 30\/f. Suppose 0*s + 20 = -4*s. Which is bigger: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + w = -3927, -17*d = -14*d - 2*w - 2949. List the prime factors of d.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96881724 divided by -2?\nAnswer: -48440862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.2 + 0. Let s = u - -4.2. Let p = -0.2 - 0.1. What is the third biggest value in 1\/4, p, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 5, 3, 0.09, 2?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*j + 5. Suppose 5*c - 4*l + j = 0, 2*c - 3*l + 1 = -3. Let i(p) = -p**2 + 0 + 0 + 0 + c + 2*p. Determine i(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.2  (b) -0.17  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.2 - -0.28. Let d = -29.98 + 30. Let h = d + s. What is the biggest value in -3\/8, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 7*v. Let y(i) be the first derivative of 4*i**3\/3 + 9*i**2 + 1826. Determine g(y(l)).\nAnswer: 28*l**2 + 126*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 + 2 + 4*9. Suppose -m = 2*l - 2*m + 1, 5*l = -m + 1. Suppose 4*d - 2*d - 26 = l. Calculate the greatest common divisor of n and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4322?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 78397066?\nAnswer: 2, 11, 3563503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/1487472 and -19\/1008?\nAnswer: 4462416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (5 - 1) - (-690 - -693)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 140750 is divided by 304.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 666228 - 366228. What is l rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 121747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/5  (b) 1  (c) -4110\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 110*n**3 - 184*n**3 + 115*n**3 + 8*n - 8*n.\nAnswer: 41*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -484*f - 6*f**3 + 484*f + 0*f + 0*f - f**3 + (-f**2 + 2*f**2 + f**2)*(0*f - 3*f + 5*f) + 3*f**3 - 5*f**3 + 3*f**3 + 5*f**3 + 25 - 25.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 12536 + 2b0?\nAnswer: 12806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -76099 - -304397\/4. Let z = -9 + 9. What is the closest to -0.1 in a, z, 3, 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5305712 (base 8) to base 4.\nAnswer: -11120233022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 356785763*v**4 + 252325075*v**2 wrt v.\nAnswer: 8562858312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.5, -2\/11, 0.3, -0.2, 22?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -230 - -230.2. Which is the closest to 20?  (a) t  (b) -3  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 + 5)*-4 - 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**3 + 6*r**2 - 6*r - 3. What is p(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s*s**(1\/3)*s*s**6)\/((s*s**(-10))\/s**(-10)) assuming s is positive.\nAnswer: s**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 20, 0.5, 2\/3 in decreasing order.\nAnswer: 20, 7, 2\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/24 of a week?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1095*r + 1095*r - 29*r**2 + (-r + 3*r + 0*r)*(0*r - 3*r + 2*r) - 3*r**2 + 4*r**2 + 7*r**2.\nAnswer: -23*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1502, -3, 3, -18033 in increasing order.\nAnswer: -18033, -3, 3, 1502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 + 16)*(-1)\/(-4). Solve 3*m + 2 = -p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -17 + 16. Let f = 2 - k. Solve 2*j - f*j + 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 340.8482 meters in micrometers?\nAnswer: 340848200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 149.9406741 seconds?\nAnswer: 0.00024791778125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(3 + -2 + -4 + (-5*(sqrt(208) + sqrt(13)) + sqrt(13) - sqrt(26)\/(sqrt(2)*2)) + -2))**2.\nAnswer: 2205*sqrt(13) + 281817\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 565192, 1130333, 1695472, 2260609, 2825744, 3390877, 3956008?\n\"Answer: -r**2 + 565144*r + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 + 4. Let j(n) be the first derivative of n**5\/24 + n**4\/8 + 2*n**3\/3 + 10. Let z(o) be the third derivative of j(o). Give z(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-315))\/(((-29088)\/1320 + 22)*-22).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -248*d. Let x(j) = -3*j**2. What is x(c(m))?\nAnswer: -184512*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/15 - 24\/(-10). Suppose i*j + 1 = 5*g + 8, -27 = -4*j - 3*g. Suppose 3*o + 31 = 5*r + j*o, 23 = 3*r + 4*o. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.36 - 2.64. Let y = -726.6 - -727. Sort 5, 4, j, y in ascending order.\nAnswer: j, y, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -6*l + 5*p + 60, 24 = 4*l + 2*p. Suppose -3*y + l = y. Let w(x) = x**2 + x - 1. What is the units digit of w(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 4*i + 5*i - 4*i. Let h(x) = x + 108 + 178 - 3*x - 286. Determine s(h(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1208598 by 10.\nAnswer: 604299\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-8 - -1 - -3) - 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4605.09615 rounded to one dp?\nAnswer: -4605.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-34)\/425 - 72\/350. Put -0.1, 3, -0.4, l in decreasing order.\nAnswer: 3, -0.1, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 121 and 231?\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-12)\/(-1)*(-28)\/(-8). Let i = k - 15. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s - 9. Suppose a - 25 = -3*b, -4*b + 5*a = 4 - 31. Let z be m(b). Are z and 1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7*((-25)\/(-5))\/5*1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1397*i**4 - 10*i**3 + 2*i**2 - 160*i - 2 wrt i?\nAnswer: -33528*i - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4573.5031 minus 6710?\nAnswer: -11283.5031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 0*f - 2 + 2970*f**3 + 1 - 3 + 5*f**2 - f. Let p be g(-4). What is p rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 4 = 5*l, 0 = -2*l - 0*l - 8. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*t + t - 16 + 15*t - 28*t to the form g + b*t and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - 3*w - 13 = 0, 4*y - 17 = -2*w + 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -528*r**5 - r**3 + r**2 - 40*r - 1?\nAnswer: -31680*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 38340771793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-14)\/(6 - 125\/20). Suppose n*s = 43*s + 31798. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*v + 26 - 171 + 348 + 310 in the form y*v + o and give o.\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 30 + 1033321130?\nAnswer: 1033321210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3653773?\nAnswer: 521, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6\/10 + 84\/60 + 3. Let j be 2\/(-3) + 38\/(-6). Is (-50)\/d*j\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 14*q**2 + 6 - 4*q**3 - 19 + 5 - 4*q**2 + 6 as f + v*q + w*q**2 + m*q**3 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.9 + -2.89896. Round x to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from {n: 6, k: 13}.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13522.5 + -13523. Let z be 4\/(-32)*(-2 - -1). Let y = 7 - 7.3. Which is the second smallest value?  (a) o  (b) -10\/9  (c) z  (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**2 - 22*n. Let p be m(-22). What is the units digit of (p - -36) + 6\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 3*x - 476 = 0, x - 521 = -527. Sort -0.4, s, 11 in decreasing order.\nAnswer: 11, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/b**(-3)*b**3*(b**1\/b*b)\/(b\/((b\/(b\/((b**(-5)*b)\/b)))\/b))*(b*b*b\/b**(-1\/3))**(-34)*(b**(-1\/3)\/b)**(-9\/2) assuming b is positive.\nAnswer: b**(-319\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 - 4*h**2 + 2*h + 6. Let g be y(-4). Sort 2, g, 4.\nAnswer: g, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7, -20, -41, -70, -107?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes after 11:37 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 18 + 6 = 0. Suppose 300 = 17*h - w*h. Suppose 0 = -z - 3*z + h. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 90 = b - 11*b, -5*b - 45 = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 20 = -0*q. Suppose l = 3*m - 94, 0*m - 3*m - q*l = -124. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 190 + 19. Let q = -203 + u. Which is the smallest value?  (a) q  (b) -2\/5  (c) 1  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 4*i + 119. Let m be z(-29). Let r = 13 + -12. Differentiate -m*u - 2 + 6 + r wrt u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 9, f: 3}. Give prob of sequence ffo.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, -1.988, -0.3, 2?\nAnswer: -1.988","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2 - 6*n + 10. Let v be x(-7). Let y(c) = 2 - 3*c**2 + 0 + 2*c + 6*c**2 - v*c. Let d be y(-2). Solve -3*p + d = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -2*i**2 + 6 - 6. Let j(o) be the first derivative of o**4\/6 - 2*o - 3. Let w(n) be the first derivative of j(n). Determine w(m(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -36, -40, -44, -48, -52, -56?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -955*b**3 - b**2 + 921?\nAnswer: -5730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3077 - 2622. Is 65 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 151 + -25bb1?\nAnswer: -25a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 9*a**2 + 5*a - 9. Let y(l) = 6*l**2 + 7*l**2 - l**2 - 9 + 6*l - 4*l**2. Let r(n) = -4*p(n) + 5*y(n). List the prime factors of r(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (9\/6)\/((-6)\/(-32)). Suppose 43*q - 42*q = -4*g, 5*q - 3*g = 46. Calculate the highest common divisor of q and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -38.72752709 to 2 decimal places.\nAnswer: -38.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -460.1523 times 0.7\nAnswer: -322.10661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3  (b) -4\/7  (c) -4  (d) -10  (e) 272\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, h: 1, c: 3, v: 4, n: 1}. What is prob of sequence nvvh?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*v - 38*v + 56 + 0 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 3*i**3 - 25*i**2 - 238*i - 366. What is r(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 + -8. Is q smaller than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1438104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 230.1887874 + -0.1934674. Let g = i - 230. What is g rounded to four decimal places?\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1618 + -27508\/17. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4b41a (base 12) in base 13?\nAnswer: -378a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -5*n + 1. Let a(t) = 2*t + 5 + 0 + n. What is the least common multiple of a(5) and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21 + -16. Suppose 3*a = -w + 11, 2 = -w - o*a + 17. Let f be 1\/2*(4 - 4). Sort 8, f, 3, w in increasing order.\nAnswer: f, 3, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mfcmmzmfzmmf. What is prob of sequence mczm?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -15*b + 55. Let h be a(4). Sort -4, 3, h.\nAnswer: h, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (352\/(-352))\/(((-4)\/10)\/((-12)\/10))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3\/55 - -6\/11. Put 5, -3\/4, r, -1\/3 in ascending order.\nAnswer: -3\/4, -1\/3, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 14901402*m**2 - 14901396*m**2 + 29802756*m**2.\nAnswer: -42*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-9)\/(-18)*(-1)\/(-3). Which is the closest to 0?  (a) 2\/5  (b) o  (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 1 - 5 = 0. Let q be 2\/6*(-3)\/2. Which is the closest to -1?  (a) -2\/7  (b) q  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 2, 35, 3, -38.7, -2, 0.2?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-4\/3)\/a)**(-7\/4) assuming a is positive.\nAnswer: a**(49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 36*c**2 - 54*c - 369. What is the thousands digit of m(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.1831763 hours to days.\nAnswer: 0.0492990125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3, 16, 35, 60, 91?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.05 + 0.15. Let v = l - 6.1. Let p = 6.18 + v. What is p rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-1\/4))**(-27)\/(s**5*s\/s**(1\/2)*s*s*s*s)*((s\/((s*s\/(s*s**(-1\/15))*s*s)\/s))\/((s*s*s**0*s)\/s*s))**(-42) assuming s is positive.\nAnswer: s**(3361\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 32191 + -17370. Suppose 14*j + 569 = f. What is j rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14454314 (base 6) in base 8?\nAnswer: 1732446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -113 - -1289. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 2  (b) 1\/9  (c) -3  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand i**2 - i**2 + 2*i**2 + 5*i - i**2 - 5*i + (i + i - 4*i)*(1 + 2*i - 1) + 0 - i**2 + 0 + 2 - i**2 - 2 + (0*i + i + i)*(-2 + 2 + 6)*(3*i - i + 0*i).\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - -8 - 4 - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -4) + (-35)\/7 + 3 + -14.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 73 + -70. Suppose -3*w + n*b = -15, -6*b = -5*b + 1. Solve -w*u + 39 = 5*d + 15, 5*u = 5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/((-165)\/(-44)*-4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 451467 - 4974766\/11. Let w = t + 791. Which is greater: 8 or w?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 80245?\nAnswer: 5, 11, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**3\/4 + 20*p**2 - 512*p + 4096.\nAnswer: -(p - 32)**2*(p - 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -28*l + 47. Let z be s(-19). Let o = -574 + z. Solve 0 = -9*b + o*b + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 1  (b) 2\/7  (c) 0  (d) -2\/21  (e) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 53 + -18. Let v be 10\/35 + 4\/j. Let w = 3 + -2.9. Which is the nearest to v?  (a) 3\/2  (b) w  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -20*j + 3. Let p(n) = 7*n - 1. Let o(s) = -28*s + 4. Let m(z) = 2*o(z) + 9*p(z). Determine -4*d(c) - 11*m(c).\nAnswer: 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:34 AM and 5:24 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 216  (b) -0.2  (c) 34\/9  (d) 5  (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -a*u - a - 322*u + 1003 wrt u.\nAnswer: -a - 322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1752624?\nAnswer: 2, 3, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -338, 4, -13.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**3 - 31*p**2 - 57*p - 83. What is the tens digit of c(34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/(-25))\/(13\/65). Factor x*w**4 - 6\/5*w**2 + 8\/5 - 4\/5*w**3 + 8\/5*w.\nAnswer: 2*(w - 2)**2*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the second derivative of 5*i**7\/49 - 104*i**6\/105 + 11*i**5\/70 + 191*i**4\/21 + 108*i**3\/7 + 72*i**2\/7 - 2646*i. Let f(j) = 0. What is j?\nAnswer: -1, -2\/3, -2\/5, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -491*a - 495*a = -994*a + 8. Are -7\/57 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3837, 3947, 4279, 4941, 6041, 7687, 9987?\nAnswer: 13049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 2*j + 78. Let n(s) = 19*s**2 + 2*s - 7. Give v(n(p)).\nAnswer: 38*p**2 + 4*p + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 2*g + 5)*(-2*g - g + g)*(3*g**3 - g**3 + g**3).\nAnswer: 12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 3, w: 1, d: 2, l: 2, n: 1, r: 3}. What is prob of sequence nbld?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2383 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 5, 3\/8, -0.4, 4.67, -1 in decreasing order.\nAnswer: 5, 4.67, 3\/8, 0.2, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/855 and 61\/6279813.\nAnswer: 596582235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 8768443?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 12\/25 of a gram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 7*v - 570. What is r(-10)?\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of -h**3\/3 + h**2\/2 - 42. Determine u so that v(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*f**3*j**3 + 10*f**3*j**2 + f**3 + f*j**4 + 3*f*j**2 wrt j?\nAnswer: 18*f**3 + 24*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17, -13, -97, -241, -451, -733?\nAnswer: -1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3829 - 525. Let g = -1928 + w. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4.3 + 10.6. Let y = 140 + -133.9. Let m = l - y. What is the closest to 0 in m, 4, -38?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11001000110000111010 (base 2) in base 4?\nAnswer: 3020300322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-4\/15)\/(c*c**(-16)))\/(c\/(c**(10\/7)\/c)*(c\/(c**30\/c)*c)\/c*c))**(-2\/11) assuming c is positive.\nAnswer: c**(-8644\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -2011*j**2 - 10*j - 4. Let z(t) = 1004*t**2 + 4*t + 2. Determine 2*b(u) + 5*z(u).\nAnswer: 998*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 474 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -125 + 74. Let k = 88 + x. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 78630\/(-28831)*(-22)\/230.\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42848.\nAnswer: 2, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 29 - 41. Let d = h - -7. Which is the nearest to 0?  (a) -3  (b) -0.5  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6933673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 100002120221 (base 3) to base 12\nAnswer: 87737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 76*l - 1000*l - 651*l + 98*l + 291*l - 739*l.\nAnswer: -1925*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 20729*f**2*p**2 - 14109*f**2 + 2*f*p wrt p.\nAnswer: 41458*f**2*p + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 - -140?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n**2 + 4*n**2 - 5*n**2)*(2*n**2 + 3*n**2 - 3*n**2)*(294 - 294 - 728*n)*(-6 + 2 + 5).\nAnswer: 4368*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 2634037 (base 9) to base 8\nAnswer: 5374101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -237, 666, -1, 8 in descending order.\nAnswer: 666, 8, -1, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 14*w**2 + 3*w - 14. Let s(z) = -5*z**2 - z + 5. Let p(b) = 4*i(b) + 11*s(b). Give p(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -0*y. Solve y = -0*j + 5*j - 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the first derivative of h**2 - 13*h + 3. Let p = 101 - 91. Determine d(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -20*n**3 - n**2 + n - 5. Let t be b(-5). Let i = 54131599\/21896 + -928\/2737. Let a = i - t. Find the common denominator of 19\/2 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 195552, 195574, 195594, 195612?\n\"Answer: -u**2 + 25*u + 195528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -258258, 1, -738 in decreasing order.\nAnswer: 1, -738, -258258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -643*z**2 + 2*z - 18350 wrt z?\nAnswer: -1286*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 3*i = -0*x - 3258, -4*x + 2*i = -4338. Let d = 9719\/9 - x. Find the common denominator of d and -49\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z**3 + 0*z**3 - 5*z**3)*(-6 + 2 + 2)*(1 + 6 + 7239*z - 7334*z).\nAnswer: -760*z**4 + 56*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**3 + k**2 - k - 4. Let r(d) = 1417*d**4 - 3*d**3 + 1920*d**2 + 3*d + 14. Let j(a) = r(a) + 3*v(a). Find the third derivative of j(z) wrt z.\nAnswer: 34008*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 488431?\nAnswer: 293, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 100.024 + -0.024. Let d = v - 99.9999927. Round d to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -27 + 22. Let b be c\/45*3 + (-2)\/(-6). Suppose b*g - 4*m + 23 = 3*g, 4*g - 3*m - 39 = 0. Solve 1 = 2*l + g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1359*z**4 + 144*z - 144*z**2 - 1361*z**4 + 44*z**3 + 2716*z**4.\nAnswer: -4*z*(z - 6)*(z - 3)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 6*o**3 + 192*o**2 + 2*o + 40. Determine a(-32).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are -359211 and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5454 - -425?\nAnswer: -5025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 133 + -33. Let d(j) = -j**3 - j**2 + j + 34. What is the remainder when g is divided by d(0)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 359455\/628 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 4*a**2 + 2*a - 2. Let y be m(-2). Let g be 1*(3 + -4 + 3). Suppose q - y = -q - 4*s, 5*q = -g*s + 25. Let b(k) = k**2 - 5*k - 7. Give b(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 371553076.\nAnswer: 2, 92888269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2437140265?\nAnswer: 5, 7, 109, 137, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1750 and 568050.\nAnswer: 2840250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -16 + 140. Let x be 9\/(-12)*(-44104)\/111. Suppose -2*o + x = -k. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, 5.\nAnswer: -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -48353 less than -48355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -20395*q - 305942. Give c(-15).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7.5 - 5. Let c = -2 + o. Let k = c + 3.5. Put -0.4, 1\/3, k in decreasing order.\nAnswer: k, 1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-5)\/(-45)*21*-3)\/(-1). Solve -y*w = -5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 74854.\nAnswer: 2, 13, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7 and 1.1.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11389.339 - 11874.58. Let i = 485 + y. Round i to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -3*h**3 - 4*h**2 - 2*h - 1. Calculate the remainder when z(-3) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12*672845\nAnswer: 8074140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -2*y**2 + 3*y - 4. Calculate m(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 188007 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 11 + 37. Let p be (-2)\/(-11) + 20\/11. Factor 5*c**p + c**2 - y*c**2 - 3*c - 3*c**3.\nAnswer: -3*c*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -435 and 9.\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 divided by 40548?\nAnswer: -7\/13516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*n**2 - 2*n**2 + 2*n**2)*(46 + 64 - 76 + 7*n) in the form b*n**3 + u + f*n**2 + p*n and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 2*s = -6*s - 4, 2*s = -2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1845*p**3 + 2*p**2 + 1300*p wrt p.\nAnswer: -11070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.26 - 4.5394504873\nAnswer: -4.2794504873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + 9)*(-17 + (-38)\/(-8 - -6))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*j + 69*j - 93 - 61 = 0 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 951 - -47. What is the common denominator of c\/308 + 12\/(-42) and 39\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 59293584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*d**3 - 6*d**3 + d**3)*(-44 - 47 - 36*d + 89) to the form w*d**4 + u*d + c*d**2 + m + n*d**3 and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*a - 45 = -0*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -51, -101, -151, -201?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 211259504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**20*r*r**(2\/9))**11)**(-41) assuming r is positive.\nAnswer: r**(-86141\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -219 + 111 + 2*w**2 + 17*w + 113 + (-16*w - 6*w - 28 + 24*w)*(0 + 0 - 3*w) to the form j*w + k + y*w**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/2 and 53\/699846081.\nAnswer: 1399692162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(2 + sqrt(468) + (sqrt(13) + 2)*5).\nAnswer: 60 + 55*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s**5\/4 + s**4 + 29*s**3\/2 - 31*s**2 + 63*s\/4 = 0.\nAnswer: -7, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 x when three letters picked without replacement from {x: 1, s: 7, m: 8, u: 2}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 7 = 4*d, -11 = 2*u - d + 2. List the prime factors of (297\/12)\/(u\/(-24)).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 122078*m*t + 70777*m wrt t.\nAnswer: 122078*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 7041000 to the nearest 100000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -3*p**4\/7 - 48*p**3 - 3438*p**2\/7 - 10680*p\/7 - 7575\/7 = 0.\nAnswer: -101, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*t + 5*k = 67, -2*t - k = t - 7*t - 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -744926 * -0.21.\nAnswer: 156434.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**2 - k - 6. Let i be r(-3). Let m = -11 + i. Let z(g) be the first derivative of -3*g**2\/2 - 7*g + 2. Determine z(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-7))\/((-408)\/168)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(9) - (sqrt(9) + sqrt(54)\/(sqrt(24)\/sqrt(4)))) + sqrt(36)\/(1*sqrt(4) + sqrt(4) + sqrt(4)))\/((sqrt(270)\/sqrt(225))\/(2*sqrt(20)\/sqrt(2))).\nAnswer: -20*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (108\/(-16))\/((2 + 0)\/16). Let v = i - -64. What is the smallest common multiple of 76 and v?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((8\/(-26))\/2)\/(71\/((-47073)\/6)*34).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - 0. Suppose 0*y - 14 = -5*g - k*y, 0 = -5*g - 5*y + 20. Suppose 5*n = o + 1, 0 = -4*n + 3*n + 1. Solve j - 2*i - 13 = -0*i, -g = 3*j + o*i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, e: 1, n: 2, v: 1}. Give prob of sequence nn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*d**2*m**2*t + 232*d**2*m - d*m**3 - 3*m**3*t wrt t?\nAnswer: -3*d**2*m**2 - 3*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8 - 1b?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, r: 1, l: 2, i: 1, q: 1, c: 1}. Give prob of picking 1 r and 1 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = j + j. Let v be -2 + (-3 - -42)\/3. Suppose v*q = 16*q - 300. Calculate the remainder when q is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (2\/4)\/(2\/53488*4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*i = 47*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4503 plus -140?\nAnswer: -4643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 470855.322 minutes to weeks.\nAnswer: 46.7118375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(0 + 1\/(-7121)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*t + 8 = 38*t. Suppose 5 + t = 3*w + l, 25 = 5*w + 5*l. Sort 4, -3, w, 2.\nAnswer: -3, w, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 12 + (48\/(-6))\/2. Suppose -f - 4*h + 12 = 0, 60 = x*f - 3*f - 4*h. Suppose -54 = -5*l + 2*l. Calculate the highest common divisor of f and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1324 - -8248?\nAnswer: 6a24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = g - 12, 5*m + 41 + 4 = 5*g. Solve 4*l = g - 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 + 14*h + 37. Let j be x(-11). What is the second derivative of -100*b**j + 13 - 2 - 5 - 3*b + 2*b wrt b?\nAnswer: -1200*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -50.068305 - 36697.771625. Let c = 36748 + f. Let v = c + -0.16. What is v rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*n**2 - 15*n + 15*n)*(158 + 106 + 123).\nAnswer: -3096*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -83 divided by -2\nAnswer: 83\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 16294 rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.03 + 2.97. Let l = 3.4 - h. Let x = -0.2 + 0. What is the second biggest value in -2, l, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 4, 59, 152, 283?\n\"Answer: 19*j**2 - 2*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:33 PM and 12:09 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 39\/16 + -31\/16. What is the third smallest value in -4, 0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*g - 3*g + g)*(-6 + 2*g + 6) - 2 - 65224*g - 3*g**2 + g**2 + 65107*g.\nAnswer: 2*g**2 - 117*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*x - 26*x + 6*i + 2 = 0, 0 = -3*x + 4*i + 23 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3) + sqrt(135)\/sqrt(5) + (sqrt(3) + sqrt(3) + sqrt(3) + sqrt(3)*-3)*-1)*5)**2 - (5 + (3*(1 + sqrt(48)) - (sqrt(1200)*-2)**2)).\nAnswer: -12*sqrt(3) + 5992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 + q**2 + 18*q - 2. List the prime factors of y(-9).\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes before 5:54 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the third derivative of 2*m**7\/35 + m**5\/60 + 41*m**4\/24 - 2321*m**3\/3 - 3*m**2 + 85*m - 4. Differentiate x(y) wrt y.\nAnswer: 48*y**3 + 2*y + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -96 + 101. Suppose m = -x*y - 390 + 89, -y = 2*m + 62. Are y and -59 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 174238518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from lyqqsysqbbbbyssqst.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -20.9 + 19.4. Which is the smallest value?  (a) 2\/11  (b) g  (c) -0.2  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f + 5 = 4*c, 2 + 5 = 5*f + c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zddzdzz. Give prob of sequence zz.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -79591 smaller than -79557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.029248 to 3 dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -5*g - 5*w, 2*g - 9 = 3*w + 11. Suppose g = 2*t + 3. Suppose 6 = t*f - 4. What is the lowest common multiple of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = v + 72580, -3*l - 299*v + 295*v = -54416. Does 112 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1339596.0051 + 1339697. Let z = g - 101. Round z to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*m**2 + 9318 - 9318 - 31*m**3 in the form z + k*m**2 + q*m + r*m**3 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 138 = -5*m, 0*s - 16 = 4*s. Let a = m + 36. Suppose -5*b + 3*o + a = 0, 2*b + 2*b - 2*o - 8 = 0. Solve u = -0*u - b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 226140 and 34740?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 394 - 380. Is a\/147 - (-429270)\/126 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*h**3 + 24*h**3 + 113*h**3.\nAnswer: 151*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4807 and 7429.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 2*a - 3. Let t be j(4). Let i = 60 - 62. Let c be 1*12\/(i + 5) - -2. Solve c - 1 = t*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -110 or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 - 10 = z. Suppose 0 = -i - i + s + 43, 5*s - z = -2*i. Calculate the remainder when 59 is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x + 12. Let v be m(5). Suppose -3 = -4*q + v. Calculate the lowest common multiple of 3 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 50238005 divided by -1732345?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 627.6*-0.023692\nAnswer: -14.8690992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 50 and 259914350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/5  (b) 1100765  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of u**4\/4 - 4*u**3\/3 - 3*u**2\/2 + 9*u - 7. Suppose -2*n - 12 = -4*n. Is 21 a factor of h(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/5*(-33)\/(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 85462140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 21*l**3 + l**2. Let f be o(1). Suppose -4*m = -3*q + 30, 5*q = m + 28 + f. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10098 and 422270310.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 386043 is divided by 2591.\nAnswer: 2575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -24596, -48594, -72040, -94928, -117252, -139006?\n\"Answer: k**3 + 270*k**2 - 24815*k - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 6, c: 2, g: 11}. What is prob of sequence scsg?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -9 times 66517\nAnswer: -598653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24428283, -24428276, -24428265, -24428250, -24428231, -24428208?\nAnswer: -24428181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w**2 - w + w)*(-3*w**2 + 5*w**2 + 0*w**2) - 1 + 1 + w**4 + 26*w**2 - 26*w**2 - 32*w**4.\nAnswer: -27*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -14*u**5 + 876*u**4 - 6306*u**3 - 241124*u**2 - 668952*u + 2339280 = 0.\nAnswer: -9, -45\/7, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 12412657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -6*r**4 + 14950*r**3\/7 + 744*r**2\/7 - 11400*r\/7 + 2848\/7 = 0. Calculate r.\nAnswer: -1, 2\/7, 2\/3, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 98544, 98542, 98540, 98538?\nAnswer: 98536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 35.4 + -26. Let x = 4.4 - w. Which is the third smallest value?  (a) x  (b) 1\/6  (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2662 = -26*s + 3266. What is the hundreds digit of (6\/4 - -1)*s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -c**5*m + 103*c**5 - 6*c**3*m - 5659*c**2*m - 9*m wrt c?\nAnswer: -60*c**2*m + 6180*c**2 - 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.047077 - -215.037923. What is m rounded to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b + 5*p + 1455, -b + 0*p = -5*p - 299. Suppose -5*t - 4*v = -b - 141, 0 = t - 5*v - 115. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11414 = -77*m + 11857 - 24580 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 642789 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 131 - 2099\/16. Which is greater: f or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 2 = o - 2*z, o - z = 10. Let r = 25 - o. Calculate the highest common factor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -3*k - 0*s + 136, -5*k = 2*s - 208. Let u(q) = 32*q**3 - 238*q**2 + 66*q - 720. Let a be u(8). Calculate the highest common factor of a and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1377) + sqrt(1377)*3*-4 + (-2 + -1*sqrt(1377))**2 + -3.\nAnswer: -63*sqrt(17) + 1378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3101 and 90004310?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -43439 (base 10) in base 12?\nAnswer: -2117b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 63\/(-27) - -2*2\/12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 68336 and 752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*k**3 + 2*k**4 + 27*k**3 - 9*k**3 - 3*k**2 - 7*k**3 - 7 as h*k**4 + g + j*k**3 + c*k**2 + y*k and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -431*x**3 + 252*x**3 + 7 + 12 - 19 + 234*x**3.\nAnswer: 55*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4341399 and 201?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f + f - 45. Let m = 34 + -34. Solve 5*c - f = -m*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -100*p**2 - 72640*p - 13191424 = 0.\nAnswer: -1816\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/9, 0.29, -5\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8153 and 403?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/27)\/(k*k**(-3)\/k))\/(k*k**3)**(25\/4) assuming k is positive.\nAnswer: k**(-592\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.182244*0.944.\nAnswer: -0.172038336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 11*f = 72 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 844 - 19*q**3 - 1009 - 6*q**3 + 16*q**3 to the form p + i*q**2 + b*q + v*q**3 and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -652 - -657. Let x be (18\/81)\/(4\/(-6)). Which is the second smallest value?  (a) z  (b) x  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 11*l**3\/4 - 17*l**2\/4 - 65*l + 125.\nAnswer: (l - 2)*(l + 5)*(11*l - 50)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 278, 527, 940, 1517, 2258?\nAnswer: 3163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -5*z - 10. Let s be j(-8). Let h = s - 20. Calculate the remainder when h is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n - 5. Let g be f(8). Suppose 0 = -0*v + g*v - 9. Let o = -30 + 55. Solve 5*l + o = 2*d, -2*d - l - v = 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 4*s = -212, -24*i - 517 = -19*i + 3*s. What are the prime factors of i\/(-780) + ((-10106)\/(-30) - 0)?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4\/3 - 2. Let q = -5 - -5.8. Let r = q + 2.2. Which is the nearest to 0.1?  (a) i  (b) 1  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 669 is divided by 121.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.39 - -1278?\nAnswer: 1277.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/1380 and 41\/1840.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 3*v**4 - 24*v**3 - 1038*v**2 - 5736*v - 4725 = 0.\nAnswer: -9, -7, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -1648\/1137?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30640.21 millilitres to litres.\nAnswer: 30.64021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 50 + -47. Calculate the least common multiple of 10 and (-15)\/((-3)\/6*a).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -2*f**2 - 102*f - 475. Give x(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 114*i - 21*i + 132*i + 125*i + 68*i.\nAnswer: 418*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**2 - 175*v - 9347. Calculate n(-40).\nAnswer: -747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**2. Let i(h) = 0*h - h - 2*h. Calculate s(i(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 388 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**3 + x**2. Let w(q) = -2*q**2 - 545*q + 547*q + 4*q**2 + 4*q**3. Suppose -10 = 8*t - 13*t. Let k(l) = t*v(l) + w(l). Factor k(u).\nAnswer: 2*u*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 9\/(-1)*247\/(-429).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -105 - 8*m**2 + 229 - 42*m**2 - 119.\nAnswer: -50*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 141 * 3.78127.\nAnswer: 533.15907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 l when three letters picked without replacement from iihihhlhhhhlhlhlhih?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3*(-2)\/(-12))\/((-1)\/(-396)). Let v = 202 + f. Solve -v*x + 3 = -q, 5*q - x - 29 = -3*x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 813607903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 621.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 80 + -83. What are the prime factors of (h\/2)\/(18\/(-2424))?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of (-249835)\/(-55) + (-5 - -1)\/(286\/(-39))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000054831 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvn when three letters picked without replacement from {r: 6, x: 2, i: 1, v: 6, n: 3}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -34 - -70. What is the remainder when 105 is divided by o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of 3*b**2\/2 + 6*b + 7. Differentiate l(x) wrt x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -49*r**2 + 109*r**2 - 375*r**2 - 33*r**6 + 752*r**2 wrt r?\nAnswer: -3960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 30 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9*k**3 - 1212*k**2 + 4*k - 3577001?\nAnswer: 27*k**2 - 2424*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*j = -15*j + 16*j + 11*j + 660 for j.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66*t + 159*t + 675 = 0. Put -5, -357, t in ascending order.\nAnswer: -357, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16869 - 16869.00000096795. Round a to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -643, -764, -897, -1048, -1223, -1428, -1669?\n\"Answer: -m**3 - 114*m - 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -2*w - 12. Let o = 260 + -267. Let i(t) = t + 3. Let k(z) = o*i(z) - 2*g(z). Let c(f) = 4*f - 3. Give 2*c(j) + 3*k(j).\nAnswer: -j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 28 = -2*q + 4*v, 4*v = -4*q + 16. Suppose 5*r - 1792 = 5*k - q*k, 3*r - 1077 = -3*k. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bby when three letters picked without replacement from {s: 2, y: 5, u: 2, b: 4}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1234, -2503, -3772, -5041, -6310, -7579?\nAnswer: -8848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -270387 divided by 2095\nAnswer: -270387\/2095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - 0. Let z be 12\/(-8) + 147\/6. Let c = z - 185\/8. Is c <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 108086\/15 - 7202. Calculate the common denominator of n and 34\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - 3*g - 2, 4*y + 0*y - 3*g + 8 = 0. Suppose 2*s = -4*x + 14, -2*x + x - 37 = -4*s. Let d = y + s. Sort 0, d, -3 in decreasing order.\nAnswer: d, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 + 3 + -2)*(1 + 5). Let c(p) = -p**2 + 1. Let a(r) = -25*r**2 - 10*r - 4. Let q(y) = m*c(y) - a(y). Is q(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - 3. Suppose -5*m + 27 = -3. Suppose -2*r + 4*i = 0, -i = 3*r - m*i - z. Solve 6*c = 5*l + 3*c - 9, r*c + 12 = 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 94 a factor of 9071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, t: 2, f: 2, r: 5, m: 4}. What is prob of picking 1 l, 1 f, and 1 m?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(1\/4)*o)\/(o\/(o*(o**0*o)\/o)))**(-21)\/((o*o\/((o**(1\/4)\/o)\/o*o))\/o*o**(3\/5))**(-9\/5) assuming o is positive.\nAnswer: o**(-1101\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -3*w. Let g(k) = 603863*k**2. Give g(r(p)).\nAnswer: 5434767*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 a factor of 2013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l. Let d be f(-1). Calculate the common denominator of (d + 5)*33\/(-16) and -85\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1809*u + 518574 - 518574 to x*u + o and give x.\nAnswer: 1809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/1926160 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 3*h**3 + h**2 - 6*h - 1. What is i(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -a - 4*k - 6, -3*a - 4*k = 13. Let r = -3771 + 33938\/9. Which is smaller: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 5  (b) 1\/8  (c) 1\/7  (d) -96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 118704 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/5336 and -113\/18676.\nAnswer: 37352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 16419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -11285067, -22570164, -33855261, -45140358, -56425455, -67710552?\n\"Answer: -11285097*d + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1031453566 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 432539291 to the power of 1\/2, to the nearest integer?\nAnswer: 20798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 10154 divided by -2?\nAnswer: -5077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2614509821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 7*f**2 + 25*f - 6. Is 11 a factor of w(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -24*i**3 + 13*i + 15*i - 6*i**3 wrt i.\nAnswer: -180*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64207.57ml to litres.\nAnswer: 64.20757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7*((-2)\/(12 - 28))\/(-1).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -102249 divided by -11361\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 3*g**5 + 6636*g**4 - 27057*g**3 - 1031106*g**2 - 1472616*g + 7179840 = 0.\nAnswer: -2216, -9, -4, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1622*q*r**2*w + 13*q*w**2 + 9*r**2*w**2 - 3*r*w**2 - 124*w**2 + 2*w wrt q.\nAnswer: -1622*r**2*w + 13*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 84784776*l**4 + 894772538.\nAnswer: 339139104*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 10*o**3 - 8*o**2 - 8*o + 54. What is the units digit of i(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9.41 + -9.5. Let v = -2.3 + 2.39. Let o = b + v. What is the nearest to o in -3\/4, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 168381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/(-6) + (-65)\/2. Let l = -19 - r. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-3\/4)*i)**(-1\/3)\/(i**(-6))**(-16))**(-1\/12) assuming i is positive.\nAnswer: i**(1153\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 12629795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 14*w**4 + 10*w - 10*w + (0*w**3 + w**3 + w**3)*(-2*w + 4*w - w) - 4*w + 2*w**4 + 4*w + (204 - 411 + 210 + 7*w**2)*(5*w**2 - 2*w**2 - w**2).\nAnswer: 32*w**4 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/10 and (11590\/1100 + -14)\/3.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 5 = -2*d, 4*j + 2*d = 14. Is (0 + 1)\/(j\/51) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**9*d**(-10\/9)*(d**14\/d)\/(d**(-3\/4)\/d))**(17\/5) assuming d is positive.\nAnswer: d**(2771\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 72 = 2*k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16 - 9. Let y = 10 - a. Let q(i) = i**2 - i - 4. Let h be q(y). Solve d + 5 = h*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 519053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 14732 divided by 3683\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 + (5\/(-1))\/(-5)*100\/20. Solve -3*s + 6 = a - 4*a, 0 = v*a - 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 <= 139787425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-7)\/(56\/(-8)))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 14) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 70\/(-42)*36\/(-100).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (9\/(-6))\/((8 - 9)*(-9)\/(-18)). Solve 3*v = w*t - 15, t + 4 - 5 = -3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/4  (b) -6  (c) -2\/13  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 8*r**3 + r**2 - 8*r + 16. Let j be i(2). What is the highest common divisor of j and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1\/(1\/(-1)))\/(4\/(-78856)) - -7.\nAnswer: 13, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 36 - (21 - (-4 - (0 - 13 - -3)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 h, and 1 w when three letters picked without replacement from {h: 2, x: 2, m: 1, y: 4, q: 1, w: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-11)\/4 + 7\/(-28) + 13. Let t = i + -7. Let l be 1\/(5\/(-27 - t)). Let r(g) = g + 3. Calculate r(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 77383880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 2 - 2 - 3*w. Let p(x) be the second derivative of 0 + 0*x**2 - 1\/12*x**4 + 0*x**3 - 2*x. Calculate f(p(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**2 - 7*k - 11. Suppose 9 = 6*m - 3*m - 5*u, -u = -4*m + 29. What is v(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrzi when four letters picked without replacement from {z: 2, r: 6, i: 4, h: 3}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1353363 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 2*k**2 + 10*k - 293. Let g be s(-20). Let r = 358 - g. What is the least common multiple of r and 24?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q. Let j(t) = 28270*t - 5. Calculate j(f(v)).\nAnswer: -28270*v - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.06?  (a) -0.3  (b) -4  (c) -15\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -7*w**2 + 5*w. Let g(y) = -2*y**2. Determine j(g(f)).\nAnswer: -28*f**4 - 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*o = 2*w - 22, 8 = -5*w + 5*o + 38 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 3\/47  (b) 1  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-1 + a + 1)*(-1 + 0 + 0) - 21*a + 18*a + 28*a)*(-1 - 3 - 3 - a**2) to o*a**2 + l*a + j + f*a**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -161101.3 or -85?\nAnswer: -161101.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 41364444 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1098)\/5 + 16\/(-40). Let p = u - -514. Suppose 3*o = 6*o - p. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -14*l**3 + 18*l**2 + 5. Let u(p) = 7*p**3 - 9*p**2 - 2. Let b(m) = -2*o(m) - 5*u(m). What is the third derivative of b(y) wrt y?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2432628301 to the nearest integer?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -87\/31292 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 5517713.72 + 0.5\nAnswer: 5517714.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n - 2*y = 21, 70 - 64 = 3*n + y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 b, and 1 o when three letters picked without replacement from {o: 7, w: 1, b: 3, r: 2, v: 5, l: 2}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02 less than 0.008?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7520 and 235.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 + 3)*(-7*y - 34*y - 60*y + 15*y) in the form v + c*y and give c.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the third derivative of -35\/24*w**4 + 0 + 0*w - 5\/3*w**3 - 138*w**2 - 1\/42*w**7 - 3\/4*w**5 - 5\/24*w**6. Factor f(p).\nAnswer: -5*(p + 1)**3*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.41 + -115.59. Let n = y - -117.0000083. Round n to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1372413725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dewx when four letters picked without replacement from {w: 1, x: 1, z: 1, c: 1, e: 2, d: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(108)\/sqrt(3))\/sqrt(12))**2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1241305 at most as big as -1241193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1462 - 1387 - (35 - 1)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 113\/72534 and -101\/51810.\nAnswer: 362670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2654.3202 hours in days?\nAnswer: 110.596675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/80 and -87\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 22781634 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 6930000 to the nearest one hundred thousand.\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11*u**5 + 27*u**3 - 27*u**3 + 3*u**5 - 19*u**5 + 0*u**5 + (2*u - 4*u + 4*u)*(6*u**4 - 3*u**4 - 2*u**4) + u**5 + u**5 - 4*u**5.\nAnswer: -27*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -143 + 149. Let y(q) = q**3 - 9*q**2 + 4*q - 17. Let z be y(t). Let v = z - -277. Is 22 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 248123370 divided by 463782.\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -152, -2, -0.1, 2\/273, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-182)\/(-637)*14\/8. Let k be 2\/(-13) - 5\/((-1170)\/(-16)). What is the closest to k in -4, 2\/19, h?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 - -13. Suppose b*g - g - 19 = -3*d, 0 = 3*d + 3*g - 24. Suppose 4 = 4*i, -5*f - d = 3*i - 56. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2468 + 2461 - (39 - (5 + -3))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = 2*k - g + 27, -12 = 2*k - 2*g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0032718469 to five dps.\nAnswer: -0.00327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 48784717 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 47727821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l + 7 = -2*p, 0*p + 4*l - 11 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1153 by -15.\nAnswer: 1153\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -497 - 287 + 196 = 147*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 47 + 38 = 0. Let n(x) = -x + 80. Let s be n(12). What is the greatest common factor of s and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2c40 (base 16) in base 13?\nAnswer: 5205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 26800064 to the power of 1\/4, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 2*g + 92. Calculate the common denominator of 15\/8 and 2\/(0 + (-40)\/g).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 56746a681 + 2?\nAnswer: 56746a683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 5561281476*k**2\/5 + 1044036*k\/5 + 49\/5 = 0.\nAnswer: -7\/74574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 5*i**2 - 11*i + 3*i**2 + 4*i + 10 - i**3. Let o be g(7). Let y = -5 - -10. What is the greatest common divisor of o and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.1117522 years?\nAnswer: 0.0001117522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 5*a. Let l(n) = -2 - 9*n - 7*n - 6 + 6*n**2 - 8. Let d(g) = 2*g**2 - 5*g - 5. Let b(z) = -16*d(z) + 5*l(z). What is p(b(v))?\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 + 4. Let o be (8\/(-5))\/(i\/10). Suppose 4*u = 104 - 8. What is the highest common factor of u and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -y - 784*y**4 - 5*y**3 + 3*y**3 + 785*y**4 + 10 to the form p*y**3 + c*y**2 + a*y**4 + n*y + j and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 108.576989 times -1\nAnswer: -108.576989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2 - 77. Let u(p) = -175054*p. Give u(b(k)).\nAnswer: 175054*k**2 + 13479158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2933\/2920 + 111\/73. Calculate the common denominator of m and -101\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {e: 1, j: 1, y: 2, k: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*s**3 + 0*s + 0*s + (1 + 2*s - 1)*(s**2 + 4*s**2 - 3*s**2) - 14*s**3 - 18*s**3 - 18*s**3 as u*s**2 + d + c*s**3 + y*s and give c.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-292)\/1095)\/(32\/(-10)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1385, -5545, -12477, -22181, -34657, -49905?\n\"Answer: -1386*y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 69*o**3*r**2 - 5*o**3*r*z - 1354*o**3*z + 6*o**2*r**2*z - 2*o**2*r*z - 2*o*r*z - 2*o*r + 39*r**2*z wrt r.\nAnswer: 138*o**3 + 12*o**2*z + 78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.001 + 1.999. Which is the closest to -11?  (a) 0.1  (b) -2  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1245*r = -1239*r - 20166. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2130*s = 2301*s + 4617 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the first derivative of n**4\/18 + 70*n**3\/27 - 152*n**2\/9 + 104*n\/3 - 6838. Factor t(b).\nAnswer: 2*(b - 2)**2*(b + 39)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 2334*i + 245072. What is z(-105)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a + 2544*l - 17 = 2543*l, l + 85 = -5*a - 3*l for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4*(-3)\/(-33))\/((-28)\/154)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8072000 rounded to the nearest one hundred thousand?\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 3 - (-328 - -320)) + 6 + -56\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-5)\/(-5))\/(4\/24). Calculate the greatest common divisor of 123 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -13835, -55210, -124129, -220592, -344599?\n\"Answer: -13772*q**2 - 59*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -74761764 by -2.\nAnswer: 37380882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3457131 is divided by 2291?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xa when two letters picked without replacement from kddgxwadwdxkxa?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are 767959 and 11519393\/15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**3 + 3*r**2 - r + 2. Let v = 6 + -9. Let y be p(v). Suppose -81 + 16 = -y*o. Calculate the remainder when 38 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/3*2*3. What is the greatest common factor of o and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*t**4 + 75*t**3 - 55*t**2 - 975*t.\nAnswer: -5*t*(t - 13)*(t - 5)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (((-128)\/24)\/4)\/((-8)\/6). Suppose -5*x = -4*x - f, 5*g + 3*x - 2018 = 0. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 55\/10 + (0 - 2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*z - 3433 = -j + 2316, -4*z - 32 = 0. What are the prime factors of j?\nAnswer: 3, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 + -8. Suppose 0 = 6*s - 26 - 10. Suppose s*g - 42 = 24. Let t(r) = -6*r**2 - 4*r + 4. Let n(u) = -17*u**2 - 11*u + 11. What is g*t(m) + x*n(m)?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b - b + 42. Let s be 4\/b - 4\/14. Solve s = -y + 3 + 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -50*-4.8\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1071 and 111741?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1308 and -10.7.\nAnswer: -1318.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*s**3 + 10*s**2*z - 17*s*z - 3*z + 278 wrt s.\nAnswer: 9*s**2 + 20*s*z - 17*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5988, -5981, -5968, -5949?\nAnswer: -5924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes after 3:51 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14*s**2 + 10*s**6 - 4 - 1247*s**3 + 1253*s**3 - 82*s**2 wrt s?\nAnswer: 1200*s**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9725 is divided by 317.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0\/(32\/(-40) + 4\/(-20)). Is h smaller than -76\/177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-3*o + o + o)*(4 - 4 + 2) - 6965*o - 1980*o - 1923*o)*(4*o + 0*o - 2*o) + 0*o**2 - 2*o**2 + 4*o**2 to b*o + a*o**2 + k and give a.\nAnswer: -21738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*w = 2*w - 45, q + 2*w + 74 = 66 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000116617087 rounded to seven decimal places?\nAnswer: -0.0001166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 9*u + 9. Let m = -21359 + 21345. Let b(x) = -1. Let z(t) = -t - 4. Let q(d) = -12*b(d) + 4*z(d). Give m*q(h) - 6*p(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*f**3 + 14*f**3 - 36*f**3 + 18 + 14*f**3.\nAnswer: 2*f**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 - 6*l**2 - 7*l + 3. Let g(q) = -4*q - 1. Let n be g(-2). Let y be b(n). Find the third derivative of j**3 - 2*j**y - 3*j**3 - 4*j**2 wrt j.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -2*u**2 + 2*u + 19. Suppose 0 - 6 = o. Let j be l(o). Let c = j + 149. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 2*m = -2*n + 87, 2*m + 66 = 4*n. Let s = 40 + m. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 6381 = 2*u - 2704, 3634 = 2*p - 5*u. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 3 = -3*g, 5*i = 2*i - g - 19. Let n(s) be the third derivative of 0 + 1\/12*s**4 - 4*s**2 + 5\/6*s**3 + 0*s. Calculate n(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-21 + 19)\/(0 + 2\/(-5)). Let a(h) = h**2 - 19. Let w be a(f). Find the third derivative of 0*j**2 + 5*j**6 + w*j**6 - 2*j**6 - 27*j**2 wrt j.\nAnswer: 1080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 65145 and 245.\nAnswer: 3192105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (110 + 106 + 221*f - 216)*(-f**4 + 2 - 2).\nAnswer: -221*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6824 or 6828?\nAnswer: 6828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the second derivative of s**6\/1080 - 13*s**3\/3 - 3*s. Let b(w) be the second derivative of y(w). Solve b(t) = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.3345995 to one decimal place.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-4)\/(-8))\/(450\/(-10100)))\/(8\/(-72))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -133430 to the nearest one thousand.\nAnswer: -133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 j and 1 o when four letters picked without replacement from jijojjjioijj.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 4*h**2 - 4*h + 4. What is r(3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1*(-3 - 2) + -2. Solve 2*i - b = 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -77 + 8899 + -8738?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.1 - 0.1. Let d be 15\/(-50)*(10 + -2)\/4. What is the nearest to y in -1, d, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 100*(-8)\/(-2752)*(6 - 3\/((-150)\/(-320)))?\nAnswer: -5\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-159)\/(-265) - (-94)\/10. Let i(u) = -u**3 + 2*u**2 + 2*u - 2. Let t(m) = -m**2 - m + 1. Determine d*t(q) + 5*i(q).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the third derivative of 25\/4*w**3 - 5\/8*w**4 + 1\/40*w**5 - 24*w**2 + 0*w + 0. Let x(h) = 0. Calculate h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(-27)*o\/((o\/(o**30*o)*o)\/o))\/((o\/o**(12\/13))\/(o*o**(2\/5))) assuming o is positive.\nAnswer: o**(3921\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 31638 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l**2 + 8*l**2 - 143*l**5 - 480*l**3 + 142*l**5 + 640*l + 163*l**4 - 16*l**2 = 0 for l.\nAnswer: -1, 0, 2, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4019419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b424 (base 13) to base 11\nAnswer: 17762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uzuuuuuu. What is prob of picking 2 u?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 121183 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -2*o**2. Let k(a) be the first derivative of 6*a**2 + 13. What is w(k(y))?\nAnswer: -288*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/(v**(-1\/2)\/v)*v*v**(1\/4)\/v*(v**(1\/3)\/v)\/v**(1\/9) assuming v is positive.\nAnswer: v**(71\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -108*h - 5. Is a(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.39119485 and -0.19.\nAnswer: -0.58119485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 62933 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1020777727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 198427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 plus 309646718.1?\nAnswer: 309646731.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(700) - (0 + sqrt(700))**2*2).\nAnswer: -1400 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1*(-8)\/(-70)*7\/2. What is the second biggest value in -0.3, -4, 2, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13238926 divided by -6619463\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*c - 12*c + 5*c - 3 + (-101*c + c + 18*c)*(-3 - 3 + 5).\nAnswer: 80*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1010111 (base 3) to base 4.\nAnswer: -30313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 2*y + 1372 = 2*y, 12 = 3*y. Let i = r + 810. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 70 = -v - 5*j, 3*j - 6 = 0. Suppose 5*c - 80 = -7*y + 2*y, -5*c = -5*y - v. Calculate the greatest common factor of 99 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-22)*d)\/(d*d\/d**(-1\/20)))\/(d**(2\/19)*d\/((d*(d\/(d*d**(1\/23)*d))\/d)\/d)) assuming d is positive.\nAnswer: d**(-228977\/8740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4123854 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -0.065  (b) 4  (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.11938 to three dps.\nAnswer: -0.119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 154043 and 3.\nAnswer: 462129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -92, -103, -122, -149?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 5 + -10 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 + -6. Let z(b) = -28*b**2 - 22. Let s(g) = -265*g**2 - 42*g + 92. Let y(w) = 101*w**2 + 16*w - 35. Let m(d) = 8*s(d) + 21*y(d). Give v*z(x) - 44*m(x).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*b + 7*b - 25. Suppose 2*t - 16 = 2*v - 40, -4*v = 5*t + 24. Let x = b + t. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2016779747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 10\/(-1) - 14\/(-7). Let n be (32\/o)\/((-6)\/216). Suppose u + 47 + 5 = 3*i, 3*i - 58 = -2*u. Calculate the greatest common factor of i and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y = 264 - 256. Let d = -5\/4 - -3\/4. Which is the third biggest value?  (a) d  (b) -14  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 6, v: 1, q: 1, p: 3, y: 2}. What is prob of picking 2 h?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of -a**5\/30 + a**4\/24 + a**3\/6 + 2124*a**2. Let m(h) = -h**2 - h - 8. Let p be m(0). Let n be p\/10*(-5)\/2. Determine u(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 783 - 771. Solve 0 = c*b + 6 - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k = 3*k. Let p(z) = -z**2 - z. Let s be p(k). Suppose s*m + 36 = 3*m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2717 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -609*i + 47462 = -2476 for i.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-898)\/(-1)*(-55)\/(-2). Suppose 7*p - x = 1737. What is the third derivative of -3776*c + 4*c**2 + 22*c**3 + p*c wrt c?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 881975?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o + 3*j + 14 = 0, 39*o + 4 = 41*o - 2*j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 297\/(-12)*(-7 - 53).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 3*t - 1)*(4 - 27 + 5*t - 6*t) to the form d*t + a + y*t**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*u**3 - 8 + 0*u**3 + 7 + (-u**3 + 0*u + 0*u)*(23 - 2 + 3).\nAnswer: -21*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.025806 rounded to three decimal places?\nAnswer: -6.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 409 - 187. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/1*(-1 - 4). What is the third derivative of 3*f**5 - o*f**4 + 5*f**4 - 3*f**2 wrt f?\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 525 - 513. Solve -4*z + 23 = y + 2*y, 2*y - i = -2*z for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 18927?  (a) 23  (b) -0.1  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + 50 = -7*l, 16722*o - l = 16720*o + 14 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, f: 1, x: 1, k: 1, o: 1, e: 2}. What is prob of sequence foxf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 3*s**2 - 15*s - 13. Does 7 divide p(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*z + 3*z - 4*l = 25, -3*l + 3 = -5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 3*b = 7, -4*w + 2 - 1 = -5*b. Let q(l) be the second derivative of -1\/4*l**3 - 1\/4*l**w + 0*l**2 + 0 + l - 3\/40*l**5. Factor q(g).\nAnswer: -3*g*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1819, -3011, -3923, -4555, -4907?\nAnswer: -4979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 times 0.019?\nAnswer: -0.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.112, 0.003, -4, 3\/7, -5 in ascending order.\nAnswer: -5, -4, 0.003, 0.112, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1149196*s**2 - 957968 wrt s?\nAnswer: 2298392*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*x = -5*n - 21 - 9, -4*n + x - 24 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.39 - 0.01. Let f = -0.19 - -0.14. What is the nearest to f in 4, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/20752 and -5\/28534?\nAnswer: 228272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 166291956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 = 5*r + 3*g - 23, r - 2*g = 18. Let q be (2 - 3\/3)\/(5\/(-15)). Calculate the remainder when 783\/24 + ((-45)\/40)\/q is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**3 + 12*k**2 - 8*k - 28. List the prime factors of t(6).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3769693, 3769679, 3769663, 3769645?\nAnswer: 3769625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.358172 to 3 dps.\nAnswer: -0.358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14269, 14267, 14265, 14263, 14261?\nAnswer: 14259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1231.03 + -1231. What is the closest to 0.1 in 1, 5, p, 2\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 16*w**2 + 10*w + 61. Let a(c) = 3*c**2 - 2. What is -6*a(h) + m(h)?\nAnswer: -2*h**2 + 10*h + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1019908 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 126*f**3 - f**2 + f. Let d be 3 + (3 - 5) + 0. Is b(d) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2 - 483349548*r.\nAnswer: -2*r*(r + 241674774)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 - (-2)\/(-4) - -3. What is the third biggest value in -2, h, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2237?\nAnswer: 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 47 - -195422?\nAnswer: 195469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xeeeeexeeeeee. Give prob of sequence xxee.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6 and -298.3?\nAnswer: -1789.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 3*z - 132856 + 50368, 4*z = -3*b + 109988. Suppose -24*q + z = -7564. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r + 13 + 31. Let g = r - 7. Solve -z - 5 = -2*h, g = 2*h - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 6 + -8 - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (65\/(-20)*-4)\/1. Let f = b + 7. Let q = 23 + -15. Calculate the highest common factor of f and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/15579530 and 17\/17137483.\nAnswer: 171374830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 49*h + 63. Let s be v(4). Solve 7*z + s = 238 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 256 - 254. Calculate the smallest common multiple of i and -2 - (1 + -2 - 22).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 166 is divided by 61.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 41, 105, 203, 353, 573, 881?\n\"Answer: 3*x**3 - x**2 + 46*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -33+-3.48\nAnswer: -36.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 173\/377580 and 23\/560?\nAnswer: 1510320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 2352 = 3*l - 4*k, -4*l = 5*k - 2352. Let z = -683 + l. Is -95 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 0, 17 + 15 = w + 5*f. Let p be 3\/(-2 - (-67)\/w). Let r(q) = 5*q**3 + q**2 + 2*q. Let l be r(2). Calculate the highest common divisor of l and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 510155 to the power of 1\/2, to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 266780 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: Suppose 5*n - 24 = 3*w - 2*w, -12 = n + 4*w. Suppose -n*z - 2*j + 3*j + 26 = 0, -3*z - 5*j + 8 = 0. Suppose z*u - 360 = 24. Is u a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (205*x + 206*x - 413*x - 32)*(x**2 + x**2 - 6*x**2) to g + m*x + j*x**2 + b*x**3 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 5*c + 8 = 0, -276113 = -m + 5*c. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-32)\/(-1484))\/(22\/154)*(-3)\/(-12). What is the nearest to j in -0.2, 2\/3, -11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -7, -59, -213, -523, -1043?\n\"Answer: -9*i**3 + 3*i**2 + 2*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the first derivative of 0*b**5 - 1 + 0*b**3 + 0*b**4 + 2*b**2 + 0*b - 5\/3*b**6. Find the second derivative of x(v) wrt v.\nAnswer: -200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*i + i**4 - 2*i + (-2*i + 2*i - i)*(-3*i - 2*i + 0*i)*(i**2 - i**2 - i**2) in the form c*i**3 + f*i + s*i**2 + z*i**4 + q and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*m**3)*(148 - 23*m**2 - 71 - 82).\nAnswer: 46*m**5 + 10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the first derivative of 2*w**5\/55 + 1548*w**4\/11 + 1597536*w**3\/11 - 334. What is y in j(y) = 0?\nAnswer: -1548, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 1463850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2)\/(-3))\/(6\/297). Let x = g - 48. What is the common denominator of 3\/(126\/8)*x and 101\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 157483.44 months?\nAnswer: 13123.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 10*v**3 + v**2 - v - 2. Let h be i(2). Let m(k) = -k**3 + 143*k**2 + 2*k - 281. Let j be m(143). What is the highest common factor of h and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12052876247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*i**2 + 12*i**2 - 3*i**2 + (-2*i**2 - i**2 + i**2)*(-3 - 11 + 3).\nAnswer: 38*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(4 + (sqrt(76)\/sqrt(4) - sqrt(19) - sqrt(19))**2)*-6.\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 m when three letters picked without replacement from {m: 5, c: 4, o: 4, r: 5, p: 1}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*c*l*y**3 + 133*c*l*y**2 - c*l*y - 2*l*y**3 - l - 2*y**3 wrt y.\nAnswer: 54*c*l - 12*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 238 + -215. What is the remainder when 53 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) -0.02  (c) -2\/5  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d**(-12)\/d))\/d)\/(d\/(d*(d\/((d**11\/d)\/d))\/d))*(d**(2\/7)*d)**(-48) assuming d is positive.\nAnswer: d**(-404\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 4*o - 378 = 0. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 54 = g - 2*t, 0 = 2*g - 5*t - 31. Let z = g - 13. Suppose -3*o + 389 + 490 = z. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -12 - 10*m - 11 - 2*m**2 + 5 + m**2. Let u be v(-7). Suppose 3*h = u*w - 0*w + 45, w - 45 = -4*h. What is the greatest common factor of 108 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 2*u - 36 - 12, -120 = -5*u + 3*b. What is the greatest common divisor of u and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100.366 take away -0.5465425?\nAnswer: -99.8194575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.12 * -107971\nAnswer: 12956.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 4*w + 2 = 0. Suppose -w*t + 4*u = -14 - 12, -t - 11 = 4*u. Is 143\/(-2 + t - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 96\/(-22)*60423\/(-7324).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes after 10:48 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1345186, -1345179, -1345168, -1345153, -1345134, -1345111, -1345084?\nAnswer: -1345053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -4*o + 23104, -86*x = 4*o - 88*x - 23084. Is o 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 8:17 PM and 6:09 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10346848 + 10346867.9999874. Let y = t - 20. What is y rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j + 5*z + 9 + 1, j = 2*z + 1. Suppose -5*t + 241 = 4*a, -184 = -j*a - 4*t - 3. What is the remainder when a is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1013711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -148*d = 2*t - 120*d - 115818, 5*t + 2*d - 290089 = 0. What is the thousands digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes after 10:31 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 - 5*v**2 + 16888*v + 4*v**2 - 16888*v - 2*v**2.\nAnswer: -3*v**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuuuuccccu. What is prob of sequence uuc?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20b2017 (base 13) to base 10.\nAnswer: -9972203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31943, 127870, 287749, 511580, 799363?\nAnswer: 1151098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 26730958699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w - 13 - 1. Suppose w*y = 13*y + 136. Calculate the remainder when y is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -4*f**2 - 47*f - 146. Give a(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1714045 in -2\/17, -5, -0.4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*0.115\nAnswer: -0.0115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 140 + -433134200?\nAnswer: -433134010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 4*x. Determine o(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -28.725 times 11.135\nAnswer: -319.852875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 5*z + 5 = 0, 2*z - 11 = -5*v + 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-42)\/(-70))\/((-3)\/(-25)). Put 0.07, k, 2\/17, 0.1 in decreasing order.\nAnswer: k, 2\/17, 0.1, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -127*f + 45 - 70 + 134*f.\nAnswer: 7*f - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2834, -5552, -8080, -10322, -12182, -13564, -14372, -14510?\n\"Answer: 16*k**3 - k**2 - 2827*k - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-15 - 4) + (-9)\/(45\/(-110)). Factor -2*g - 4\/3*g**2 + 0 + 2\/3*g**v.\nAnswer: 2*g*(g - 3)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127742*l + 2866 - 1150 = -127781*l for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -2 + 2 - 5*g. Let k(o) = o**3 + 4*o**2 + 3*o + 2. Let j be k(-3). Let v(y) = -2516 - j*y + 2516. Give a(v(q)).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4089, 8562, 13841, 20334, 28449, 38594, 51177, 66606?\n\"Answer: 68*y**3 - 5*y**2 + 4012*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r*r*r*r*r*r**(-7)*r)\/((r*r\/(r\/(r**(-1\/8)\/r*r))*r*r)\/r)*(r\/(r**(3\/7)\/r))**35 assuming r is positive.\nAnswer: r**(425\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**4 - 17*i**3 - 96*i**2 - 208*i - 128.\nAnswer: -(i + 1)*(i + 4)**2*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*j + 4*j + 2*j)*(-2*j + 4*j + 0*j)*(-3*j**2 + j**2 + j**2).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**4 + 42*n**3 - 345*n**2 + 300*n.\nAnswer: 3*n*(n - 5)*(n - 1)*(n + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15)\/(-495)*(1 - -5)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 950 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 11 = 4*v. Sort -1, -4, -2, v in decreasing order.\nAnswer: v, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in 2\/3, 2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + -12 + (-2 - 2) - 12.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14)\/sqrt(2) + sqrt(7))*1 + sqrt(7) + sqrt(21)\/sqrt(3) + -5 + -4 + ((5 + 0 + sqrt(847) + -6*-1*sqrt(847))*-4)**2.\nAnswer: 12324*sqrt(7) + 664439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - f - 30 = 0, -2*t + f - 31 = 44. Let s(v) = -80*v - 35. Let h(q) = -9*q - 4. Give t*h(r) + 4*s(r).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4598357281 and -0.348?\nAnswer: 4598357281.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 24121 (base 5) to base 7\nAnswer: 5131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 709463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 + 10*12\/150. Let o = -406 + 385. Which is the third biggest value?  (a) -2  (b) 5  (c) o  (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (292 - 297 - (54\/8)\/(-1))*-4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-26)\/(-4)*(-1323)\/(-2457).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10824781 to the power of 1\/2, to the nearest integer?\nAnswer: 3290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -351*k - 4573 + 9147 - 4574 in the form q + c*k and give c.\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/1 - -3)*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 + 5 + 2*y - 4*y - 15.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1576 and 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 122 a factor of 10980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 101a + 3c?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*g - 1010 = -50*g. Solve -5*r - 101 = -g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-207*h - 211*h - 38*h**2 + 417*h)*(3*h**2 - 3*h + 3*h).\nAnswer: -114*h**4 - 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-45)\/6*2\/(-3). Suppose -b*z + 3 = -4*z. Let m be (0 - 3)\/((-2)\/22). What is the greatest common factor of z and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37 divided by 62?\nAnswer: 37\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 34.2744 rounded to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2432705134 rounded to two decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 + -15. Let d be 39\/15 + (-8)\/g. Suppose d*n = 4*n. Solve n = b - 0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -x**3 + 13*x**2 = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -i**4 - 10*i**2 + 70*i*r + 102*i + 5304415*r wrt i.\nAnswer: -4*i**3 - 20*i + 70*r + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 240.\nAnswer: -1\/240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111021 (base 3) to base 13.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*b**2*c**2 + 899148*b**2*c*s + 6*b*c**2*s + 3*b*c**2 + 2*b*c*s - 137*c**2*s + 2*s + 3 wrt b?\nAnswer: 22*c**2 + 1798296*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z - 1. Let c(q) = 1. Let n(w) = -2*c(w) - 3*s(w). Suppose -14*g = -2*g - 36. Calculate n(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**2. Let k(i) = -92*i**2. Determine k(f(g)).\nAnswer: -92*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 122 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 + -5.1734.\nAnswer: -5.1734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (4 + (1 - 4) + -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 - -3. Let x be -1 - (-1)\/(-2)*4. Let f = y - x. Solve f*a - a + 12 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 2194*o + 1 - 3 - 2194*o - 490*o**2.\nAnswer: -490*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 196 - 137 = 0. What is the highest common divisor of z and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = 4*b + 62. Let m(h) = 2*h**2 + 6*h - 2. Let u be m(-7). Let f = u + b. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 206, 378, 564, 770, 1002?\nAnswer: 1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 433 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 588 and 60408474?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14, -21, -32, -47, -66, -89, -116?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**3 + c + 1. Let q = -2 - -3. Let o(p) = 4*p**3 + 4*p**2 + 4*p. Let a(g) = q*o(g) - 3*y(g). Give a(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9319.\nAnswer: 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = 4*w - 52 + 96. Let y(a) be the first derivative of 8*a - 2*a**w + 4\/5*a**5 + 13 + a**4 - 4*a**3. Let y(p) = 0. What is p?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 5*x**3 + 62*x**2 - 217*x - 4. Let g(f) = -6*f**3 - 63*f**2 + 222*f + 6. Let t(b) = 2*g(b) + 3*i(b). Determine p, given that t(p) = 0.\nAnswer: -23, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3 - 0)\/(0 - -1). Is 14*((-28)\/(-8) + i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4028537*r**3 - 119631050*r**2?\nAnswer: -24171222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -5*p**2 + 2*p. Let o be x(1). Let k(w) be the third derivative of -2*w**2 + 0 + 0*w + 1\/2*w**3 + 1\/12*w**4. What is k(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*o**2 - 3*o**2 + 254*o**4 + 249*o**4 + 2*o**3 - 741*o**4 + 2 + 239*o**4 - 852*o as w*o + v + i*o**3 + f*o**2 + j*o**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4751441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 301305486 and 2.\nAnswer: 301305486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -678071, -678150, -678229, -678308, -678387, -678466?\n\"Answer: -79*i - 677992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -51 - -53. Let d(j) = 20025*j**2 - 2*j + 4. Let x be d(c). Suppose -6*m - x = 3*m. What is m rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:58 AM and 4:54 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(3648) - (sqrt(3648) + sqrt(3648)*2))\/(sqrt(3) + sqrt(3) + -2*sqrt(192) + sqrt(3) - -1*sqrt(75)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3332 - 3330. Solve 44*a + s = 45*a + x, 5*a - 3*x - 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:19 AM and 4:28 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 94\/5 - 643\/35. Let q be (16\/10)\/((-6)\/15). Which is the closest to 1\/5?  (a) q  (b) 2  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**2 + 67*q + 1109. Determine n(-30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 356 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 190382581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 63 - 30. Let g = a - 20. Suppose 2*x - 2*q + 2 = 0, -q + 4 = -0*q. Solve g = -2*c - 3*n, -x*c - 3*n = 2*n + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -39 - -48 - (12 - 6 - -34 - -6).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-10770)\/(-10440) - (0 - 1\/(-4)). Let v = q + -10\/87. Which is the biggest value?  (a) v  (b) 2\/7  (c) 2\/17  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, l: 1, r: 1, s: 1, e: 1}. Give prob of picking 1 l, 1 s, and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 734 + 102. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 100 + -103. Let o = -1 - 0. Is o less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -15 in 0.06, -10.3, -5?\nAnswer: -10.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 499.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*w - 5*w - 16 = 3*a, 4*a + 10 = -w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 PM and 8:20 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q\/q**5*q\/(q\/(q\/((q**(3\/4)*q)\/q))))\/(q**(-6\/5)\/q**1) assuming q is positive.\nAnswer: q**(-11\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 148.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*s - 2*s - 18 + 228 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 388043 is divided by 77330?\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 549*s - 18721 = -604 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g**5 + g**3 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -j - 3. Factor 3*y**4 + 3*y**4 - 3 + 3*y**5 + 3 + 3*y**j.\nAnswer: 3*y**3*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 2*h**3 - 139*h**2 + 2242*h - 138576. What is j(68)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/4*(-32164)\/(-14190). Which is the third biggest value?  (a) -3  (b) j  (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 650 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 433160 and 742560.\nAnswer: 5197920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h, 1 c, and 1 y when four letters picked without replacement from {h: 2, k: 4, q: 1, y: 2, c: 7}?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -83, 4, 2 in decreasing order.\nAnswer: 4, 2, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1012 and 2312?\nAnswer: 584936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((74496\/72)\/(-97))\/6?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the second derivative of 0 - 3\/2*z**2 + 5\/12*z**4 + 1\/20*z**5 + 2\/3*z**3 - 4*z. Calculate t(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -169\/15510 and -26\/32571.\nAnswer: 325710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*o**4 - o**4 + 0*o**4 + (62 + 9*o - 62)*(-2*o**3 + 0*o + 0*o) to the form f + k*o**4 + p*o**3 + c*o**2 + q*o and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 93.4 + 253.4. Let i = q - 321. Let z = 25.951 - i. What is z rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = 4*y - 214. List the prime factors of y.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-2\/21))**(-6))**46 assuming a is positive.\nAnswer: a**(184\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 57800 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o + 3. Let n be z(-3). Suppose 4*w - 3*w - 12 = n. Suppose -61*m - 240 = -66*m. Calculate the highest common divisor of m and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 46 by 4.\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the third derivative of -h**5\/60 + h**4\/6 + 7*h**3\/2 - h**2 + 975. Factor u(b).\nAnswer: -(b - 7)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -16 - 9 + 23 + 10*x. Determine h(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1945 - -1958. What is the remainder when 14 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 390 - 405. Suppose 2*w - 2*f + 38 = 0, -3*w + 59 = -8*w - 4*f. Is w > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the first derivative of t**5\/20 - t**4\/3 + 2*t**3\/3 - 3*t**2\/2 - 165*t + 41. Let w(a) be the first derivative of q(a). Determine w(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 2*z**3 - 2*z**2 + z + 2. Let g = 5 + -3. List the prime factors of l(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 2*z**2 + 27*z - 596. Calculate p(11).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 48 = 2*w - 4*f, -w + 21 = 3*f. What are the prime factors of (-64)\/w*(-15)\/4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1)*k*k)\/k)**(8\/11)\/(k*k**(-1)*k)**27*(k\/(k**(-12\/11)\/k)*((k*k**(-6))\/k)\/k)**(6\/19) assuming k is positive.\nAnswer: k**(-5901\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*q - 3244 - 3169. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -2*i. Suppose 2*t - 6961571 - 1038429 = i. What is t rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.2, -4\/7, 2\/9, -22.3, 2, -1.3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 8*a**3 - 1279*a**2 - 159*a + 156. Give w(160).\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9067\/490 + -1\/245. Suppose 0 = -33*u - 120040 - 392417. Let a = u - -217501\/14. Calculate the common denominator of q and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 136326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 94*k**2 - 189*k**2 + 97*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -13.51 in 1\/12, -6\/5, -0.5, -1\/5, -72, 1?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*d**3 - 19*d**3 + d**2 + 5*d**3 - 2*d as o*d**2 + w + f*d**3 + n*d and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 24867.62 and -49755?\nAnswer: 74622.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5939876 minutes to milliseconds.\nAnswer: 35639.256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t**2*t))**5*(t**6*t)**(-9))**(-15) assuming t is positive.\nAnswer: t**1170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, b: 3, n: 3}. Give prob of sequence knk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*l - l + 3*l + (-3 + 0 + 0)*(-l + 2*l - 2*l))*(3 - 2 + 0).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 - 14. Let f(r) be the first derivative of r**2 + 5*r - 23681. What is f(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (41 - 48 - 89)*(1 - u - 1)*(-2 + 0 + 6)*(u - 2*u + 3*u).\nAnswer: 768*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = -3*v, n - 3*v + 13 = -0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aazldllld. What is prob of picking 2 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 936525.8mg in nanograms?\nAnswer: 936525800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 5) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3594297ml in litres?\nAnswer: 0.0003594297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 AM and 12:40 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1002 (base 3) in base 4?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -2*c - 3. Let j(a) = 3*a + 5. Let d(q) = -5*j(q) - 8*p(q). Suppose -2*b = 3*b - 20. Let g(r) = -b + 3*r - 4*r + 6*r. Determine 3*d(u) - g(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (1 - 1 - (-16 + 13)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k - 2*k - 3*k)*(-4*k + 0 + 0)*(1 + 0 - 2)*(-4 - 1 + 3).\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(1584) + 1)**2.\nAnswer: 48*sqrt(11) + 6337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-3\/4)*j)\/(j\/(j\/((j*j*j*j*j**(2\/11)*j)\/j))))\/(j**(1\/3))**(1\/23) assuming j is positive.\nAnswer: j**(-11981\/3036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1300 or -1302?\nAnswer: -1302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 6 - ((-17 - -9) + 38)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 - 2.1. Let x = 1.9 - l. Let h = x + -5. What is the closest to -1 in -1\/6, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5.45 + 5.4586. Which is the closest to 2?  (a) x  (b) 0.3  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/4 + 2015\/26. Let k = g + -29. Calculate the remainder when k is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the third derivative of u**4\/24 - u**3\/3 + 2*u**2 + u. Calculate v(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -65634 divided by -32817.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.3 or -8043\/2?\nAnswer: -8043\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/8)\/((-1)\/((-4)\/(8*-4))).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 313*i**2 + 2*i = 0.\nAnswer: -2\/313, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = 5*q + y, 0*y + 8*y = 5*y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27*h + 11*h - 8*h)*(h + 4 - 4) + 3 + h**2 - 3 + (-2*h + 4*h - h)*(-3 + 3 + h).\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -132 + 1134?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 312356165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39, -37, -35, -33?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10 * 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 + 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*u = -608 - 1184 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sybbeyvbvvev. Give prob of sequence eseb.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*i*u**3 + 74*i*u**2 - 131*i wrt u?\nAnswer: 9*i*u**2 + 148*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-12) + 0)\/(35\/(-60)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-840)\/(-490))\/((-1560)\/(-2548))?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g - 0*g - 2. Let j(z) = z - 1. Let q be j(g). Is (-3 - -2)\/(q\/52) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*m - 1 = 13*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 57641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = j + 107, -5*y = -6*j + 3*j + 119. Let w be 0 - (-2 - y\/10). Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**2 - 6*p - 115. Calculate the lowest common multiple of t(-11) and 81.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5729 - -162?\nAnswer: 588b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-1)\/2)\/((-6)\/4))\/(1208 - 1198)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 23*b**2. Let d(u) = -2*u. Calculate z(d(v)).\nAnswer: 92*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15*(-22)\/(-231)*357\/(-17)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 17.84 rounded to 1 decimal place?\nAnswer: 17.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -9*y**3 + y**2 - 2*y + 4. Let z(k) = 8*k**3 - k**2 + 2*k - 3. Let r(o) = 3*f(o) + 4*z(o). What is the units digit of r(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2\/5  (b) -5  (c) 0.2  (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 4:02 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.411 times -0.34?\nAnswer: 0.81974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3135*o + 6406*o = 3214*o - 1767 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - 15)*(-3)\/9. Let g = 54 + -51. Suppose 0 = n*u, g*p + 7*u - 129 = 3*u. Calculate the remainder when p is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/9?  (a) 2.9  (b) 1\/2  (c) 0.3  (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) - (sqrt(125) + -2))**2 + ((sqrt(125)*-1)**2 - sqrt(125)).\nAnswer: -21*sqrt(5) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -162094*l + 1. Let d(t) = 2*t**2. Calculate b(d(n)).\nAnswer: -324188*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2*y - 1. Let f be d(3). Suppose -2*w - 2*j + 7 + f = 0, -w = 4*j - 18. What are the prime factors of w\/(-10) - (-166)\/5?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 57825441 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-13) + 441\/(-91). Sort 0, -4, s, 15.\nAnswer: s, -4, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -220 + 220 + 3*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -17*n - 3. Let o(b) = -20*b - 9*b - 7*b + 27*b - 14*b. Give z(o(c)).\nAnswer: 391*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f - 3. Let l(k) = -4*k - 6. Calculate -4*l(g) + 4*x(g).\nAnswer: 20*g + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 2:48 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 2*t**3 + 146*t**2 - 1063*t + 144. What is b(7)?\nAnswer: 543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 - -5. Suppose n = -2*n + 30. Suppose -m*b + 2 = -n. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 5*x**3 + 8*x**2 - 207*x - 212. Give l(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 311070 - 240972.2. Let y = 70097.20000125 - j. Let v = y + 0.6. Round v to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**2 - 29*o + 231. Determine g(-36).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the first derivative of l**4\/4 + 11*l**3\/3 - 14*l**2 - 10*l - 5354. Calculate h(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:38 AM and 4:21 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 42337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in -0.2, -6, 2, -1\/10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 931404.\nAnswer: 2, 3, 77617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 182016 and 384?\nAnswer: 182016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 - 1\/1 - -11. Suppose 0 = -4*j - 4, -2*j - 114 + 22 = -3*k. Suppose -3*d = -210 + k. Calculate the highest common divisor of q and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (-1 - 1 - (38 - 40)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 p, and 1 k when three letters picked without replacement from gkbbvpqp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 139 = k, 481 = 4*k - 106*l + 101*l. Solve -154*j - 240 = -k*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -188 + 966. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22375401 divided by 251409?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-60)\/27*3*((-1260)\/(-40))\/21\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 253018889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*i - 87 = -42*i. Solve 0 + 0 = -i*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 132 - 126 - 2\/((-8)\/3254). Let v = 821 - u. Which is the closest to -0.02?  (a) v  (b) 4  (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 7 + 1 = 0, 0 = 5*l + 3*f - 1326. Suppose l = 5*r - 1108. Suppose -r = 5*y - 4*y. Round y to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*c - 804 = c. Suppose c = 3*t + 7. Solve 2*u + 2*u = -t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*g - 108 = 7*g. Let d = 123 - g. Round d to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-290)\/58*(-6)\/50?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-4*((sqrt(1008) - (sqrt(1008) - ((-3 + -1 + sqrt(1008) - sqrt(1008)) + sqrt(1008)))) + -3 + sqrt(1008) + sqrt(1008) + 2))**2.\nAnswer: -144000*sqrt(7) + 3638800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8 + -12 - (-1 - 19). Suppose 12*x = l*x. Suppose 3*h = -2*h - i, -4*h - 3*i = x. Solve h*v + 2 = -2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32327, 32328, 32329?\nAnswer: 32330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 31583\/90993 - 2\/12999. What is the common denominator of o and 85\/56?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-162)\/(-10) + (-6)\/30. Let n(x) = -x**3 + 10*x**2 + 10*x - 3. Let r be n(11). Let b = r + y. Solve -3 = b*q - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/9 + (-66)\/(-54). Is 1 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2551, 5482, 8413, 11344, 14275, 17206?\nAnswer: 20137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -48*g**3 - 128*g - 367. What is m(-3)?\nAnswer: 1313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -212091 or -212090?\nAnswer: -212090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, 7, -3\/8, -9?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00014094912 rounded to seven dps?\nAnswer: 0.0001409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b + 7. Let n be (1380\/8)\/5*2. Suppose 4*j + 9 = n. Suppose 3*g + j = 3*o, -4*o + 11 = -3*g + o. Determine p(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*x - 58*o + 52*o - 280 = -15*x, 0 = 2*x - 12*o - 158 for x.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-18))\/((-24)\/(-12)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13 - 98. Is l less than or equal to -104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1797, 1798, 1799, 1800?\nAnswer: 1801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**2 - 24. Let c(v) = -149*v**2 - 20*v - 24. Let u(i) = -56*i**2 - 7*i - 9. Let p(s) = -3*c(s) + 8*u(s). Determine p(y(z)).\nAnswer: -z**4 + 52*z**2 - 672","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6469559?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 433308 (base 11) to base 6.\nAnswer: 22501551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -387 - -517. Let w = -130.0000469 + q. What is w rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3.628266 and 29532.\nAnswer: 29528.371734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.76*-1.6.\nAnswer: 1.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 22d (base 15) to base 10\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*u**2 + 4*u**2 + 2 - u**3 + u**4 to the form i + d*u**2 + z*u**3 + m*u + c*u**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2*35.407\nAnswer: 70.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 53*x**2 + 53*x**2 + 72*x**3 - 15*x**3 - 3.\nAnswer: 57*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 304 = -2*p - 283, 6*l + 3*p - 22 = 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 546 and 2002.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2.6  (b) -92315  (c) 4  (d) 3  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) - (sqrt(3) + 0 + 2) - sqrt(108)\/sqrt(4))**2 - (sqrt(864) + sqrt(864) + -3*sqrt(864))\/sqrt(2).\nAnswer: 31 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 103, -4, 34 in descending order.\nAnswer: 103, 34, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 377588\/3 + -7685533\/60. Let r = a - -2230. What is the common denominator of r and (2\/54)\/(2\/57)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11 and 71?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*q = -25552 + 6197. Which is bigger: -16 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-nine fifths of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-13) + 26524\/26. What is the units digit of 4\/(-14) - a\/(-42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -25*h**2 + 8333*h - 394631 wrt h?\nAnswer: -50*h + 8333","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.4822 - -5938.0822. What is i rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1102110 - -102010201?\nAnswer: 100201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 2*x - 4*x - 3 + (1 + 2 - 2)*(-4*x - 2*x + 3*x).\nAnswer: -5*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**2 + 30*c - 79. Let m be s(27). Solve 16 + 3 = 4*u - x, u - 3*x - m = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 20426 and 20426 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 7 - 3 = -i, -4*i - 16 = 3*v. Suppose v*o - 252 = -6*o. What is the greatest common factor of 63 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-260)\/65)\/(((-16)\/(-8))\/2*12\/66)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 + (-22 - 2 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -235*a - 22. Is z(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((j*j**(-3\/7)\/j*j)\/j)\/(j*(j*j**(-3\/7))\/j*j*j))\/(j**5\/j**(-2\/5)))**38)**16 assuming j is positive.\nAnswer: j**(-25536\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {d: 11, c: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1872799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -5*y - 5. Let r be f(-12). Suppose -387 = 2*g - r. Let d = g + 1496\/9. What is the closest to 2\/7 in 4, -0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 5*z + 6 = 0, 15*s - 5*z = 10*s + 30. Suppose -10*i = -s*i - 1020. Calculate the remainder when i is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*h**2 + 4*h**2 + h**3)*(-13*h - 21*h - 9*h) to the form u*h**3 + q + d*h**2 + j*h + x*h**4 and give x.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 != 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 1735, -1, -0.2, -42, -5, 4 in ascending order.\nAnswer: -42, -5, -1, -0.2, 4, 1735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 6*j - 12*j - 8 = 0, -j = -4*x + 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(-95) + 9282\/120042?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -1)\/(10\/15 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2\/3, -69, -6, 0.2 in increasing order.\nAnswer: -69, -6, -2\/3, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 60391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 1)*(21916 - 21837 + c + 2*c).\nAnswer: -3*c - 79","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -360 + 359. Suppose -i + 3*d = -13, -2*i - 4*d + 3 = 7. Which is bigger: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (21\/7 - 8) + 1123?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 399\/(-6)*126\/441?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 4345*x + 38. Let a(c) = -4345*c - 37. Let r(d) = -3*a(d) - 2*l(d). Let k be r(-3). Round k to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a. Let d(b) = 5*b. Let i(t) = d(t) - 4*p(t). Let g(l) = 5*l**2 + 3. Let c(u) = 8 + 6*u**2 - 1 - 3. Let r(k) = -3*c(k) + 4*g(k). What is i(r(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -101203140 + -12?\nAnswer: -101203202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -15980, -31962, -47944, -63926, -79908, -95890?\n\"Answer: -15982*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2692 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes after 11:52 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dj when two letters picked without replacement from dbrdbbrbjjrrjdj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(0 + -6*-1*4*sqrt(468))**2 + 4.\nAnswer: -1617404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -69\/2920880 and 69\/176?\nAnswer: 32129680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 2 = 62. Let x(v) = 5*v**2 - 97*v - 7. Calculate the remainder when x(p) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 148149 and 10?\nAnswer: 1481490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -5 + sqrt(425)*4.\nAnswer: -10 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1021 by -234504.\nAnswer: 1021\/234504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*g**3 - 2016 + 2016.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = 24, 0 = -377*y + 376*y + 2*f + 114. Solve 0 = -13*l + y - 180 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30240 and 160?\nAnswer: 30240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1167 = 12*k + 375. Calculate the remainder when 146 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 2 y when three letters picked without replacement from {y: 3, v: 6, c: 1, k: 2, r: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 PM and 8:26 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the third derivative of -23*y**7\/105 - y**5\/15 - 3*y**4\/4 + y**3\/6 - 589*y**2. What is the second derivative of s(z) wrt z?\nAnswer: -552*z**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1273799898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24868142 divided by 1912934.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3465\/(-4235))\/((-4)\/(-1)). Is 1 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7071, 7078, 7087, 7092, 7087?\nAnswer: 7066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 56565184, 56565183, 56565182, 56565181?\nAnswer: 56565180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, j: 7}. What is prob of picking 2 j?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(-4) - (-1124)\/(-4304). Let p = 13157\/2152 - y. Find the common denominator of 7\/(-2*(-2)\/(-7)) and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/2, 2, -2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.0070274 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -4*u - 354, -5*u - 25 = 4*d - 668. Calculate the remainder when d is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 187667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 9092 + (-49)\/((-784)\/128). What is the greatest common divisor of u and 390?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 102764364 by -4.\nAnswer: -25691091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1997 and -0.11.\nAnswer: -1997.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -182 by -13.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(-4*42\/(-40))\/(62\/(-310))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1170 - 2430*h + 1314 - 3342 + 3049*h + 7654*h wrt h.\nAnswer: 8273","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 47790700 to the nearest integer?\nAnswer: 6913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x + 123. Let g(i) = 35. Calculate 4*g(v) - l(v).\nAnswer: v + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 5*x**4\/2 - 15*x**2\/2 + 5*x = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -220 - 87*g + 265*g - 94*g - 129*g. Let i be a(-5). Solve 0*p = i*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -3*d**2 + 96*d + 111. Let y be l(33). Let o(p) = 17*p**3 + 9*p**2. Let b(t) = -42*t**3 - 22*t**2. What is y*o(x) + 5*b(x)?\nAnswer: -6*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 71130 to the power of 1\/2, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of 0*a**3 + 0*a - 15*a**2 - 15\/8*a**4 - 1. Let r(y) = -y**2. Give u(r(b)).\nAnswer: 45*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -36  (b) -1\/15  (c) -38706\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*g - 3*g + g)*(-748 + g + 745 - 8*g) + (74 + 2*g - 74)*(-g - 5*g + 3*g) to the form u + v*g**2 + b*g and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1071325 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 41269268 at least 41269266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 10) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 325, 8, -4 in decreasing order.\nAnswer: 325, 8, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 33*z - 156 - 273. Solve 0 = z*k + 11*k - 15*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*r, 5*p - 3*r - 27 = -2*r. Suppose -3*g + 5*a + 372 = 0, -9*a = p*g - 4*a - 620. What are the prime factors of g?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -48836\/11 - -4440. Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 1 + 0)*(2 + 3 - 1)*(1723*s + 1795*s - 3612*s) in the form f*s + t and give f.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(98) + sqrt(98)*1 + 5)*-1.\nAnswer: -70*sqrt(2) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 1\/8, -0.3.\nAnswer: -5, -1, -0.3, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 75*f**3 + 45236*f**2 - 350861*f - 9.\nAnswer: 450*f + 90472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times 4471.4?\nAnswer: -447.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-three sixths of a decade?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1045982634 by -6.\nAnswer: 174330439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -553 (base 6) to base 10\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 5*j**4 - 5*j**3 - 50*j**2 - 40*j = 0.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1512852*k - 1512876*k - 336 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (1199\/308)\/((-1)\/2) and 99\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 AM and 9:00 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6.54 - -5.85. What is the second smallest value in r, 1\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4 + 10)\/(-24) - 101\/(-4). Solve 2*a + d = 5*n - 0*n, a - n = -5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**2 + 0*p**2 + 4*p**2)*(1 - 2 - 1)*(-5*p + 0*p + 11*p).\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 3*h - 885. Let r(q) = -302*q - 788. Let i be r(-3). Calculate the greatest common factor of h and i.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 176499081739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 26*k - 2*k + 206 - 208 as b*k + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00611341 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 129 a factor of 1299862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 396 and 612?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b - 12 = 5*a, 2*a - 3 = -4*b + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 1327988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 31*p**3 - 5*p**2 + 301*p + 669. Give v(-2).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 892011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -3*m**4 + 1656*m**3 - 1650*m**2 - 1656*m + 1653 = 0.\nAnswer: -1, 1, 551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1510466693 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010001101 - 11011011111100?\nAnswer: -11100110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.14 - -10.14. Let n = -0.28 + -8.72. Let d = n + h. Which is the smallest value?  (a) d  (b) -5  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88200 (base 9) in base 8?\nAnswer: 162162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 140 in 4, -22, 0.2, -0.3, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from elyar. What is prob of sequence erll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 4*t. Suppose -n + 3*n - 190 = t. Suppose 2*u = -3*u + n. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-134)\/26 - (-6)\/39. Let z(q) = -3999*q**2 + 5*q. Let y be z(g). Round y to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1957 - -1959. Find q such that -w*q**4 + 2 + 3\/2*q**2 + 13\/2*q - 8*q**3 = 0.\nAnswer: -4, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes after 8:32 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -48, 3, -5, 5, -70.\nAnswer: -70, -48, -5, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4\/5  (b) 4  (c) -0.7  (d) 578  (e) -0.056\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r - 3 + 3)*(0*r + 3*r - 2*r)*(2*r**3 - 3*r**3 - r**3) + 365*r**5 + 198600*r**2 - 198600*r**2.\nAnswer: 367*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 49 - 48. Suppose -v - 3*d + 0 = y, -2*d + 21 = 5*v. Which is greater: v or 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14*o*q**4*r + 1596*o*q**2*r - 3*o*q - 3*q + 28*r + 2 wrt q.\nAnswer: 168*o*q**2*r + 3192*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3786402.\nAnswer: 2, 3, 31, 20357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (59633\/153342)\/((-1)\/2)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 23.789078 rounded to three dps?\nAnswer: 23.789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -33 + -45?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (84*h + 78*h - 13*h)*(-1 + 3 - 1 + (2 + 0 + 0)*(-1 - 2 + 2)).\nAnswer: -149*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 265563?\nAnswer: 3, 19, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -10. Let g = -90 + 160. Suppose 0 = -s - 9*s + g. Calculate the lowest common multiple of n and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 - -3.9999925. Round l to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -4*p - 16, 4*p + 16 = 3*d - 0*p. Suppose -128*g + 130*g = x + 9, -3*g = 5*x - 7. Solve -g*f - 12 = -d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6.06984 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -13581914.039 to the nearest one hundred thousand.\nAnswer: -13600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10206886.\nAnswer: 2, 61, 83663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 3*r = -6*h + 1, 5*h - 4*r - 22 = 0. Solve h*z = -15 + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*t**3 + 2*t**3 + 0*t**3)*(12 + 27 + 25)*(-1 + 2 + 29) as u*t**3 + q*t**2 + p + f*t and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q + 32 = 8. Suppose -5*s - 17 = -0*z - z, -q*z - 5*s = -193. Is z a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -6, -0.4, -1\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -23673336 by 83948.\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-11) + (-120)\/(-66). Suppose r*b - 15 - 15 = 0. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*u + 146 = -38. Sort -0.5, u, -44 in decreasing order.\nAnswer: -0.5, u, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1*(-3 - -2 - -5). Suppose 2*j = p + 14. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/(f\/(f**(-7\/5)*f)))**(-36))**(-1\/38))**33 assuming f is positive.\nAnswer: f**(-1188\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 256\/(-18) + (-4)\/(-18). Let x be (-24)\/14 + 4\/s. Suppose -3*m + 8*m - 25 = 0. Which is the second smallest value?  (a) m  (b) 1  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = -w + 21, 4*w - 7 = -3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/(-3))\/(21720\/58644)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30 + -61 - ((-8 - -12) + -10)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -2*j + 2. Let f(t) = -4*t + 5. Let m(g) = -5*a(g) + 2*f(g). Let k(o) = 3*o**2 - 3*o**2 + 2*o**2 - 5*o**2. Give k(m(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:20 PM and 9:32 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p**5\/7 + 3622*p**4\/21 - 23986*p**3\/7 - 194998*p**2\/21 + 53636*p\/7 = 0. What is p?\nAnswer: -3, 0, 2\/3, 23, 583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 12751339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 - -15.7. Let p = h - 0.3. Let g = 5 - p. What is the third biggest value in g, -3, 2\/19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = y - 10, -l + 6*l + 3*y = 16. Let i be 207\/135 - l\/10. What is the closest to 0 in i, 4, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/3)\/((-1)\/(-51)). Calculate the greatest common divisor of 238 and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eveveveeeeeeeee.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3 + 6 + (-50)\/5. What are the prime factors of (2 - m)*(-218)\/(-6)*1?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 32, -1, -2 in descending order.\nAnswer: 32, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t + 5*m + 41, 0 = 3*t + t + 2*m - 76. Suppose -12*y + 1899000 = -t*y. What is y rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100001 - 10?\nAnswer: 1011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29 + -50 - -14 - -37.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -12514*x - 927. Is q(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71*w + 0*w**2 - 9*w**2 + 38*w + 36*w.\nAnswer: -9*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2 + 14*g + 52. Let l be (4 + -1)*670\/(-402). What is b(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**3 + 8. Let r(v) = -1. Let q be 15*(-9 - 371\/(-35)). What is q*r(d) + 3*w(d)?\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/2*(-172)\/258.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 5 + 10 + r in the form k + z*r and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2850 divided by 570\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18\/2 + -17 + 6\/(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 2*b**2 - 18*b + 6. Let f be x(8). Let u be 5*((-1)\/f)\/((-8)\/(-32)). Let g(k) = 21*k**3 - 5*k. Let o(a) = 10*a**3 - 2*a. Give u*g(l) - 5*o(l).\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.537671 - 2.564. What is k rounded to 4 dps?\nAnswer: -0.0263","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2083*d**4 + 1253*d**2 wrt d?\nAnswer: 49992*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -113*k + 109*k = -8. Suppose 2761 + 263 = k*m. Does 84 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.64 and 104.\nAnswer: -66.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13 - -16. Which is the third biggest value?  (a) s  (b) 2\/3  (c) -5  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.5 + 36.5. Let r = 40.3 - w. Let p = r - 0.8. Sort -2\/3, p, 0.4 in descending order.\nAnswer: p, 0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-3\/8))**(-11\/6)\/(t**(-14\/5)*t**(-4)) assuming t is positive.\nAnswer: t**(599\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 1. Let m(i) = i - 4. Let c be 4\/(-10) - 3*21\/(-45). Calculate c*m(o) + 5*z(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xt when two letters picked without replacement from {t: 1, x: 2, u: 2, s: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 0.1  (b) -4  (c) -0.5  (d) 124\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -7*g. Suppose -9 + 6 = -3*v. What is i(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 8810648 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 279928962?\nAnswer: 2, 3, 15551609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - x + 1785465 = p, 0 = -3*x + 2*p + 1785483. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7271*i**2 - 2 - 7272*i**2 + 2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -123*r = -110*r - 143. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**3*m**(-2\/7)*m)\/(m**1)**(1\/5))\/((m\/(m\/(m*m\/(m\/m**0*m)*m))*m)**41*(m**3\/m)\/((m**(-2)\/m)\/m)) assuming m is positive.\nAnswer: m**(-2957\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38 is divided by 4\/(-10) - (-335)\/25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 7*h**2 - h + 1185. Let y be (-2)\/4*1*0\/(-49). List the prime factors of r(y).\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.04 and -0.099332 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h. Let c be x(-3). Let r be (-1)\/c + (-10)\/(-3). Find the first derivative of 0*g**r - 3 + 2*g - 2*g + g**3 wrt g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (7252\/(-8880) - (-6)\/8)*-12?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*p + 22 + 2 = 0. Let j(d) be the first derivative of 14*d + 0*d**3 - 31\/4*d**4 + 0*d**p + 10. What is the first derivative of j(v) wrt v?\nAnswer: -93*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of u**3 + u**2 + 38146*u + 79126.\nAnswer: 3*u**2 + 2*u + 38146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q*q**(-3\/5))*q)**26\/((q\/(q\/q**3))\/q)**(-4\/5))**(-2\/9) assuming q is positive.\nAnswer: q**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from ludlulddlllldlul?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 532584 and 53486.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10169909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.002 - 0.098. Let o = 6.7 + -7. Which is the closest to 1\/4?  (a) o  (b) 5  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6*1*1)\/((-46)\/138*(-150)\/10).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 2*k**3 - 6*k**2 + 4*k + 5. Determine c(4).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 3*c - 2. Suppose 5*w - 4 - 6 = 0. Let h be b(w). Suppose 2*z - h*z + 38 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of o**4\/4 - 4*o**3 + 6*o**2 - 6*o + 11. Let i be z(11). What is the second derivative of 106*g - 210*g + i*g**2 + 109*g wrt g?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**2 + 4*v - 1. Let k(j) be the third derivative of j**4\/24 + 24*j**2. Determine 2*f(a) - 6*k(a).\nAnswer: -2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 501 a factor of 740631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/109830 and -107\/3239985.\nAnswer: 6479970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3028278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 187 and 1207.\nAnswer: 13277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0 - -559996 - -2) + 2. What is y rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001134876222 rounded to 5 dps?\nAnswer: 0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, l: 2, t: 4, b: 1, q: 1}. Give prob of sequence vq.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17367 is divided by 792.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by 75648855?\nAnswer: 2\/25216285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-5) - (-1)\/(-1). Suppose 9367*j - 9346*j = 63. Which is the nearest to 2?  (a) -8  (b) h  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 244820.4 millilitres?\nAnswer: 244.8204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5739 + 6106. Solve 2*f + 359 = o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, t: 5, e: 7, z: 3}. Give prob of sequence tt.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 0 - 7 + 3 - 2 - 2*f. Calculate the least common multiple of m(-7) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 531345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -4, -8, -16, -28, -44, -64, -88?\n\"Answer: -2*g**2 + 2*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -6  (b) -38\/39  (c) 1  (d) -0.024  (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 8.444?\nAnswer: -33.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes after 1:35 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1422659 to the power of 1\/2, to the nearest integer?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -58*d + 30*d - 28*d**2 + 28*d.\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 22 - -1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 5*q - 3*v - 18, 3*q + 14 = -5*v. Let g(n) = 2*n + q*n - 6*n - n. Let s(o) = 4*o**2 + 3*o**2 - 5*o**2. Determine g(s(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**3 + 4*z**2 + 1. Let u be l(4). Suppose 2*s + 3*k + 10 = 3*s, -11 = 4*s + 5*k. Calculate the greatest common divisor of u and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 146105181 to the power of 1\/3, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 569 is divided by 29?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3\/2  (b) 51  (c) 1.61  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 60234*m**2 + 79582?\nAnswer: 120468*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-135)\/18)\/(((-36)\/(-30))\/(15\/(-50))).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*((-3)\/(-63))\/(4\/(-12))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide ((1 + -4)*(-1)\/(-9))\/(1\/(-17499))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -452.83 and -41.08485166?\nAnswer: 411.74514834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(275) + 1.\nAnswer: 1 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 5*b + 2*g, -5*g + 3 = -7. Let w be b*(-1 - -3 - 8). Find z, given that -w*z + 27\/2*z**2 + 6 = 0.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 921*k - 5054 = -7504 - 11365 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/26 + (-693)\/(-5434). Let a = 103\/418 - o. Let j = 6\/275 - -9296\/2475. What is the common denominator of j and a?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 64*a + 6019. Let w be j(-94). Suppose -c + 1\/4*c**4 - c**2 + 1\/4*c**w + 0 = 0. What is c?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-9)\/(-68) - (-48)\/64) + -1. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**2 + m + 1. Let j be d(0). Let u be j\/(-3*2\/(-12)). Suppose 9*l - 8*l = u. Solve -l*p = -6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8306 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/50 of a kilometer?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -609 + 347. Let x = -76 - s. What is the common denominator of 7\/12 and x\/(-4) - (-3)\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -894 by -447.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/((((-35)\/(-14))\/1)\/20).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 171261 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -14*s - 7. Let c(o) = -o**2 + 4 - 9*o + 0 - 6. Calculate the remainder when h(-2) is divided by c(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 361*m - 3*w = 356*m - 11, 0 = 2*m - 4*w + 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -232550?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -470 + 467. Calculate the lowest common multiple of 12 and 2 + -11 - a - (-20 - 10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 246\/11 + -6216\/275. Which is the third biggest value?  (a) 0  (b) l  (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12604400 and 640.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -14820 divided by 3705?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.13 + 0.04. Let y = -0.03 - l. Let n = 1.9 + -2.9. What is the closest to n in 1\/8, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 17*y + 1. Let v(z) be the second derivative of z**7\/360 + 73*z**4\/3 - 32*z - 2. Let n(g) be the third derivative of v(g). Calculate x(n(u)).\nAnswer: 119*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 13979*c**3 - 648*c**2 + 1 wrt c?\nAnswer: 83874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(4032) - 2*sqrt(4032)*2) + ((0 + sqrt(343))*6 - (1 + sqrt(343))*-6))**2.\nAnswer: 144*sqrt(7) + 1042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 3*x - 10, -2*x + 14 = -s - 2. Solve -2*l + 2*f - 6 = 0, x - 3 = -3*l + 4*f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -5*z**2 - 9*z - 10. Let r(y) = -4*y**2 - 10*y - 8. What is -3*k(g) + 4*r(g)?\nAnswer: -g**2 - 13*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*t + 4*t = -33 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4661806 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from {z: 4, g: 7, d: 6, n: 1}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/(-2 - 378\/(-186)). Let j = -5 - -14. Suppose -n = -l - j. Calculate the remainder when 65 is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 10 - (-3 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 104 * 10.456\nAnswer: 1087.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2520 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the third derivative of 5*x**8\/2016 + x**7\/252 - x**6\/72 - x**5\/36 + 5*x**4\/144 + 5*x**3\/36 + 7*x**2. Find m, given that q(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 5*o + 55, -34 = -3*a + 5*a + 4*o. Let j = a - -17. Find the common denominator of -73\/9 and -3 + -1*16\/(-33) + j.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 - 3. Let t(c) = c**2 - 1 + 1 - c + c**3 + p. Suppose -g = -0*g. Give t(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15*u + 96*u**2 + 101*u**2 - 193*u**2 - 2*u**2 + 3*u - 3*u + (-u + 4*u - 5*u)*(-2*u + 3*u + u).\nAnswer: -2*u**2 + 15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -10801 divided by -2\nAnswer: 10801\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 8255 + -11?\nAnswer: 8244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (((-5)\/(-34))\/5)\/((-60)\/174). Let j be ((-1)\/4)\/(1*17). Let r = j + y. Which is the second biggest value?  (a) -3  (b) r  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 3:49 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 124282301.\nAnswer: 11, 13, 877, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4030 and 862823?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the third derivative of -p**6\/120 - p**5\/15 + 5*p**4\/8 + p**3\/6 - 15*p**2. Let j be m(-7). Let q = -35 + j. Solve -2*y = -6*y - q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 167636996.171245 - 167637897. Let x = -878.8288 - n. Let j = x - 22. Round j to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 7057 = -2*w, -20 = 5*u + 5. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**3 - 33*a**2 + 490*a - 242. Let g be k(-45). Solve -10*p - g + 2028 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 578?\nAnswer: 578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-12)*3)\/((-2)\/(-18))*(-18316)\/4338.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 174 = 3*d + o, 0 = -5*d + 2*o + 287. Let w = d + 23. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/9, -1\/4, -111934, -0.2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -614 - -4.1.\nAnswer: -609.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.021476460616 rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w - 4. Let c be h(6). Suppose -m - 11 = -c*m. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*((-7)\/((-6020)\/(-80)))\/(-8 + -5 + 9).\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 6, n: 5, a: 3, j: 1, p: 3}. What is prob of picking 3 p and 1 t?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the first derivative of -x**4\/4 - 4*x**3 - 3*x**2 + 36*x + 656. Give m(-11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 289047 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2097689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 24070 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2135806?\nAnswer: 2, 1067903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -4 + 3*m - 4 + 2*m**2 + 0. List the prime factors of a(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6570?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + 2*l - 6. Let r be ((-15)\/(-6))\/(l\/(-4)). Suppose 0 = 2*x - n - 65, r*x + 4*n - n - 179 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35457968 a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/8)\/(8\/16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 584170.11 milliseconds in hours?\nAnswer: 0.162269475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 AM and 12:21 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -153\/14 + 27\/2. Determine c so that f*c**3 - 18\/7*c - 4\/7*c**2 + 4\/7 = 0.\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 29.388 to 0 decimal places.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the third derivative of -h**4\/12 + 61*h**3\/6 - 1331*h**2. Let i(m) = -33*m**2. Calculate i(s(v)).\nAnswer: -132*v**2 + 8052*v - 122793","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**2 - d. Let y(h) = -4*h**2 - 3*h - 1. Let l(q) = 5*v(q) - y(q). Let j be l(-3). Let g be (4 - j) + (2 - 4). Solve -g = -6*m + 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 314\/(-2)*(-4 + 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 - 2*y**2 + 4*y + 10. Determine b(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m - 2 - 2*m**3 - 4*m**2 + 3 + 7*m**2. Let k(g) = g**3 + g**2 + 23*g - 23. Let f be k(1). Calculate u(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 41, 8, 2?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*z**3 + 3*z - 2*z + 14976 - 14977 in the form x*z**2 + v*z + u*z**3 + c and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, a: 2, p: 1}. What is prob of picking 1 p and 2 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does -1 = 565.97693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3589*l**2 - 29263*l + 35286*l + 472*l**2 wrt l.\nAnswer: -6234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - 354?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 18 = 3*k, 2*c = 6*c + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2289, 1, 4, 2, -2, -4.\nAnswer: -2289, -4, -2, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the first derivative of -n**4\/4 - 8*n**3\/3 - 4*n**2 - n + 6. List the prime factors of x(-8).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 - 0.1. Let o = -27 + 26. Which is the nearest to o?  (a) -0.5  (b) u  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4849.441 millennia in months?\nAnswer: 58193292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 13*n + 62. Let a be l(-5). Let r(g) = g - 5. Let y(h) = -h + 3. Let m(x) = a*r(x) - 5*y(x). Let q(v) = -2 + 2 - v. Give m(i) + 3*q(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(2\/3)\/b)\/b**1*b**(1\/5)\/(b*((b**1\/b)\/b)\/b) assuming b is positive.\nAnswer: b**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 4*(1 + (sqrt(539) - -1*sqrt(539))*1)*-1)**2*-4.\nAnswer: -137988 - 448*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the second derivative of -1\/2*o**2 + 1\/3*o**3 - 3*o + 0 - 1\/12*o**4. Let y(x) = 0. What is x?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2, -15, 2 in decreasing order.\nAnswer: 4, 2, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, n: 1, z: 4, b: 4, d: 3}. Give prob of picking 2 b and 1 z.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - 0)\/(10 + (-88)\/11). Let k(b) be the first derivative of 1\/32*b**4 - 13 + d*b + 9\/16*b**2 - 1\/4*b**3. Factor k(w).\nAnswer: w*(w - 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -100939.7, 1\/9, -0.1 in ascending order.\nAnswer: -100939.7, -0.1, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**3 + 3*u**2 + 2*u - 3. Give n(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of a**3*l*n + 188305*a**3*l + 3*a**3*u + 1031*a**2*l*n + 2*a**2*l*u - a**2 + 2*a*l*n*u + 3*a*l*n - 8*a*n - 2*n*u wrt a.\nAnswer: 6*l*n + 1129830*l + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -1\/307409?\nAnswer: -1\/307409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((666\/555)\/((-12)\/560))\/2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 2*r - 19 = -7, -5*r + 17 = -3*z. Let l = z - 0. Let n(a) = a**2 - 10*a - 115. Let g be n(17). Solve 2*c - 3*m = g, 3*m - l = -3*c + 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (16\/12)\/((-2)\/(-3)). Let p(r) = r**3 - 2*r - 1. Let q be p(2). Suppose 0 = v - q*v + l. Let m(c) = 2*c - 1. Give m(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 200*o**3*y + o**3 + 185*o**2*y - 137*o**2 + 40*o - y wrt y.\nAnswer: 200*o**3 + 185*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 32816335.54 to the nearest 100000.\nAnswer: 32800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyllkyyyxexyykaaalyl. Give prob of picking 1 k and 1 x.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2*2\/4*9. Let h = v - -20. Suppose x = 3*r + 6, -h = -x - 4*x - 4*r. Solve 3*f - 3*a + a - 18 = 0, x*f - 4*a = 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -227 + 229. Find the third derivative of 88*v**5 - 9 - 27*v**2 + 23*v**y + 0*v**5 wrt v.\nAnswer: 5280*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the third derivative of -8*j**7\/105 - 5*j**4\/3 - 49*j**2. What is the second derivative of l(f) wrt f?\nAnswer: -192*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10861560 is divided by 417.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j - 4. Let c be a(-4). Suppose c*d = -d + 18. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 80647, 3, -10 in decreasing order.\nAnswer: 80647, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 12) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1\/3)\/(2 - 1). Let g = 0.4 + -0.3. Let m be (-5)\/(-3) + (-2)\/3. What is the closest to q in g, 3, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1313228852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w - 3. Give k(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19*y**3 - 4*y**3 - 2 + 3*y**3 to j*y**3 + h*y**2 + t + k*y and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.166 * -3\nAnswer: 0.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -13*s - 6*s**3 + 24*s - 4*s**2 - 21*s - 3. Let z be a(-4). Let m = 278 + z. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 4*q = 214, -5*w - 6*q + 4*q = -583. Is w\/1 + -2 + 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (((-1*sqrt(175))\/sqrt(5))\/sqrt(7))**2 - -2*(sqrt(45) + 3)**2*1.\nAnswer: 36*sqrt(5) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 3*v = -4. Let z(h) = -h**2 - h. Let u(k) = -2*k**2 - k. Determine v*z(s) - 3*u(s).\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -23 + -25. Let f = r + 8. Let h = f + 43. Which is the second smallest value?  (a) 2\/9  (b) h  (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:08 PM and 4:46 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -12*o**2 - 188*o + 115. Give n(-18).\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10465 + 219853\/21. Let q(p) = -3*p - 7. Let k be q(-3). Find the common denominator of (-537)\/99 + 3\/(3 - k) and r.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 396 is divided by 41?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1366585 is divided by 65.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, h: 1, i: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -12160 and -0.028.\nAnswer: 340.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g - 104*v = -99*v + 9, g - v = 7. Sort -14, 1, -1, 12, g in decreasing order.\nAnswer: 12, g, 1, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 9 = -1. Suppose 4 + 0 = b*j. What is the highest common factor of j and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of j**2 - 194*j + 1117?\nAnswer: 2*j - 194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 0.2, -0.5, 0.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 5*h + 1, -3*i - 7 = 2*h - 0*h. Suppose h + 0 = -4*m + l, -5*m - 2*l + 15 = 0. Let y be 7\/6*54\/(-168). Is y > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2031347 (base 8) to base 4.\nAnswer: 2003023213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-480)\/6000 + 8476\/325.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 509*k + 78*k**2 - 60 - 509*k with respect to k.\nAnswer: 156*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-one quarters of a kilometer in meters?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -78, -333, -760, -1359, -2130, -3073, -4188?\nAnswer: -5475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w**4 - 4 + 2 + 1)*(-5*w - 18 + 18).\nAnswer: -10*w**5 + 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -21513660, -21513661, -21513662, -21513663?\n\"Answer: -k - 21513659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aee when three letters picked without replacement from eaoeoooho.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120) - (sqrt(120) + (sqrt(120)*1 - sqrt(120)) + sqrt(120)))\/sqrt(6))\/(sqrt(64)*-4).\nAnswer: sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 22858109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-4 + (0 - (-54)\/(-12)) + 6)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 25400 to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 135 + -63. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(-2) + 3 + -1. Let a(w) = 1 + 3 + c*w - 1 - 2 + 4*w**2 + w**3. What is the units digit of a(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 51685016?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -169562497 at least -169562496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x**5 + 1824*x**4 - 14500*x**3 + 32544*x**2 + 54*x - 48816 = 0. What is x?\nAnswer: -1, 3, 904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -149\/7 in -0.1, 24871, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that 2*z**3 + 1690*z**2 + 352756*z + 698768 = 0.\nAnswer: -476, -367, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 89, 182, 277, 374, 473, 574?\nAnswer: 677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -78*d - 13641. Determine v(-175).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 30.46575l in millilitres?\nAnswer: 30465.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -888393 times -2?\nAnswer: 1776786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 353986904 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -683*v**3 + 9 - 9.\nAnswer: -683*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the first derivative of -m**6 - 20*m**3\/3 + 27. What is the third derivative of u(v) wrt v?\nAnswer: -360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 96*b - 7. Let n be f(-14). Let y = -921 - n. Round y to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 120 + -11001202211222?\nAnswer: -11001202211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, i: 1, z: 2, p: 1, n: 2, t: 1}. What is prob of sequence xiz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y - 4. Let t(f) = f**3 - 3*f**2 + f + 4. Let h be t(3). What are the prime factors of w(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*u + 2*u + 60. What is the nearest to 0.1 in 1, 1.2, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 508659*o**2 - 254827*o**2 - 253931*o**2.\nAnswer: -99*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -204134 = -8*x - 47902. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 338 + -339. What is the nearest to -1 in 8, 2\/13, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54349659 to the power of 1\/2, to the nearest integer?\nAnswer: 7372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 126 = -6*j + 462. Let x = -63 + j. Let u be ((4\/(-5))\/1)\/1. Put u, x, -0.2 in decreasing order.\nAnswer: -0.2, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -42*h + 2. Let u be y(1). Let d be (-10)\/34*16\/u. Which is the third smallest value?  (a) d  (b) -2  (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 493 and 84541.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**2 + 3*b. Suppose -5 = -o, 4*o + 7 = h + 5*o. Suppose -h*c - c = 0, -5*k = 4*c + 30. Let n = k - -3. Determine i(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 156 = k, 0 = p - 2*p + k + 28. Let l = -3 - -7. Suppose 0 = -5*m + l*m + 8. What is the highest common divisor of m and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 8 = 4*q, 4 = g + 2*q - 5*q. Suppose f - 1 = 2. Let l be ((-5)\/(-2))\/(f\/6). Solve 2*p - g = -l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 107 or 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.1, -8, 0.34344, -3?\nAnswer: 0.34344","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 1171*g**2 - 2549*g - 2547*g + 5096*g as b*g + m*g**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*g + 27 = 17*g, -5*t = 7*g - g - 74 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.6633 - -0.0533. Let t = -4.39 + i. Which is the nearest to 7?  (a) 4\/9  (b) -1\/2  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3078 + 1365. Let o be (-4 + 1)*(2 - 3). Suppose -q = o*z - 11793. Round z to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -12455022.000085 - -12455061. Let c = 39 - h. Round c to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, -2\/11, -31\/4243, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -3*a**2 - a + 6. Let y(d) = 24*d**2 + 9*d - 48. Let g be 490\/15 - 4\/(-12). Let z(q) = g*c(q) + 4*y(q). Let z(p) = 0. What is p?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 60 by 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 17, m: 1}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a century in decades?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 9:32 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 2*x + 2 = 0, -5 = 3*f - 6*f + 5*x. Suppose 6 - 16 = -5*o. Let w = f + o. Solve -8 = 4*b - w*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence auu when three letters picked without replacement from uaaauauaaa?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 + 8. Let u = -26.6 + 27. What is the third biggest value in v, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h + 0*h + 50*h**3 + h**3.\nAnswer: 51*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 2*d. Let l(p) = 8*p + 5. Let m = -7 - -12. Let y(a) = -17 - 39*a - 4 + 10 - 13. Let r(w) = m*y(w) + 24*l(w). Calculate h(r(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 343231796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand p**4 - 3*p**4 + 3*p**4 + (2*p**2 - p + p)*(0*p**2 - p**2 + 0*p**2) + 3*p - 3*p**4 - 3*p.\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 727569.4ml in litres?\nAnswer: 727.5694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69091 is divided by 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1350703416912 + -287116323925521205\/212568. Let o = b + 3\/17714. What is the common denominator of o and 88\/(-720) + (-6)\/(-15)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -20577 * -0.5\nAnswer: 10288.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes before 11:34 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*n = -5*n - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 z when three letters picked without replacement from oxoozyyosrys.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 0, -0.6, 0.96, -2\/229?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 20 = 4*n + 7, -n - 5 = -4*j. Let f be ((-1)\/n)\/(32\/(-112)). Are 2 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 375396 by -2.\nAnswer: -187698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = 4*l - 6, 4*m + l + 13 = 21 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1627 is divided by 531.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 68 + -41. Suppose 2*z - 208 = -3*k, l - 203 = -2*z + 5*k. Suppose a - 3*a = -4*g + z, 0 = g + 2*a - 27. Solve 3*b = 2*r + 5, -5*r + 0 + g = 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2c2c (base 13) to base 9.\nAnswer: 8767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -63.96 + 63.987986. Round d to 4 decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -13*w. Let c(o) be the second derivative of -o**3\/6 + 11*o. Determine q(c(b)).\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1461*q - 39372 = 303*q for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1221001110 (base 3) to base 7.\nAnswer: -215430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 14\/(-4)*-2 - 2. Let z be a\/(-1)*168\/(-40). Suppose -1 = -5*x + n - 0, 5*x - z = -4*n. Solve -4*q - 3 = x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 140\/(-225) - 4\/(-10). Sort d, 2, 0.\nAnswer: d, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8557855049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 17.05021 - 0.14721. What is t rounded to 0 dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3472290 and 1107.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 + 6)\/(-132)*(1 + 1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - -1. Let q = 283 + -422. Let g = 141 + q. Put r, 4, -5, g in increasing order.\nAnswer: -5, r, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16\/8 + (0 - (-140)\/(-63))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.95632 - -1.96. What is i rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 24 + 12 + -7.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1171 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1, 377, -5, -340 in descending order.\nAnswer: 377, 1, 0, -5, -340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -24 * 486\nAnswer: -11664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 268229 and 57070.\nAnswer: 2682290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-12)\/70)\/(30\/100). Which is the closest to 2?  (a) -1\/8  (b) g  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2122101012020 (base 3) to base 12\nAnswer: 579050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/(-25) - 76\/20)*28\/(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 - -6. Solve -14 = -4*f - 2*d + 8, -d = -b*f + 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (22*r - 4*r + 29*r)*(-207 - 243 + 131) in the form s + k*r and give k.\nAnswer: -14993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*h**2*r**3 + 6*h**2 + 13*h*r + 2*r**3 wrt h.\nAnswer: -4*r**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -3976 divided by 28\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 372431363 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -3*b**2 - 2*b - 24. Let k(t) = 1756*t. Give m(k(h)).\nAnswer: -9250608*h**2 - 3512*h - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 85.61337 millimeters in micrometers?\nAnswer: 85613.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 523206 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 339 = 4*r + 179. Calculate the greatest common divisor of 152 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 373554 is divided by 5489.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the third derivative of 0 + 0*a + 1\/120*a**6 + 1\/60*a**5 + 9\/4*a**4 - 1\/30*a**7 + 5*a**2 + 0*a**3. What is the third derivative of t(p) wrt p?\nAnswer: -168*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19744792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from ttwdtwtttkttitj.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 14*o - 48. Let p be l(8). Suppose 3*h = 2*v + 1720, -3*h + 11*v + 1748 = 16*v. Calculate the greatest common divisor of p and h.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times -10826469?\nAnswer: 43305876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 28535 at least 28424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = u - 1. Solve 1 - u = -2*t, 2*g + t = 11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-40)\/(-6)*45\/30)\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes after 12:22 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 22008, 22007, 22004, 21999?\n\"Answer: -i**2 + 2*i + 22007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8\/(5\/(60\/8)). Suppose 0*p - l = -4*p. Let t = 73 + -364\/5. Put 2\/11, p, t in decreasing order.\nAnswer: p, t, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2932966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 3*k**3 - 20*k**2 + 17*k - 1. What is the remainder when 157 is divided by d(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 + m + 3*m + m - 2*m + (3*m + m - 5*m)*(-2 - 1 + 1) + 3*m - 2*m + m + 5*m - m - 2*m + (-16*m + 73*m + 13*m)*(-1 - 4 + 3).\nAnswer: -131*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 - 3*p**2 + 6*p + 2. Suppose -u = -4*u - 66. Let l = -16 - u. Suppose -k = -2*b + l, 4*b = -k + 7*b - 7. What is c(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {v: 7, o: 1, g: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/((3 - 1) + -7 - -4). Let f be a*(-8)\/36*-3. Let r(k) = -k**3 - 3*k**2 + 2*k - 3. Give r(f).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-4)\/(-16))\/(-1)*-92. Suppose 5*z = k + 4*z - g, k = -2*z + 29. What is the remainder when 99 is divided by k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 2 + 9 + 8*u - 4*u**2 + 3*u**2. Let v be f(9). Solve v*g = 1 + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((v**(-5)*v)\/v)\/v*v)\/v)**(2\/13)*v\/(v*v**(8\/7))*v**1\/v)**(7\/3) assuming v is positive.\nAnswer: v**(-188\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/959 and -14\/76583.\nAnswer: 536081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 divided by 30588.\nAnswer: 13\/15294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the second derivative of -b**6\/10 - 9*b**5\/20 - b**4\/4 + 3*b**3\/2 + 3*b**2 + 284*b. Determine m so that h(m) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 243.6 - 244. Which is the closest to -1\/2?  (a) -3\/10  (b) y  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3*(-1 - -2) - 19)\/(177 - 175)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5a (base 11) to base 5.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 4*c**3 - 6*c**2 - 9*c - 7. Let o(t) = 2*t**3 - 3*t**2 - 4*t - 3. Let r(q) = 9*o(q) - 4*x(q). Determine r(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, n: 1, c: 2, o: 2, a: 1, z: 1}. What is prob of picking 1 c, 1 a, 1 o, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 4 = 6*a. Let j(x) = x**2 - 6*x - 5. Let s be j(6). List the prime factors of (-9)\/a*(s + -3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/2 - (2 - 1). Suppose -j = 2*t + 11, 0 = -0*j - 4*j + t + 1. Sort j, -5\/2, o.\nAnswer: -5\/2, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the second derivative of 0*c**4 + 1\/11*c**2 - 2\/33*c**3 + 1\/55*c**5 - 10*c - 1\/165*c**6 + 0. Find x, given that g(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.7 - -3. Let v = -1 + d. Which is the nearest to 0?  (a) -3  (b) 0.5  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * -99.\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 2.5, 24, -1\/20, -1\/3 in decreasing order.\nAnswer: 24, 2.5, -1\/20, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 3 = -b, 2*t - b + 2 + 1 = 0. Suppose -7*c + 0 - 28 = t. Does 10 divide (-2 - 4\/c)*(-164)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 410 a factor of 1620320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 23\/((-3360)\/(-10048) - (-1 + 8\/6)) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g**(-9)*g*g*g**(-4)*((g\/(g\/(g*g**(-2\/3)*g*g*g)))\/g)**(1\/7) assuming g is positive.\nAnswer: g**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-4\/19)*x)**(-2\/47)\/(x**(-1\/14))**(2\/21) assuming x is positive.\nAnswer: x**(-3517\/131271)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 340768 and 127788.\nAnswer: 1022304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 156 divide 28439919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/50*(25\/(-9))\/5.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*p - 4, 3*j - 1 = 4*p + 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 42 - 22. Suppose v*n = 14*n - 30. Let j(z) = -z - 8. Give j(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 8227, 0, 25?\nAnswer: 8227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12780)\/10863)\/((-4)\/102).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the first derivative of 3*k**5\/25 - 9*k**4\/10 - 330. Factor q(j).\nAnswer: 3*j**3*(j - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 148 + -143. Suppose 4*x + 5*n - 1195 = 0, -x = -3*x + u*n + 575. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-1 + 0 + 3)*(2 - 2 + z) - 10090 + 10090 - 1848*z)*(3*z**2 - z**2 - 4*z**2) in the form i*z**2 + s + r*z + a*z**3 and give a.\nAnswer: 3692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 701*w**2 - 601*w**2 + 147*w**4 - 1819*w**2 + 747*w**4 wrt w.\nAnswer: 21456*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 18160 by -398.\nAnswer: -9080\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 1 = -185\/4897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 116763016 + 0?\nAnswer: 116763016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 - -6 - (-8 + 6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 + -31?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 56117 and 4046?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7 + 48ef?\nAnswer: 48f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -148, -139, -134, -133?\n\"Answer: -2*o**2 + 15*o - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0  (b) 4\/67  (c) -1\/3  (d) -1  (e) 12\/65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (16 + 24 - 28)*(32*b + 26*b - 55*b) as j + m*b and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 35678548 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16 and 1858.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*y - 4859 + 11789. Let o = 2296 + y. What are the prime factors of o?\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11001010 (base 2) to base 7\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14 + (-110)\/10)*(-204)\/(-24)*40\/(-30)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -16*(-6 + 69\/12). Let g(o) = o. Give g(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 7\/6 of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1892159*f - 944623*f - 947542*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9 - 4 - 7)*(-3 + 3 + 2*b**3 + (-4 + b**2 + 4)*(5*b - 3*b + 0*b) - 3*b**3 + 5*b**3 + 0*b**3) to o*b**3 + k*b**2 + s + d*b and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.024 - 8.176. Let w = 4.2 + k. Let m = 2\/135 - 32\/135. What is the third biggest value in -5, m, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -339, -338, -337, -336, -335, -334?\n\"Answer: n - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 18932705?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4*l**2*w - 18*l**2 - l*w**4 - 3 wrt w.\nAnswer: 4*l**2 - 4*l*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 724 = 72*m - 152 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 5 - 59 = -2*h, -33 = -2*h - 5*d. Suppose 2*z - 466 = -2*g, z - 229 = 25*g - 28*g. Calculate the remainder when z is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -293 + 287. Sort m, 3, 22 in descending order.\nAnswer: 22, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 977.31*0.05\nAnswer: 48.8655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12688 - 12685. Factor 1\/2*k**d - 2*k + 1\/2*k**2 - 2.\nAnswer: (k - 2)*(k + 1)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c - 3 + 9. Let q be c\/(-8) - (-14)\/8. What are the prime factors of (16 + -3)*q + -3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -73*g**5 + 3*g**4 + 21*g**2 + g + 2?\nAnswer: -4380*g**2 + 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 3*g**2. Let o(j) = -21*j**2 + 5*j. Let n(u) = -11*u**2 + 2*u. Let c(i) = -10*n(i) + 4*o(i). Calculate c(y(r)).\nAnswer: 234*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**3 - 7*w**2 + 12*w - 9. Let d(y) = -2*y**2 + 8*y + 5. Let m be d(4). Let s be i(m). Solve -5 = -4*x - s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -11240 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -c + 3*m - 3, 8*c - 6*c + 6 = 3*m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18 - (-5 - ((-19 - 17) + 2))) + -18.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 332 + -330. Solve w*v - 1 - 5 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 + (14 - 19) + 12 + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000024258 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*r = -91 + 401 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5670 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.169623 litres to millilitres.\nAnswer: 6169.623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-179 - 139*p + 179)*(1 + 0 + 1) to the form k*p + n and give k.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19305498 is divided by 4826354.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 4*k + 16 = 0, -4*k + 0 - 4 = 0. Calculate the greatest common factor of b and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -2*k**3 - 3*k**2 + k - 13. Let w(n) = n**3 + n**2 - n + 6. Let c(g) = -6*t(g) - 13*w(g). Let d(i) = -i**2 + 7*i + 6. Let l be d(7). Determine c(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 minus 159?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = -5*y + o, 8*o - 171 + 36 = -4*y + 37 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1842 and 111702?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -56, 3, 4, 7 in increasing order.\nAnswer: -56, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + -6.4. Let i = -735.8 - -736. Which is the third biggest value?  (a) i  (b) z  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*q - 14*q = -3. Are -1 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**2 - q + 6. Let n be c(0). Suppose 4*f + 37 = 5*u, f + 17 + n = 4*u. Is f\/(-9)*127*9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = t - 488 + 397, -3*t + 262 = 4*d. What is the remainder when t is divided by 51 + -2 + 2 + -1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/2*0\/(-2). Let t = -3 + 0. Let l = x + t. Let o(c) = -c**2 - 5*c - 4. What is o(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 334457457?\nAnswer: 3, 73, 1527203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -39 - (-960)\/(1290\/43).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0, -5, -421 in increasing order.\nAnswer: -421, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 58553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -25686202 and 0.3.\nAnswer: -7705860.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {a: 3, n: 4, d: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + d = -6 + 14, 5*d + 14 = 4*k. Let h(x) = 7*x**2 + 3*x + 18. Does 36 divide h(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -92 + 92.29. Round u to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 467*d + 2 - 464*d - 4.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2344 = 7*k - 6887. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18 - 7. What is the remainder when 9 - (-11 + 16) - (-144)\/3 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 43280 - 18*d - 43280 - 128*d in the form m*d + z and give m.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 197675673?\nAnswer: 3, 13, 293, 17299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 28 + -28.078. Let d = g + -3.022. Let r = d - -3.100004. What is r rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 39773142 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -j + 1. Calculate the common denominator of -67\/2 and -1 - j\/(-20)*50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**2 - 11*u + 10. Suppose -5*k - 17 = j, -6*k - 20 = -2*k. Let i be j + 0 + -2*(-2 + 1). Determine z(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from nnuuvvunvnssssuu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*d - 2, 12*d - 13*d - 4 = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1528 + -1533.86. What is the third biggest value in -0.3, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6\/29 + 383\/2552. Let j = k + -281\/88. What is the common denominator of j and 1340\/(-16)*((-93)\/45 + 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*-6935.784.\nAnswer: -3467.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02231943 rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 + 2 = -c. Let p(g) = g**2 + 12*g + 12. Let l be p(c). Is (7505 - (-4 - l))\/(2 - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20410694 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and 150338.5.\nAnswer: 751692.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-w - w + 3*w)*(-5 - w + 5) in the form d*w + i*w**2 + a and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3223333301 (base 4) to base 5.\nAnswer: 221413031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/2 of a meter in centimeters?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.01 - 0.09. What is the nearest to 0 in 3, -0.03, n?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 4 + ((sqrt(350)*-2*1 - sqrt(350))\/(sqrt(128)*1 + sqrt(2) + sqrt(2) + sqrt(8)*-2))**2.\nAnswer: 175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 85616 to the power of 1\/2, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (8\/18)\/(50\/225)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of 1\/3*v**3 - 18*v + 0 + 0*v**2. Let t(h) = -13*h**2. Give q(t(n)).\nAnswer: -26*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 2*i - 15. Let l(b) = -5*b + 31. Suppose -189 = -87098*p + 87119*p. Determine p*d(f) - 4*l(f).\nAnswer: 2*f + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**8*(g\/(g\/g**(1\/6)*g))\/g)\/(g**(-4)\/g**(-2)))**(-8\/11) assuming g is positive.\nAnswer: g**(164\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -126*r - 6. Let u(w) = 8*w - 1. Let m(z) = -j(z) + 8*u(z). Let h(f) = f**2. Give m(h(l)).\nAnswer: 190*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 394 a factor of 1914662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -581.999977525 - -582. Round g to seven dps.\nAnswer: 0.0000225","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(1*sqrt(1584) + 4 + sqrt(11) + sqrt(99)\/sqrt(9))**2.\nAnswer: 224*sqrt(11) + 4344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/290 and 1\/1 - 2613\/3016.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*a**3 + 7*a**3 - a**3.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*r - 1025 = -908 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1387.88ml in litres?\nAnswer: 1.38788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 72 and 369.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(880) + sqrt(880) + sqrt(880) + sqrt(880)*-2)*-4)\/((sqrt(66)*1 + sqrt(66))\/sqrt(6) + sqrt(176)*-5))**2.\nAnswer: 320\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*o = -15 - 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from irrrrroirrqrrqqneo. What is prob of picking 1 i, 2 q, and 1 e?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 663248.9 centimeters in kilometers?\nAnswer: 6.632489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 - -4. Let v = 33 - 32.69. Let i = v + -0.31. Which is the nearest to i?  (a) -4\/5  (b) 0.5  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5 + -1 + -4 - -9. Suppose 2*a = g + 1. Solve a*b - 10 = -c, -2*b = 3*b - 2*c - 25 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2184*r**3 - 60*r - 2*r**2 + 1090*r**3 + 1090*r**3 to q*r**2 + m + g*r + t*r**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -64, -1\/4 in decreasing order.\nAnswer: 0.2, -1\/4, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/((p*p**(1\/4)*p)\/p))\/p*p*p**(2\/9))**27 assuming p is positive.\nAnswer: p**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**3 + 6*h**2 - 8*h + 14. Let m(z) = -z**3 - 13*z**2 + z + 6. Let t be m(-13). What is the remainder when 35 is divided by w(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -65900, -131940, -197980?\nAnswer: -264020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - 0. Let u = -29\/10 - -33\/10. Are g and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27.625317 months in years?\nAnswer: 2.30210975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4299 - 11f3?\nAnswer: 30a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1012120111 (base 3) to base 13.\nAnswer: aa68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19 + -28. Let y be (6\/x)\/(-2 + (-1293)\/(-648)). Calculate the greatest common divisor of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bwwbww. What is prob of sequence wbww?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 4*n - 16. Let k(f) = -11*f + 49. Let j(t) = 3*k(t) + 8*x(t). Let d be j(9). Suppose 0*i - 350 = -5*i. What is the highest common factor of i and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 90 + 17 - 2*u + 15 in the form r*u + n and give n.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add -1.8 and 11208537.\nAnswer: 11208535.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s**2 - 42*s = 0.\nAnswer: 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, 8, -0.01?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 493221961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 - 226*g**2 - 28441*g - 99. Calculate x(-90).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 0*h - 198 = 0. Suppose 6*c - 11*c + 97 = 3*v, -4*c + 88 = 5*v. What is the remainder when h is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3585.\nAnswer: 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*v - 6*v + 2*v + 7*v + 2*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27 - 17 + 19 + 14*k**2 - 3*k**2 - 12*k**2 - 35.\nAnswer: -k**2 - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(2736) - sqrt(2736)) + sqrt(2736) + 5 + sqrt(2736) + sqrt(2736))**2 - (sqrt(684) + -2 + sqrt(684) + 1).\nAnswer: 420*sqrt(19) + 24661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7580735*j**5 - 4*j - 1919887 wrt j.\nAnswer: -151614700*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-31)\/((-6975)\/(-75))*(-240)\/85?\nAnswer: 16\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 43, 110, 181, 250, 311, 358, 385?\n\"Answer: -h**3 + 8*h**2 + 50*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 10*h**3 - 126*h**2 + 14*h - 10. Let z(q) = 2*q**3 - 25*q**2 + 3*q - 2. Determine -3*c(m) + 14*z(m).\nAnswer: -2*m**3 + 28*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -111384*k + 6237539. Determine t(56).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 2 + 0)*(18*a - 104 - 53*a + 36*a)*(2*a - 2*a + a**2) as t*a**3 + u + s*a**2 + b*a and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -10*b**3 - 11*b**2 - 9*b + 50. Let r(p) = 28*p**3 + 31*p**2 + 26*p - 155. Determine -4*r(a) - 11*z(a).\nAnswer: -2*a**3 - 3*a**2 - 5*a + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4151\/15 + 277. Let i = 46 + -49. Let j be i - (3 - (-25)\/(-5)). Is a bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 143*k = 127*k. Suppose -5*z - 2*w = -1229, -z - 4*w + k*w + 253 = 0. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -2*c - 789. Let q(w) = -w - 14. Calculate 3*q(o) - y(o).\nAnswer: -o + 747","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13985, 13979, 13971, 13961, 13949, 13935?\nAnswer: 13919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**3 + 10*y**2 - 3*y - 3. Let c be v(-10). Let o be (4\/6)\/((-72462)\/c). Let x = o - -1340613\/265694. What is the common denominator of x and 35\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2  (b) -3  (c) -5  (d) 9  (e) 0.656\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and 68310203?\nAnswer: 68310203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 0, 35, 84, 141, 200, 255, 300, 329?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r = 224 - 220 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 313454?\nAnswer: 2, 156727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 3*h = -470, -344 = -4*g - 0*h + 4*h. Suppose -2*n = 2, o + 17 = 2*n + g. Is 24 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 25*d + 2*d**2 - d + 13 - 11*d - 13*d. Let l(v) = 30*v**2. Give u(l(w)).\nAnswer: 1800*w**4 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7550, 15102, 22654, 30206?\nAnswer: 37758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 - 4. Let s be (-3 + z)\/(4\/(-2)). Differentiate -1 - 3*y**s - 1 + 1 wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 572, 2776, 6326, 11126, 17080?\nAnswer: 24092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8 and 2887?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 6*d**3 + d. Let h(m) = -m**3 - m. Suppose -l - 27 = -37. Suppose 0 = 4*n + l*n + 14. What is n*u(b) - 3*h(b)?\nAnswer: -3*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -15*c**2 - 9*c - 9. Suppose 0 = 61*b - 77*b - 16. Let a(t) = t**2 + t + 1. Give b*q(k) - 9*a(k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**3 + 154*j**2 - j - 154.\nAnswer: (j - 1)*(j + 1)*(j + 154)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n - 2. Suppose -10*o + 11*o = -1. Give c(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6333132.831 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/n**(-4))\/n**(-2\/13))\/((n**(1\/2)*n)\/n*n)**(13\/4))\/(((n\/((n\/n**4)\/n))\/n**5)\/(n**(-2\/5)*n*(n*((n\/(n*n*n**2))\/n)\/n)\/n)) assuming n is positive.\nAnswer: n**(-2143\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (43\/43)\/((-54)\/918).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 152 divide 34962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(84)*1*1 - 5*(sqrt(84) - sqrt(84)*2))\/(1*sqrt(1452) + sqrt(588)*-1)*4 + 0 + -3.\nAnswer: -3 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, q: 7, e: 3, j: 6, h: 1}. Give prob of picking 1 h, 2 q, and 1 e.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 24\/9*3\/2. Suppose 453*j - 447*j - 30 = 0. Solve -5 = -j*c + 5*f - 15, m*c - 4 = -2*f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9431331837 - 9.\nAnswer: -9431331846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 823  (b) 1  (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**2 - 3*c**2 + 3*c**2 - 2)*(-195*c + 431*c - 73*c).\nAnswer: -163*c**3 - 326*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 5 = -2*l - 17, l - 6 = 2*d. Calculate the common denominator of (-3)\/((-12)\/(-142)) - l and -13\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**3 + 5*y**2 - 1068*y + 4259. Let b be l(4). Solve -b*p + v + 2 = 0, v - 2 = -3*p - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -6*c + 2*c. Calculate the lowest common multiple of 8 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 396a33 (base 11) to base 2\nAnswer: 10011000011000011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 5702*k. Let o(p) = -2*p**2. Give o(j(y)).\nAnswer: -65025608*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -9*i. Let q(g) = g**2 - 6*g + 27. Let z be q(7). Let a(o) = -z*o**2 + 21*o**2 + 20*o**2. Determine a(b(d)).\nAnswer: 567*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4150092 - 8300208 + 89*b**3 + 4150116.\nAnswer: 89*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 2*i + 84 = 0. Suppose 0 = 11*q - 39 + 83. Let z = i - q. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 (base 14) in base 2?\nAnswer: 11000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 23*x**3 - 20*x**2 + 2*x + 3. Let o(w) = 24*w**3 - 23*w**2 + 2*w + 4. Calculate 5*b(p) - 4*o(p).\nAnswer: 19*p**3 - 8*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1908 and 9236151?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 2*n - n**2 - 3*n + 6*n**2. Let u(f) = 14*f**2 - 4*f. Let z(b) = -16*m(b) + 5*u(b). Factor z(o).\nAnswer: -2*o*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 37.1 + -37.3. Which is the closest to -0.1?  (a) -0.5  (b) -3  (c) -2  (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 283 a factor of 141533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ljljlblbjbp. Give prob of sequence pb.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -782 - -784. Suppose 3*m + 3 - 12 = 0. Solve m*y + 10 = 4*l + y, u*l - 3 = -y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i - 1. Let m(n) = n. Let w(a) = -f(a) + 2*m(a). Let r be (-1)\/(2*1\/(-2)). Let x be w(r). Solve x + 1 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 347, -120, 922 in decreasing order.\nAnswer: 922, 347, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -208*y**2 + 37844*y + 2201. Calculate q(182).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q. Let z(u) = -5. Let h(s) = -3*b(s) + z(s). Let d(t) = t. Give d(h(a)).\nAnswer: 3*a - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(325) + 5*(2*sqrt(325) + sqrt(325)))**2 + 3 + 2*sqrt(325) + -2*sqrt(325) + -4 + (sqrt(325) + 3)*4)*-6.\nAnswer: -499266 - 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4173 - -4177. Suppose -o - 2*o = 0. Solve -b*a = -o*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.16 - -792?\nAnswer: 792.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -2*x + 7225 + 5383, -18902 = -3*x - 5*y. List the prime factors of x.\nAnswer: 2, 3, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36127.\nAnswer: 7, 13, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/3 at least -1980338\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xgxx when four letters picked without replacement from {g: 1, x: 14}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 22*m - 46*m - 590 + 158 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of u**2\/2 + 7*u - 442. Calculate i(15).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the second derivative of -t**3\/2 - 5*t**2\/2 - 2*t. Suppose -h = l - 7, 4*l + 2 = 6*l. Suppose 3*g = -5*c - 34, 4 = c - 5*g - h. Determine z(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 + 5. Suppose -9 - 7 = 4*c. Put l, -3, c in increasing order.\nAnswer: c, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1280.8528142 rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 798 is divided by 100?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 4*j**3 + 7*j**2 + 7*j - 5. Let k(z) be the second derivative of z**5\/10 + z**4\/4 + 2*z**3\/3 - z**2 + 2234*z. What is 3*b(s) - 7*k(s)?\nAnswer: -2*s**3 - 7*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes after 7:46 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-189)\/1197 - 91\/(-95))*(434\/(-212) + 2)\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4b8 (base 12) in base 10?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 247.67283ms?\nAnswer: 0.0041278805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -5*o + 2, 5*b - 3 - 34 = 2*o. Find the second derivative of -26*p - 6*p - 23*p**2 + b*p wrt p.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5508 and 106488?\nAnswer: 319464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from qxjaqaxjxxq.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes before 3:56 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2102401 - 0?\nAnswer: -2102401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 94501*j**4 + 5954*j wrt j?\nAnswer: 1134012*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-254)\/9144 + 51860\/720.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7 + 7 + 8*t)*(2*t - t + 0*t) + (3 + t - 3)*(-2 + 0 + 1)*(-66 + 6*t + 66) to c*t + i + u*t**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 + -5)*(-8)\/20. Solve -3*d - 15 = 2*o, -9 = h*d - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/6)\/((-6)\/36).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 538 - -462. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 47876472*d**2*l + 154*d*l + d - 4*l + 67 wrt d.\nAnswer: 95752944*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34802, -69587, -104372, -139157, -173942?\nAnswer: -208727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 45240 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 269307163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 18035753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -374*g**2 + 3028*g wrt g.\nAnswer: -748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3 - ((-4 - -1) + 2). Let y = 4 - g. Suppose y = -0*v - 3*v. Put -5, -3, v in increasing order.\nAnswer: -5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**2 - g + 12. Let f be a(0). Let x = f - 10. Let l be x + -5 - -1*5. Solve -y = -0*y - l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -587*h**6*y + 10*h**6 - 94880*h**2*y wrt h?\nAnswer: -70440*h**3*y + 1200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 77079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -45\/13278713 and 38\/92950991?\nAnswer: 92950991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 333543765 and 1425?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 51520*j**2*r**3 - 11*j**2*r**2 - 105*j**2 - 2*r**2 wrt r?\nAnswer: 309120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**2 - k + 3. Let x be t(0). Suppose 0 = 3*n - 5*s - 91, -x*n - 2*s = -6*n + 94. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 181712.48 rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 250310 (base 8) to base 14\nAnswer: 235c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 44197*b*l**2 - 83*b*l - 194*b + l**2 + 1 wrt l.\nAnswer: 88394*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 3281000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 2\/5  (b) 2  (c) -934.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5865908 a multiple of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 28230459551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -26 + -96. Let k be -763*((-12)\/2)\/(-6). Let c = 640 + k. Which is greater: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (89*p - 89*p + 9*p**3)*(4*p + 5*p + 3*p).\nAnswer: 108*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2021 and 329?\nAnswer: 14147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 39430921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**2\/2 - 89903150*d - 4041288189961250.\nAnswer: -(d + 89903150)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 + 7 + -2 - 1. Suppose -120 = -9*v + b*v. Solve 5*l - 2*d = -4*d + 12, 2*d = 4*l - v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5282144 and 10752?\nAnswer: 253542912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, -30474, 10, 3.\nAnswer: -30474, -3, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -8*g + 9. Let h = 13 - g. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4972 and 562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*h**2 + 48*h + 703 wrt h.\nAnswer: 16*h + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.64 times -469.93?\nAnswer: -300.7552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**3 + 6*l**2 + 7*l - 1. Let u be r(7). Let b = 4\/27 + 2\/27. What is the biggest value in u, b, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/(-14) - (-120384)\/462. Calculate the highest common factor of 18 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -214 + 190. Let s be 5\/((-78)\/g + -3). Let z(y) = 1. Let n(c) = -2*c**3 - 10. Let i = -12 - -14. Determine i*n(a) + s*z(a).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -20080 - -20111. Calculate the highest common factor of 10943 and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25416864 divided by 32544\nAnswer: -781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-14)\/(-28))\/((-1)\/(-36) + 0). Suppose 9*q - z = 27. Sort 0, q, 1, 3.\nAnswer: 0, 1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 73256580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.036938 rounded to four dps?\nAnswer: -0.0369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*c + 3*n - 29, 2*c + 2*n + 14 = 7*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-525)\/(-1890))\/(((-220)\/20)\/44)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/18 - (-364)\/24. Let 2*m**2 + 15 + 2*m**3 - l + m**3 = 0. What is m?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(1100) - (-5 + -2*sqrt(1100)) - (sqrt(1100) + sqrt(1100) + 5 + sqrt(1100)*1 - sqrt(1100)))**2 + -2)*4 + -2.\nAnswer: 4406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 4*t + 5, 4*n - 7 = -2*t - 3. Suppose 2*s + t*s = -2*w - 2, w - 19 = 3*s. Calculate the lowest common multiple of w and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxlxaxxla?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 3*v = 4*j - 455, -225 = -2*j - v. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 1, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**2 + 9747*v + 224392. What is c(-23)?\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000546 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 3*w**2 - 10*w + 7. Let z(p) = p**2 + 3*p - 2. Let m(r) = r**2. Let v(f) = -2*m(f) + z(f). Give 2*l(c) + 7*v(c).\nAnswer: -c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*m**4*y + 20*m**4 - 2*m**3*y - 2*m*y + 25*m wrt m?\nAnswer: 24*m**2*y + 240*m**2 - 12*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -230200 (base 4) to base 14\nAnswer: -1076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*h**2 + 23*h**2 - 33*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 597, 2467, 5583, 9945, 15553, 22407?\nAnswer: 30507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -741762 - 1218*t - 1\/2*t**2 = 0.\nAnswer: -1218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44 is divided by (0 - 0) + -12 + 27.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1215748779?\nAnswer: 3, 7, 997, 58067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -61, -212, -625, -1432, -2765, -4756, -7537, -11240?\n\"Answer: -22*a**3 + a**2 - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2976159352190 + 142\nAnswer: -2976159352048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 453285 and 7623.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6601.18mm in kilometers?\nAnswer: 0.00660118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7.4267 - -6.87. What is o rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 109 + -99. Suppose 4*k - 18 = -2*i, -2*i + 0*k + 14 = 5*k. Let z = i + 3. What is the highest common factor of z and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 1325*p - 1333*p - 1.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, 4, -87256, -123.\nAnswer: -87256, -123, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = w + 8, 0 = -4*q - 4*w + 8. Let r = -1 + 6. Suppose 0 = r*y + 9 + 6. Which is greater: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 3 = 0, 71*w - f = 73*w - 171977. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 397 a factor of 4328491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 32aa7b (base 13) to base 15\nAnswer: 18900d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/4*22\/33.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.24  (b) -1\/19  (c) 7.4786  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -5*k**3 - 25*k**2. Let u(f) = 15*f**2 - 6*f + 4. Let s be u(-1). Let g(m) = -m**3 - 6*m**2. Calculate s*g(c) - 6*r(c).\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, -0.5, -111\/290 in descending order.\nAnswer: -111\/290, -0.5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**3 + 18*n**2 + 32*n + 2. Let a be s(-16). Suppose -f + 2 + 1 = 0. Let z be -4 + (f - a) + 1. Put 0, z, 5 in increasing order.\nAnswer: z, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -2, 0.05, -15, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:35 PM and 6:21 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3289 and 113.977.\nAnswer: -3175.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*b**5*c**2 - 2021*b**3*c**3 - 452*b*c**2 - b*c - c**3 - 2*c wrt b.\nAnswer: -60*b**3*c**2 - 12126*b*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.009 take away -0.13?\nAnswer: 0.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2 - 9*k + 11. Let j = 26 + -15. Is z(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = 5*u - 33, 5*o = -0*o + u + 42. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -72, -29, 64, 237, 520?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the third derivative of y**6\/120 + 2*y**5\/15 + y**4\/3 + 7*y**3\/6 - 5*y**2. Let g be f(-7). Is (-2 - g)*(-1547)\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*20\/(-240)*4\/23.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -180 divided by 20?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 611566828?\nAnswer: 2, 977, 156491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -172, -2, 3, -1, 4 in increasing order.\nAnswer: -172, -6, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5)\/(-1) - (2 + -1). Let i be (-80)\/(-15) + u\/6. Let m(w) = w**2 - 4*w - 5. What is the units digit of m(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 3 = 0, j + 4*b = -0*j - 12. Suppose 26 = x - v - j*v, 5*x - v = 122. Calculate the remainder when x is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 2*o + 3*o. Let n be o\/(-6) + 80\/(-210). Which is the closest to 3?  (a) 0.3  (b) -2\/11  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 46 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yd when two letters picked without replacement from dyyss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1118863 is divided by 88.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2*m - 1)*(-m + m - 2*m**2) + m**2 + 2*m**3 - m**2 - 2536*m - 61*m**3 + 2536*m.\nAnswer: -63*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23384, 23321, 23258, 23195, 23132, 23069?\nAnswer: 23006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = b - 2293, 301*f - 305*f - 4*b = -4584. What is the greatest common divisor of 37 and f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2094*u - 20436*u - 3801*u as l + g*u and give g.\nAnswer: -22143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 439 + -413 + 2 + (-15 + 0 - -4) + 2\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85*k = -27*k + 46*k - 3120 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 5*r**2 + 5*r + 5. Let z(p) = -5*p**2 - 4*p - 4. Let o(f) = -4*i(f) - 5*z(f). Let q(l) be the second derivative of -l**4\/6 + 6*l. Calculate q(o(s)).\nAnswer: -50*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.1  (b) -2\/5  (c) 2\/3235  (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 72241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 182*r = 207*r - 126200. List the prime factors of r.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.647146793 to 4 decimal places.\nAnswer: 5.6471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5700159 is divided by 1805?\nAnswer: 1774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 4 = 3*b. Let p(c) = 6*c**b + 10 - 4*c**3 + 5*c**3 - 4*c - 3*c. Calculate the least common multiple of p(-7) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -477962*n**2 + 5*n - 23977252?\nAnswer: -955924*n + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 129, 549, 1257, 2253, 3537, 5109?\n\"Answer: 144*g**2 - 12*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -312547*t + 2500454. What is k(8)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -21 + (14 - 1) + 3 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4313 + 6646. Is (v\/7)\/((-7)\/(-49)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -4*x + 1. Let f(h) = h. What is f(l(c))?\nAnswer: -4*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 7, 0 in ascending order.\nAnswer: 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2945 + -2947. Which is the nearest to u?  (a) -0.2  (b) 5  (c) -4\/5  (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 PM and 4:35 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -9*u**2 - 10*u + 1. Let v(s) = 3*s**2 + 3*s. Let p = -2525 - -2532. Let j = 1 - -1. Determine j*n(r) + p*v(r).\nAnswer: 3*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/(-4)*(-284)\/3. Let p = 144 - g. Let n(l) = 2*l**3 - 3*l**2 + 3*l. What is n(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -115, -116, -117?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12 - -2. Solve -5*r + 0*a + b = -2*a, 5*r + 2*a = 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-2076)\/8*((-1137)\/(-378) - 3) and 61\/96.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 3*o)*(0*o + 5*o - 2*o + 4*o - 4*o + 2*o + (-2 + 1 + 0)*(-2*o - 2*o + 2*o) - 4*o + 3*o + 0*o + 11 - 11 - o)*(5 - 5 - 2*o).\nAnswer: 30*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 707, 678, 599, 446, 195?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p + 15*p**2 - p**3 - p**3 - 2 - 13*p**2)*(70 + 90 - 129).\nAnswer: -62*p**3 + 62*p**2 + 31*p - 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 7*t + 4*p + 6906 = 0, -4*t - p = -13794. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/15, -4, 3\/2, -2910 in decreasing order.\nAnswer: 3\/2, 2\/15, -4, -2910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*i**2 + 4 - 6*i**2 + 5*i**2 as v*i**2 + f + u*i and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -263*z - 1824. Let h be k(-7). Let n(f) = f**3 + 2*f**2 - 3*f + 4. Let m be n(-3). Suppose -4*l + q - 13 = 4*q, -m*q - h = 5*l. Are -2.5 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-48)\/(-88)*-1*(-2)\/(-6).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**4 - 192*w**3 - 600*w**2 - 608*w - 204.\nAnswer: 4*(w - 51)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*l**3 - 1 + 1 + 1 - l**3 in the form k + x*l + w*l**2 + r*l**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:52 AM and 11:12 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 51819 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of -6672713 and -0.6.\nAnswer: 4003627.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 29 - (10 - 6) - (8 - (6 - 5))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 10*k**2 + 1146*k + 3994. Give i(-111).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3 and 2263.85.\nAnswer: 2260.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*w**2\/13 - 89824*w\/13 - 7559328\/13 = 0. What is w?\nAnswer: -84, 44996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, 2\/11, 0.2, -69.\nAnswer: -69, 2\/11, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 4*b + 3. Let n = 151 + -146. Let d(u) = -u. What is n*d(q) + o(q)?\nAnswer: -q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*s + 10. Suppose s*f + 4*z - 750 = f, -2*f + 3*z + 757 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -15*d - 5. What is b(6)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 650 divided by -25?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*u**3 + 40*u**4 - 18*u**4 + 73*u - 8*u**3 - 23*u**4 - 7*u**2 + 16*u**3 to h + c*u**2 + o*u**4 + s*u**3 + m*u and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/10 and -56\/5658039?\nAnswer: 56580390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14*a**4*h**2 - a**4*h + 8*a**3 - 13*a**2*h**2 - 5*a wrt a.\nAnswer: 336*a*h**2 - 24*a*h + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 - 11. Suppose 3*c + 26 = u, -5*u = -g*u - c - 130. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 102 + -101.949. Let a = 1.491 - h. What is a rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 4) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -33*y + 3. Let c(q) = 98*q - 10. Let m = -13 - -20. Let a(v) = m*n(v) + 2*c(v). Is a(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2123 at least -14072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -93664465 divided by 3\nAnswer: -93664465\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 PM and 8:36 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (10 - (-1 + 4)) + -7*104\/91\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2293 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: Suppose p = 3*v + 2, 2*v = v + 1. Suppose 4*j + 2*a - 11 = p*a, -2*j + 4*a = -8. Let h = 72 - j. Calculate the remainder when h is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3248179.\nAnswer: 11, 71, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(3\/4)*s**(-1\/5)*(s\/(s\/s**6))\/s**(-3\/5))\/((((s**(-3)*s)\/s)\/s*s)\/(s*s\/(s**(-4)\/s*s)*s*s*s)*s**(1\/2)*((s\/(s**0\/s))\/s)\/s*s) assuming s is positive.\nAnswer: s**(353\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1712 or 1683?\nAnswer: 1712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmmmmvyymyymyyymm. What is prob of sequence ymmy?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(0 + sqrt(450) + sqrt(450))*5 - (6*sqrt(40)\/sqrt(5))\/(6*(sqrt(4)*-2 - sqrt(4))).\nAnswer: -2699*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18248 and 324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175) + 0)**2 + sqrt(175) + -5.\nAnswer: 5*sqrt(7) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4640 - -4639. Let g(b) = b**2 - b. Let n(z) = -30*z**2 + 15*z. What is a*n(s) - 15*g(s)?\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the first derivative of -3*g**2\/2 - 3*g - 4. Let v(w) = -w + 1. Suppose -5*q = 2*m + 22, -2*q + 3*m = -156 + 142. Give q*v(b) - f(b).\nAnswer: 5*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2477558*n**3 - 4301549*n wrt n?\nAnswer: -14865348*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -83, -359, -857, -1601, -2615, -3923?\n\"Answer: -4*k**3 - 87*k**2 + 13*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 3*n - 23 = 2*t, -3*t = -4*n - 32. Calculate the smallest common multiple of t\/(5*(-8)\/(-100)) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*j + o - 3 = 2*j, -4*j + 3*o = 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 6*x. Suppose x*a = -3*a. Let h(i) = -11*i - 118. Let y be h(-11). Solve a = -y*v - 3*r - 18, v = -3*r + r - 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -512*o**2. Let r(j) be the first derivative of 7*j**2\/2 - 2594. What is w(r(y))?\nAnswer: -25088*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**3 - 5*x**2 - 5*x - 2. Let q be i(-3). Let o = 8 + q. Suppose 0*c - 5*c - 4*t + 90 = 0, -o*t = -5*c + 55. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3588037ml in litres?\nAnswer: 0.0003588037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.010324 to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 388*w**2 - 599*w + 1. Let j(i) = 11*i**2 + i - 1. Let x(s) = -2*j(s) - z(s). Find the second derivative of x(n) wrt n.\nAnswer: -820","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -215*q**4 + 2*q**3 + 3222*q wrt q.\nAnswer: -2580*q**2 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 + -3*(-1 + 4\/(-88)). Which is the closest to v?  (a) 0.5  (b) -1\/3  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5100809 is divided by 1275202?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 389337 is divided by 77865?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 687 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4970227l to millilitres.\nAnswer: 497.0227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1852779644.\nAnswer: 2, 7411, 62501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6 and 27216.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.6 + -37.6. Let s = d + 36.5. What is the second smallest value in -3\/7, s, -0.5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(110)*-2)\/sqrt(2))\/(sqrt(405) + 2*sqrt(405) - sqrt(5)) + -5)**2.\nAnswer: 10*sqrt(11)\/13 + 4236\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 192*r**2 + 1 - 1 + 109*r**5 - 30*r**2 + 2*r**3 wrt r?\nAnswer: 6540*r**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-5*(sqrt(637) + -1 + 3) - (sqrt(65)\/(sqrt(5)*3 - sqrt(5)) + 2 + sqrt(1300)))**2.\nAnswer: 1092*sqrt(13) + 108221\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -4386*p - 5990. Let h be j(55). What is h rounded to the nearest 1000?\nAnswer: -247000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 - 6. Suppose -7 - 23 = -3*v. Suppose v*x = 4*x + 72. What is the highest common divisor of x and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 27*u - 2 + 7.\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the first derivative of s**3 - s**2 + 4*s - 17. Let h(r) = -4*r**2 + 3*r - 5. Suppose -5*j + 14 + 6 = 0. Determine j*h(q) + 5*m(q).\nAnswer: -q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -115 + 147. What is the highest common divisor of y and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*a**4*t + 22*a**4 - a**2*t - 3*a - 31*t wrt a.\nAnswer: 36*a**2*t + 264*a**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (61\/10 + -6)*25\/10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1481*c**3*o*u*z**3 - c**3*o + c**3*u**3*z + 9*c**2*o*u**3*z**3 + 3*c**2*o*z**2 + c**2*u**3*z + 5*c**2*u + c*u**3 + o*z**3 wrt c.\nAnswer: 8886*o*u*z**3 - 6*o + 6*u**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 + 20*j - 49. Let z(h) = -h**2 - 41*h + 97. Let f(t) = 7*o(t) + 4*z(t). Factor f(q).\nAnswer: 3*(q - 5)*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + (-4)\/(-2) - 4. Let b = h - -6. Suppose 2*c = -b*c + 108. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/4, -3, -0.1, 0.5 in decreasing order.\nAnswer: 5\/4, 0.5, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve o**4 - 40747*o**3 + 415750941*o**2 - 13672595837*o - 29008521430 = 0.\nAnswer: -2, 35, 20357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-168))\/((-15)\/((-1200)\/(-20))).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 202091677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*u - 460 = 8*u. Calculate the highest common divisor of u and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*n**3*r**3 - 208*n**3 + 2*n**2*r**2 - 26*n**2 - 2*n*r + n - 6177*r**3 wrt r?\nAnswer: 18*n**3*r + 4*n**2 - 37062*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 950, 1955, 3008, 4115, 5282, 6515?\nAnswer: 7820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 570010 and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -51*t + 90. Let j be f(33). Let q be 885\/j*12\/(-10). Factor -q*o**2 - 4\/9 + 10\/9*o + 2\/9*o**4 - 2\/9*o**3.\nAnswer: 2*(o - 1)**3*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33303874.\nAnswer: 2, 16651937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 2, q: 8, n: 2, k: 4}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 21*f**3 + 224*f**2 - 48*f**3 + 28*f**3 - 2*f + 2 + 9*f - 231*f**2. Let q be (-18)\/10*190\/(-57). Calculate i(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*n**3 - 1204*n**4 - 2*n**2 + 6*n**3 + 1814*n**4 to l*n**2 + h*n**4 + a*n + u + s*n**3 and give h.\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1919.1 - -1921.1. Let s = -3.98 + -0.02. Let v = 19.7 + -20. Which is the fourth smallest value?  (a) v  (b) p  (c) s  (d) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -46, -44, -42, -40?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10946 divided by -7412.\nAnswer: 5473\/3706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.09231 - 14610.90769. Let w = g + 14610.99994077. What is w rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, -0.4, 18 in ascending order.\nAnswer: -14, -0.4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 398 - 272. Let k = 129 - b. Let j be (-8)\/(-6)*12\/40. What is the nearest to j in 0.29, 1\/4, k?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3316760 - 0.2\nAnswer: -3316760.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1*((-11)\/(198\/48))\/((-61)\/(4026\/(-1364)))\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = 4*k - a - 64, 0 = 2*k - 2*a - 22. Let w(d) = d**2 - 10*d - 8. What is the tens digit of w(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3835 - 3839. Let o = 36 + -10. Sort o, u, -5.\nAnswer: -5, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010010011 + 110?\nAnswer: 1010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 28*j + 7. Let i(h) = 29*h + 8. Let t(x) = 7*i(x) - 6*u(x). Is 12 a factor of t(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (-4515)\/728 - (2 + 243\/(-117))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22904159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qrq. Give prob of picking 2 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 137 - 364. Let f = -180 - a. What is the remainder when 184 is divided by f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -500424343 to the nearest one hundred thousand.\nAnswer: -500400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**3 + 89*u**2 - 885*u - 168. What is the smallest common multiple of v(-98) and 24?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4.04 + -0.04. Let v = 14 - 13.91. Let f = -0.09 + v. Which is the smallest value?  (a) m  (b) -1  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -45859091 and -17.\nAnswer: -45859108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**3 - d. Let j(o) = -o**2 + 1. Let l be j(-1). Suppose l = f - 6. Let a(m) = m**3 - 7*m**2 + 7*m - 8. Let n be a(f). Give i(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the third derivative of 38*m**2 + 9*m**3 + 0 + 0*m - 9\/4*m**4. Find the first derivative of y(l) wrt l.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = 3*w, 4*g + 0 = -5*w + 17 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:36 AM and 3:21 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hxmghhuxguumuxuux. What is prob of picking 1 u and 1 x?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 9\/7, 0.3, 54, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 42\/211 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*s + 3. Let i = 11 - 17. Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - -8. Let b be -4*(0 + 1\/(-4)). What is the tens digit of b + t - (-70)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -12245 - -13945. What is the greatest common factor of 85 and h?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4421 or -4422?\nAnswer: -4422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1678\/7*u - 3090\/7*u**3 + 240\/7 + 8\/7*u**5 + 3586\/7*u**2 + 934\/7*u**4 = 0. What is u?\nAnswer: -120, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.4293 - -369.5707. Which is smaller: p or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 90 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, 0.1, 0.0894, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -11881185 divided by 16?\nAnswer: -11881185\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 152, 305, 456, 605, 752?\nAnswer: 897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(-9\/7)\/v*v*v*v*v**20*v*v*v*v)\/(v**26*v**(-31)) assuming v is positive.\nAnswer: v**(215\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -4*m**2 + 1784*m - 60532 = 0.\nAnswer: 37, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 7*t - 3. Let w be z(1). Suppose 6949 = -w*i - 83. Is ((-35)\/15 - 1)*i\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**2 - 3*i - 2. Let a be z(4). Suppose 2*g - 4*l - 36 = 0, a*g = 2*l + 16 + 12. Calculate the greatest common factor of g and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.09 and 3.0482.\nAnswer: 4.1382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/6*-4 - -5. Solve r = 4*z - 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 7*q**2 - 6*q + 2. Let g(v) = v**2 - v - 1. Calculate -b(o) + 5*g(o).\nAnswer: -2*o**2 + o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -33366.92 or 3\/2?\nAnswer: -33366.92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 572 + -564. Solve -l - 1 = -4*a + k, -5*l + 24 = 3*a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -2*f - 102, -2*f + 2*o = 20 + 82. Let v = -460\/9 - f. Let u = 3.2 + 0.8. Which is the nearest to -1?  (a) u  (b) v  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 75 is divided by 64?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 - a**2 - 27 - 3*a**2 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, e: 3}. What is prob of sequence heh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -35, 187, 401, 601, 781, 935, 1057?\nAnswer: 1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 65 - 32. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 2*v**3 - 3*v**2 - v + 5. Suppose 0 = -18*r + 11*r + 371. Let o = -55 + r. Let z(m) = m**3 - 2*m**2 - m + 4. Give o*h(a) + 3*z(a).\nAnswer: -a**3 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18\/35 + 2697\/140. Let a = -2498 + 14869\/6. Calculate the common denominator of a and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -147.28 * -3.28\nAnswer: 483.0784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:25 AM and 12:10 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -422*f + 411*f - 77 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j\/((j\/(j*j\/j**(1\/4)))\/j))\/j)**(-1\/29)\/(j*j*j**(-1\/5)*j)**(-2\/93))**36 assuming j is positive.\nAnswer: j**(-21\/4495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1388021909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 376 - 700 + 226*l + 362 + 4*l**2 with respect to l.\nAnswer: 8*l + 226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 + 11. Let f(c) = 10*c - 4. Does 15 divide f(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v - 1. Let w be -3*(-3)\/(-9) + -3. Let h(t) = -3*t - 5. Determine w*i(j) + h(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2228458.7 rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -20177 or -6421?\nAnswer: -6421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 120, 96, 58, 0, -84, -200, -354?\n\"Answer: -l**3 - l**2 - 14*l + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 3, v: 1, n: 1}. What is prob of picking 1 q and 1 v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 393*i*k**3*x**2 + i*k**3*x + 2*i*k*x**2 - 2820*i - 5*k**3*x**2 + 2*k*x wrt x?\nAnswer: 786*i*k**3 + 4*i*k - 10*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 349\/4, -3\/13, 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4 + (0 - 0\/(-4)). Suppose -4*r = -2*c - 0*c - a, 2*c - 6 = -r. Suppose -1009 = c*z - 6887. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 965 + -969. Sort -30, -3, k, -1 in decreasing order.\nAnswer: -1, -3, k, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -3*g + 74, -3*o - 11 = 1. Suppose 17 = -5*s - g. Let y(n) = n**3 + 8*n**2 + 5*n - 13. Let u be y(s). Put u, 5, -5, 0 in ascending order.\nAnswer: -5, 0, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2134511, 4269020, 6403531, 8538044?\n\"Answer: o**2 + 2134506*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 10147934 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes after 4:26 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3*((-29)\/3 - -10). Suppose -6*m = -2*m. Sort 4, -5, m, h.\nAnswer: -5, h, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -8*j**3 + 94*j**2 + 82*j - 836. What is u(12)?\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 5576.842 days?\nAnswer: 8030652.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the second derivative of k**4\/12 + 5*k - 4. Let g(b) = 6*b**2. Determine g(j(r)).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/2)\/(c\/c**(-5))*((c*c*c**(-1\/6))\/c)\/c**(1\/2))\/((c**1*c*c)**(-32)\/((c*c*c**(2\/3))\/c**(1\/3))) assuming c is positive.\nAnswer: c**(559\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that c**4\/4 - 3*c**3 + 39*c**2\/4 - 7*c = 0.\nAnswer: 0, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*u**4 - 3*u**4 - u**4 + (-3*u**2 + 3*u**2 - u**2)*(-2*u**2 + u - u) - 263265*u**4 - 4*u + 276501*u**4 + 4*u.\nAnswer: 13237*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 3 - 5 - 4*d - 4. Let o be w(-5). Let v = -12 + o. Solve 6*p = v*p + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j + 7. Let v be z(-4). Suppose -i + 3 = 0, -5*m - v*i = -7*i - 8. Solve m*l + l = -20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-9)*157\/((-16485)\/(-3150))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 102 and 20842?\nAnswer: 62526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 3*n**3 - 13*n**2 - 9*n - 51. Let y be x(10). Is y\/7 - ((-95)\/(-35) - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**2 + 7*r + 7. Let g be y(-6). Let u(s) = 20*s. Let w be u(g). Suppose -4*h - w = -9*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16929 - 15.321778.\nAnswer: -16944.321778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jvjjjvjjjjjjj.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes after 12:11 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.11 times -389089.48?\nAnswer: -42799.8428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -12*g + 7. Calculate u(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = 2*y - 26, -j - y = -4 - 0. Let b be -8 + 1169\/91 - (-2)\/13. Suppose -2*i = -2, g + i - j = b*i. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -217 + 218 + 4*x - 44*x.\nAnswer: -40*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -512918*i**5*m - 9*i**5 - 3651*i*m + 6*i - m - 4 wrt i?\nAnswer: -10258360*i**3*m - 180*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2961769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 7*n**2 + 19*n + 23. Suppose -2 = -2*b + 8. Let s(f) = -4*f**2 - 10*f - 12. Let l(c) = b*s(c) + 3*d(c). What is the units digit of l(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d = -85 + 78. Let x(s) = 1798*s - 1797*s + 4 + s**3 + d + 5*s**2. What is x(-6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1338 = 2*i + 396. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/953789 greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43866.\nAnswer: 2, 3, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 20 = 24, 4*l + 10*a - 28 = 0. Solve 2*o = 2*z - 8, -2*o = -4*z + l + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -10*x + 5*x - 10, -2*v - 14 = 4*x. Suppose 4*s - 34 = -2*a, -5*s + s + 19 = -v*a. Let h be 16\/(-28) + 39\/s. Is 0 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of j**4\/6 + 5*j**3\/6 + 3*j**2 - 10*j - 7. Let m(y) be the first derivative of d(y). What is the tens digit of m(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 - -12 - (-47)\/6 - 8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.01, 2\/9, 33, 3 in descending order.\nAnswer: 33, 3, 2\/9, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*l + 2*d, 1 = 4*l - 3*l - d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 12 - 14*u - 12 in the form r*u + w and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1172, 2291, 3360, 4379, 5348, 6267, 7136?\nAnswer: 7955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -2*t - 5*n + 6*n, 5*t = 5*n - 25 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2924\/5 + -575. Suppose -131 - 229 = -36*t. Is t greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/5  (b) 0.05  (c) 7\/93  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*g**2 - 23085*g + 253330.\nAnswer: 5*(g - 4606)*(g - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/(366\/362) - -3. Let r = s + 301\/122. Sort 2\/5, -2, r in descending order.\nAnswer: r, 2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -b + -3957b427?\nAnswer: -3957b436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**2 - 5*c - 418. Determine z(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggxx when four letters picked without replacement from ggxggxggggxggggxxgg.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15 + 32. Suppose 2*f = 5*w - 49, -3*w + 32 + 5 = -5*f. What is the remainder when r is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103 a factor of 77763146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 + 101110101?\nAnswer: 101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes before 3:39 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fhh when three letters picked without replacement from {h: 3, f: 9}?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j**3\/4 + 18*j**2 + 849*j - 21420 = 0. What is j?\nAnswer: -34, 28, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -83*f + 83*f + 3*f**4 - 2*f**4 - 4*f**4 + 4*f**4 + (-2*f**2 - 3*f**2 + 2*f**2)*(8*f + 5*f**2 - 8*f).\nAnswer: -14*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 23 + 94 = 0. Suppose -3*c - a = -6*c. Suppose 2*n - 2 = p - c, p - 4*n = 19. Solve 0 = p*l - 1 + 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddadaaq. Give prob of sequence aqda.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 9195605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 + 11*k**2 - 18*k - 2. Calculate u(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81439?\nAnswer: 81439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 243, 16, 0.3, 4 in decreasing order.\nAnswer: 243, 16, 4, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-10)\/(4\/(-2)) + 0. Suppose 0 = n - o - 10. Suppose 5*m - n = 15. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**3 + 15*c**2 + 18*c - 31. Let f(x) = -x + 15. Let h be f(17). Let i be h\/(-22) - (-350)\/22. Determine y(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 15, 3*b - 12163101 - 2132908 = 2*x. Round x to the nearest 100000.\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cwccccccwdccp. What is prob of picking 1 d and 2 c?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*g**4 + 47*g**3 + 128*g**2 + 20*g.\nAnswer: -g*(g - 10)*(g + 2)*(6*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 117.001218 + -117. What is i rounded to 5 decimal places?\nAnswer: 0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffffffffffffffffsfff. What is prob of picking 3 f?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1001000010100010011 (base 2) in base 14?\nAnswer: 79d3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1125023?\nAnswer: 61, 18443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -130*b + 3. Let t(q) = -22*q. Let g(a) = 6*t(a) - w(a). Let p(u) = -u + 16. Let s be p(0). Let o = 10 - s. What is g(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1138845 + 1138850.100136. Let g = -10491.9 + 10497. Let p = g - v. Round p to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10010111111000110000111 (base 2) to base 8\nAnswer: -22770607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -93\/4, 2\/19737, 8?\nAnswer: 2\/19737","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: What is the remainder when 174125 is divided by 776?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000421758 to 5 decimal places.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -5 - 0 - (126\/(-36))\/((-2)\/(-12)). What is the nearest to 0.1 in -0.1, -5, h, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02293787 to 3 dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 2 + 16. Solve -m*j + 6 = 24 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9\/2*b**2 + 0*b**3 + 0 - 3*b + 3\/2*b**4.\nAnswer: 3*b*(b - 2)*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 0, -483292 in descending order.\nAnswer: 0, -7, -483292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -2*c - 24. Let s be v(-11). What are the prime factors of (34 + s + 5)*1?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 617 - 207 = 0. Let u = r - 107. What is the greatest common factor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.669676l in millilitres?\nAnswer: 669.676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:59 AM and 2:11 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6989580?\nAnswer: 2, 3, 5, 13, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000003432035 to seven decimal places.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qzc when three letters picked without replacement from {m: 1, c: 2, e: 2, q: 1, l: 1, z: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 43*d - 201. Calculate j(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 603548 to the power of 1\/2, to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (2*1047\/(-6))\/((-2)\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 + (-5)\/2 - 18920\/(-16). Suppose c = -7*w + 4752. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -225 - 4?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -12937, -12897, -12855, -12811, -12765, -12717?\n\"Answer: x**2 + 37*x - 12975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-30*v - 31*v + 60*v - 16)*(-9 - 8 - 14)*(4 - 4 + 3*v).\nAnswer: 93*v**2 + 1488*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8bd22 + 1?\nAnswer: 8bd23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4\/1847 + 3682\/5541. Let y(c) be the first derivative of -3\/2*c**4 - 8 + 0*c**2 + o*c**3 + 0*c. What is the third derivative of y(t) wrt t?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/((-24)\/72))\/((-3)\/(-4)*2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -125798115*f**2 + 203068985*f wrt f.\nAnswer: -251596230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - 1. Let y = k - 0. Solve 2\/9*v**y - 2\/9*v + 0*v**2 + 0 = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 148 a factor of 3648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 4, -3, 13 in descending order.\nAnswer: 13, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 22 - 47. Let l be 19\/(-45) - 5\/u. What is the second smallest value in -0.5, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxnxxxn. What is prob of picking 1 n and 1 x?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3599 + 3609 + (-1 - -5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 59557 and 4?\nAnswer: 238228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 777.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 194, 470, 748, 1028, 1310, 1594, 1880?\nAnswer: 2168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15254 - 6391 = -5*k + 3*n, -4331 = -k + n. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes after 12:49 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (9\/36*8)\/(2\/59701). Suppose k = -h + i, -3*h - 59699 = -k - 2*h. What is k rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkpkkkpkekekeekee.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-18)\/(o**(-9)\/o) assuming o is positive.\nAnswer: o**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/8, -0.19, 210 in descending order.\nAnswer: 210, -0.19, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -405 - -3647\/9. What is the nearest to m in 5, 9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a + 4. What are the prime factors of p(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**3 + 36*k**2 + 41*k - 130. What is g(37)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 6*z**2. Let n(x) = 1 + 14*x**2 - 2*x**2 - 11*x**2. Suppose 20 = f - 6*f. Let j(h) = 3*h**2 + 4. Let s(o) = f*n(o) + j(o). Calculate t(s(b)).\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2 + 123\/(-18) - (-2)\/(-12). Let f(x) = 33*x**2 + 6*x - 5. Let t be f(h). Suppose 8*w - t = 162. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1.206, -0.5, -2\/11, -3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * 0.02505\nAnswer: -0.007515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 8\/1013  (b) -123  (c) 2\/3  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -141*q + 3 + 4*q**3 + 141*q.\nAnswer: 4*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*t = 2*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 9669?\nAnswer: -1\/3223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 129 + -127. Suppose d*n + 2*g + 4328 = 3*n, -2*n + 2*g = -8650. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-40)\/16*(-34)\/68.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4633590?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1260 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*o - 1989 - 2579. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -350*u**4 + 2*u**2 + 2026*u - 1.\nAnswer: -8400*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(3) + 2))**2 - -1*sqrt(12)\/sqrt(4)) + (sqrt(36)\/(sqrt(2)*-2))\/(sqrt(24)\/(sqrt(4) - (sqrt(4) - sqrt(4)*1))).\nAnswer: 63 + 73*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 36 in -3, -0.4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 53\/15 + -2 + 62\/(-465)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -34  (b) -0.92  (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (20\/320 - (-507448)\/128)*(-52)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y - 2*y = 50. Suppose -13*g + y*g + 30 = 0. Let k be (-5)\/g*-2*(-52)\/(-2). What is the highest common divisor of 65 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ihy when three letters picked without replacement from {y: 1, l: 9, h: 5, i: 3}?\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.1, 3, 41\/16, 18, 0, 4, 10\/37?\nAnswer: 41\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes after 5:06 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 25732*c - 257081. Determine v(10).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -4  (b) 0.2  (c) -4\/3  (d) -248  (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1029)*-1 - sqrt(1029))\/sqrt(3) - (sqrt(847) + 2*sqrt(847)*6)**2) + -2*(((-3*-2*sqrt(77) - sqrt(77)) + sqrt(77) + sqrt(77))\/sqrt(11))**2*6.\nAnswer: -147259 - 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4764946172?\nAnswer: 2, 7, 170176649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -2*f**3 + 3*f**2 + 57*f - 196. Calculate l(4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 + 169c2?\nAnswer: 169c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i + 4, 2*p - 2*i - 2*i - 80 = 0. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 137719, 137718, 137717, 137716, 137715?\nAnswer: 137714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 1186 - 2370 + 2*y + y**2 + 1180 in the form m + x*y**2 + s*y and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -30 + 32. Suppose 5*p = -s*g + 44, 3*g + 31 = 5*p - 28. Solve h = -h - p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -131860 + 131860 = 7*l. Let y(z) be the first derivative of 41 + l*z + 31\/4*z**4 - 2*z**2 + 0*z**3. Find the second derivative of y(s) wrt s.\nAnswer: 186*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 4*z**3 + 3*z**2 - 2*z + 2. Let n be ((-10)\/20)\/((-2)\/(-12)). Let w(b) = 5*b**3 + 3*b**2 - 3*b + 2. Give n*m(d) + 2*w(d).\nAnswer: -2*d**3 - 3*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of -3*j**4\/2 - 5*j**2\/2 - 5*j - 158. Let d(o) = 21*o**3 + 18*o + 18. What is 5*d(w) + 18*r(w)?\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**2\/7 + 20226*m\/7 + 10114\/7.\nAnswer: -2*(m - 5057)*(2*m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f, -3*f - 145 = 5*v + 65. Which is the smallest value?  (a) v  (b) -0.5  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l - 695 + 4300. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2516703\/2 - 30122765\/24. Let x = p - 3237. What is the common denominator of 69\/14 and x?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 426 and -2.\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lqc when three letters picked without replacement from {c: 1, w: 1, l: 3, q: 1, u: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -1\/5, 0, -6\/13, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.4 - 1.4. What is the closest to -0.3 in -4, y, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(720) + 0 + (sqrt(720) + sqrt(720) + sqrt(720)*-2 + sqrt(720) - sqrt(720)))**2 + 4 + (sqrt(35) - sqrt(140))\/sqrt(7) + (sqrt(405)*2)**2.\nAnswer: -sqrt(5) + 2344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-76)\/(-26) + -2 - (-9)\/117. Let v = 595 + -595. Let l be ((-13)\/4)\/((-2)\/(-8)). Sort l, v, 2, o.\nAnswer: l, v, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (10 - 6) + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 122 = 4*i, 6*i - 253 = -2*v - 215 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 + (-14 - 8) + 4 + (-11 - -3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, v: 4, f: 6, k: 2, a: 2}. Give prob of picking 1 k, 2 v, and 1 a.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -71 - -99. Let b = p - 33. Calculate the common denominator of (b\/(-15))\/((-20)\/3) and 101\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6798894433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6290.467mg to tonnes.\nAnswer: 0.000006290467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -293*y**2. Let o(c) = 1664*c**2. Determine p(o(k)).\nAnswer: -811286528*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -6021333 from 7069.\nAnswer: 6028402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*f + 208*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -203\/203940 and 101\/176.\nAnswer: 815760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 + 8*s**2 - 11*s + 8. Suppose 3*b + 33 = 5*f, -1 = -3*b - 4. What is the remainder when 122\/5 + (-4)\/10 is divided by m(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 2*w + 2 = 0. Let o(z) = -z**w + z + 3*z**2 - 2*z**2 + z**3. Let n(r) = 2*r + 1. Calculate -n(u) + 2*o(u).\nAnswer: 2*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:08 PM and 9:24 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 2*j - 71, 4*i = 2*i - 2*j - 34. Let s = 34 + i. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -97715 divided by 5\nAnswer: -19543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from vohhoodvyhovoo?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 39 and 1885?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n - 3*y + 1769, 2*n - 2018 + 259 = -y. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -71 - -73. Let b be (-32)\/18 + (2 - 0). Let y = 2.1 + -2.5. What is the third smallest value in z, b, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -421*o + 421*o + 376*o**3.\nAnswer: 376*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9\/635 + -3121\/3810. Let j = -40.9 - -0.9. What is the smallest value in o, 0, -2\/9, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/(-155))\/(-12*(-35)\/(-70)).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3020 by -604.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -3*h. Is h at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 336 and 1932.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - -28.56311.\nAnswer: 29.56311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the second derivative of 11*i**6\/15 + 7*i**3\/3 - 9*i. What is the second derivative of w(g) wrt g?\nAnswer: 264*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 0 + 14*z**2 - 43*z**2 + (2 + 4 - 4)*(z**2 - z**2 + z**2) - z + z - z**2.\nAnswer: -28*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 7 = -2. Suppose -2*h - 12 = 4*r, 2*r + 7*h = 2*h - 22. Let t = r + j. Solve -8 = t*u - 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 34 + -88. Suppose -23 = 5*v - n + 68, n - 37 = 2*v. Let h be o\/(-55) - v\/(-99). What is the closest to 3 in h, -2\/11, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(-3\/7)\/v)\/v*v)\/v)\/v**4*((v*v\/(v*v**1*v))\/v)**(-34)*(v**(-2\/9)\/v)\/(v\/(v\/v**(-1\/3))*v)*(v\/v**(-1))**33 assuming v is positive.\nAnswer: v**(7918\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 d when three letters picked without replacement from uuuddduuuuu.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.01 - -0.01. Let z be ((-6)\/(-8))\/(75\/(-50)). Which is the third smallest value?  (a) z  (b) -2  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 6 = 2*m + 2, 4 = 5*m + 2*a. Suppose f + 0*f - 6 = m. Let d be 13\/(-6) - (-1)\/f. Which is smaller: -0.3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/((-864)\/174))\/(21\/(-168)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -7*w + 2. Let v be p(-3). Suppose -31800000 = -v*l + 20*l. Suppose k = -k - l. Round k to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1786164869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 26 + 106. Suppose -6*b = -2*b - 16. Suppose b*k - x = -4*g, 3 = -k - 2. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -56.516 rounded to the nearest integer?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.7 and -0.157.\nAnswer: -0.1099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1716686567 to the nearest integer?\nAnswer: 41433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -26\/11 or -2?\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -4*g + 8. Let q(n) = 11*n - 24. Let p(o) = -8*a(o) - 3*q(o). Let k be p(8). Which is smaller: k or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 50300.89g?\nAnswer: 0.05030089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2742 is divided by 291?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 10\/(-55) + 2048\/11. Suppose -11*m = 221 + x. Let s = 73 + m. Calculate the smallest common multiple of s and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 16 = -4*j, j = 5*j - 4*s - 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 96 - -4?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3110030121 + -11?\nAnswer: 3110030110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -28 - -33. Suppose 0 = -3*k + k - 5*g - 6, -4*k - 22 = u*g. Let z(n) = -6*n - 18. What is the remainder when 87 is divided by z(k)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -389 + 388.550021. Let u = -0.45 - g. Round u to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -606 (base 8) to base 6\nAnswer: -1450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**2 + 1. Let j(m) = -3*m**2 - m + 3. Let c(y) = 5*g(y) - 2*j(y). Suppose -n - 9 = 5*i, -5*i - n + 2*n = 11. Determine c(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/3)\/(23\/207)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/237 at least -1.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 3, 0.4, 7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1483 divided by 24\nAnswer: -1483\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 148267.\nAnswer: 7, 59, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -8511 divided by 3\nAnswer: -2837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -681*m + m**3 + 1014*m - 5*m**3 + 2*m**3.\nAnswer: -2*m**3 + 333*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**3 + 16*o**2 - 16*o + 7. Calculate m(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, -1, -3 in decreasing order.\nAnswer: -1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3838*g = 32975 + 147411 for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45952820?\nAnswer: 2, 5, 29, 79229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-6)\/2)\/(-3)*1. Suppose 0 = -l - a. Is 17 a factor of (22 - (1 - 3)) + l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the third derivative of 7*f**4\/12 + 13*f**3\/6 + 3*f**2. Differentiate v(x) with respect to x.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -163*f + 64*f + 244*f - 158*f.\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand c**2 - c**2 - c**2 + (c - 5*c + 2*c)*(-3 + 3 - c) + 4*c**2 + 4*c**2 - c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 + 43a?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes after 5:56 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (-18 + 6) - (-13 + 1 + -1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 298, 1312, 3874, 8758, 16738, 28588, 45082, 66994?\n\"Answer: 129*c**3 + 111*c + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**5*k*k)\/k)\/(k*k**(-13\/7)*k*k) assuming k is positive.\nAnswer: k**(-29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - 4. Let b = 1 - k. Solve -g = 5*j - 9, -b*j - 3*g + 9 + 8 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*g**4\/3 - 9740*g**3 + 29210*g**2 - 87620*g\/3 + 9735.\nAnswer: 5*(g - 5841)*(g - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 268646.\nAnswer: 2, 7, 31, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -7*c**3 + 29*c**2 + 120*c + 76. What is the tens digit of r(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 25*q - 24*q, -23 = -5*h - 4*q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2*(-3)\/(-18)*51. Let l = 10 - g. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -2*r**2 + 2*r + 5. Let z be t(-3). Let n = 23 + z. What is the remainder when 11 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -22  (b) -5  (c) -264\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10007?\nAnswer: 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10011 + -1110011101111?\nAnswer: -1110100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from osshtzhi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (-4 - (-10 - -3)) - 2 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 - 1461*i + 672*i + 791*i.\nAnswer: 2*i - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 104949, 209889, 314829, 419769?\n\"Answer: 104940*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/12 and 113\/1716.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -13*((-3)\/1)\/(-3)*(-12)\/(-12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**3 + 8*p**2 - 4*p - 32.\nAnswer: (p - 2)*(p + 2)*(p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2380146388.\nAnswer: 2, 271, 2195707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4517968 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*p + 8032*n - 8029*n = 0, -5*p - 2*n - 1 = -0*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -227*u + 225*u = -11518. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 106608, 106611, 106614?\nAnswer: 106617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**2. Let o(r) be the third derivative of 263*r**4\/6 + 87*r**2 - 45*r. Give o(i(c)).\nAnswer: 1052*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0.01  (b) 2\/5  (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 823079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lclcsleqseqqq. What is prob of sequence ssl?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3106 or -2\/265?\nAnswer: 3106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**5*g*g)\/((g\/(g*g*g\/g**(8\/5)))\/g)*(g**(-1\/3)\/g)\/g*g**(-2\/19) assuming g is positive.\nAnswer: g**(1984\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*i - 9*i + 12*i = 0. Solve i = 3*o + 2*a - 0*a + 2, 5*o + a + 1 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -234 - l - 233 + 473. Let f be u(4). Which is the nearest to -3\/5?  (a) -2\/5  (b) f  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 60\/27 + (-40)\/300*15. Let l = 0.6 - 0.1. Which is the second smallest value?  (a) v  (b) -1  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 20\/(-3)*(-27)\/36. Suppose 11 = 5*n - 3*n + 3*m, b*m - 5 = 0. Suppose 3 = -2*z + 3*z - 2*h, 4*z - 5*h - 15 = 0. Sort z, -5, n in ascending order.\nAnswer: -5, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -58\/69 and -9 + (-4790)\/4470 + 10.\nAnswer: 10281","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*a - 410 + 207 + 238 + 0*a in the form c*a + y and give y.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10024 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes before 7:57 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/18 and 33\/6172?\nAnswer: 55548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**2\/2 + 531*a\/2 - 525.\nAnswer: -3*(a - 175)*(a - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17038 - 11459. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 58.413 * 8.26.\nAnswer: 482.49138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 29 - 40. Let w = l - -10. Which is the closest to -1?  (a) 4  (b) 5  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -30*s - 5*s**3 + 39*s + 26*s**2 - 9*s + 4*s**2 in the form g*s**2 + x*s**3 + a + m*s and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -298 + 410. Round k to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 348?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 161 a factor of 25277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = o - 6, -r = -o - 1 - 11. Let x be -3*(-6)\/r - -4. Solve t = 3*n + x + 2, 5*t - 2*n - 14 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 979b016 - 10?\nAnswer: 979b006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 126 - 150. Let h be (2\/n*-6)\/((-1)\/2). Is h less than 1\/117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 - -4. Let h be 0 + -7 - (-2 + 0). Let a = h + 7. Put 0, a, i in increasing order.\nAnswer: 0, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 98*z**5 - 357*z**4 + 277*z**3 + 171*z**2 - 135*z - 54 = 0.\nAnswer: -3\/7, 1, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -919931\/4 + 229983. Factor o**2 - 1\/4*o - 1 + z*o**3.\nAnswer: (o - 1)*(o + 1)*(o + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -j + 5. Let d be 0 - 4\/((-6)\/j). Sort -1, 4, d in decreasing order.\nAnswer: 4, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-172)\/(-164561))\/(2\/(-132)) + (-44)\/(-946)\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(5) + 2 + -4 - (sqrt(90)\/sqrt(2))**2.\nAnswer: -47 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-66)\/(-5) + (-2)\/10. Suppose 0 = -2*r + 22. Suppose 0 = -m - 5*i + r, m + 2*i = -i + h. Solve 0 = -5*z - v - 7, 5*z - 3*v + m = -3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1095036 and 276.\nAnswer: 25185828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - l = -3*l + 4, 0 = 4*z - 4*l - 12. Let b(r) = 6*r - 2*r**z - 6*r - r**2. Let s(d) = 3*d + 121994 - 121994. Give b(s(n)).\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 15\/(-9) - (-5)\/3. Solve c = -4*f - 12*f - 32 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -369*q = 445*q - 6416 - 21260 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 3 = 0, -4*u + 9*u + 5 = -5*y. Is u\/(-6) - 266\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1761052341?\nAnswer: 3, 2693, 217979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1231141 + 823484. Let y = 278657 + p. Round y to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5973356 is divided by 291?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1350857787 to the nearest integer?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -24*y + 120*y - 1056. Let v be 1 - (5 - 2)\/3. Let s be (-22)\/(-6)*(v + 3). Calculate the greatest common divisor of s and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000918668057 to 6 decimal places.\nAnswer: -0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) -1\/4  (b) -5  (c) -1  (d) 1\/2  (e) -0.08  (f) 4\/5  (g) -0.4353\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5893*g + 5364*g - 7935 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 1\/5*h**2 - 6\/5*h + 9\/5 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of -j**2\/2 - 3. Let y be b(1). Let t = y + 3. Are 2 and t non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 4*q - 8. Let j be o(3). Let r(k) = -15*k - 2. Let c be r(-2). Suppose -3*a + c + 2 = 0. Calculate the greatest common divisor of j and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3504427 is divided by 186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 + 1\/(1\/1). Suppose 0 = -q*c + 4. Let h(p) = 3*p**c - 5*p + 5*p. Let f(i) = -i. Determine f(h(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dyyydd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of -3*y - 4 - 1\/6*y**3 + 0*y**2. Let g(u) be the first derivative of n(u). Let h(j) = -6*j. Give h(g(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 49*z**2 + 3*z - 1. Let q be l(-2). Let u be -2 + (q + -2 - -1). Suppose 4*n - u = 82. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 605 = 48. Let y = 941 - b. Find the common denominator of 99\/10 and 4\/(-3)*(-516)\/y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -9*h + 42. What is o(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 - -11. Suppose 0 = -o + q*o + 3*w - 93, 158 = 5*o + 2*w. Let s = -25 + o. Solve 2*m = -3 - s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.18 and -3701.\nAnswer: -666.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.2 take away -623?\nAnswer: 629.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 126423281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*c = 31*c - 16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1644 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -721 + 53439?\nAnswer: 52a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 5:49 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1241 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: Let k(m) = -m - 28 + 33 + 0*m. Determine k(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 875, 1734, 2581, 3410, 4215?\nAnswer: 4990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 4*q**2 - q + 2. Let y = -81 - -203. Calculate the remainder when (1 - 2)\/((-2)\/y) is divided by g(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9306657?\nAnswer: 3, 38299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 + 2. Suppose -796*k = -788*k - 40. What is the second smallest value in s, k, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes after 8:26 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 481e4 (base 15) to base 5.\nAnswer: 24324224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -158, -1257, -4234, -10025, -19566, -33793, -53642?\n\"Answer: -156*d**3 - 3*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 8093, 4, -186, 3 in decreasing order.\nAnswer: 8093, 4, 3, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61183 + 34699 = 4*c + 7294. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 74835, 299374, 673611, 1197546, 1871179?\nAnswer: 2694510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**3 - 12231*y**2 + 24441*y + 36675.\nAnswer: 3*(y - 4075)*(y - 3)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6\/(-4) + 1)*(-5 - -1). Solve 0 = -2*g + n + 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 737 + 583 = -82*p - 28*p. Which is smaller: -17 or p?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -513 smaller than -251090\/489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2961224379 to the power of 1\/2, to the nearest integer?\nAnswer: 54417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 - -9. Suppose 3*p + 4*j - 34 = 0, -z*p = -p - 3*j - 34. Calculate the remainder when 39 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = -192*z + 196*z. Suppose 219 = -z*n + 624. What is the highest common divisor of n and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 34*v**2 + 191*v - 21. Let h be j(-6). Solve -17*g - 11 = h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 1859*x - 3703. Calculate o(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15918\/2057 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 - 11 = -k + 4*q, 20*k - 7*k - 7*q - 3*q - 25 = 8*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 1 + -4 - 9 - ((5 - 27) + 97).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9922 by 41.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 2*q + 12 = 0, -5*z + 6*q = q + 15 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3 + 1)*(-7055)\/(-68)*2. Let q = r - -413. Which is the smallest value?  (a) -26  (b) q  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -75*f + 55*f - 120 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1  (b) -0.1  (c) 44  (d) -0.06  (e) -3  (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -16*v - 43. What is l(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d - 6*d = -20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -54158, -216621, -487404, -866513, -1353954, -1949733, -2653856, -3466329?\nAnswer: -4387158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -12, 0.1, -132, 30768?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*t**2 + t**2 + 3*t**2)*(22*t + 10*t - 47*t)*(-1 - 1 - 4) to the form w*t**2 + x + g*t**3 + s*t and give g.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -154 = -2*w - 5*w. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3319686100 to the nearest one million.\nAnswer: 3320000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -7\/5  (b) -8\/3  (c) 10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 35 - 21. Solve 2*f - 4*n = -x, 2*n = f + n + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes after 4:00 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 126 and 54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 - 11*s**2 - 10*s + 1. Does 5 divide n(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the first derivative of -9*q**2 - 5*q - 24. Is 25 a factor of k(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 80264432\/7 or 11466347?\nAnswer: 80264432\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 69362297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -581 less than -131.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 238687 and 111?\nAnswer: 716061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -100 (base 3) to base 15\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 261000 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 5*s - 83. What is x(18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 863 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 11*r + 45. Calculate k(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1371\/5  (b) 0.12  (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 38\/152*((-1)\/(-1) - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(2\/5)*g**6\/g*(g**0\/g)\/(g\/((((g\/(g**(1\/9)\/g*g*g))\/g*g)\/g)\/g)) assuming g is positive.\nAnswer: g**(58\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 23 in 5, -1, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -143325856833 - 207.7.\nAnswer: -143325857040.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h - h + t + 23, 4*t = -5*h + 8. Suppose -5 = -5*r - 5*f, -3*r = -h*r - 2*f - 3. What is the highest common factor of r and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -2*q**2\/9 + 2434*q + 21820736\/9 = 0?\nAnswer: -919, 11872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-8)*(w*w*w**9)\/w*(w\/w**(-29)*w)\/w**(-8) assuming w is positive.\nAnswer: w**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((30\/8)\/(42\/56))\/(-7 + 8). Solve 10 = -z*m, -4*o - 2*m - 19 = -11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*t - 4*t + 11*t)*(-2*t**2 - t**2 + 0*t**2).\nAnswer: -75*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 7\/54, -2, -54, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2)\/4)\/(11\/44). Let z be 0\/1*2\/(-4). Put z, -9, n in increasing order.\nAnswer: -9, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 85*y**3 - 2. Let g(p) = -3570*p**3 + 85. Give -2*g(h) - 85*o(h).\nAnswer: -85*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 36 = -1139. Let x = 1821\/8 - h. What is the common denominator of 8\/5 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -162.4 minus -5?\nAnswer: -157.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(11) - (sqrt(1980)\/sqrt(5))**2) + (sqrt(99) + -1)**2*-4.\nAnswer: 18*sqrt(11) + 1976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 113 = 14*c + 46 - 339. Solve 18 = 4*y - 3*p, c*y = 32*y + 4*p - 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 6 = -5*o, -4*o = x + 7 + 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:48 AM and 10:26 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000255903 to 6 decimal places.\nAnswer: -0.000256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -15*r + 47. Let c be a(3). What is the third derivative of -16*t**2 + 21*t**c - t**4 + 9 + 24*t**5 + 21*t**5 wrt t?\nAnswer: 2700*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 2*b - 1178 - 1408 = 0, 0 = 3*b + 15. Suppose -4*y - 3*c + 0*c = 1274, 2*y - 2*c + t = 0. Round y to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-282)\/17766)\/(3\/(-21))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**0*t)**(12\/7))**(-3\/5)*(t**(1\/4)\/t*t\/(t\/(t\/(t*t*t**2)))*t)\/(t*t**1*t**(-3)\/t) assuming t is positive.\nAnswer: t**(-249\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put together -722381448 and 0.09.\nAnswer: -722381447.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9950 and 13620356?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91*b + 215077 = 223904 for b.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -50 - -201\/4. Which is the smallest value?  (a) 0.4  (b) o  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 5*x**3 + 7*x**2 - 7*x - 4. Suppose 34*m + 210 = 4*m. Let l(c) = -2*c**3 - 3*c**2 + 3*c + 2. Let a be (-4)\/(4 + -3) - -1. Determine a*n(h) + m*l(h).\nAnswer: -h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1516612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 + 9*p + 4. Let r be o(8). Let f be (r\/10)\/(3\/15). Let c(b) = b**2 - 3*b + 1. Let s be c(4). Solve -s*x = f + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82892055 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: Let y be (-3 + 6 + -4)\/1. Let d be (-1 + 5)\/(3 + y). Suppose -2*n - 3*p = 2, d = 5*n + 5*p - p. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2671828 + -1435.8.\nAnswer: -1435.5328172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - -656562?\nAnswer: 656563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 2*r**3 - 4*r**2 + r + 7. Let z(h) = -h**2 - h. Let w(f) = o(f) - 4*z(f). Let i(t) = 4*t**3 + 9*t + 13. Give 6*i(l) - 11*w(l).\nAnswer: 2*l**3 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001312534 to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, q: 6, e: 3, l: 6}. What is prob of picking 1 e, 1 q, and 1 l?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -8306, -16643, -24984, -33329, -41678, -50031?\n\"Answer: -2*n**2 - 8331*n + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 29461953 and 29461951 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence so when two letters picked without replacement from {s: 9, o: 2, g: 2}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 47 + -42. Suppose 0 = -y*l + 8*l + 18. What are the prime factors of (-39)\/9 + 4 - 302\/l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) 3  (c) 103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -7621 not equal to -7620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2680187500 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 3\/185, -1093.1 in decreasing order.\nAnswer: 13, 3\/185, -1093.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -95 + 95 - 56*x**3 + 4*x**3 - 3*x**3 - 3*x**3 + (x**2 + 0*x**2 + 2*x**2)*(-4*x + x + x) to u*x + o + m*x**3 + b*x**2 and give m.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 640.36 rounded to the nearest 10?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in fifty-nine fifths of a tonne?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -2*c**2 - 11*c - 10. Let t(g) = -2*g**2 - 23*g - 37. Let m be t(-10). Calculate j(m).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((5\/(-27))\/(260\/312))\/((-49)\/(-63))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/7  (b) 0.5  (c) 0.058  (d) -12  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + -1121100120?\nAnswer: -1121100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 8:04 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -195 - 2*v**3 + 188 + 4*v**4 - 2*v**4 - 4*v + 2*v**2 + 2*v to the form s*v**4 + y*v + o*v**3 + k*v**2 + p and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + 3*p + 54, 59 = m - 0*p - 2*p. Suppose -369*d = -401*d - 1533 - 515. Let c = m + d. Solve 0 = z + o - 5, 4*o - 5*o + 25 = c*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -111265, 4.\nAnswer: -111265, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -4\/7  (b) -0.3  (c) -0.1  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2618 times -14?\nAnswer: 3.6652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 700230446?\nAnswer: 2, 19, 23, 801179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 divided by 121?\nAnswer: 23\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 2, j: 1, t: 1, z: 2, i: 1, h: 1}. Give prob of sequence jjai.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 170527907?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 99\/9 - 483\/21. Suppose 0 = -2*n + 8 + 4. Let l be ((-1 - 0) + 1)*n\/f. Is l at least 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 1478 - 1451, 0 = 5*m - 2*x - 12297. What is the remainder when m is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -480 and 0.03?\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 182 and 4466.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 3  (c) -5  (d) 1\/4  (e) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and 5858787?\nAnswer: 5858787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**3 + 3*s**2 + 5*s - 5. Let c be f(5). Let b be (-1)\/2 - c\/12. What is the second derivative of -2*m**b + m - 3*m + 4*m wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**2 - 10*p - 14. Let h be r(-2). What is the third derivative of -33*j**6 + 25*j**6 + 93*j**2 + 2*j**4 - h*j**4 - 183*j**6 wrt j?\nAnswer: -22920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2*(-2)\/4*1. Let s = -54 + 64. Suppose -7*i + 11 = -s. Which is smaller: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/644 and -5\/403844.\nAnswer: 9288412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -12*l**2 + 4563*l + 4561. Give x(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9152489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 60 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 4*r. Let t be w(4). Let c = t - 11. Suppose -p = 4*s - 35, 0 = c*s - 3*p - 42 - 23. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 6*i + 1. Let m(g) = -3*g**2 + i*g - 6*g + g**2 + 1 + 3*g**3. What is the units digit of m(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**2 - 4*h - 93. Let k be l(12). Is (-206440)\/(-80) + k\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 417 + -264. Let v = y - 66. Does 29 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l - 15. Let v be w(-17). Let b be (-54)\/13 + 168\/(-91) + v. Let i be 4*(-17)\/2*2\/b. Calculate the highest common divisor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pauy when four letters picked without replacement from {a: 4, u: 1, p: 6, y: 3}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 7163 times -0.6?\nAnswer: -4297.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -59.2336 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19\/2 + -5\/4. Calculate the common denominator of -49\/37 and l.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -8202 at most as big as -8197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1477949 + -1477947. Factor -29\/2*n**c - 55\/6*n - 3\/2 - 3\/2*n**3.\nAnswer: -(n + 9)*(3*n + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 3*p + 218. What is the remainder when f(-6) is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 445 + -794. Let h = 349.00000005 + t. What is h rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + k - 4 = 0, 4*p = p + 4*k + 22 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 10*z**2 + 69*z - 10. Let m be i(-10). Suppose 5*v - 237 = v - n, 4*n = v - 72. Calculate the greatest common factor of v and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 9 - 3 = 0. Let y be x*(-8)\/(-36)*-3. Let j(q) = -q**2 - q + 1. Determine j(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c**2 - 2827125*c + 19789826 = 0. What is c?\nAnswer: 7, 2827118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 20025 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3072688180?\nAnswer: 2, 5, 359, 427951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 256 and 832?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -7*r + 31. Let k be c(4). What is the closest to -20 in -4, k, 0, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1861, 3725, 5591, 7459, 9329, 11201?\nAnswer: 13075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 134*a - 72*a = -328*a + 1950 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-44)\/1*5\/(-10). Suppose -5*m = 5*k + 50, 2*k + 3*k + 2*m + 53 = 0. Let z = i - k. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 = 2431\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 174660 divided by -34932?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/((t\/t**(2\/9))\/t)*t**0*(t**1)**(-37)*(t\/((t\/((t\/t**(-4\/3))\/t))\/t)*t\/t**(-1\/2))\/(t\/(t*t**(-5))*t**(-1\/4)) assuming t is positive.\nAnswer: t**(-1321\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -6, 2\/9, 4\/815?\nAnswer: 4\/815","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 + -1)*-492*(-4)\/4. What is the common denominator of -95\/68 and ((-10)\/35)\/((-96)\/x)?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.245489437 to two decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the second derivative of 8411*j**6\/30 - j**4\/2 - 7*j**3\/6 - j**2\/2 - 491*j - 3. Find the third derivative of h(d) wrt d.\nAnswer: 201864*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2289b3 + 15?\nAnswer: 228a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -1387, 0.2, -0.1, 8.1 in ascending order.\nAnswer: -1387, -0.1, 0.2, 2\/7, 8.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 83 = 3*g - w, -4*g = w - 119. Suppose 0 = 3*i + 6*z - 4*z - g, -5*z = -10. Is (-4440)\/(-21) - (i\/(-21))\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*t**2 - 18*t**2 + 13*t**2 - t as i + b*t + q*t**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7640a (base 14) to base 9.\nAnswer: 475486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3 + 2 + 2)*-1. Let y(q) = 2*q**2 + q + 7 + 2*q + 7*q - 4*q. Is y(i) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 4, 101, 9, -3\/5 in ascending order.\nAnswer: -8, -3\/5, 4, 9, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = i + 5*l - 0, -2*i + 2*l = -2. Suppose -3*y + i*y = 2*y. Solve 4*g = -y*g + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -10*f**2 - 945*f + 1135. Let k(r) = r**2 + 104*r - 126. Let h(y) = 55*k(y) + 6*s(y). Solve h(a) = 0 for a.\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 4 = -4*f, 0*f + 5 = f + 3*d. Let u be (4\/5)\/(f\/5). Let g be (-5)\/3 - u\/6. Which is bigger: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10?  (a) 20\/7  (b) 3\/7  (c) -213.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5591*h**2 + 3068.\nAnswer: -11182*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2819 divided by 62?\nAnswer: -2819\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*a - 8*a + 5*b, 3*a = -2*b + 14. Suppose -3 = a*y - 3*y. Suppose g - 8 = -y*g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -2370 = -2369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 20.77671 to one decimal place.\nAnswer: 20.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 399 divided by -3\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 478354580?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3690 in -0.4, -1\/2, -1, 1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1250 - -1819. Suppose -5*n - 4*k - 1427 = 0, -5*n = -7*n - k - s. What is n rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 356614040.\nAnswer: 2, 5, 19, 469229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3035 - 2087. What is the highest common factor of 395 and z?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.05 - -2.05. Let z = 3.86 + -3.76. What is the nearest to m in -0.05, -3\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 18*a. Let o(s) = 14*s - 14. Let q(i) = -7*i + 6. Let z(y) = 3*o(y) + 7*q(y). Give m(z(g)).\nAnswer: -126*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 2*q = 2*n - 26, 3*n = -q + 19. Suppose 3*z = -3*r + 592 - 118, -174 = -z - 5*r. What is the smallest common multiple of z and n?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-70)\/(-17) - (0 + -3 + 7). What is the smallest value in -3\/2, i, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.01 - -0.81. Let o = -3.2 - u. Let p = 22022 - 110117\/5. Put -0.1, p, o, 0.3 in decreasing order.\nAnswer: 0.3, -0.1, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -o + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.82 + -1.75. What is the second biggest value in a, -1\/4, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -s**2 + 100*s - 99 = 0. What is s?\nAnswer: 1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -0.56  (b) -0.1  (c) 12  (d) -2\/15  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/7 - (-1211)\/(-49)*-1. Solve -5*m - y = u, 5*y = 2*y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of ((-13)\/(-39) - 1\/(-3))\/(32\/9360)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -9*s**2 + 12*s + 7. Let i(x) = 6*x**2 - 8*x - 5. What is -7*i(v) - 5*u(v)?\nAnswer: 3*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*h + 2 + 164 = -162 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -1901*q + 11505. Give a(6).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 12120.\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1852 + 1856. Solve -g - 15 = 4*z, 3*g - z - 6 = m*z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) -1.1  (c) -2\/9  (d) -0.58  (e) -167\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 426*m - 106*m - 113*m - 112*m - m**3 - 95*m.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7252.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-8)*2*-8. Let k be (380\/50 + -7)\/(2\/10). Let h be -1 + (f + 6)*k. Solve 0 = h*t - 2*t + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1340 - -1338. Let x be (-72)\/(-105) + 2\/(-5). Which is the closest to -0.1?  (a) x  (b) u  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -7*q**2 + 7*q - 53. Let a(u) = 20*u**2 - 20*u + 158. Let f(x) = 6*a(x) + 17*n(x). List the prime factors of f(9).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1171, -1169, -1165, -1159, -1151?\nAnswer: -1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 - 2*x**2 + x**2 - 8.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -67 (base 16) to base 15\nAnswer: -6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -461 - -466. Suppose 4*m + 5*k = -0*m + 3081, 3*m = o*k + 2337. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 7 = -3*z, 2*o = z + 4*o - 5. Suppose 3*q - 2*q - z = 2*x, q = -x + 13. What is the remainder when 44*q\/((-18)\/(-4)) is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 11  (b) -1  (c) -6\/19  (d) -4  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 101420780 or 101420781?\nAnswer: 101420780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**3 + 1332*b**2 + 5376*b - 23080960.\nAnswer: -4*(b - 224)**2*(b + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 96*m - 9*m - 140 - 208 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 13, 4, -2\/43, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 25297950413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 295*k**3*z + 66*k**2 - 4*z wrt k.\nAnswer: 1770*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = 5*y - 70, -2*g = -3*y - 7 - 26. Calculate the highest common factor of 150 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 379 - 155. What is the greatest common factor of 14 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(-9\/7)*s*s**(-1\/2)*(s\/(s**(-1\/7)*s)*s)**(2\/9))**(-33) assuming s is positive.\nAnswer: s**(-4213\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3567?\nAnswer: 3, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 11*r**3 + 40296*r**2 + 332685*r + 292400.\nAnswer: (r + 1)*(r + 3655)*(11*r + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 319329 is divided by 1516.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the first derivative of -o**5\/120 + 3*o**4\/8 + 4*o**3\/3 - 5. Let u(m) be the third derivative of a(m). What is the units digit of u(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(-3 + (-14)\/(-5)). Suppose k*y - 68 - 12 = 0. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 9*y = -1162. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 4*h**2 + 7*h + 6. Suppose -3*k - 21 = -5*m, -4*m = -5*m + 5*k + 13. Let o(s) = -2*s**2 - 4*s - 3. Give m*t(g) + 5*o(g).\nAnswer: 2*g**2 + g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 87 divide 172782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -9  (b) -1\/2  (c) 1  (d) -204  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 260110548?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1838 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.242 - -0.042. Which is the nearest to 3?  (a) r  (b) -0.4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -20 - -16. Let i = -28 - -23. Which is the third biggest value?  (a) -10  (b) j  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16.12993 days to milliseconds.\nAnswer: 1393625952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -146*b**2 + 288*b**2 + 2 + 793*b - 141*b**2 to q*b + l*b**2 + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, -0.2, 2\/7 in decreasing order.\nAnswer: 2\/7, -0.2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8144 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 19155717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = -z + 8. Suppose k - z = -3. Suppose 0 = 4*b - 24*b + 160. Solve 2*w = t - 12, b = k*w + 33 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.372 and 0.76.\nAnswer: -0.28272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rjj when three letters picked without replacement from {j: 7, y: 2, r: 4}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 2*o - 987 + 153 = 0, -4*o + 840 = q. What is the highest common divisor of 44 and q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 113 divide 31688115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (13 + -1 + 14 + -7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -6938 - 6944 + 13877. Let s(z) = z. What is -m(u) - s(u)?\nAnswer: -u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 33 - 338?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 750*t + 15*t + 1885*t = -2338*t + 319232 for t.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 7*c**3 + 3*c**2 - 8. Let f(s) = -8*s**3 - 2*s**2 + 8. Let p(i) = -3*f(i) - 2*y(i). What is the first derivative of p(w) wrt w?\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -342*a - 341331. What is g(-998)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2343 - -3?\nAnswer: 2346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -153918148, -153918146, -153918144, -153918142?\n\"Answer: 2*h - 153918150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -2*a**2 - 5*a - 6. Let b(v) = -5*v**2 - 13*v - 16. Let n(p) = 3*b(p) - 8*w(p). Let t(z) = -2*z**2 - z. Calculate n(d) + t(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q + 12, 4*z - 3*q - 12 = 5*z. List the prime factors of z\/(-1*(-18)\/(-3522)).\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -24 + 27. Suppose 17 - 5 = j*q. What is the tens digit of 62 - 1*(q - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 138553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -18 at least -8033429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -40*m**3 + m**2 + 24*m - 4. What is the tens digit of n(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - z = 1, z = u - z + 2. Suppose 0*b + 48 = u*b + 4*x, 12 = -4*x. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**2 + 7*u + 8. Let k be j(-2). Let p be k\/(-4) + 15\/10. Let n be p - (-7 - (0 - 0) - 3). Solve -6*r = -2*r + n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97 less than or equal to 108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5276 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 31*q**3 - q. Let f be h(-1). Let l = f - -43. Let n be 114 - ((-10)\/2 + 2). Calculate the greatest common factor of n and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {y: 7, b: 12}.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26061.\nAnswer: 3, 7, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 + 20*k**2 + 35*k - 22. Calculate r(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -155 divided by -17?\nAnswer: 155\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(76)*2 + -2)*5 + 5.\nAnswer: -6 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12 + 19. What is the lowest common multiple of 9 and p?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1101111 + 122?\nAnswer: -1100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 827 + -829. Let v(m) = -8*m - 1. Determine v(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -155 + 155.106. Let o = q + 0.194. Let n = -0.11 + 0.61. Which is the closest to -5?  (a) -2\/5  (b) o  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -49.6 + 27. Let c = p + -2.2. Let l = 5.3 - c. What is l rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 + -17. Let o be u\/(-1) + 3\/(-3). Let d(k) = 14*k**2 - 55*k - 2. Let j be d(4). Solve 3*f = o*f - j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from {c: 1, b: 1, f: 1, g: 2, l: 1, u: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 249533 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (12*l**2 - 30*l**2 + 19*l**2)*(3*l + 0*l - 6*l) + l**3 + l**3 + 0*l**3 in the form a + b*l**2 + f*l + j*l**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes after 4:55 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/15681 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(-2\/29))\/z*z\/(z\/z**(-1\/32))*z)\/(z**(-1))**(-3\/31) assuming z is positive.\nAnswer: z**(27069\/28768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8 - (2 - -4) - -476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, -326, 11451.\nAnswer: -326, 22, 11451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*s + 56*s = 4*o - 35, -75*o - 5*s = -615 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 2*g, 5 = 4*g + x + 1. Solve 2*s - 7*s + 18*s**g - 16*s - 6*s**2 - 6 = 0.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n - j + 7, -21*n + j + 11 = -19*n. Solve 2*y = y - 4*d + 15, 2*y + 3 = n*d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8498, -16986, -25466, -33938, -42402, -50858?\nAnswer: -59306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -51 - -27. Let j = k - -25. Let r(n) be the second derivative of -7*n**4\/12 - n**2\/2 + n. Calculate r(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 7035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wnwwwnjnewwwwwne. Give prob of picking 1 w and 1 n.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -59, -0.5, -229?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -4*r - 7. Let x be (-2 - (-3 - -2))*-5. Suppose x*p = 3*p. Suppose p = 6*d - 3*d - 21. Let g(s) = s + 2. Determine d*g(q) + 2*u(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -13 - 12, 5*v - 3*r = 75. Are v and 12 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b + 12*b + 1926000 = 0. Round b to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y**3 + 0*y**3 - 3*y**3)*((-9*y**2 + 10*y**2 + 23*y**2)*(-2 + 5 - 1) + 4*y**2 + 0*y**2 - 2*y**2).\nAnswer: -100*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7.2 + -1.8. Let q = t - -10.7. Let n = 4.7 - q. Which is the smallest value?  (a) 2  (b) n  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - -1. Let l(s) be the second derivative of 1\/6*s**3 + 3*s + 1\/2*s**2 + 1 - 1\/12*s**4. What is l(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 27 = -17 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/13748 and -51\/652.\nAnswer: 2240924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -5*z + 5. Let w be g(15). List the prime factors of (w + -7)\/(5\/(-10)).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 5*j - 0*z - 10, -3*j - 3*z + 6 = 0. Let g(i) = 2*i + 1. What is g(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y\/y**(-13))\/((y*y*y**(3\/11))\/y*y))**(-1\/17))**(3\/22))**(-1\/16) assuming y is positive.\nAnswer: y**(387\/65824)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * 1.13761\nAnswer: -0.227522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -10\/3829, 5, 1.5, 2 in ascending order.\nAnswer: -10\/3829, 1.5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -19 + 33 + -11 + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1642 + -577. Suppose 0 = -34*q + 39*q + s. Do 2\/7 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -57.46789662 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 11010110000011100 (base 2) in base 16?\nAnswer: 1ac1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60 is divided by 35.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 240807\/2185 + -4\/437. Let j = -111 + y. Let d be (-8)\/28 - 74\/(-14). Which is the smallest value?  (a) j  (b) d  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 21586, 43239, 64892, 86545, 108198, 129851?\n\"Answer: 21653*g - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1033971 is divided by 93990.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 887969 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 14 = 3*q, -j + 0*j - 20 = -5*q. Let t(z) = 1 + z**2 + z**3 + 0 + z - q*z. What is t(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74*q**3 - 535*q**2 - 538*q**2 + 1073*q**2 + 80*q**3.\nAnswer: 154*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -153 + 156. Suppose 2*n + 4*g = -28, w = -n + 3*g + 14. Which is the closest to -1?  (a) 2\/73  (b) -1  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 291 divide 2339855009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of o**5\/15 + 4*o**4\/3 + 5*o**3 - 27*o**2 - 85. Factor y(n).\nAnswer: n*(n - 2)*(n + 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15020 divided by -3755?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -16, -191, -388, -607?\n\"Answer: -11*y**2 - 142*y + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 - -10. Suppose u - 10 = c, h*u + 2*u = 4*c + 10. Let b = u + -11. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7481 + -7489. Which is the third biggest value?  (a) -2\/25  (b) 0.07  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k + 4. Let g be z(0). Let s = -3 + g. Let b(y) = 10*y + 1. What is the tens digit of b(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 5 = k. Let j be k\/15 + 23\/(-5). Let a(w) = -8*w - 3. Is a(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 2*t = -3*t - 5, -4*w + 16 = -2*t. Let n(p) = -4*p + 5. Let f be n(-4). Suppose -z + f = -w*v, -4*z + 4*v = -6*z. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(160)*1 - sqrt(40))\/(sqrt(32)*-4 + sqrt(8)).\nAnswer: -sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 869 + -83471\/96. Find the common denominator of j and 99\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of 19*o**3\/3 + 661*o**2\/2 + o + 95. Is l(0) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27972 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: Simplify (p\/((p\/(p**29\/p))\/p))**(10\/11)\/(p**(-3\/22)\/(p**(-37)*p)) assuming p is positive.\nAnswer: p**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 10*g = 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the first derivative of y**2\/2 - 4*y - 2. Let n be t(2). Let g = n - -3. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.058, 4, 0.238, 3, 130?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -o + 2*c + 210, 2*c + 138 = 2*o. Suppose -99*m - 1632 + 12228 = 5052. What is the greatest common factor of o and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*r - 117 = 12*r. Solve -2*w - r*w = -9*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*k - 25*k = -17*k - 188 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 2, 287, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = v - 5*v. Let g be 2*v*(0 - 1). Let a be 25\/70 + (-1)\/g. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1718?\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -234986, -240013, -245038, -250061, -255082, -260101, -265118?\nAnswer: -270133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:10 AM and 12:42 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -47 + 42. Which is the nearest to 2?  (a) -2  (b) 2  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-9)\/30)\/((-9)\/15). Let d be 63\/70 + 2\/(-4). Let z(r) = -r - 2. Let p be z(-3). What is the closest to m in d, p, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 1 = 3*c. Let a = 0.05 + -2.05. Is c not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -296100 to the nearest ten thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14 and 3661?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 641221183 to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -67055 < -98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 3*j**3 + j - 1. Let l be x(1). Let p(k) be the second derivative of -1\/20*k**5 + 2\/3*k**3 + 1\/6*k**4 - 1\/2*k**2 + 0 - 60*k. What is p(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 196 a factor of 34349392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n**2\/23 + 8912*n\/23 - 44610\/23 = 0.\nAnswer: -4461, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-44))\/(3\/(-8)*1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = l - 4. Let y(p) = p + 1. Let i(j) = 3*j + 3. Let k(r) = -3*i(r) + 8*y(r). Calculate k(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 420618 is divided by 54.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1000 (base 4) to base 2\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v**2 + v**2 - 5*v**2)*(-22*v**2 + 0*v**2 - 23*v**2).\nAnswer: 180*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -54, 835, 3270, 8025, 15874, 27591, 43950, 65725?\nAnswer: 93690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = 3*n - 660. Suppose 174 = 4*p + 2*j, 3*j = -5*p - 0*j + n. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, w: 3, z: 1, n: 1, i: 3, v: 1}. What is prob of sequence iwwn?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(121) + 2*sqrt(121))*3 + sqrt(121))\/(5*sqrt(33)\/sqrt(3)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 3, 0.2, 18, 155, 133, 5 in decreasing order.\nAnswer: 155, 133, 18, 5, 3, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 8892\nAnswer: 5\/8892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**10*r)**(-4))**(-2\/7) assuming r is positive.\nAnswer: r**(88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 4377 + 501*n**3 - 4377 + (2*n**2 - 4*n**2 + 3*n**2)*(-n + 2*n + n) as h*n**2 + j*n**3 + b + m*n and give j.\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -q - 4. Let m be (4 - (-4)\/(-2)) + q. Suppose 4*z = a - m*a + 219, 0 = 2*z + 5*a - 127. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 177 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3623 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*h + 217*h + 41212 = -6*h + 22662 for h.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 333079 is divided by 4804.\nAnswer: 1603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1032354.\nAnswer: 2, 3, 83, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 11113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1011011010110100 (base 2) to base 4.\nAnswer: 23122310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 334063, 1336246, 3006553, 5344984?\n\"Answer: 334062*m**2 - 3*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 199333921555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + 6 - -29 - -7?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -52*u + 22. Give z(-4).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 22589 from 143.2.\nAnswer: -22445.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8 by 412491.\nAnswer: -8\/412491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-77 - (-173 - -60)) + -22 + 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 3*v - 1998 = 0, -4*s = -v - 2651 - 1365. Suppose -d + 5*w = -256, 4*d - w + 0*w = s. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24944 and 112248.\nAnswer: 224496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 427784.\nAnswer: 2, 7, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -2*d + 7, -d + 1 = -2*d - 3*h. Let o = d + 1. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20 (base 9) to base 11.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.6 times -0.4\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4319 - 2115. Does 58 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m + 22. Let k be v(-8). Suppose 2*q + 15*x - 20*x - k = 0, -q = x. Which is the second smallest value?  (a) -3  (b) 13  (c) q  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**3 - 61*l**2 + 126*l + 31. What is h(59)?\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b + 5997*b**2 - 1 + b. Let g(x) = 29984*x**2 - x - 5. Let a(y) = 2*g(y) - 11*u(y). Let m be a(1). What is m rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xppqqxqqg. Give prob of picking 2 q and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 3:29 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.06477046 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 882.7098 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(360)\/(sqrt(6)*-4) - sqrt(60)) + sqrt(60) + (-5*sqrt(4860) - sqrt(4860)))\/(-1*sqrt(1728)*-1*1).\nAnswer: -217*sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2795 is divided by 85.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-55)\/(65450\/136)*-10)\/((-8)\/14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 112 and 80?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5556 - -12050. What is the greatest common divisor of n and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 412.789171 to the nearest 10.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -46825406*q**5 - 2*q**2 + 2*q + 72715 wrt q.\nAnswer: -2809524360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -7*o - 1. Let v = 66 - 65. Let z(x) = -x. Let s(k) = v*b(k) - 4*z(k). Determine s(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129\/2*s**2 - 3\/2*s**4 + 3\/2*s - 63 - 3\/2*s**3 = 0 for s.\nAnswer: -7, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2200)\/(-8))\/(15939\/(-4347))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12)*1)\/sqrt(6) + sqrt(2) + ((sqrt(14)\/sqrt(7) + sqrt(2))*2 - sqrt(2)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3.4 - 0.6. Let s = -0.42 + 0.02. Which is the biggest value?  (a) 0  (b) u  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 17*k**2 + 3 + (-118*k**2 - 274*k**2 + 126*k**2)*(0 - 1 + 0 + 4 - 6 + 0 + (1 + 2 - 4)*(-2 + 0 + 1)) + 3*k**2 - 2*k**2 + k**2.\nAnswer: 551*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (30071 - 10*b + 30403 - 59806)*(-2 + 0 + 5) to the form s*b + u and give s.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -2*r**3 - 7*r. Let q(w) = -3*w**3 - 13*w. Let p be (-15)\/10 - (44\/8 + -14). Determine p*u(c) - 4*q(c).\nAnswer: -2*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11674 + 17750. List the prime factors of v.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 63\/23 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y*y*y\/y**(-8)*y*y*y*y\/y**6*y**(1\/8)*y*y**(2\/3)\/y)\/((y\/y**(2\/7)*y**(-2\/19))\/(y*y**0)**(4\/13)) assuming y is positive.\nAnswer: y**(435307\/41496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/4*304\/266. What is the smallest value in -5, -0.3, a, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4\/3*x + 2\/3*x**2 - 10 = 0. What is x?\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2643*m + 162 = -2616*m. Let h(o) = o. Let s(w) be the second derivative of -w**3\/6 - 5*w. Give m*h(d) + 5*s(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 2*z + 2*y, 5*z + y - 17 = 7. Suppose z*p - 128 = 12*p. Does 11 divide (1035\/(-60))\/(6\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + -131103321102?\nAnswer: -131103321112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 105\/(-7)*(13 + -1). Let a = h + 78. Let b = -71 - a. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + 2. Let i = n - -1. Let t = -5 - -5.1. What is the third smallest value in t, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = s - a + 6*a, -5*s = 4*a - 6. Find the second derivative of -20*d + 17*d**3 - d**2 - 3*d**2 + 4*d**s wrt d.\nAnswer: 102*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 2*y**2\/7 - 10658*y\/7 + 10656\/7 = 0.\nAnswer: 1, 5328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -124726260 + 0.853\nAnswer: -124726259.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*c**2 - 84695 + 84695.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the third derivative of 0*t**3 + 19\/6*t**5 + 0 - 173*t**2 + 1\/210*t**7 + 19\/20*t**6 + 0*t + 0*t**4. What is the third derivative of n(v) wrt v?\nAnswer: 24*v + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 314057.\nAnswer: 59, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 y when two letters picked without replacement from {y: 2, j: 8}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = n - 3*l, n - 8 = -0*n - 3*l. Suppose 5*t + 3*r - 1186 = -341, n*r = -3*t + 508. Does 22 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -3*d - 1. Suppose 3 = -3*k + 18. Determine b(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/32)\/(222\/288*6)?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.08 - 0.38. Let q = 41.17 - 41. Let g = q + -0.07. Which is the nearest to g?  (a) d  (b) -3  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 986105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -132\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 19948731?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g - 1. Let j(h) = 3*h + 4. Let z(m) = -6*m - 8. Let a(i) = 11*j(i) + 6*z(i). What is -3*a(k) + 12*x(k)?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the first derivative of -86*a**6\/3 + 7*a**2\/2 - a - 191. What is the second derivative of p(i) wrt i?\nAnswer: -3440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 275, 461, 771, 1205?\nAnswer: 1763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -ebb81b7 - -1?\nAnswer: -ebb81b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 PM and 5:19 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 76314 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*i + 40 = 14*i + 4*a, -5*a + 17 - 2 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 36186849 a multiple of 1578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 33\/6176 and 59\/10.\nAnswer: 30880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**2 + 267*y + 17812. Give j(-129).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*(-2)\/(-4)*(-16)\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000298 rounded to six decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 429290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.1 - 4.1. Which is the biggest value?  (a) h  (b) -0.2  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2205) + -1)**2.\nAnswer: -42*sqrt(5) + 2206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12766786.\nAnswer: 2, 29, 43, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 14 = 5*w, 3*w - 12 = -w - 3*m. Let t = w - 18. Is (-220)\/t + 2\/3 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.5 - 0.5. Let u = -0.3 + o. What is the second smallest value in 1, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**3 + f - f)*(1 + 0 - 2) + (2*f + f - f)*(3*f**2 - 2*f - 3*f**2 + 2*f**2).\nAnswer: 3*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -23*a**4 + 39*a**3 + 41*a**2 - 39*a - 1. Let t(v) = -3*v**4 + 5*v**3 + 5*v**2 - 5*v. Let w(z) = 6*g(z) - 51*t(z). Factor w(r).\nAnswer: 3*(r - 1)**2*(r + 1)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/10*440*114\/5472?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - (1 + -135)) + -13579 + 13542?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the first derivative of 2*g + g**2 - 1\/3*g**3 + 4 - g**4. List the prime factors of q(-2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/186 and 17\/321648?\nAnswer: 9971088","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: (34\/10)\/(((144\/135)\/(-8))\/((-30)\/(-45)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3717551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((l*l**(1\/5))\/l)\/l)**0*(l\/((l**(6\/5)\/l)\/l*l))\/l**(2\/13))**(-26) assuming l is positive.\nAnswer: l**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 - -2. Let u be 135\/25 - (-8 - -13). What is the closest to 2 in -1\/2, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3301 + 5965. Let b = -10 + 6. What is the units digit of d\/60 + b\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (1 + sqrt(125) + 2 - sqrt(125)) + 2)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 11\/2 of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**2 - 12*i + 4. Let m(p) = -1. Let f(g) = c(g) - 4*m(g). Let l be f(11). What is the third smallest value in l, 0.5, 1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -ba1 + -1?\nAnswer: -ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(7488)*1 - sqrt(7488)) + 4*-2*sqrt(7488))\/((6*sqrt(576))\/(sqrt(9) - sqrt(54)\/(-1*sqrt(6)))).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-one quarters of a tonne in kilograms?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 + 5*t**2 + 7*t + 1. Let z be c(6). Let k(i) be the third derivative of i**4\/24 + i**3\/2 - i**2. What is the units digit of k(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25614\/(-113840)*(5 + 0).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -27 times -198053\nAnswer: 5347431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2216, 5, -16, 1 in descending order.\nAnswer: 2216, 5, 1, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -330 - -329.7. Which is the closest to -1\/4?  (a) 0  (b) q  (c) 4  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13*(-84)\/546 + (-116)\/(-57)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the first derivative of 2\/15*r**5 - 2\/3*r**2 + 0*r + 10\/9*r**3 - 18 - 2\/3*r**4. Factor x(p).\nAnswer: 2*p*(p - 2)*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -3*n, -3060 = -5*i + n. Suppose -j = 2*j + i. Let m = j - -294. Is m a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 4 = 3*l. Suppose 0 = 3*j - 5*m - 15 - 17, -l*m - 12 = j. Suppose 4*z - 19 = -3*g, -g = z - j - 0. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*f**2 - 9*f**2 + 15*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -2*u - 8. Let k(f) be the second derivative of -2*f**3\/3 - 15*f**2\/2 + 2*f. Let q = 305 - 316. Determine q*v(o) + 6*k(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, -7, -5, -0.4, 4, -0.455496?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*z + 13. Suppose -3*s = -4*a - 10 - z, a = -1. Suppose 230 = 3*j - p, -s*p = -3*j - 0*p + 226. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -239*a = -187*a + 208 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - -2) + -1 + -2 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - 2) + (5 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -4  (b) 2  (c) 0.3  (d) -0.2  (e) -0.145  (f) -499\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*d + 29*d = 3*w - 900, -2*w - 1376 = 3*d. Let z = 561 + d. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*u - 26156 = -226*u - 1035*u + 6319 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9080\/3 - -3028. Let t(h) be the first derivative of 0*h - p*h**6 + 0*h**3 - 13 + 1\/2*h**4 - 6\/5*h**5 + 0*h**2. Factor t(f).\nAnswer: -2*f**3*(f + 1)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 4*g - 150 = 0. Let a = -46 - g. Suppose 0 = 3*t + 4*i - 68, 3*i = 2*t + a*i - 52. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 32\/(-29) - (-6 - -5 - -1). Let l = 2933\/522 - f. What is the common denominator of -2 + -14*3\/(-20) and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9413\/60 - 460\/3. Calculate the common denominator of k and 79\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0024333779 rounded to four dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 91, 189, 287?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -79.5 + 72.8. Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, -4, -367 in ascending order.\nAnswer: -367, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 62186218*k**2*r - 22572058*k*r wrt k.\nAnswer: 124372436*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a + 23. Suppose 4*g = g. What is the units digit of q(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -0.067, 2, 4, 776?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 99.46988mg in kilograms?\nAnswer: 0.00009946988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 27101, 0.58 in increasing order.\nAnswer: -0.5, 0.58, 27101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dereeegeeodeoaeeeoe. Give prob of sequence dg.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 67*k**3 + 68*k**3 - 122*k**3 - 10*k**2 - 1 to the form j*k + s + q*k**2 + h*k**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48971.\nAnswer: 13, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-2)*(-54 + 56). Suppose -2*t + t = 5. Which is the biggest value?  (a) -1\/7  (b) t  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.09 less than -613452724?\nAnswer: -613452718.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17030, -34060, -51090, -68120, -85150?\nAnswer: -102180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 302467 and 41689.\nAnswer: 14215949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j = 1222 + 402. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -5141*g**2 + 129*g + 194. Let p(t) = 5141*t**2 - 156*t - 192. Let k(h) = 5*p(h) + 6*u(h). Find the second derivative of k(j) wrt j.\nAnswer: -10282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82740 divided by 5516?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**3 - 9*n**2 + 9*n - 4. Let l be m(8). Let u be l\/6 - 32\/(-6). Let g be ((-290)\/1740)\/((-1)\/18). Solve u = -z + g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 371.4211 litres in millilitres?\nAnswer: 371421.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1584 = -2*o - 2*p, 3174 = -4*o - 0*p - 2*p. Let m = o + 1368. What is the remainder when m is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 2)*(-2 - 3*h + 2).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -17*m**2 + 11*m. Let g(x) = 6*x**2 - 4*x. Let q(t) = -11*g(t) - 4*z(t). Let w(b) be the second derivative of -b**3\/2 - 2*b. Calculate q(w(y)).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 - 14. Let l = m - -7. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from {b: 1, r: 1, c: 1, n: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -1\/6  (b) 2\/3  (c) 0  (d) 22  (e) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 - 1. Let l(h) = h**2 - h + 2. Let a be l(q). Suppose -2*s + 4*x = -38, -a*s + 4*x + 38 = -22. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 354 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1\/5, 6, -110 in descending order.\nAnswer: 6, 1\/5, -4, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(((-972)\/(-72) - 11)*(-1)\/(-25))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 194 divide 6437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -14001*t + 59. List the prime factors of f(-2).\nAnswer: 11, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1078920 and 24120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 4*p - 30. Suppose 21 + p = 4*r + 2*f, 2*r - 5*f - 18 = 0. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fbbmfbmbfmmmmfsfssqs. Give prob of sequence sq.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cjyjyjjyjy. What is prob of picking 3 j and 1 y?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(756)\/sqrt(48))\/sqrt(9).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 567035*d - 1135546*d + 568518*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3546.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1061, 2125, 3191, 4259, 5329, 6401?\nAnswer: 7475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1307114 divided by 1?\nAnswer: -1307114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 110010 + -12?\nAnswer: 102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 8 = -3*m, -m - 83 + 64 = -4*x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 308 divide 19546639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes before 8:13 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 471 + -88. Suppose 54 - o = -7*l. Suppose 0 = -4*p + 18 + 22. Calculate the remainder when l is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 105 = 2*k. Find the third derivative of 5*r**3 - 5*r**3 + 35*r**5 - 13*r**2 - k*r**5 wrt r.\nAnswer: 840*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 31 - 2?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 + 33. What is the remainder when 69 is divided by f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 82529.81 milligrams?\nAnswer: 0.08252981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (29 + 0 - (-5 - -13)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**3 - 6*l**2 - 20*l + 3. Let f be d(8). Let b = f + 123. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**3 + 4*b**2 - 11*b - 52. Determine s(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.44 rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -1.1, 2\/11, -3094, -2\/5?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 83520 and 42282?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 7 = 3*r. Suppose -3*m = -r*m + 35. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(125)*-3)**2.\nAnswer: -150*sqrt(5) + 1150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5326 is divided by 148?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -4*l**3 - 4*l. Let r(d) = 4*d**3 - 3*d**3 + d**3 - 3*d**3 - 1 - d. Calculate o(j) - 2*r(j).\nAnswer: -2*j**3 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -116 by -1383708.\nAnswer: 29\/345927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4*1)\/(5 - 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -18507\/11650 + 2\/233. Find the common denominator of -87\/20 and p.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -2*v - v + 0*v. Let j(d) be the third derivative of -d**6\/360 + d**3\/2 - d**2. Let l(r) be the first derivative of j(r). Give k(l(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 176\/(-66) - (-1*1 - 2). What is the third smallest value in -1, 17, r?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 692878200 to the power of 1\/4, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4321456929*w**2 + 6*w - 6*w - 4321456952*w**2.\nAnswer: -23*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 162, 2, 5 in descending order.\nAnswer: 162, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 104, 211, 324, 443, 568, 699?\n\"Answer: 3*s**2 + 98*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6518381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1.5 and 0.94.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - -8)*((-324)\/42)\/6 - (3 - 15)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -17 + 0 + p**2 + p - 22. Let l be r(-7). Suppose -5*g + 65 = -15. Solve g = u + l*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 - 2.5. Let i = 2466.7 - 2467. What is the biggest value in g, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -75115 (base 11) in base 3?\nAnswer: -12112220101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x**3 + 46*x**2 + 3*x**3 - 4*x**3 - 46*x**2.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1.4087 times -9\nAnswer: -12.6783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8565290 and 53104798?\nAnswer: 265523990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - 0\/(-4 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -827 - 827 - 481*r**2 - 831 + 3*r**3 - 824 + 3310 to z + a*r**2 + q*r + k*r**3 and give a.\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 927 - 461 + j - 466 + 0*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -4*t - 2 - 94, -71 = -3*l + 4*t. Suppose -4*o = 2*o - 360. Let h = o + -35. Calculate the highest common factor of l and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 418644 a multiple of 713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -2*q - 3. Let b(c) = -c - 1. Let m(i) = 3*b(i) - f(i). Let y be m(-4). Let d = -14 - -18. Calculate the highest common factor of d and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the first derivative of -8*k**5\/5 + 25*k**4 - 356*k**3\/3 + 150*k**2 + 252*k - 1443. Find c, given that n(c) = 0.\nAnswer: -1\/2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*l**2 - 5*l**2 - 2*l**2.\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + -1167?\nAnswer: -1169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/920 and 85\/644?\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve z**2\/2 - 474*z - 949\/2 = 0 for z.\nAnswer: -1, 949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**3 + 10*o**2 + 11*o + 21. Let f be b(-9). Let g be (1 + 5)\/(2*f\/9). Solve -g = -3*s + 6*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.1 + 0.3. Let n = 36 - 31. Which is the nearest to 2\/5?  (a) n  (b) m  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00838129 to four decimal places.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -3*w**2 - 1. Let g be 1\/(2\/(-22)) - (-3 + -5). What is m(g)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 12*q**2. Let i(r) be the second derivative of -r**4\/12 + 6*r. Calculate p(i(m)).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 30802, 30803, 30814, 30841, 30890, 30967, 31078?\n\"Answer: u**3 - u**2 - 3*u + 30805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13950 = 107521*g - 104731*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3647 is divided by 239.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1610025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of n**5\/20 - n**4\/12 - n**3\/6 - n**2\/2 - 2*n - 500. Let i(r) = -66 - 2*r**2 + 66 - 2*r + 4*r**3. Determine -2*h(y) + i(y).\nAnswer: 2*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -1\/43  (b) 288\/17  (c) -4  (d) 0.24  (e) -1  (f) 0.3  (g) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -9, -2, 0, -1, -18, -2058 in increasing order.\nAnswer: -2058, -18, -9, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f**2. Let m(r) = 8*r. Let q(v) = 24*v. Let n(y) = -16*m(y) + 6*q(y). What is p(n(d))?\nAnswer: -256*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8827.359 nanograms to micrograms.\nAnswer: 8.827359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1273.\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**3 - 58*v**2 + 48*v - 652. Let b be c(-59). Let u = 2.95 + 0.05. Let r = u + -2.5. What is the smallest value in b, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 111 is divided by 11\/(-22) - (74\/(-4) + 2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, -3, -2, -700 in decreasing order.\nAnswer: 5, 3, -2, -3, -700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6396847g in micrograms?\nAnswer: 639684.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 117*i + i**2 - 8596 + 4297 + 4302 to z*i + a*i**2 + q and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 43912 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 - 1265 - 1184 - 1232 = 75*g for g.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of -8*s**3\/3 + 23. Let d(z) = z + 50. Let i(p) = p + 78. Let c(m) = 8*d(m) - 5*i(m). What is n(c(k))?\nAnswer: -72*k**2 - 480*k - 800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -5*m + 4*a + 27, -4*a = 2*m + 12. Does m = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 3*r**2. Let z be j(1). Suppose 0 = 4*s - o + z*o - 1322, -s - 3*o + 333 = 0. What is s rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that u**3\/2 + 137*u**2 + 267*u\/2 - 819 = 0.\nAnswer: -273, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + 6*v = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1290 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28645.\nAnswer: 5, 17, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 279*n**2 - 3*n + 86. Let a(i) = 2*i**2 + i - 1. Let c be 4\/8 - 55\/10. Let z(t) = c*a(t) - h(t). What is the second derivative of z(q) wrt q?\nAnswer: -578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47198 = 5600*l + 244002 for l.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 1. Let r be 1\/((-16)\/(-18) - j). Let n = r - -5. What is the closest to 2\/3 in -0.1, 2\/7, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fjfjbjbbbbjbbjj. Give prob of sequence jjjb.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -42, -0.3, -5.\nAnswer: -42, -5, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 913.\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -618 = 54*q - 60*q. Calculate the remainder when q is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 8) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 70*d**2 - 840*d + 1671. What is m(2)?\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 1 z when three letters picked without replacement from zdzdddzddzzzzzzddd.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/6)\/((-2)\/22) - (-3441)\/333.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 820968 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.2 - 0.3. Let y be (1\/1)\/((-40)\/16). What is the closest to y in 2\/7, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 51  (b) 1\/4  (c) -2\/13  (d) 0.486  (e) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -3, 5\/6, 50\/9, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 15\/(2 + 105\/(-49)). Let u be (-4)\/((-14)\/y*-6). Solve -u*k = 2 + 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-48)\/40*(-14)\/(-8)*(-260)\/(-14)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 10, 1, -14, -29, -38?\n\"Answer: r**3 - 9*r**2 + 11*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000132317 rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 172845 divided by -9\nAnswer: -19205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -13 - (0 + (11 + -7 - 10))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 100 = a. Suppose 4*k - 56 = -a. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2106526256?\nAnswer: 2, 5309, 24799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(5\/2)*w\/(w\/w**(-8)*w)*w**(2\/7)*w*(w**(-3\/7)*w)\/w)\/((w*(w\/((w*w**(-4\/7))\/w)*w)\/w*w*w\/w**6)\/(w**2)**36) assuming w is positive.\nAnswer: w**(949\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*x**6 - 80*x**5 + 695*x**2 - x.\nAnswer: -720*x**3 - 4800*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.21 + -2.71. Let m(i) = -i**3 - 5*i**2 - i - 4. Let t be m(-5). Which is the third biggest value?  (a) t  (b) x  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3611153, -7222308, -10833463, -14444618, -18055773?\n\"Answer: -3611155*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -696 + 696 = 2*s - 9*s. Let f = -18 + 32. Let z be (-4)\/f - 101\/(-378). Which is greater: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 3*z**2 - 1. Let h be w(1). Sort 6, -1, h in descending order.\nAnswer: 6, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 86000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1898777 rounded to four decimal places?\nAnswer: 0.1899","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/10  (b) 9.6  (c) -81  (d) 0.4  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 - (-1 + (1 - -1)). Suppose n*q - 4*y + 6 = 4, 2 = -2*y. Let r be 3\/9*q\/(-9). Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*f = 30 + 1136. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 590045647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 170*120.\nAnswer: 20400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the third derivative of -r**4\/8 + 24*r**2. Let d(c) = 13*c**2 - 2*c. Determine d(g(b)).\nAnswer: 117*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -5*r**3 + 2*r**2 + 2*r + 1. Let s be i(-1). Let o be -3 + (-20)\/s*-3. Let k be 40*-625*8*o. What is k rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 579639417?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from oxoooogffxgofxfoxxg.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -2*f + 23. Give v(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -513 - 20 = -13*w. Let j = 10 - 5. Suppose -j*k + 396 = 2*g, k - 31 - w = 2*g. What are the prime factors of k?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 23*x + 17. Determine m(-5).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -263*g + 273075 - 295693 = 0 for g.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g**3 + 5*g**2 - 406*g - 1631. Give f(-4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Round -2008000 to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 176899699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 145 and 100.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -56289.3285 rounded to the nearest integer?\nAnswer: -56289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 11 - -21?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 150461 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 9*t**4 - 6*t**3 - t + 6. Let k(u) = u**3 - u - 1. Let y(a) = -j(a) - 6*k(a). What is the second derivative of y(r) wrt r?\nAnswer: -108*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 16*c**4\/13 + 58*c**3\/13 + 56*c**2\/13 + 2*c\/13 - 12\/13 = 0.\nAnswer: -2, -1, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 825 and 19415.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*h + 26*h = -89*h + 672 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 21 = 5*t, -3*t = 3*y - 6*y - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 97354 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 403 and 25477673.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 61*a + 67. Let r be i(1). Suppose -3*u = -2*b - 1036, -2*u + 566 + r = -2*b. What are the prime factors of u?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bmbg. What is prob of sequence mbg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 391419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*u + 8*u + 983 = -4*b, 0 = -3*u + 2*b + 589. Let x = u + -186. Solve 34 = -5*m + x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000131345 to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -127*q - 113*q + 255*q in the form k + a*q and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, g: 1, f: 3}. Give prob of sequence fl.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -33, -203, -6 in decreasing order.\nAnswer: 4, -6, -33, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -123.21482 to 1 dp.\nAnswer: -123.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 5*g**2 + 2*g + 1. Let h be w(2). Solve -5*p - 2*a = -3*p, 5*a = -h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4.65 and 2.6384?\nAnswer: -12.26856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-one quarters of a decade?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 + -b4e9205?\nAnswer: -b4e9206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 2.2. Let p = 2 - 2.2. Let g = -0.26 - p. Is j bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1023049 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 - -8. Suppose b = 3*i - i. Determine v, given that 8*v + 6*v**i + 3*v**3 - 2*v + 7*v**2 - 4*v**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -853 - -988. Is 45 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2731220377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4884 = -85*b + 217*b. Sort -3, -9, b, 0 in increasing order.\nAnswer: -9, -3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zmumdmzvumdzmeummu. What is prob of sequence edd?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -7*j. Let n(v) = -4*v - 1. Let o(q) = 3*d(q) - 5*n(q). Give o(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 24 - 24. Solve -r = -3*h - y*r + 6, -3*r = 2*h + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 - 1. Suppose j - d = -0*j. Suppose j*l + r - 215 = 0, -4*l + 200 = -0*l + 4*r. What is the remainder when l is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 16*w. Let p(u) = 2*u**2 + 5. Calculate p(r(l)).\nAnswer: 512*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 + 5. Suppose n - l = -2*n. Is 9 a factor of 3\/(-9) - (-70)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*j**3 + 20*j**2 + 32*j - 192.\nAnswer: -4*(j - 4)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that w**4\/3 + 27044*w**3\/3 + 63083*w**2 - 270386*w\/3 - 432592\/3 = 0.\nAnswer: -27037, -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20 and 40523830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 2363003 (base 11) to base 4\nAnswer: 33231121211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = y, 2 = -4*y + 4*d - 6. Suppose 2*t + 2*x = -2*t + 12, t - 2*x + 7 = 0. Sort y, 2, t in descending order.\nAnswer: 2, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1258 + -8807\/7. Which is the third smallest value?  (a) t  (b) 2\/11  (c) -0.2  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1 + sqrt(11)*-2 + sqrt(11))*2 - (1 + sqrt(275))*2)**2 + 4)*-2.\nAnswer: -3176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.3, -286.884, 10\/29, -2\/15?\nAnswer: -286.884","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.371446 to four decimal places.\nAnswer: -0.3714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/7  (b) -2\/895  (c) 13\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -5*p + 2*g + 6, 3*p - 2*g = 15. Let n = p - 4. Sort n, -2, 2.\nAnswer: -2, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.21 + 0.21. Which is the third biggest value?  (a) m  (b) 0  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -3*i - 3*m - 11, i - 2*m - 8 = 0. Suppose 0 = -0*s - s + 24. Suppose 5*b = -2*o + 4 - i, s = 4*b - 4*o. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -46 + -118. Let h = m - -316. Calculate the highest common factor of 19 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -88  (b) 0.4  (c) 1.8  (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 127377*d*o**2 - 5*d*o + 1003108*d + 74*o**2 wrt o?\nAnswer: 254754*d + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -29*d**3 - 3662*d**2 - 997*d + 1401. Calculate y(-126).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l - 2. Let k(i) = 2*i - 3. Let f(q) = 2*k(q) - 3*p(q). Let m be f(6). Find the third derivative of -4*h**4 + h**4 + 8*h**m - 8*h**2 + 3*h**4 wrt h.\nAnswer: 960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 3 = -1. Suppose s - 3996 = -w*m, s + s + 2*m = 7996. Round s to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-36)*((-308)\/49)\/11?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**2. Let c(w) = 10474*w. Calculate q(c(g)).\nAnswer: -109704676*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d*d*d\/((d**(2\/13)\/d*d*d)\/d)*d\/(d\/((d*d\/((d\/((d**(3\/2)\/d)\/d))\/d)*d)\/d))*(d**(-1\/2))**(-32\/7)*((d**(2\/13)*d)\/d**(-3\/4))**(-2\/9) assuming d is positive.\nAnswer: d**(656\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**3 + f**2 - f - 2. Let w be p(2). Suppose 30 = w*h - 10*h. What is the least common multiple of 36\/h*(-5)\/2 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -38379.2 to the nearest 1000.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-541 - 0)*15\/(-5). Let r be v\/9 - 3\/9. Let n = -47 + r. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80 - 77 + 157 - 2*x**2 + 114*x.\nAnswer: -2*x**2 + 114*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 63 and 8054109.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 + 62 = -5*o. Let l be (-90)\/o*(-1188)\/(-10). Suppose -7*s + l = -1535. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.01, 55\/2, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-24)\/(-32))\/((-2)\/(-56)). Let i be -2 - (-7)\/(a\/6). Is -1 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 + 4 - ((-13)\/(-78) + 30\/36). Which is the closest to -14?  (a) -5  (b) -0.3  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -45 + 66 - 0 - 36?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -37*m - 23*m - 46 - 74. What is the fifth smallest value in -5, m, -6\/7, -0.5, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the second derivative of 8\/15*o**3 - 11\/15*o**4 + 0*o**2 + 0 - 3\/25*o**5 + 38*o. Factor p(s).\nAnswer: -4*s*(s + 4)*(3*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from grgcg. What is prob of sequence gc?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2728, -7220, -11714, -16210, -20708?\nAnswer: -25208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8\/97 or -20238?\nAnswer: -20238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -35 + 38. Suppose 0*b = -n*b - a + 252, 0 = a. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 246 = -3*t + 264 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**3 + 5*u**2 - u + 2. Let b be m(-5). Suppose 0 = b*g + g - 16. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 621.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5341291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 567 and 78105141.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -154\/117?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j**3 + 8*j**3 - 924*j**2 + 3*j**3 - 13*j**3 - 475*j**2.\nAnswer: -j**3 - 1399*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 3*l**4 - 1513814*l**3 + 254626710624*l**2 - 14276438700319818*l + 23793357211123005 = 0.\nAnswer: 5\/3, 168201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30 and 1590?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 215.3 - 268.48. Round k to the nearest integer.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -2*v**5\/9 + 12002*v**4\/9 + 60046*v**3\/9 + 9342*v**2 + 4004*v = 0.\nAnswer: -3, -1, 0, 6006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 125  (b) 1  (c) 2778\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(243) - (sqrt(243) + -3 - sqrt(243))) + -2*sqrt(12) + 4.\nAnswer: -31*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -78 and -90118811464.9.\nAnswer: -90118811542.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(5\/11)\/x)\/x**(4\/21) assuming x is positive.\nAnswer: x**(-170\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9979 + -4560405\/457. Is 0 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 5*q = -0*d + 16, -2*q = -2*d - 8. Does 9 divide (-6)\/d + -1 + 0 + 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.4232664544 to two dps.\nAnswer: 1.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*w**2 + 29*w**2 + 40*w**2 + (-1 + 2*w + 1)*(2*w - 5*w + w) as b + n*w + v*w**2 and give v.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 2*y**3 + 118*y**2 + 1112*y + 2688 = 0.\nAnswer: -48, -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 137, 268, 397, 524, 649, 772?\nAnswer: 893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, h: 3, q: 2}. Give prob of picking 1 h and 1 m.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (83*g + 5*g**2 - 83*g + (g + g - 4*g)*(3*g - 3*g - 2*g))*((-11 - 19*g + 11)*(3 - 2 + 0) + 3 + g - 3).\nAnswer: -162*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2\/69)\/(z*(z\/z**(-28\/3)*z)\/z))**(-3\/28) assuming z is positive.\nAnswer: z**(28\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 - (3 + 20\/(-35)). What is the closest to 1 in -3, i, -9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 167*y - 85*y + 485*y.\nAnswer: 567*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 881 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47 is divided by (-1)\/(264\/(-52) + 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -419714 (base 10) in base 9?\nAnswer: -708658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + -2)*-2 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes after 5:50 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - 0. Let n be 3 + (-17 + 30)*(-1 + 2). Suppose 0 = 22*v + n*v + 228. What is the closest to o in v, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 15\/7  (b) 97  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-108)\/243)\/(7*(-4)\/18)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ppppfppppppppfffppf.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.615001181 + 2.615. What is r rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m**5\/2 + 5*m**4 + 37*m**3\/2 + 32*m**2 + 26*m + 8 = 0. What is m?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 710\/55 - (12736\/2786)\/(2\/7)?\nAnswer: -34\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(832) + -1*sqrt(832) - (sqrt(78) + sqrt(78)*-1 + sqrt(78))\/sqrt(6)) + -5)**2.\nAnswer: -152 - 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**2 - 5*k - 2. Let t be y(-3). Suppose t*d + 3*z - 2 = -d, 0 = 2*d - 5*z + 24. What is the units digit of (-854)\/(-21) - d\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -45\/781264 and -65\/252?\nAnswer: 49219632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kwm when three letters picked without replacement from {m: 1, z: 4, w: 2, u: 1, k: 2}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**2 - 3 + 101*g - 103*g - 5*g**2 + 3. What is l(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7447.709l in millilitres?\nAnswer: 7447709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u + 2 - 10. Let q be 0\/(2\/(2 - u)). Which is greater: q or 24\/19?\nAnswer: 24\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4748 divided by -4461\nAnswer: -4748\/4461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13.659 - -76.86. Let z = 1.619 - w. Let d = 95 + z. What is d rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -5, 554, 313, 1, -4 in descending order.\nAnswer: 554, 313, 1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the third derivative of 5*k**4\/3 - 5*k**3 - 81*k**2 + 2*k. What is the derivative of h(c) wrt c?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 29\/174*(12 - 3)*(0 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 3253*p**2 + 61*p - 1. Let n be l(-3). Suppose 12 = -3*r, 2*r = 5*a - 4900 - n. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -338*f**3\/11 - 24865*f**2\/11 - 397176*f\/11 + 2279979\/11 = 0. Calculate f.\nAnswer: -39, 1499\/338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f**5\/8 - 267*f**4 + 45837*f**3\/8 - 51111*f**2\/2 - 84645*f\/2 + 279450 = 0. Calculate f.\nAnswer: -3, 4, 6, 15, 690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 10*i - 17. Let c be -1 - 9\/2*2\/(-3). Let y = 3 + c. Is 11 a factor of v(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*v + 5 = -39. Let o(y) be the second derivative of -1\/6*y**v + 0*y**3 + 0 + y**2 - 3*y. Determine q so that o(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 81 + -66. Let b = 19 - z. Solve 16 = 3*l - 5*l - b*d, -2*l - 10 = 2*d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1087, -2171, -3255, -4339, -5423, -6507?\n\"Answer: -1084*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/5*g + 0 + 4\/5*g**2 + 2\/5*g**3.\nAnswer: 2*g*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-412))\/(1854\/3708).\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -56261*p**2 - 216811 wrt p.\nAnswer: -112522*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -104 smaller than 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -92 + 15 - 29*a - 31*a - 16*a + 85*a. Let g be q(9). Let w be 6\/18 - 10\/(-6). Solve g*o + w = 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**4 - 7*t**2 + t + 1. Let v(f) = -1411*f**5 + 3*f**4 - 21*f**2 - 10978*f + 3. Let s(p) = 3*k(p) - v(p). Find the second derivative of s(x) wrt x.\nAnswer: 28220*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 197*n - 745. What is the lowest common multiple of q(14) and 11?\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.05969 * -7.\nAnswer: 0.41783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -59*l**3 - 19305*l**2 - 23147*l - 318. Calculate t(-326).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -4*n - 3*n**3 + 2*n**3 - 6*n**2 - 2*n**3 + 2*n**3. What is h(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 9:31 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**2 - 3*n + 4. Let f be h(3). Suppose -2*w + 4 = -6*w. Let y be 6\/(-2)*w\/(-3). Which is the smallest value?  (a) y  (b) f  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 - 2. Let x be ((-48)\/40)\/((-2)\/30). Let g = 0 + x. What is the smallest common multiple of v and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of -n**3\/6 + 12*n. Let v(y) = -2*y**2. What is j(v(f))?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (66 - i**2 + 18*i + 61*i - 72*i)*(2*i + 0*i - i) to u*i**3 + x + p*i**2 + o*i and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:31 PM and 3:14 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = r + 25. Suppose 2*b - 42 = -10. Let j = b - 7. Calculate the remainder when r is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1105, 2, -1, -2, -9 in increasing order.\nAnswer: -1105, -9, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**2 - 7*k - 7. Let b be s(7). Let l(v) = -8*v - 2. Let a be l(b). Suppose 14 + a = 2*u - t, -2*u - 3*t = -60. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-2*sqrt(126)*4)\/((sqrt(144) + sqrt(144)*1 - sqrt(144))\/sqrt(2)).\nAnswer: -16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the first derivative of r**5\/5 + 7*r**4 + 43*r - 51. Find the first derivative of d(b) wrt b.\nAnswer: 4*b**3 + 84*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**3 - x + 1. Let j(w) be the second derivative of w**2 - 399*w + 1. Calculate -j(c) + 2*q(c).\nAnswer: 2*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 20*x**4 + 3*x + 4. Let b(s) = 19*s**4 + 4*s + 3. Let v(o) = 4*b(o) - 3*z(o). Find the second derivative of v(q) wrt q.\nAnswer: 192*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dmvmvdmm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j + 4. Suppose 5*q + 0*q + 4*h + 58 = 0, -5*h = 4*q + 50. Give f(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5254975 divided by 210199?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 89*i. Let m be d(4). Let k = m + -689\/2. Let s = k + -11. What is the smallest value in s, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -840409 greater than -840409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.4  (b) 847084  (c) -6  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3375)\/10)\/5 - (5985\/30)\/(-21).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-5)\/(-20) + (-75)\/(-4). Suppose 4*w - 52 = -2*j, -4*w + 31 + b = j. Let k be ((-2)\/1)\/((-8)\/w). Solve 6 = -k*t - i, 4*t + 8 = i + 2*i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 36?  (a) -2\/13  (b) 5  (c) -30  (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2963164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -3*k - 3 - k**2 - 4*k + 12*k. Let s be j(4). Let p be (-2 + s)*(-7 + 4). Solve -5*l - p = -4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1899 and 235104429.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the first derivative of 0*i**5 + 8*i**6 - 58 - 45\/2*i**2 + 0*i**3 + 0*i + 0*i**4. Find the second derivative of k(y) wrt y.\nAnswer: 960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(30) + sqrt(30))*-3)\/sqrt(10).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -32141540 (base 6) to base 9.\nAnswer: -1702316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (5 + (-6 - (1 - 0)) - -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 + -12. What is the second derivative of 2*l - 7*l - 15*l**2 + 18*l**g wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 - 4. Suppose 0*f + f = -2*y + 831, -2481 = -t*f - 2*y. Suppose 3*i + f = -255. Round i to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20, 50, 106, 200, 344, 550, 830, 1196?\nAnswer: 1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 89 * 14\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + 7. Let i = q + -5. What is the second derivative of -m - 3*m**2 + m**5 + i*m**2 wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i + 1. Let b(o) = -6*o - 7. Let r(z) = -5*b(z) - 35*d(z). Let m(a) = 4*a. Calculate m(r(p)).\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, -2\/9, 11\/4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/22 in -43, -2\/99, 2, 3, -1\/4?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the first derivative of -p**3\/3 - 7*p**2\/2 - 6*p - 1. Let q = 579 - 585. Calculate s(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -140, -284, -434, -596, -776, -980?\nAnswer: -1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*-2895\nAnswer: -289.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -289*s + 3*s**3 + 288*s - 2*s**2 + s**3 - 5*s**3 = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 3*w + 0*w + 8*w**2 + 0 + 3. What is the units digit of f(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24 and 592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -925\/66 + 83\/6. Let b = 6 - 3. Suppose 0 = b*g - 2*g. Is c greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14093 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15461540, -30923090, -46384640, -61846190, -77307740, -92769290?\nAnswer: -108230840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2037172.3 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -21 - 30?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 667226 divided by -4?\nAnswer: -333613\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11022, 11020, 11018?\nAnswer: 11016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 - 44 = 4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 821046.28000262 - 821050.02. Let n = 3.74 + l. Round n to seven dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2428997.26 rounded to the nearest 100?\nAnswer: -2429000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 2 + (0 - -2 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f = 4*l - 0*f - 41, 546*f = 547*f - 5 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 8669*f**2 + 2*f + 1. Let u be o(5). Suppose -3*g = 4*q - 486012, 2*g - u = 2*q + 107258. What is g rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(2\/13)*c**4*c)\/(c**(-1))**(-3\/26)*c\/c**3*c**3*(c**(1\/4))**(2\/85) assuming c is positive.\nAnswer: c**(6679\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -39\/979166 and 65\/230392.\nAnswer: 3916664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 3*h**2 + h - 2. Let u be b(1). Let t be (u + 60\/(-27))*-9. Solve -23 = g - 4*d, -10 = 2*g - t*d + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5359 - 4115. Solve -6*v - 1208 = -w for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u**2 + 4*u**2 - 5*u**2)*(-5*u + u + 2*u) + 69*u**3 - 264*u**3 + 63*u**3.\nAnswer: -138*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 - 2 + (2 - 5 + 2)*(-3 + 1 + 3) + 3 - 3 + 3)*(-3*r + 2*r + 0*r) - 2*r + 0*r + 5*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30885 is divided by 234?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*u + 185830 = -0*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -8*x + 1658*x**2 - 3 - 1660*x**2 + 23*x. Give i(10).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**3 + 11*x**2 + 2*x + 12. Let h be b(11). Let c = 38 - h. Solve 0*z = 3*z, 5 = -v + c*z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.8 - -2. Let x = -3821 + 3819. What is the closest to x in 3, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5400 by -216.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 85, -9, -4, 8, -1, 5, 0.\nAnswer: -9, -4, -1, 0, 5, 8, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -69 - -172. List the prime factors of q.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -183, -365, -545, -723, -899, -1073?\nAnswer: -1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + -1 - (0 + 6 + 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 19*u + 11*u + 1 - 31*u - 5. Give b(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 * -33\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 564 and 996.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -8*a - 7. Let m(q) = 2 + 2*q**2 - 142*q**3 + 144*q**3 - a. Calculate m(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14379768 + -5120232. Round h to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9\/2?  (a) -4  (b) 32  (c) 0  (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 36551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 + -18. Let g = -2 - n. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 1)*(-4*j**2 + 10*j**2 - 3*j**2 + (-2 - 2*j + 2)*(-j - j + 0*j)).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3210 - -126464?\nAnswer: 133004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is x in 2*x**3 - 28*x**2 + 22*x + 52 = 0?\nAnswer: -1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -17*c + 3*c**3 + 2*c**2 - 14*c**4 - 23547 + 23545 + 19*c as i*c**2 + b + s*c**4 + u*c + o*c**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (2 + 13)*(-106)\/(125610\/(-5609)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -4*k**3 - 4*k**2 + 3*k - 3. Let a(p) = -8*p**3 - 7*p**2 + 5*p - 5. Calculate -3*a(g) + 5*j(g).\nAnswer: 4*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -101 (base 6) to base 15\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/11 and -4\/71.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-196)\/42*3\/1 - 3599\/(-236). Factor -n*o**2 - 1\/4*o**4 - 7\/2*o + 0 + 2*o**3.\nAnswer: -o*(o - 7)*(o - 2)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the first derivative of -7*w**2\/2 + 2*w + 217. Let m(a) = -14*a + 4. Calculate 6*m(c) - 13*x(c).\nAnswer: 7*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 3 t when four letters picked without replacement from {c: 2, x: 8, r: 4, u: 2, t: 4}?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/14 in 1, 0, -214, -7\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15*f**4 - 50808*f**3 - 152383*f**2 + f + 1.\nAnswer: 360*f - 304848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 323*j**4 - 2*j**3 + 2*j + 348. Let u(h) = -2*h**4 - h**3 + h + 4. Let b(v) = -t(v) + 2*u(v). What is the derivative of b(n) wrt n?\nAnswer: -1308*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, q: 1, m: 1, w: 3, n: 5, b: 1}. Give prob of picking 1 w and 1 q.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -g - 1 + 9, 4*d = -4*g - 4. Find the second derivative of -7*f**2 + 3*f**g + 7*f + 23*f**5 + 4*f**2 wrt f.\nAnswer: 460*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*a - 5 = -38*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-3) - ((-2)\/(-3) - -1). Let z = 14 - 1. Suppose 5*i - 2 - z = 0. Put 10, j, i in descending order.\nAnswer: 10, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 86*o + 77*o - 38*o + (-o + o + 2*o)*(1 + 0 + 0) to m*o + y and give m.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 7, -1417 in ascending order.\nAnswer: -1417, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -287, -326, -377, -434, -491, -542, -581, -602?\n\"Answer: n**3 - 12*n**2 - 10*n - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (7\/1)\/(2 + -1). Suppose z + 9 = 2*t. Let p(r) = -r**3 + 8*r**2 + 4. Determine p(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -611.850916 to the nearest 10.\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**3\/7 - 34316*p**2\/7 + 1782404*p\/7 - 23162464\/7.\nAnswer: (p - 34264)*(p - 26)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -187 in 21, 5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-72)\/7 + 280\/980.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 + -5. Let p = 10 - d. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(208) + -2 + sqrt(208))**2)*1 - (3 + ((sqrt(104) - (-2*sqrt(104)*5 + sqrt(104)))\/sqrt(8))**2).\nAnswer: -465 - 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Convert 41836.06 days to milliseconds.\nAnswer: 3614635584000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -16*h - 1. Let l(i) = 11*i + 1. Determine -5*k(n) - 7*l(n).\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2243833 to the power of 1\/2, to the nearest integer?\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 183.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-3)\/(r\/((r*r**(2\/9)\/r)\/r)))\/(r*r\/r**(-3)*r**(-5)) assuming r is positive.\nAnswer: r**(-43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -2\/3*w**2 - 4\/3*w**4 - 4\/9*w**5 - 13\/9*w**3 + 0 - 1\/9*w = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1566 times -78.82?\nAnswer: -12.343212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -4*s + 2*s + 17, -2*l = -2*s + 32. Suppose -5*w = -2*a - 58, 2*a + 33 = 2*w + s. Solve 5*x - 2*x = -w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 3*c**2 - 9*c + 1. What is the remainder when l(4) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of (-21673)\/(-5) + (161\/(-35) - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - 7. Let n = 1040433\/22 + -94773\/2. Let r = n + 94. What is the second biggest value in 2, k, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 99 and 13471799.\nAnswer: 121246191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 16\/1995 and -11\/2394?\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 85265 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16555 by 35.\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 210*z - 66 = -9*s + 215*z, 6*z - 63 = -0*s - 5*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 529082 and 254.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -2*a**3 + 3*a**2. Let f be h(2). Calculate the remainder when 67 is divided by (70\/(-4))\/(f\/8).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/(-2)*-1 + 6. Let v be 8\/x*36\/(-24). Let r be v + (1 - 1) - 9. Is -12 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**3 - 5*t**2 + 7*t + 7. Let h be w(-6). Let x be h*9*-2*2\/(-12). Solve 4*d - x - 5 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.85 rounded to 1 decimal place?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1084668 (base 14) to base 12.\nAnswer: 2766384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.09?  (a) 2\/7  (b) -1601  (c) -730\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -30 by 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 14*y - 170. Sort y, -4, -1 in decreasing order.\nAnswer: y, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2220541 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y = -3*y - 104. Let t = 25116 - 24988. What is the remainder when t is divided by y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4752664.\nAnswer: 2, 7, 84869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -4*w + 176, 2*l - 74 = -4*w + 6. Solve l = -6*c - 6*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8445771199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from wpwpwwwwwwp.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 20 - (-44 - -56).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 + 0.9. Let x = -0.9 + k. Let h = -1.5 + 1.5. Put 2, x, h in decreasing order.\nAnswer: 2, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1036 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the first derivative of 42 - 2\/3*v**3 + 9\/4*v**4 - 32*v + 0*v**2. What is the derivative of q(l) wrt l?\nAnswer: 27*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2418174 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 69779579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 54\/143 and 2\/3*(-30)\/4 - (-132918)\/26676.\nAnswer: 48906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*l + 10527 + 277821 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -45 + 64. What is the units digit of (-3 - -1 - 1) + w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 584922*a*t**2*u + a*u + 5*a - 1552157*t**2*u wrt a?\nAnswer: 584922*t**2*u + u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 15 = u. Let z(a) be the third derivative of -a**5\/60 - 5*a**4\/24 - 2*a**3\/3 + a**2. What is the lowest common multiple of 8 and z(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 70 divided by -33\nAnswer: -70\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 30320682 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((36\/10)\/6)\/((-4)\/5)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 414473 divided by -4657.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4.606 - -4.206. Put -1\/5, c, 35\/2, 3\/10 in ascending order.\nAnswer: c, -1\/5, 3\/10, 35\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -88?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4824\/12864 + 170\/16 + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 + 15. Is 4 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 214, -0.05, -0.3, -2\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*z**2 - 10 + 10)*(-5 - 5 + 8 + 15*z) + 155 + 7*z**3 - 155.\nAnswer: -53*z**3 + 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1*(-2)\/(2 + 0). Let q be (-34)\/((-4)\/o + 2). Calculate the highest common factor of 119 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 divided by 29840216.\nAnswer: 3\/14920108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/4)\/(-1)*8\/(8\/15).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 3*j + 318, -4*j = 4*g - 527 + 143. Let b be g + 2 + 0 - 1. Suppose 3*d - 75 = 3*r - 2*r, 4*d = 2*r + b. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 361, 241, 129, 25, -71, -159, -239?\n\"Answer: 4*t**2 - 132*t + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.58 + 18946.\nAnswer: 18945.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78 = -2*r - 4*r. Calculate the remainder when 2 + (2 - -1*20) is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 28 and 1020?\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 7 = 13, -3*b = 5*l - 3. Calculate the smallest common multiple of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 929272 times 426?\nAnswer: 395869872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 155231832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (4 - 4)) + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -140.3 - -140.5. Which is the smallest value?  (a) -0.063  (b) 3\/4  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -12*c**3 + 38*c**2 - 54*c + 18. Let y(n) = -n**3 - 3*n**2 + n + 1. Let k(l) = 2*q(l) - 4*y(l). What is u in k(u) = 0?\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 706742676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4708057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -1491, 5, 3, 388\/61, 3\/2 in ascending order.\nAnswer: -1491, 3\/2, 3, 5, 388\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-7)\/(-14)*-6*8\/66. Do j and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 28 and 25\/(-2)*288\/(-180)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 2, a: 9, s: 6, f: 1}. What is prob of sequence spfp?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14390 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1002 and 105711?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/(-7))\/((0 + -2)\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1550314 + -3?\nAnswer: 1550311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c**3\/4 + 637*c**2\/2 + 540817*c\/4 + 19123878 = 0. Calculate c.\nAnswer: -433, -408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -583981, -583980, -583979, -583978, -583977, -583976?\n\"Answer: o - 583982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*u + 3*d = -19*u + 6, -4*u - 2*d + 10 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*x - 9*x + 382 + 13*x - 465.\nAnswer: 11*x - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-275)\/(-4675))\/((-1)\/(-2)*1)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -126*q**2 + 350*q**2 - 23303*q + 23306*q - 1087 wrt q.\nAnswer: 448*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - m - 12 = 0. Suppose -4668 = -3*g + 5*k, -m*g + 1556 = -2*g + 3*k. Let w = g + -656. Round w to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-3)*(-66)\/(-11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (242\/33)\/(-2 + 24\/9). Suppose -l*f = -6*f + 10. What is the closest to 0.1 in f, 4, -6\/25?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57289*k**2 - 3*k - 57760*k**2 + 3*k.\nAnswer: -471*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*7*(2\/(-4))\/(8\/8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1094697 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1949501 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 s when three letters picked without replacement from {z: 11, l: 3, a: 2, s: 2, u: 1}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**33\/t)\/t**(2\/3)*(t\/(t\/(t*(t\/(t\/(t*t*t**(-29)*t*t*t)))\/t)))**(-17) assuming t is positive.\nAnswer: t**(1318\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -53.0602635 to zero dps.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 584 + -582. Suppose 0 = -2*f + 5*k + 34959, -15797 = -2*f + b*k + 19147. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6388?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 13*o**3 - 8*o**3 - 7*o - 6 + 2*o**2 - 4*o**3 + 2*o**2. Let w be (-9)\/2 + (-3)\/6. Calculate v(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4219\/6 + -705. What is the common denominator of -32\/9 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.9?  (a) -1  (b) -6  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11457293?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -12100221200211 (base 3) in base 6?\nAnswer: -141052421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -8821016 (base 9) in base 5?\nAnswer: -2203102121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 1361 divide 2319347878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -2\/25  (b) -0.3  (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -222*1*(-4)\/6?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 3, e: 3, o: 8, f: 3}. What is prob of picking 1 f and 1 j?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -476, 0.3, 0.2 in decreasing order.\nAnswer: 5, 0.3, 0.2, -476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of ((-2178)\/60 + (-1)\/(-10))*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 60 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2307 is divided by 232?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*s**3 + 235*s*u**3 - 2*u**3 + 4662*u wrt s?\nAnswer: 15*s**2 + 235*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 0*z - 85 = 5*z, -3*m = -3*z + 33. Let o be m\/(-63) + 1408\/(-18). Is o at most -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes before 6:41 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101000 - 1001100?\nAnswer: -1110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -4*h**3 - 2*h**2 + 1. Let t be f(-1). Calculate the greatest common divisor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-33 + (34 - -5))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 67.36471 litres?\nAnswer: 67364.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -3*o - 62. Let f be w(-8). Let d be -56 - (5 + 6\/(-2)). Let u = f - d. Calculate the highest common divisor of 60 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2 + 3*r - 24. Let n be b(-6). Let f(w) = -4 + 4 + 2*w. Let s(l) = l. Determine n*f(h) + 11*s(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.5 + 0.5. Let o = 31 + -30.83. Let b = o - 7.17. Which is smaller: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (1425\/20)\/((-1)\/(-4)) is divided by -42*((-244)\/56 - 14\/(-4))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 237891363.000427 + -237891540. Let r = -177 - t. What is r rounded to 5 decimal places?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2\/101 - -295\/404. What is the closest to 1 in -2\/9, t, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -47 - -91. Let u = 47 + -73. Let l = 48 + u. Calculate the smallest common multiple of h and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*w + 192 = -27*w + 78*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 35, 2, 3, -4, -2, 0, -57 in decreasing order.\nAnswer: 35, 3, 2, 0, -2, -4, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 810 and 68121?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + 1 - (65 - 66).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -8 + 357*k - k**2 - 312*k + 3*k**2 + 2*k**2 + 3*k**2 as z + u*k + d*k**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84605421?\nAnswer: 3, 37, 762211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.02 - 0.48. Let w be (18\/(-48))\/(((-135)\/(-10))\/9). Which is the nearest to 0.1?  (a) d  (b) -1  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qu when two letters picked without replacement from tqllqulkl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1810560 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**3 + 4*i**2. Let f be n(-4). Let w be ((-2)\/24)\/(21*11\/(-2079)). Which is the closest to f?  (a) 1\/7  (b) -6  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) -2  (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, w: 2, e: 1, r: 1, f: 1, k: 1}. Give prob of sequence rkfk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11 - -28. Let f = -12 + k. Suppose 5*n + 2*b - 3*b - 830 = 0, -f*n - b + 820 = 0. Calculate the greatest common factor of n and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12\/(-54) - 11024\/(-36)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 85650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -124*d**3 + 8*d**2 - 3*d - 17266 wrt d.\nAnswer: -372*d**2 + 16*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 975 - 979. Sort 0, v, 64 in increasing order.\nAnswer: v, 0, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66*s - 61*s = 65. Solve 2*r + s = -3*u, 7 = 3*u - r - r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 + 3. Which is smaller: x or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -12cc2 + -38?\nAnswer: -1302a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/24)\/((9\/24)\/((-306)\/1428)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -74 + 74.4. Let h = -2.1 + 59.1. Let n = 57.3 - h. Which is the biggest value?  (a) -3  (b) 2\/9  (c) t  (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 149459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1486225903 + 2*o + 1486225903.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 2.9353, 17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 5*o + 3. Let n be (-4 - (-2 - -2)) + 8. Let y be (-13 - -9)*22\/n. Let r be (0 + -1)*(y + 19). Determine s(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62.76693 rounded to one decimal place?\nAnswer: 62.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1191282 and 10721538.\nAnswer: 10721538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3778.9811 - 0.1811. What is y rounded to the nearest 10?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oel when three letters picked without replacement from {e: 6, j: 7, p: 1, o: 1, r: 2, l: 2}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 10870 a multiple of 270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 189485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 37601208 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*0*5\/(-20). Let i(h) = -7*h**2 - 2*h + 683. What is the units digit of i(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2\/19 + 73026*f\/19 - 73028\/19.\nAnswer: 2*(f - 1)*(f + 36514)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from jbqndnb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.1022 * 0.4178\nAnswer: -0.04269916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1897900489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 43, 3, -2\/11, -19 in decreasing order.\nAnswer: 43, 3, -2\/11, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 27.4 - 27. Put a, 0, -0.5 in increasing order.\nAnswer: -0.5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2290, 0, -3?\nAnswer: -2290","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 2*u - 5*u. Find n such that -2*n**2 - 12 - 12*n**3 + 12*n + 3*n**u + 7*n**2 + 4*n**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64.963666 rounded to zero decimal places?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -140 + -437. Let s = 577.4 + l. What is the third biggest value in s, -8, 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/372*((-9)\/(63\/35) - -1)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8162 = -1608*r - 28933 - 12753 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0030604 to 5 dps.\nAnswer: -0.00306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 912 - 902. Suppose -o + u = 5*p, 3*p + p - 4 = 0. Let x = 3.2 - 3. Which is the second biggest value?  (a) o  (b) 3  (c) 0.18  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*u + 68 = 8. Suppose 2*m + 0*m - 4*f - 1178 = 0, 1737 = 3*m + u*f. What are the prime factors of m?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, -0.5, -9, -5, -1.34 in descending order.\nAnswer: -1\/6, -0.5, -1.34, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 13311401 (base 5) to base 7\nAnswer: 1102150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the first derivative of -q**3\/3 - 5*q**2\/2 + 2*q - 12. What is u(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 141406 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 d be -15 + (0 - 3) + 11 - 5*-3. What is the greatest common factor of 3368 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m - 7*m = -4. Let v(q) = -q**3 + 14*q - 7. Let w be v(-4). Sort 0, m, -1, w.\nAnswer: -1, 0, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1*3\/(-12) + 450\/840. Which is the closest to n?  (a) 2\/5  (b) 18  (c) 3  (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2495 divide 243649225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 6, q: 4, o: 4, s: 1}. What is prob of picking 2 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x - 2, q - 3*q = 3*x - 5. Suppose -2*u = -k - 3*k + 10, 0 = q*k + u - 7. What is the units digit of 23\/5 + k\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 826765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -0*p + 60. Let l(j) = -2*j + 34. Let a be l(-27). Suppose 0 = 83*y - a*y + 80. Does p = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 541362?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 2*w - 18 = -7*w, -w = -s. Solve s*k + 14 = 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (119*h - 231*h + 116*h)*(-1 - 2*h + 1)*(h - 2*h**3 - h).\nAnswer: 16*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 27135 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*z**3 - z**2 - 183*z - 36545 with respect to z.\nAnswer: 9*z**2 - 2*z - 183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 10*a**2 - 2*a + 4. Let f be r(1). Solve -3*d = d - 4*j + f, 0 = -d + 2*j - 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the second derivative of g**5\/10 + 4*g**3\/3 - 7*g. Find the second derivative of k(l) wrt l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3434 + 3433 - 6892 - 39*c**2 as k*c + l + m*c**2 and give l.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 143 a factor of 4290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 4*g**2. Let u(x) = -25*x**2. What is u(j(q))?\nAnswer: -400*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-2*sqrt(180)\/sqrt(3))\/(sqrt(24)\/((sqrt(72)\/sqrt(3))\/sqrt(12))).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -3*q**2 + 63*q - 63*q. Let g(b) = 41*b**2. Calculate g(i(s)).\nAnswer: 369*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -242 - -1449984.\nAnswer: 1449742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.2  (b) 187  (c) 2  (d) 28  (e) -2\/9  (f) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 16762 = 3*i, 5*w + 5*i - 27726 = 56124. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 7*j = -2*h - 4, -3*j = 4*h - 14. Let q be 2\/10 + ((-57)\/(-15) - 0). Solve j*n + q = -0*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 103 - 37*p**3 - 21*p**3 - 49 - 51.\nAnswer: -58*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2811*d + 60 - 1406*d - 1405*d - d**2 + d**3 + 3*d**2.\nAnswer: d**3 + 2*d**2 + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -295*n + 5602. Let q be h(19). Let k(o) = -5*o**3 - 18*o**2 - 7*o. Calculate k(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1747, -3963, -6175, -8383?\nAnswer: -10587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 1501*q - 1. Let z(g) = 1470*g - 1. What is -7*t(c) + 6*z(c)?\nAnswer: -1687*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.08 - 0.08. Let c = -0.29 - 0.01. What is the biggest value in c, -0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -226079 + 47a?\nAnswer: -2256aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (166 + 2*d**2 + 101 + 151 - d)*(0*d + 0*d - 2*d**2).\nAnswer: -4*d**4 + 2*d**3 - 836*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5*12)\/5*(-13)\/(-26).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 562 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 - v + 7. Let k = -55 - -47. Let x(b) = -b**3 - 9*b**2 - 6*b + 16. Let u be x(k). Give s(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*5*5*(sqrt(700) - (sqrt(700) - (0 + sqrt(700) + sqrt(700))))**2*-6.\nAnswer: -1680000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2842956 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2158 is divided by 180?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 - (-19 - 12 - -11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 4*t - 8 = -n, 4*n + 24 = 2*t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1927.07 - 1927. What is the third smallest value in -0.5, -61, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 + -1 - 2 - (38296 + -38289)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 + (-2 - -3) + 1. Suppose 5*f - y*f - 9 = 0. Suppose -2*d + 0 = m + 6, 0 = f*m - 3*d - 18. What is the highest common divisor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 382186.5 + -0.2.\nAnswer: 382186.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 3*u**3 + 110*u**2 - 1653*u - 958. Calculate m(-48).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 18*n**2 + 37*n + 10. Let s = -452 - -443. List the prime factors of t(s).\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2685274 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4833353 is divided by 840?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the third derivative of -503*q**8\/336 + 89*q**5\/30 + q**3\/6 + 512*q**2. What is the third derivative of l(i) wrt i?\nAnswer: -30180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 times -900741\nAnswer: -10808892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 0*u**2 + 0*u - 5\/4*u**3 + 0*u**4 + 0 + 5\/4*u**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5\/3, 11, -1, 3, 16, 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 25d3 + 3?\nAnswer: 25d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1746.189 millilitres to litres.\nAnswer: 1.746189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 13*o + 46. Let l be f(-3). Solve 4*t - 15 + l = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2064199*t**3 - 915661*t wrt t.\nAnswer: 12385194*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 37180 divided by -4?\nAnswer: -9295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(684) + (sqrt(684) - (-1 + sqrt(684))**2)*2 - 1*(sqrt(684) + -1))*2 + -4 + (sqrt(684)*-3)**2 + (sqrt(684)*3 - sqrt(684))**2*1.\nAnswer: 72*sqrt(19) + 6150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6398302*o*t - 4102845*o + 3 wrt t.\nAnswer: 6398302*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/(3\/200) + 125 + -121. Suppose 3*i + 806 = 4*q, -h = -q - 0*i + 2*i. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*t - 1 + 12*t + 2*t + 8 + 13.\nAnswer: -2*t + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the first derivative of -3082*z**3 - 3024*z + 4744. What is the derivative of k(j) wrt j?\nAnswer: -18492*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -37 - -38. Calculate the smallest common multiple of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*2*21\/(-6). Let k be 2\/3 - v\/21. Let m = 30 + -22. Calculate the greatest common divisor of k and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**2 + 10*j - 8. Let s be d(6). Let q = -12 + s. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 2*x + 58. What is the remainder when w(-8) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2077149049?\nAnswer: 4861, 427309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 + 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, z: 1, o: 1, j: 1, m: 6, b: 3}. What is prob of picking 1 b and 1 a?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19947 - 3*r + 4155 - 3*r + 7*r.\nAnswer: r - 15792","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.56805615 + 1?\nAnswer: 0.43194385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-33 - -29) + (-9 - 12)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -342\/7*s**3 + 1032*s**2 + 3698\/7*s + 4\/7*s**4 + 0.\nAnswer: 2*s*(s - 43)**2*(2*s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3180\/17051 - -10703562667\/102306. Let d = n - 102655. Let o = -1946 + d. What is the common denominator of o and 11\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 1:43 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + -4)*(-37 + (-27 - -61))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -8, -29, -13\/233?\nAnswer: -13\/233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 483847 or 483917?\nAnswer: 483847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 8) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2039655 (base 10) to base 11.\nAnswer: 1173472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -19 + 19. Let h = 1314.2 - 1314. Which is the nearest to h?  (a) n  (b) 1  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 13*b**3 + 2*b**2 - 2*b + 29. Let k(p) = -14*p**3 - 3*p**2 + 3*p - 31. What is 3*j(d) + 2*k(d)?\nAnswer: 11*d**3 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 39, 56, 89, 144, 227?\n\"Answer: n**3 + 2*n**2 + 4*n + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*w - 1133852 = -410525. List the prime factors of w.\nAnswer: 3, 11, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1629640 (base 10) to base 13.\nAnswer: -4509ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -502.9598 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 5*i - 4 = -3*i, -5*i - 16 = -4*x. What is the remainder when x is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 - -8. Suppose 2*n + b*n + 28 = 0. Let p be 6\/n - 248\/(-56). Solve 0 = -0*w - p*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10237 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -303*p - 100*p - 115 - 32*p - 59.\nAnswer: -435*p - 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q**3 + q**3 - 4*q**3 - 3*q**3 + 4*q**3 + 0*q**3 + (40 - 40 + 18*q**2)*(3*q - 4*q + 0*q))*(-2*q**2 + q - q).\nAnswer: 36*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 262395 and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -7395749.\nAnswer: -2\/7395749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h - 1 + 1)*(1 + 1 + 0) + 0*h + 0*h - h + h - 2 + 2 + 24*h + 6*h + 11*h.\nAnswer: 45*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 21112 (base 3) to base 10\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - (2 + -8 + 6 - 3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - 3*n + 145, 4*y + 15*n - 10*n = 287. Suppose -75*c = -y*c - 84. Calculate the remainder when 20 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103955 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 3*w + 33, w - 8 = -y - w. Let t = y - 19. Let z be 6 - (-1 + t\/(-3)). Solve 6 = -4*f - 3*s, -5*f - 2*s + 0*s - z = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 - 22*z**2 + 21*z + 3. Calculate w(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**3 - 5*a**2 + a + 1. Let y be x(5). Let l(k) = 3*k - 2. Let t be l(2). Sort t, y, 2 in decreasing order.\nAnswer: y, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -117, -112, -107?\n\"Answer: 5*c - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 4 = -1, 4*j + 7 = 3*h. Let k be (-2)\/((-16)\/2*h). Is -4\/3 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-17)\/(b**(-11\/5)\/b)*(b*((b*b\/(b*b**(-15)*b*b*b))\/b*b)\/b*b)\/b*b\/(b*b**(2\/21)*b)*b assuming b is positive.\nAnswer: b**(-94\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 + 3. Let q = -3 - f. Let m = 3 + q. Are -2\/3 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y, -b - 5*y - 24 = 2*b. Let t = 38 + -54. Calculate the remainder when 9 is divided by b*(-4)\/(t\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11342, 22450, 33450, 44348, 55150, 65862, 76490?\nAnswer: 87040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9 + 6. Let r be -2*(4 + m) + -2. Which is the biggest value?  (a) r  (b) -0.2  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1\/(-74))\/(-3*1\/6). Which is greater: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -3183.\nAnswer: 5\/3183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(5\/7)\/(c\/c**16))\/((c**(-5)\/c)\/c**(1\/29)) assuming c is positive.\nAnswer: c**(4415\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 2*o - 28478, -521 = o - 519. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*i = -16*i - 28*i - 2835. Calculate the lowest common multiple of 297 and i.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 94bc (base 16) to base 12\nAnswer: 1a050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 + 5 - 4)*0. Solve -f + 3*x - 5 = -u*x, -3*f - 2*x = -7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -44103315 or -44103314?\nAnswer: -44103314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11367521*w**4 - 7004205*w**2 wrt w?\nAnswer: -272820504*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 143553 and 327?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 37 - (-14 + 7 + 11). Solve -6*t = 5*t - k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2553 is divided by 509?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 11*p - 15 = 0. Let d(o) = -o**3 - 2*o**2 - 1. Determine d(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000391 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 3 - 1296*f - 31*f**3 + 237*f + 1059*f.\nAnswer: -31*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 to the power of 1\/2, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((2*sqrt(700) + sqrt(7) - sqrt(7)) + sqrt(567)*-2)**2.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 108 and 1026.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, k: 2, o: 4, z: 1}. Give prob of picking 1 e and 2 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -60509111 divided by 4654547.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**3 + 6*o**2 - 7*o + 5. Let k be a(-7). Suppose 0 = 5*r + 5*w + 105, -3*w + 72 = -4*r - 40. Let j = -18 - r. Solve 0 = -k*x + 13 + j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-2\/17))\/(s**(-1)\/s))\/(s**(-1\/3))**(-1\/10) assuming s is positive.\nAnswer: s**(1453\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**3 + 6*k**2 + 4*k + 1. Let i be n(-5). Suppose -i*j + 3*j + 102 = 0. Let v = 48 - j. Calculate the remainder when 55 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/50*5\/((-20)\/24)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 7*y + 3. Let l(i) = -i. Let f(z) = j(z) + 2*l(z). Calculate f(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 4, n: 5, o: 5}. What is prob of sequence onz?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 165 divide 4392531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(-5)*76\/19*(-33)\/(-12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5563.\nAnswer: 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 21651077 to the power of 1\/2, to the nearest integer?\nAnswer: 4653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 19295607 + -2?\nAnswer: 19295605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 132133.\nAnswer: 229, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 17681*g**2*k**2 - 3*g**2*k - 25*g**2 - 87*g*k**2 + g*k + g - 9*k**2 - 31*k wrt g.\nAnswer: 35362*k**2 - 6*k - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*v + 16*v + 11520 = 0. Is 80 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6 + 0*t + 3 - t)*(t - 2*t + 5*t) to n*t + q*t**2 + r and give n.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -2221, 7\/2, -3\/7 in increasing order.\nAnswer: -2221, -3\/7, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2188 + 4399. What are the prime factors of o?\nAnswer: 7, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15577 is divided by 107.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -124 * -0.0646756\nAnswer: 8.0197744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -81528553\/416 - -195982. Calculate the common denominator of -93\/160 and c.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 - -10011210?\nAnswer: 10011201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 541921 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40712 divided by -2.\nAnswer: 20356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 5*u + 520, -528 = -3*z - 5*u + 2*u. Suppose 5*w = w - l + z, 4*l + 203 = 5*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 19*c*h**2*o - 27*c*h**2 + 6007*c*o - 2574*c + 397*h**4 with respect to h.\nAnswer: 38*c*h*o - 54*c*h + 1588*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*s**2 - 5*s**2 - 12*s**3 - s + 2*s + 3*s - 9*s**3 to the form l*s + r*s**3 + h*s**2 + m and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 438 - 444 = -3*v. Solve -6 = -2*z - m, z - 7*m - 14 = -v*m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8718 is divided by 4358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 4608276, 9216553, 13824830, 18433107?\n\"Answer: 4608277*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 0*r = -4*n + 705, -3*r - 423 = 3*n. Let u be 4\/14 - r\/21. Let q be ((-125)\/10 + -1)*(21\/9 + -3). Is q smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70308 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*p - 3*p - 12. Let m = -1 - p. Suppose -2*v + 7 + m = 0. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1136394 divided by -568197.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*v + 5*n + 31 - 42, -4*v = -3*n + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 10\/10*0\/2. Suppose 5*c - 5 = a, 0 = 4*g - 3*g - 5*c + 3. Let b(n) = 76 - g*n - 76. Let s(v) = 5*v. Calculate b(s(o)).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 158908, 158904, 158900, 158896, 158892?\n\"Answer: -4*q + 158912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.004499001 to 4 decimal places.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 223603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 555598.2 nanometers?\nAnswer: 0.05555982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u**9*u*u))\/u*u*u*u**(2\/9))\/(u**(-1))**(-24) assuming u is positive.\nAnswer: u**(-295\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1a2 - -4?\nAnswer: -19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (22 - 22 + 3*k)*(2*k - 34 - 62 + 35).\nAnswer: 6*k**2 - 183*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -324 + 313. Let q(r) = -r**3 - 6*r**2 - 7*r + 35. What are the prime factors of q(a)?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 0 - (21 - 20)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -104 + 46. Let d = k + -2. Let j = d - -21. What is the third biggest value in j, 2, -1\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.01 times 0.07\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 16 (base 8) to base 3\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 169\/4 + ((-4)\/(-16))\/(-1) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 23, 0.5, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18669.\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 2*x + 25. Let f be v(-11). Suppose b = -f*g + 11, 5*b + 0*b + 25 = 5*g. Put g, -5, -1 in ascending order.\nAnswer: -5, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.9 + 4. Let s(x) = x**3 - x**2 - 3*x + 3. Let o be s(2). Sort 1\/6, o, d in descending order.\nAnswer: o, 1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - -1) + -11 + 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:08 AM and 11:35 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4078*t**3*y**2 + 2*t**3*y + 1090*t**3 wrt y?\nAnswer: -8156*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-8) + 42\/8. Suppose 3*m + 5*p - 29 = 0, 4*m - 15 = 3*m - 3*p. What is the third derivative of 2*k**5 + k**5 - m*k**2 + 0*k**x wrt k?\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5724 and 862893.\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*k - 308 + 1036 = 38*k. What is the remainder when 1604 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 433*u + 16151 = -88*u for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 18177 and 365.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4475230427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -1. Let t(k) = k + 3. Let q(a) = -a + 1. Let j be q(0). Let b(h) = j*t(h) + 3*r(h). Let d(m) = m. Calculate b(d(u)).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1431.5 times 1421\nAnswer: -2034161.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**2 + 2*d + 3. Let a be o(0). Suppose 3*g - 3*h = 1 + 14, -a*g + 16 = -4*h. What is the units digit of (-3)\/(0\/g - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 14) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002737 to five decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*l + 13*r - 14*r + 12, 12*l = -5*r - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1392 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: What is 21\/2 of a millennium in years?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16 and 6476.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4 + 630*2\/9*60?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 194 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*a - 12 = 29*a. Let g be (-5)\/a*9\/(-60)*2. Factor 3\/8*h**2 - g*h - 3\/4.\nAnswer: 3*(h - 2)*(h + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-8)\/1 - (-1365 + 7). Calculate the greatest common factor of o and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3558 - 7662 = -102*q. What is the greatest common factor of q and 1265?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the first derivative of -t - 15\/2*t**2 + 4. What is the units digit of o(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -3*k. Let t = 5 - k. Let f(w) = 9*w - 1. Let h(x) = -1. Let j(c) = -f(c) - 4*h(c). Let q(o) = -10*o + 6. Give t*q(g) - 6*j(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -90*d - 13. Let f(j) = 5*j + 1. Determine 22*f(b) + 2*r(b).\nAnswer: -70*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1427, -1543, -1883, -2567, -3715, -5447?\nAnswer: -7883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**2 - 19*r + 71. Let l = -140 - -155. Let u be d(l). Solve -g = -3*t + u, t - 13 = 2*t + 3*g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3226925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10001100000 + -1?\nAnswer: 10001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 4, -13, 0, -326, -12, 5 in decreasing order.\nAnswer: 5, 4, 0, -7, -12, -13, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13*(-8 - -26 - 1*4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oooooo. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -227*z**2 + z**4 - 2 + 227*z**2 + z**3 - 7*z in the form p + f*z**2 + r*z + l*z**3 + u*z**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 55 - 25. Let s = 30.042 - l. Let o = s - -0.015. Round o to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1\/26 - -1075\/234. Calculate the common denominator of k and 36\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-5 + 1 + -4) - -9\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3 - -1 - 1) + 2. Let m(s) be the third derivative of 7*s**4\/24 + s**3\/6 - 6*s**2. Give m(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*t**3 - 25*t**3 + 45*t**3 + t + 2*t**3 - t + 3*t**2 + 2*t**3 - 3*t**2 + (t**2 - 2 + 2)*(2*t + 0*t - t) - 5*t**3 + 9*t**3 + 0*t**3)*(t - 7*t + 0*t).\nAnswer: -150*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -97666 divided by -323\nAnswer: 97666\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (2*((sqrt(2448) - (sqrt(2448) + -1)) + sqrt(2448)) - (sqrt(2448) - 3*(-1 + sqrt(2448))))**2*3)*5*-3.\nAnswer: -1762650 + 4320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 32 and -15.03?\nAnswer: -480.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -57 + 56. Which is the nearest to 1?  (a) -4  (b) j  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 1981746533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/(r**(-1)\/r)*r)\/r)**(-2\/25))**(-15) assuming r is positive.\nAnswer: r**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -251*t - 186*t - 292*t = -2916 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 3834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*v, -2*s + 4*v + 4 = 2. Solve 0*n - s = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -70853211*m - 120348588?\nAnswer: -70853211","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j. Let y(l) = -3 - l**2 - 2*l - 2 + 5*l + 7. Give 2*r(w) - y(w).\nAnswer: w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the third derivative of -c**5\/30 + c**4\/8 - c**3\/2 - 8*c**2. Give f(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 773\/2632 + 4\/(-14). Let p = k + 26311\/1128. Let v = p + -131\/6. Which is the biggest value?  (a) -1\/3  (b) v  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -2. Let p(h) = 22*h + 3. Let g(v) = -2*p(v) - 6*q(v). Find the first derivative of g(z) wrt z.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18 - 15. Suppose 0*r - f = r. Calculate the smallest common multiple of 11 and (-16)\/(-4) + (-3 - r).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from {i: 3, u: 15}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -5*v**2 + v + 9. Let t(i) = 27*i. Calculate w(t(c)).\nAnswer: -3645*c**2 + 27*c + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 5  (b) -12  (c) 762\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 153 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g = -g + 160. Suppose 0 = g*v - 18*v - 4. Let r(u) = 2*u**v - 11*u + 11*u. Let a(x) = 27*x. Determine a(r(d)).\nAnswer: 54*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5*4*21\/140. Solve -2*x - 3*u = -10, s*u = -3*x + 5 + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 108177 (base 10) to base 9\nAnswer: 174346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21185, -21182, -21177, -21170, -21161, -21150, -21137?\nAnswer: -21122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/4 - (-6)\/4. Let m(r) = -4*r + h*r - 2*r. Let o(i) be the first derivative of i**3\/3 + 4518. What is o(m(c))?\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 + 28*z + 7. Let b = 11 - -32. Suppose 2*t = 4*l - 3*l + 23, -l + b = 4*t. List the prime factors of j(t).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + 10 = -j, -7*j - 15 = 3*o - 2*j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**2 + z + 1. Let n(r) = -9*r**2 - 26*r + 5. Let g(k) = k**2 + 5*k - 1. Let l(q) = -4*g(q) - n(q). Determine l(d) - 6*y(d).\nAnswer: -d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 12 + (-50 + (-74 - -47) - (-1 + -12))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3478 + 3507. Solve 71 = 14*a + b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 823?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 22*b - 7*b**2 - 18*b + 8*b**2 as i*b + r + d*b**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 + 8*r**2 - 3*r + 4. Let h be l(7). What is the greatest common divisor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s = -4*j, -3*s = -6*j + 13*j - 9*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-23)\/460)\/((-3)\/27*13\/(-26)).\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/23)\/w*w**(-13\/3))\/((w\/(w**(-3\/17)*w))\/(w\/(w*w**(1\/25)\/w*w))) assuming w is positive.\nAnswer: w**(-161473\/29325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -68.97, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, z: 4, t: 6, k: 1, j: 1, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -66, -86, -84, -48, 34, 174, 384, 676?\n\"Answer: 2*g**3 - g**2 - 31*g - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5676 is divided by 1841.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/150 and -155\/66.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 252.56 rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 288237724?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of d**2*r**5 - d**2*r - 13*d**2 + 1092*d*r**5 - 47 wrt r.\nAnswer: 20*d**2*r**3 + 21840*d*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2\/7 - 50\/7.\nAnswer: 2*(x - 5)*(x + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 175 = 26*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 214243 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3242 - -3245. What is the closest to -0.3 in -17, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81162088 divided by 7672?\nAnswer: 10579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 36 and 48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22210010 + 211101?\nAnswer: 100121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 262976 and 3136?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.2  (b) 3\/13  (c) 207936\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*x + 14*x - 281000 = 0. Round x to the nearest one thousand.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 + 2)\/((-5)\/15). Suppose 8*x + 35 = 5*x + 4*c, 5*c = -3*x - 17. Let f = u - x. Solve 3*i + j = 4, j - f*j - 10 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5922879b + 1?\nAnswer: 5922879c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 8*u - 15. What is the units digit of t(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.558837 rounded to two decimal places?\nAnswer: -1.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 3*x - 2 = 5*x, 0 = 2*m - 4*x + 12. List the prime factors of 0 + (m\/4 - (-650)\/4).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g**(1\/2)))**(-14)\/(g\/((g**(-7)\/g)\/g*g)*g**5)*((g**(-2\/5))**(-50))**(1\/7) assuming g is positive.\nAnswer: g**(-29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8205 = -15*m + 1215. Is 17 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000009890002 to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 60\/(-54) - (-4)\/2. Let h = 79186 + -20509234\/259. Let z = -2\/37 + h. What is the second smallest value in z, -2, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -2*k**3 + 53*k**2 + 354*k + 7. Calculate o(-6).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4099255 to the power of 1\/2, to the nearest integer?\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 3, h: 1}. What is prob of picking 3 d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1453 + -1308a0?\nAnswer: -132243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 110111001001011111110 (base 2) to base 15\nAnswer: 25a687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of 717526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes after 8:32 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -29, -3, 4, 5 in decreasing order.\nAnswer: 5, 4, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - 2. Let u be z + -6 + 4 + 5. What is the third derivative of 14*r**4 + 120*r**2 - 106*r**2 + u*r**4 wrt r?\nAnswer: 384*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8082\/2694)\/((-12)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/4*2\/6. Let q(r) be the second derivative of 0 + p*r**4 + 0*r**3 - 3*r**2 + r. What is the first derivative of q(t) wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4 or 96219?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10146979?\nAnswer: 23, 89, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.7 + 79.7. Let m = q - 3. Let c = 75.0138 - m. What is c rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i - 1. Suppose 3 = -4*c + 5*o, -2*c + o + 1 = -2. Let z(n) = 3*n + 2. Determine c*z(h) + 6*s(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 258185 is divided by 85609?\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 PM and 2:27 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -117.5 + 28.5. Let u = z - -88.999999777. Round u to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -9 - 11 + 0 - 141545*h. Let i be f(14). Let t = -4218350 + i. What is t rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/2 - (-142)\/4. Let x = u - 18. What is the highest common factor of x and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) -119  (c) 3\/2  (d) 5  (e) -3.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-12)\/14)\/(33\/(-77)). Suppose -4*d + 65 = -5*f, z*f + 10 = -0. Let i(c) = -c**3 + 11*c**2 - 9*c - 14. Calculate i(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-45))\/(4*(-6)\/(-60)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -935577.3 rounded to the nearest ten thousand?\nAnswer: -940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3040 - 3039.34. Which is the nearest to y?  (a) 4  (b) 1  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 2*d**3 + 12*d**2 - 5*d - 3. Let m be t(-6). Let j = 4 + -2. Let z(u) = -21*u**j - 1 + m*u**2 + 1. Let i(l) = -l. What is z(i(a))?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.21  (b) 1.07  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1366901296\/2035 + 671696. Find the common denominator of 56\/185 and m.\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 7\/16 of a day?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -2*j - 3*s, s = 3*j + 4*s - 15. Is 4 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3385170.\nAnswer: 2, 3, 5, 29, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**4*k**(-3)\/k assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -11 + 2 + -2 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.1 - -5.1. Let u = -4106\/11 + 373. What is the second biggest value in u, 2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23869670 + 1.2.\nAnswer: 23869671.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and -17.32.\nAnswer: -8.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(1\/2))**(-36))**(-1\/37)*u**3\/(u**8\/u)*u*u*(u*u**6)\/u*u**(-1) assuming u is positive.\nAnswer: u**(129\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 4, l: 5, o: 2}. Give prob of picking 2 l.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -190 - -304. List the prime factors of ((-5)\/((-25)\/84))\/(x\/1520).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 - 6*h + 24. Let c(s) = 5*s - 23. Let k(f) = -5*c(f) - 4*r(f). Is k(6) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 206 by -7.\nAnswer: -206\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the second derivative of 0 - 1\/168*s**7 - 7*s - 1\/48*s**4 + 0*s**3 + 0*s**2 - 3\/80*s**5 - 1\/40*s**6. Solve r(l) = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -18319375063 + 8.\nAnswer: -18319375055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -2*s + 20. Let o(m) = -m**3 - 4*m**2 + m + 6. Let b be o(-4). Suppose -2*x = 4*l - b, 0 = -l - 4*x - 10. Solve 3 + l = s*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13747973.\nAnswer: 31, 317, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3068128, -5, 2 in ascending order.\nAnswer: -5, -4, 2, 3068128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3\/4, 8\/45, 5, 0.7226?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the second derivative of -q**5\/10 - 3*q**4\/4 + 3*q**2\/2 - 2*q. Is s(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1260124133\/1453368 + -249399\/287. Let p = 47\/24 + n. Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2\/23)\/q*q**(-26))\/(q**22\/q*q**(-2\/3)) assuming q is positive.\nAnswer: q**(-3272\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*x - 75*x + 2142 = 7*x for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 p when three letters picked without replacement from {v: 5, f: 3, p: 2, o: 1, w: 5}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*i + 41*i - 1556 = -9536 for i.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 3*d**2 + 5*d - 1. Let f(b) = 4*b**2 + 5*b - 1. Let v = 60 + -48. Suppose -8 - v = -4*z. Let i(a) = z*t(a) - 4*f(a). Calculate i(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 168564397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1650 and 24420.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -25, -10, 3\/89, 15, -3, -5, 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3  (b) 1\/5  (c) -0.4  (d) 5  (e) -9  (f) 3579\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*x**2 - 66*x - 98*x - 55*x.\nAnswer: -4*x**2 - 219*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -390738 + -62.54?\nAnswer: -390800.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3, -3\/4, 0.2, 41?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b**5 - 304*b**4\/3 + 212*b**3\/3 + 104*b**2\/3 = 0 for b.\nAnswer: -26, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 - 2)*(-3*b - 3*b + 2*b + (-b - 2*b + 2*b)*(2 - 3 - 1) + 0*b - 2*b - b).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -4*k + 14, 0*k - 2*k = -6. Suppose s = 2 + u. Suppose 0 = w + 4*m - 4 + 11, -6 = -2*w + 2*m. Solve w = -s*d - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -124960, -124966, -124976, -124990?\nAnswer: -125008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.5 and -156.53379949031?\nAnswer: 156.03379949031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -110 - -164. What is the highest common factor of f and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77 = 12*b - 127. Let q(c) = 27*c - b*c + 22*c + 5*c. Let x(z) = z**2. Determine q(x(n)).\nAnswer: 37*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 14 - 92 - (-26 - 0 - -10)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 0 - 5)*(d**4 + 0*d**4 + d**4).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 34318560 divided by -1143952\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -10786752.4 to the nearest 10000.\nAnswer: -10790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -25.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 777 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -3*h + 7. Let d(b) = 9*b - 22. Let a(m) = 3*d(m) + 8*r(m). Is a(7) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12431\/4 + -3108. What is the third smallest value in h, -40\/13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -233.5 in 10, 3, -645?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 12c6 (base 13) in base 8?\nAnswer: 5211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 2*h + 25146 = -4606, 4*h + 29776 = 5*m. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/2, 264, 2, -9, 1 in descending order.\nAnswer: 264, 2, 1, -3\/2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 3*o + 37, 55 = 5*m - o + 6*o. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 + -895849076\nAnswer: -895849075.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -81\/3608917?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 166467, 166663, 166989, 167445, 168031?\n\"Answer: 65*z**2 + z + 166401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1238799\/711 - (-1 - -15))*(-1 - -10).\nAnswer: 3, 5, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -2*n**3 - 9*n**2 + n + 2. Let f be j(-5). Let l be (-2)\/5 + 103\/(-5). Let t = l + f. Is 0 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.8855571 years?\nAnswer: 0.008855571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 743 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the second derivative of 7*w**6\/135 + 2*w**5\/45 - 49*w**4\/54 + 14*w**3\/27 + 8*w**2\/3 + 14*w - 15. Find c, given that r(c) = 0.\nAnswer: -3, -4\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -64449 + 699386470.\nAnswer: 699322021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 476, -544, -1564, -2584, -3604, -4624?\nAnswer: -5644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*z**3 - z**3 + 8*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 605.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 28941\/3 + 3\/(27\/(-72))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(180))**2*3 + sqrt(180) + -5 + sqrt(180)*3*-4 + 5.\nAnswer: -66*sqrt(5) + 8640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -9*k + 18 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -44535283, -44535281, -44535269, -44535241, -44535191, -44535113, -44535001?\nAnswer: -44534849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from {w: 1, b: 1, x: 1, y: 2, z: 2, i: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2016 divided by 28?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 2 + 2 = 0. Let m = 3 + -3. Suppose m*r + 262 = z*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 4, k: 3}. What is prob of sequence kuku?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -55121771*l - 270233837 with respect to l.\nAnswer: -55121771","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 6, t: 2, h: 2, j: 2}. What is prob of picking 1 j and 2 c?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 - 7*z**2 + 4*z + 11. Calculate o(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 49351, 49354, 49371, 49408, 49471, 49566, 49699?\n\"Answer: s**3 + s**2 - 7*s + 49356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 4*o**2 - 816*o + 1616 = 0.\nAnswer: 2, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*q**3 - 5881*q**2 - 164950*q - 107352.\nAnswer: (q - 1988)*(q + 27)*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -0.1966109.\nAnswer: 0.1966109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14456, -28932, -43410, -57890, -72372?\nAnswer: -86856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the first derivative of 7 - 8*c + 1\/4*c**4 + 0*c**3 - 1\/2*c**2. Let s be 2 + (-2 - 0\/1). What is g(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2925 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -61 + -26 + 115 - 44.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 45*h**5 - 22*h**5 + 51*h**5 + (3*h**3 - 4*h**3 - h**3)*(-3*h**2 - 2*h**2 + 3*h**2).\nAnswer: 78*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34162215 divided by 1.\nAnswer: 34162215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 1103807.1 to the nearest 100.\nAnswer: 1103800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 310*v - 302*v - 6 = 0, -3*y + v - 8 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 33*o = -252, -32*g = -34*g - 2*o + 68 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/3)\/(1634\/258).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34083311?\nAnswer: 601, 56711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(2 + (sqrt(98) - (sqrt(98) + -1 + sqrt(98)))**2 + -4).\nAnswer: -582 + 84*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-50*n + 6*n**2 + 50*n)*(-3*n**2 - 2*n**2 + 6*n**2) + 433*n**3 - 11*n**3 - 6*n**4 + 259*n**3 + 5*n**4.\nAnswer: 5*n**4 + 681*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 182421805 divided by 2773\nAnswer: 65785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uub when three letters picked without replacement from hhshuaisbaiu?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1837 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0 * -2.83243\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -363 (base 11) to base 10.\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12600 is divided by 134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 13381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -43 + 26. Let y be (1 + m)\/((-5)\/60). Suppose 0 = 5*w, 0 = 2*r - 6*r + w + y. Calculate the highest common divisor of 16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m + 4*g + 1100, -4*m + 839 = -0*g + 5*g. What is the highest common divisor of 24 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(-13) - 81\/(-39). Is a equal to 69\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -576*q + 581*q + 4*d = 8, 4*q + 2*d - 10 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 15407\nAnswer: 5\/15407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u + 146 = 5*f + 4*u, 5*f - 144 = 2*u. Let n = f + -137\/5. Let w = -4 - -3. Which is greater: w or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (10 + -15 + 8)\/(-1). Let i(t) = 14888*t**3 - 6*t**2 - 13*t - 9. Let x be i(o). Round x to the nearest 10000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -4*m**2 - 225*m - 492. Calculate a(-54).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 401 + 6e?\nAnswer: 46f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -121*r**2 - 14*r - 2398. Let p(o) = 485*o**2 + 52*o + 9590. Let z(i) = -11*h(i) - 3*p(i). Differentiate z(s) with respect to s.\nAnswer: -248*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -146 + 295. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 43.76 - 48.76. Which is the smallest value?  (a) -0.5  (b) -2  (c) o  (d) -1\/38  (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -3, -6, -1, -500.\nAnswer: -500, -10, -6, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0\/(-1))\/(-5 + 3). Let j = -54 - -36. Let u = -23 - j. Sort u, m, -3, 6 in descending order.\nAnswer: 6, m, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -552+0.091249514\nAnswer: -551.908750486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 8*s = -230. Suppose p - s = -13. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -26 + 21. Let f(x) = x**4 + 6*x**3 + 9*x**2 + 10*x. Let i(v) = -2*v**4 - 12*v**3 - 19*v**2 - 20*v - 1. Let d(j) = h*f(j) - 3*i(j). Factor d(y).\nAnswer: (y + 1)**3*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -35, -2\/7, 1\/2, -0.04?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 258\/(-30) - ((-54)\/15)\/6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 295345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22\/121 + (797\/275 - 3).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/8, -0.1, -0.0665, 144473 in ascending order.\nAnswer: -0.1, -0.0665, 1\/8, 144473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 20, 3, 5 in increasing order.\nAnswer: 3, 5, 8, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2*v**3 + v**2 + v - 1. Let j be u(1). Suppose -j*d - 70 = 2*y, 3*y + 118 = -3*d + 5*d. Let x = -15 - y. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.96 - -0.04. Let s = -0.1 - 0.1. Let d = s + 0.1. Which is the second smallest value?  (a) -3  (b) p  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (4 + -6*(sqrt(343) + (sqrt(343) - (sqrt(343) + sqrt(343) + sqrt(343)*2 + sqrt(343) + 1))))**2*-2.\nAnswer: -222469 - 5040*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 25539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 5*r = -4, -m - 3*r - 4 = -0*r. Let n(v) = 10*v**2 - v + 1. What is the remainder when n(-1) is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -8 - ((-399)\/39 + 5). Is x at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, n: 1, t: 1, l: 7, z: 3, f: 2}. What is prob of picking 1 l and 1 z?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) -3  (c) 4  (d) 2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjvikjzjzkjozkjoj. What is prob of sequence oiz?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**2 - 6*k - 3. Let l be t(-3). Calculate the highest common factor of l and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**2 - 8*k + 10. What is s(9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 402.5752 days?\nAnswer: 9661.8048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17*-4.02328.\nAnswer: 68.39576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -55251 divided by -1\nAnswer: 55251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) 0.03  (b) 0.07  (c) 0.4  (d) -0.5  (e) -0.0098\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-63)\/(-6)*(-4)\/6. Let q = i - -61. Suppose -4*b = -3*u + 12 + q, 4*u - 87 = 5*b. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*q**5 + 10648*q**4 - 4677036*q**3 - 14127032*q**2 - 42640*q + 18836064 = 0. Calculate q.\nAnswer: -2, 1, 559, 2106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 138099 and 162513.\nAnswer: 575458533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 14986493 to the power of 1\/2, to the nearest integer?\nAnswer: 3871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 235 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 172 - 3 - 0 - 4. What is the greatest common factor of a and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**3 - 10*x**2 + 10*x - 1. Let y(d) = d**2 - 1. What is the lowest common multiple of m(-11) and y(2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)*-3*-1 - sqrt(77))\/sqrt(11) - -1*(sqrt(35)\/sqrt(5)*4)**2.\nAnswer: 2*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k. Determine x(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 47699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-670)\/201)\/(4\/(-56)*5)?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 = 1\/80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a\/(a\/(a\/a**(-8)*a))))\/(a*a\/a**(4\/7)) assuming a is positive.\nAnswer: a**(-73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 1024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -34*f - 4. Suppose -14 = 22*d - 28*d + 100. Let w(j) = -171*j - 19. Calculate d*a(r) - 4*w(r).\nAnswer: 38*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -236 - -226. Let d(y) = y**3 + 12*y**2 - 7*y + 15. Is d(c) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(-1)*(-1 - -1). Suppose 3*z = w + 7 + 28, 0 = 3*z - 2*w - 34. Suppose -h + 4*h - 44 = -2*f, s = 3*h - z. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000175388 to seven dps.\nAnswer: 0.0000175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1402 + 1397. What is the closest to 2\/5 in 6, c, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 - -1.8. Let v = 645 + -379. Let k = v - 265.8. Put g, 4, k in decreasing order.\nAnswer: 4, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 84.79 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.3 - -1. Let j = 3 - 3.1. Let w = j - p. Which is the second biggest value?  (a) -4  (b) w  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.4 and 5095560.\nAnswer: 7133784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**3 - 17*b**2 - 17*b + 40. Suppose -2*k + 3*n = 41, n + 91 - 30 = -4*k. Give q(k).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -908737*b**4 + b**2 - 46521*b + 1?\nAnswer: -21809688*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.020981 rounded to four dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -4*z**2 - 9*z + 9. Let j be p(7). Let r be j\/(2\/(-8*32)). What is r rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o**2 + 6*o**2 - 5*o**2)*(-2*o + 0*o + 3*o) + (2*o - 5*o + o)*(2*o**2 + o**2 - 11*o**2).\nAnswer: 18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -27 (base 12) to base 14\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, w: 1, e: 2}. What is prob of picking 1 e and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13155 + 223637\/17. Find k, given that -14\/17*k + l*k**3 - 8\/17 - 4\/17*k**2 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.68, 1, -0.4, -126, -0.06?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3682*s + 26 + 17 + 12 - 55.\nAnswer: 3682*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1316332.\nAnswer: 2, 329083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 + 18. Suppose -o + c + y = 0, -3*o = c - 0*c - 41. 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: Collect the terms in 274*v**2 - 441*v**2 - 75*v**3 + 170*v**2.\nAnswer: -75*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21 is divided by (2\/(-6))\/((-9)\/54).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0\/((-4)\/(-4 + 8)). Does 13 divide d + (-2)\/(-3) + (-1864)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 3*v + 6 = -s, 0 = -2*s - v + 9. Let i be (1 - 64)*1\/(-3). Is (s\/21 - 90\/i) + 165 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 823799069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1c - c05d1?\nAnswer: -c05ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 79 - 55. Solve 0 = 4*a - 2*m + h, 2*m - 42 + 13 = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the first derivative of -y**3\/3 + y**2\/2 + 2. Suppose 127*d - 124*d = 3*z + 9, 3*z = 2*d - 8. Let q(h) = 3*h. What is d*q(u) - 2*r(u)?\nAnswer: 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1564645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 441 - ((-19)\/(-5) + (-10)\/(-50)). Which is smaller: 438 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 240760183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 2*f. Let y(h) = 192*h**2. Calculate y(t(w)).\nAnswer: 768*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81*i + 2497 = -158693. What is the greatest common factor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5396, -5386, -5362, -5318, -5248?\nAnswer: -5146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 65, 198, 439, 794, 1269, 1870, 2603?\nAnswer: 3474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 897833726 is divided by 704?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.399995 + 1.4. What is o rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -2*p. Let r(u) = u + 1. Let t(a) = a**3 - 6*a**2 + 2*a - 2. Let l be t(6). Let k(g) = -g**2 + 5*g + 5. Let q(y) = l*r(y) - 2*k(y). Determine q(v(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 28 (base 12) to base 8\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (o**2 + o**2 - 3*o**2)*(1 + 1 - 4) + 3*o**2 + 3*o**2 - 4*o**2 - 407*o**2 + 761*o**2 + 192*o**2 to the form x*o + k + i*o**2 and give i.\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 21476555\/264 - 81351. Calculate the common denominator of f and -1\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 300866639 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2167373.118271013 - -2168675.11827. Let m = 1302 - j. What is m rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of n**4*u**2 + n**4 + 9*n*u**3 - u**3 + 8 wrt n?\nAnswer: 4*n**3*u**2 + 4*n**3 + 9*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, -1, -0.2, -0.2554 in increasing order.\nAnswer: -1, -1\/2, -0.2554, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 14769, -3, 19, 5, -277 in descending order.\nAnswer: 14769, 19, 5, -3, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + u = -166, d - 42 = -0*u + 3*u. Suppose -2*g = -0*x + 3*x - 64, -2*g + 4*x = -92. Calculate the greatest common divisor of d and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 507*z - 2173*z + 19875 + 38435 = 0 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -26*h + 31. Let s(b) = -b**3 + 9*b**2 + 8*b + 12. Let d be s(10). Is 18 a factor of x(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 20 = 0, 23*v - v + 273 - 146 = a for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 4*o = 8, o + o = -m + 5. Let c be (8\/(-16))\/(1 - (-13)\/(-4)). Which is bigger: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4b + 37baa2?\nAnswer: 37baed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 7255 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100 + -10100?\nAnswer: -10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -104*x + 5*x**4 - x**2 + 56*x**3 + 101*x - 5*x**4 + 2*x**4 to the form b*x**4 + o*x**2 + u + y*x**3 + w*x and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the first derivative of g**2\/2 - 1. Let s(f) = -f**3 + 6*f**2 + 7*f + 8. Let w be s(7). Let v(i) = -w + 2*i + 8. Calculate v(q(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 + 23*c**2 - 27*c - 18. What is t(22)?\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -130 - 3.6.\nAnswer: -133.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -c**4 - 100584*c**3 + 603555*c**2 + 1508858*c + 804720 = 0. Calculate c.\nAnswer: -100590, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 2*j**2 - j + 9. Calculate y(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2389424 or -2389426?\nAnswer: -2389426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 + -2)*(-2)\/6. Which is greater: 3\/16 or w?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and 53880.\nAnswer: 107760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 12, -2.\nAnswer: -2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 + 21\/15)*-245 + -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.01 and 0.000187.\nAnswer: -0.00000187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 7, o: 1, d: 4, l: 1, z: 3, v: 4}. What is prob of sequence dd?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17394 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**6)**(3\/4))**(-3\/20) assuming s is positive.\nAnswer: s**(9\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**3 - 9*v**2 - 10*v + 15. Let m be c(10). Suppose 0 = 4*a - m - 9. Let s be 168\/(-7)*(-3)\/4. Calculate the greatest common factor of a and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 212056621 + 5?\nAnswer: 212056626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3382 is divided by 417?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -23*g**4 + 813*g**2 + 425*g - 72?\nAnswer: -276*g**2 + 1626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11648 + -11648.17665. What is h rounded to two decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.98392 grams in milligrams?\nAnswer: 31983.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 1. Let l(j) = 9*j + 5. Suppose -427*q = -540*q + 339. What is q*x(u) - l(u)?\nAnswer: -9*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4*g*i**2*z**2 + g*i**2*z - 23*g*i**2 + 10*g*i + 196*g*z + g + 2*i**2 wrt z.\nAnswer: 8*g*i**2*z + g*i**2 + 196*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19477, 37831, 56185, 74539, 92893, 111247?\nAnswer: 129601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 7 = -1. Let w(a) = 3*a**2 + 1. Let g be w(n). Which is greater: g or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -4, -8, 2, 30, 10, -63 in increasing order.\nAnswer: -63, -8, -4, 1, 2, 10, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -412*t = -533*t - 2541 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*r - 25 + 70. Solve 4*s + r = 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -48240 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-220)\/33*(-2)\/(-8)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*z - 6 = -13*z. Find the third derivative of -6*j**3 - 2*j**3 + 5*j**2 - z*j**3 wrt j.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1767 - -1754) + ((8 - 4) + -6 - 27)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2*((-18)\/(-6))\/(-1). Calculate the lowest common multiple of 2 and (-4)\/r*1035\/(-10).\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 7:33 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 11, 30, 77, 164, 303, 506?\n\"Answer: 2*g**3 + 2*g**2 - g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11*g**2*v**5 - 3*g**2 - 12*g*v**2 + 4*g*v - 84*v**5 - v**2 wrt v.\nAnswer: -660*g**2*v**2 - 5040*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**2 - 24*y + 57. Give p(-25).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2820\/6580*(-7)\/(-15).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -92 - -38. What is f rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11364098?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - o + 4*o - 18 = 0, o - 8 = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 126439394437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -125382, -125407, -125426, -125439, -125446, -125447, -125442?\n\"Answer: 3*u**2 - 34*u - 125351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 7, l: 1, d: 5, q: 1}. Give prob of picking 2 d and 1 l.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -56, 1\/8, 0.2?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 5) + (5 - (-12 - -5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 41*s - 23. Let l(f) = 47*f - 28. Give -6*c(y) + 5*l(y).\nAnswer: -11*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2867*i**3 - 154 + 2882*i**3 + 307 - 153.\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 - -2 - (-4)\/32. What is the closest to 1 in 2\/15, g, -3\/4, -2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -101958399 to the nearest 1000000.\nAnswer: -102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 - 1. Let a = -361 - -356. Let t = -5 - -3. Sort a, t, v in increasing order.\nAnswer: a, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1090737.\nAnswer: 3, 17, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9240061, -36960283, -83160647, -147841147, -231001777, -332642531?\nAnswer: -452763403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -541*a + 542*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**2 + 3*k - 8. Let t be d(21). Let y = -2691\/7 - t. Find the common denominator of (17\/(-8))\/((-2)\/(-20)) and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 10*o + 14. Let h(z) = z + 1. Let k be 4*(-4)\/8 - (0 - 1). Determine k*t(p) + 12*h(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 145975 and 3325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((v**(-2\/5)*v)**(-24))**(-40))**34)**(2\/37) assuming v is positive.\nAnswer: v**(39168\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 1861, 0.8, -3, 2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -311252*a**2*f**2 - 18*f**2 + 4366*f + 1 wrt a?\nAnswer: -622504*a*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 11  (b) -3\/7  (c) 403  (d) -2\/73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -34 - -34. Suppose u = -2*g + x + 2*x + 104, -4*g + 2*x = -216. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6162971?\nAnswer: 1489, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -2032 less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2393 in -2\/9, 1, 0.1, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 + 3. Suppose 5*z + 13 = d, -5*z - 22 = 3*d - 7*d. Let n = -3 - z. Are i and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -330113 times 199?\nAnswer: -65692487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5554 - 3770. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (14 + 3 + (-8 - 1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 386280 and 2152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the second derivative of 48*u - 10\/9*u**3 + 0 + 3*u**2 + 1\/18*u**4. Factor t(v).\nAnswer: 2*(v - 9)*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 298295797?\nAnswer: 298295797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -10*w + 41. Let y(z) = -2. Let r(f) = 7. Let u(l) = r(l) + 3*y(l). Let s(o) = q(o) + 2*u(o). Let p be s(4). Put 4, p, 0 in descending order.\nAnswer: 4, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 52.5902l to millilitres.\nAnswer: 52590.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1959.31 milligrams in tonnes?\nAnswer: 0.00000195931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 37 + -32. Let f = 3.7 - 4.7. What is the second biggest value in s, 2\/11, f, -0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r - b - 4, -3*r = 5*b - 9 - 5. Let t(p) = -p**3 - p**2 - 2*p - 5. Let o be t(r). Solve -o = q - 0*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 + 5 - 3) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17 + -6. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 10*n**3 - 5*n**2 + 11*n. Let p(z) = -3*z**3 + 2*z**2 - 4*z. Calculate 11*p(m) + 4*w(m).\nAnswer: 7*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-30*z + 19*z - 60*z + (-3*z + 3*z + z)*(5 - 4 - 4))*(z**4 + 2*z**3 - 2*z**3).\nAnswer: -74*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7 and 12344700.\nAnswer: 86412900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6305101 is divided by 2101687?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*n**4\/4 + 8793*n**3\/4 - 8799*n**2\/2 = 0. What is n?\nAnswer: -2933, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 289 is divided by 74?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -116*f**3*t**2 - 173*f**3*t + f**2*t**2 - 510*f*t + 2*t**2 - 3 wrt f?\nAnswer: -696*t**2 - 1038*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes after 11:27 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times -0.1781?\nAnswer: -0.5343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15831\/31666 + 1\/15833. Find h such that -v*h**4 - 3\/2*h + 5\/2*h**2 - 1\/2*h**3 + 0 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 + -1. Let g = 1 + c. Let l be (-1)\/(3\/200991) - g. Round l to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the second derivative of 2\/3*z**3 + 2*z - 2*z**2 + 0 - 1\/60*z**5 + 7\/24*z**4. Let h(i) be the first derivative of s(i). What is h(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7\/4 - (-2)\/8. Let r be (2 + u + -3)*5. Suppose 8 = r*t - 32. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 14 - -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1624500 divided by -8550\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 7131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -936.06 rounded to the nearest 10?\nAnswer: -940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 72578239 to the power of 1\/3, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -99 - -190. Suppose 2*q = -r - 15. Calculate the remainder when 53 is divided by (-33)\/(-44) + q\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 - 18*z**2 - 17*z + 48. Let t be w(-17). Solve 47*o - 35*o + t = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -25\/4 + 13\/2. Suppose 0 = 5*x + 3*x - 16. Let a be (-500)\/840 + x\/12. What is the smallest value in -0.4, b, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the second derivative of a**4\/2 - 2*a**3\/3 - 8*a. What is the second derivative of k(c) wrt c?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 545140241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 209954\/15 - 14000. What is the smallest value in x, -2\/13, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -s**2*z**2 + 52*s**2*z + 3134*s**2 + 2423*s*z**2 - 7*z**2 wrt z?\nAnswer: -2*s**2 + 4846*s - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 5*f**2 + 188*f + 116. Calculate l(-37).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-45)\/180 + 25\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.1051 - 0.1451. Let z = 0.5 - 0. What is the second smallest value in -0.5, w, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes after 5:48 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2759 + -2607. Calculate the remainder when i is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 180358364 is divided by 647.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -426.1 - -408. Let m = -4.8 - -25.8. Let w = m + i. What is w rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 27 + 103 = 0. Suppose -v = 2, 3*n + 2*v + 0 = -l. Let y(i) = -2*i**2 + 9*i + 4. Let s(m) = -m**2 + m - 1. Let k(x) = 3*s(x) - y(x). What is k(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6392.908t in micrograms?\nAnswer: 6392908000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6 - 3)*(4\/(-2))\/2. Let w be 2\/6*(12*n)\/(-3). Suppose 12 = -4*u, -1114 = -2*d - w*u - 0*u. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 61 + 16 = 0. Let w = -17 - i. Let r be w + -3*17\/(-3). What is the greatest common divisor of 6 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2563 times 18\nAnswer: -4.6134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 + 826. Let m = -739.4 + c. Round m to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 1. Let l(p) be the first derivative of p**2\/2 + 149. Calculate 2*d(a) + l(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-24)\/(-20) + -3.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-17)\/((-2295)\/(-10)))\/((-405)\/(-7290))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1153  (b) 0.4  (c) -107.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*x**3 - 7*x + 5*x + 2*x.\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10.3 - 91104801035.\nAnswer: -91104801045.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:02 AM and 2:35 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 84 - -86?\nAnswer: 14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.4  (b) -9\/89  (c) 0  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 5*s - 26 = 0, -s + 26 = 3*v - 12. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 5*c**2 + 6*c + 3. Suppose -d = -0 + 1. Let l(s) = s**2 - s - 1. Let z(f) = d*t(f) - 6*l(f). Differentiate z(k) wrt k.\nAnswer: -22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17 - 20.4. Let n = g + -5.1. Round n to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/2)\/((-216)\/96)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 29500*b**2 + 18647*b**2 + 18737*b**2 + 4495*b**2 + (-3*b + b + 3*b)*(-2*b - 3 + 3) to the form x*b**2 + v*b + p and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in 7, 119, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 + 2)*(4 - -2). Suppose -2*g - g = -u. Let x = 4 - g. Solve -3 = x*d + 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7.92 + 0.03. Let w = -1794 - -1792.89. Let n = w + u. Sort n, 0.2, -2\/5, 6\/5 in descending order.\nAnswer: 6\/5, 0.2, -2\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 2 + 10*n**4 + (0 + 0 - n**2)*(n + n + 0*n)*(-2*n + 3 - 3) - 10 + 10 - 8*n**4 as k*n**4 + x*n**3 + c + b*n + j*n**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-5)*i*i**(1\/6))\/(i**(-1\/2))**43 assuming i is positive.\nAnswer: i**(53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5.234 - -5.334. Sort q, -48, -0.3, 0.2.\nAnswer: -48, -0.3, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.4225103 rounded to two dps?\nAnswer: -1.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 - 2*c**2 - 3*c + 4. Let t be b(3). Suppose -t*s - s = -10. Solve 3*y = -s*y - 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k and 1 m when four letters picked without replacement from {m: 4, k: 6}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*(j\/j**(-1\/8))\/j*j**(-4\/7))**(-11) assuming j is positive.\nAnswer: j**(-341\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (((-100)\/48 + 2)*-9)\/((-156)\/96)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v**3 - 322*v**2 + 6736*v - 21920 = 0. What is v?\nAnswer: 4, 20, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*q = 55*q + 8. Suppose 0 = d + 2*n - 6, -6*d + 4*n - 4 = -4*d. Let a(w) = w + d*w**2 + 4*w - 1 - 2*w + 2. Determine a(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -323, -787, -1407, -2183, -3115, -4203, -5447?\nAnswer: -6847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.282 + -0.2694. Let f = -0.013473 + x. Round f to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes after 11:49 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3303661939 divided by -4?\nAnswer: -3303661939\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -7 + 1 + 5 + 13*t + 5. Let w(s) = -6*s - 2. Let j(b) be the first derivative of b**2\/2 + 16*b - 2. Let h be j(-7). What is h*w(m) + 4*x(m)?\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 115*l - 123*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -343*w + 3146 + 23608 = 0. Solve 18*d + 132 - w = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -316866 and 543913503?\nAnswer: 544230369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-33)\/l)**(-2)*l**(-40)\/l*l*l**(1\/3))**(11\/9) assuming l is positive.\nAnswer: l**(935\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1799\/3590 + 2\/1795. What is the third smallest value in 5, q, -122?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6, 26, -3835 in descending order.\nAnswer: 26, -1\/6, -3835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -803.607 to the nearest 10.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-2)\/(-9) + (-1976)\/(-14625))*3\/16 and -89\/200.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -11*g + 1671, -4*g + 5*u - 276 = -6*g. Does 51 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -9*n**5\/4 + 24*n**4 - 6*n**3 - 96*n**2 + 60*n = 0.\nAnswer: -2, 0, 2\/3, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + -10 + 2 + 17 + 92 + -31.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-1380)\/(-115)*2\/(-16)*4\/(-14)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7059 + 7032. Suppose 56 = -s - s. Is j smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18 and 617149791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1486809286.\nAnswer: 2, 23, 2837, 11393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 65 + -1178?\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2230221 (base 5) to base 16.\nAnswer: -9a0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.73 + 5.57. Round d to 1 decimal place.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(-12))\/s*s\/s**(-5\/3)*s**(-6)*s*s\/s**(-1) assuming s is positive.\nAnswer: s**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - -1 - 1 - -6 - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -4*h + 3*h**2 + 4*h - 15*h - 2*h**2 + 23. Let p be m(14). Is 27 a factor of p\/(-2)*60\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express k - 3*k - k + (-1 + 1 + 2)*(0*k + 0*k + 2*k) as s + n*k and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -3*g. Let r(p) = 2*p + 7. Let a(j) be the first derivative of -1\/2*j**2 - 3*j + 1. Let m(s) = 14*a(s) + 6*r(s). Determine m(v(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z - 5*d - 275, 0*z = 3*z - d - 797. List the prime factors of z.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54957 is divided by 152.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 3*z + 974 = 948, 4*z = -49*j + 74 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -2*y + 1. Let i(r) = r**3 - 2*r**2 + r - 4. Let h be i(3). Suppose -2*w = w + 2*t + 16, 4*w - 4*t + h = 0. What is the units digit of g(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3797931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -49 - -54. Suppose 0*j - j + 35 = 0. Calculate the remainder when j is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.01 * -76264.44.\nAnswer: 762.6444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 59, 45, 74?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1573\/1252 + -2\/313. Let w = 0.176 + -0.076. What is the third smallest value in f, 5, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*12\/4*(-7)\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*v + 445 - 352 - 93.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 + 14*w**2 - 50*w + 66. Calculate the least common multiple of 1180 and g(8).\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes after 2:35 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**2 - 13*g - 12. Let w be f(14). Suppose 12 = -k + 3*q, -17 = -3*q - w. Solve -2*r = k*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1265, 1257, 1247, 1235, 1221?\nAnswer: 1205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 + 5*v**2 + 351*v + 703. Determine m(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8274 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 48915 divided by 9783?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-seven fifths of a kilogram in grams?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q + 142 + 82 = 0. Let r(o) = -o**3 + 4*o**2 - 2*o + 8. Let z be r(4). Which is smaller: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 39216 - 21161. What are the prime factors of a?\nAnswer: 5, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -f - 8*f - 83 - 4 - 49.\nAnswer: -9*f - 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:45 AM and 5:22 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -307\/164559 or 0?\nAnswer: -307\/164559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 730 + -805 + (-6 - -20)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -278*o**4 - 250*o**2 - 6*o - 6. Let i(v) = 277*v**4 + 250*v**2 + 8*v + 8. Let p(j) = 3*i(j) + 4*t(j). What is the third derivative of p(x) wrt x?\nAnswer: -6744*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 108*o. Let v(h) = -2*h**2 - 3*h - 3. Let m(x) = x**2 + x + 1. Let k(l) = 3*m(l) + v(l). Calculate k(i(s)).\nAnswer: 11664*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 664, -2.4, -5 in decreasing order.\nAnswer: 664, -2.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -16*b**3 - 41*b**2 - 33*b + 33. Let v(n) = -19*n**3 - 42*n**2 - 31*n + 32. Let c(f) = -4*a(f) + 3*v(f). Let c(j) = 0. Calculate j.\nAnswer: -3, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10916790 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 6 - 3 = 0. Let t(q) = -o*q + 7*q - 4*q + 6*q**2. Let f(b) be the second derivative of b**3\/6 - 2*b. Determine t(f(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 - b + 5. Let i(l) = -l + 1. Let p(t) = -3*t**2 + 5*t - 13. Let o(c) = 3*i(c) + p(c). Let k(d) = -5*f(d) - 2*o(d). Is k(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.27 - 0.34. Let o = 2.93 - t. Suppose -3*u + v + 19 = 5*v, 0 = 3*u - 4*v + 13. What is the biggest value in u, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 38794 and 36414?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(832) + 3 - -2*sqrt(832)*5)**2.\nAnswer: 880*sqrt(13) + 100697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 379912 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8 + 0 - 6)*(-5064 - 314*m + 5064 + 1193*m) to r*m + j and give r.\nAnswer: 1758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -681199*d**2 - 239937?\nAnswer: -1362398*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 104 - -21. Suppose 40 = -3*v - z. What is the tens digit of (-1034)\/v + 2\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10002 + 1?\nAnswer: 10003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: What is 13\/(117\/72) + 76\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.139 - -6.561. Let y = z + -47.7. Let f = y + 40.99999876. What is f rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/1406 and 87\/14?\nAnswer: 9842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 + -3 + (-6)\/(-1). Suppose 3*y + z*y + 2*w + 17 = 0, -12 = 5*y - 3*w. Let t = y - -2. Let c(x) = -7*x + 1. What is c(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -2 + 13*q - 1 + 7*q. Is o(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12*t*u**3 + t*u**2 + 271*t*u + t - 42*u**3 + u**2 - 13*u - 2 wrt u?\nAnswer: -72*t*u + 2*t - 252*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 53\/4 in -0.172, -60, -4?\nAnswer: -0.172","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 237*w - 22221. Calculate y(101).\nAnswer: 1716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 46189 and 9139.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -60, -103, -182, -303, -472, -695, -978?\n\"Answer: -v**3 - 12*v**2 - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1718 - 4?\nAnswer: -1722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rmlemmeqlemm. What is prob of picking 1 e, 2 l, and 1 q?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 176.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/5, -0.2, -4, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-6))\/(4\/8) - 698\/(-1047)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 812941 and 827.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 40 and 29380?\nAnswer: 58760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00076383736 to six dps.\nAnswer: -0.000764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.073 + -0.027. Let s = 2.19 + g. Let n = 5.91 + s. Which is smaller: n or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 55 = 31. What is the hundreds digit of (0 + 94\/p)\/(1\/(-51))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 827*b**3 + 682*b**3 - 5*b + 5*b.\nAnswer: 1509*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 + 32 = 8*v. Let k(s) = -7*s. Let f(r) = 8*r. Give v*k(u) + 6*f(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 10*h - 10. Let w be i(8). Calculate the greatest common factor of w and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 596217 and 1589912.\nAnswer: 4769736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/11 in -38, -2, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89*i = -42*i - 81122. List the prime factors of i.\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1832525551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13939 is divided by 323.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.42 - 0.08. What is the smallest value in -3\/10, 0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.2 * 280775.72\nAnswer: 336930.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -215 - 120?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -5694*0.4\nAnswer: -2277.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0021653833208 rounded to 5 dps?\nAnswer: -0.00217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10366788 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3909\/(-6) - (-30)\/12. What is the tens digit of (-587227)\/f + (-2)\/(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*t, 0 = -3*p - p - 2*t + 11456. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5482602 divided by 23?\nAnswer: -238374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w**5 + 2*w**5 + w**5 + (-3*w**3 + w**3 + 0*w**3)*(-w**2 + 4 - 4) + w**5 + 0*w**5 + 0*w**5 - 6*w**5 + 3*w**5 + 4*w**5 - 4*w**2 + 4*w**2 - w**5.\nAnswer: 5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of -4*c**2 - 7 - 1\/120*c**5 + 1\/12*c**3 + 0*c + 0*c**4. Let b(y) be the second derivative of o(y). Find d, given that b(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2301 (base 7) to base 10\nAnswer: -834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 17 - 10 = 0. Let v be ((-1)\/(-3))\/(3\/x). Let r = -2829\/11332 + -1\/2833. Which is bigger: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24870 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -220906 or -220905?\nAnswer: -220906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 - 24*v**2 + v - 21. Let r be l(24). Suppose -3*s + 5*u = -128, 3*s - 2*s - r*u = 36. List the prime factors of s.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8426728 micrometers in kilometers?\nAnswer: 0.0000000008426728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -598*u**5 + u + 4241?\nAnswer: -11960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 124*h - 22950 = -262*h - 355*h + 66*h for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1866880 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - -1) + -6 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m - 8*p + 10*p + 21308, 5*m - p - 53270 = 0. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000209 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -16984 - -2?\nAnswer: -16982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1281, -1267, -1245, -1215?\n\"Answer: 4*p**2 + 2*p - 1287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + -b651?\nAnswer: -b650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -1 + 10 - c - 6. Is 13 a factor of x(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes before 4:17 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -711 - -1868. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6624*l = -803*l - 74*l + 483646 + 240476 for l.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 4:53 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -378*h**3 + 324*h**3 + 55*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 - 2. Let j = z + 6. Suppose 4 = 4*m, 5*m = 3*s - 0*s - 10. Solve s*q + j = -17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x**2 - 6016*x - 59760 = 0. Calculate x.\nAnswer: -1494, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 276*-18\nAnswer: -4968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zrrfzurrroorurm. What is prob of sequence zor?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -6677031.2 less than -0.3?\nAnswer: 6677030.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**2 - 32*j + 65. Calculate m(30).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 28*a**2 - 69*a - 20. Let q be b(3). Solve 5*o = 5*f - q, 0 = -5*o - 5*f - 17 + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, -1, 4 in increasing order.\nAnswer: -1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15.9 + -16. Let j = -0.3 - -0.2. Let z = 0 - j. Which is the closest to z?  (a) 0.1  (b) v  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -3*m**3 + 2*m**2 + 5. Let y(u) = 10*u**3 - 6*u**2 - 16. Let w(d) = -7*g(d) - 2*y(d). Is w(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 465 = -451 + 897 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33257*t - 52855*t + 13424*t - 47751*t.\nAnswer: -120439*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 10, 25 in increasing order.\nAnswer: 4, 10, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from baaabagg. What is prob of sequence bb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -3*k - 78. Let d be g(-36). Suppose -6*c + 12*c = d. Let s(x) = -x**2 + 10*x - 9. Let q be s(9). Solve j + q = c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -29*x**5 - 57*x**4 - 116*x**3 + 166*x - 12. Let y(b) = 265*b**5 + 515*b**4 + 1045*b**3 - 1495*b + 110. Let o(i) = -55*s(i) - 6*y(i). Factor o(v).\nAnswer: 5*v*(v - 1)*(v + 2)*(v + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from {x: 2, h: 1, e: 1, s: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 496204 - 20*z + 5*z**2 - 4*z**2 - 496210. Determine k(14).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2\/5, -156 in descending order.\nAnswer: -2\/5, -3, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - g = -3*r + 8395, 4*r = g + 6717. Suppose -837 - r = -5*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 35*f**6 - 2*f**5 + 2*f**2 wrt f?\nAnswer: 4200*f**3 - 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18 + -17. Is 20 a factor of o*200\/15*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -546816613 divided by 78116659.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1368620712.\nAnswer: 2, 3, 704023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) -1  (c) 4  (d) 1.4  (e) 9  (f) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 0*g = -4*m + 65, 4*m - 75 = -3*g. Let d = m - 10. Solve -4*n - 2*w + 20 = 3*w, 5*w = -d*n + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4797728 divided by -16\nAnswer: -299858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 - -aa7?\nAnswer: aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2678201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6.691 + 6.61697. Let g = 0.073 + s. Round g to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -137 + 400. What is the remainder when y is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**3 + 9*x**2 + 6*x. Let i(n) = -3*n**3 - n**2. Let y be i(-1). Suppose y*l = 3*a + 22, 3*a = -6*l + l - 8. List the prime factors of t(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -189ccb - 4?\nAnswer: -18a002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -17*h + 1. Let s be j(-1). Let o = s - 7. Let b(g) = -g**3 + 4*g**2 - g. What is the remainder when o is divided by b(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**2 - 6*p**2 + 5*p**2 + p**2. Let n(i) = 27*i. What is n(d(a))?\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -135721 - -135724. Factor 38\/9*x**2 - 70\/9*x - 2\/9*x**h + 34\/9.\nAnswer: -2*(x - 17)*(x - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -5*c + 3*q, 0 = -c - q - 1 + 4. Find the third derivative of -8*g**2 + 10*g**c + 8*g**3 + 5*g**2 wrt g.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence up when two letters picked without replacement from spuspsspsssjssjjjsss?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -6*j + 2*j + 5*j. Let v be n(4). Suppose -5*y - a + 40 = v*a, -2*y + 31 = -3*a. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1001110110 (base 2) to base 11.\nAnswer: -523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 220.4 + -203. Let g = -20 + y. Let q = -0.4 + g. Which is the nearest to 1\/2?  (a) -0.4  (b) -1  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 164978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/5  (b) -0.003  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 12*r = -221. Suppose n - r + 8 = 0. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 - -1583?\nAnswer: 1586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 52 - 10*w - 52 + (12 + 0 + 1)*(-1 + 2 + 1)*(6 - 3 + 8*w - 4*w) to c*w + a and give c.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 2*c + 6, 3448*h + 2 = 3453*h + 2*c. Sort 0, -1, h, 34, -7 in decreasing order.\nAnswer: 34, h, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v**(2\/33)\/v))\/v)**(-37) assuming v is positive.\nAnswer: v**(-1147\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 532, 1070, 1608, 2146, 2684, 3222?\n\"Answer: 538*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3020120210 (base 4) to base 3.\nAnswer: -1112200212222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -249, -247, -245, -243, -241?\n\"Answer: 2*c - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**3 + 5*c**2 + 11*c + 20. Let q be g(7). Sort 11, -6, q in decreasing order.\nAnswer: 11, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-three sixths of a hour in seconds?\nAnswer: 13800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*j + 2*y - 2, 5*j = 3*y + 15. What is the second derivative of -3*w + 11*w**5 + j*w - 36*w**5 - 14*w wrt w?\nAnswer: -500*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 892243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(5 - (-6)\/(-2)). Solve 0 = s - d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express f + 0*f + 0*f + (-1819 + 9231 + 2438)*(2*f + 1 - 1) as u*f + v and give u.\nAnswer: 19701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -107.9 - -98.9. Let y = -4 - 0. Sort v, 1, y in decreasing order.\nAnswer: 1, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 3*q - 15 = 0, 9 + 11 = 4*p + 4*q. Suppose p = -28*t - 306 + 1062. What is the greatest common divisor of 297 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8900 is divided by 2944.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 808669338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 4, b: 9, s: 1}. What is prob of picking 3 b and 1 s?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r + p - 2 + 1, -4*r - p = -1. Suppose -15*c + 11*c = -7*c. Suppose 4*y + r*y = c. Solve -4*m + y = u + 13, 3*m = -9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**2 + 6*i + 5. Let a = 8 + 0. Let h be a\/(-16) - (-11)\/2. Let r be n(h). Calculate the greatest common factor of 4 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -24414 - 4005?\nAnswer: -31422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -33 + 11. Let b be k\/(-12) - (-10)\/60. Solve b*g + 2*g + 8 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**2 - 4*u - 8. Suppose -4 = -4*g + 4. Suppose 0*s - 12 = -g*s. Is v(s) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -5, -255.23, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3530771308 to the power of 1\/4, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -50934, -1\/18, -2, -3\/7, 0.4?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 n when three letters picked without replacement from pnpnnppnpppnnnpppnnn.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, -28651, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - v - 2 + 7 = 0, -3*b + 3*v + 9 = 0. Solve -4*x - b = 2*h, 0 = -0*x + x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/36211547 and -143\/297222.\nAnswer: 217269282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -0.1, -4, 173, -6\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -11*g**2 - 5 - 4*g + 3*g + 17*g**2 + 2*g**3 - 3*g. Let r(b) = 2*b**3 + 5*b**2 - 3*b - 4. Determine -4*r(w) + 3*t(w).\nAnswer: -2*w**3 - 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 11, f: 9}. Give prob of picking 3 f.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 25.96058 millilitres in litres?\nAnswer: 0.02596058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 + 2. Let d be 2 + (-1)\/(0 - 1). Suppose x = -3*y + 1 + 2, 9 = -5*x - d*y. Calculate v(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 3*s + 7. Let g be a(2). Let x = 15 + g. Calculate the highest common factor of x and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 + 1 - (11 - 13)) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -9, -25, -47, -75, -109?\n\"Answer: -3*l**2 - 7*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -6772, -6774, -6776?\n\"Answer: -2*j - 6770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = -3*y - 27, 0*l - 4*l - y = 21 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -5 + 4 + -4 - 2. Let b(g) = -g**2 - 8*g + 6. Let k be b(s). What is the common denominator of (-258)\/28 - (-39)\/k and 71\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes before 9:01 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -275705, -1102824, -2481355, -4411298, -6892653, -9925420, -13509599?\nAnswer: -17645190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -86*x - 1. Suppose 12*k - 50 - 466 = 0. Calculate the remainder when i(-1) is divided by k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4703 = 5*f + 12*u - 9*u, u + 4 = 0. Is f a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 - 5*x - 185. What is the remainder when l(-20) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16829 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(297) + sqrt(297) + sqrt(297) + sqrt(297)*2*-2 + sqrt(297))\/sqrt(11))\/(-3*sqrt(9)*-4 + -6*sqrt(9)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -19*x**2. Let y(l) = 47*l**2 - 79. Let h(d) = 71*d**2 - 124. Let z(r) = 7*h(r) - 11*y(r). Give z(n(w)).\nAnswer: -7220*w**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the second derivative of -l**3\/6 - l**2 - l - 132. Let o(v) = -v. Give o(f) + s(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z - 4*z + 2*z. Let w be 13\/(-14) + ((-55)\/(-1155))\/(4\/(-6)). Let a(x) = -3*x - 1. Give w*a(v) - 6*b(v).\nAnswer: 9*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 - -5. Let t be 6\/b*9\/2. What is the highest common factor of t and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1991 is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -4*i - 20. Let w be (44\/i - -2)*(-1)\/7. Let l be -2 - -2 - 4\/(-22). What is the third biggest value in -4, l, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(1053) + sqrt(1053) + -1))**2 - -2*(0 + sqrt(208))**2) + -4.\nAnswer: -324*sqrt(13) + 38329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x + 8*f - 3*f + 29, 3*x + 5*f = -28. What are the prime factors of (x\/(-2) + 0)\/((-2)\/(-44))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b - 1. Let h(c) = 6*c + 5. Let k(g) = 2*h(g) + 11*i(g). Give k(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**2 + 3*y + 15. Let h be o(0). Suppose h*w = -16 + 106. Solve -2*i - w = -4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 - 50 = 11*i, -3*v - 5*i + 36 = 0. Solve 4*h = -5*n + 12, -h - v = -4*n - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ty when two letters picked without replacement from yytttyttytttsytttts?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 610873319.\nAnswer: 7, 87267617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -13*p + 52 - 6*p**2 + 7*p**2 - 8. What are the prime factors of f(10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -10 - 10. Suppose 0 = -f - 4*v + 6, -4*f + 2*v + 2 = -y. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*b + 20. Suppose 5*m + b - 23 = 0. Solve i + m = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 111312?\nAnswer: 2, 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 2 = -t. Let l(a) = 17*a + 2. Let p be l(t). What is the greatest common divisor of 19 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -125332845*v**5 - 31875*v**2 + v - 89 wrt v.\nAnswer: -7519970700*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 315*j - 635*j + 315*j + 90 = 0, 0 = m - j + 22 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 + -183982?\nAnswer: -183978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes after 1:19 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*b + 16 = 11*b - 23*b. Let m = 29 - 1. Calculate the greatest common divisor of m and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5795 or -5794?\nAnswer: -5795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 146*v + 476*v + 247*v - 49*v.\nAnswer: 820*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -6*x + 12. Let b be v(-9). Suppose 0 = -4*g + g + b. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 22764 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11573100 and 80640?\nAnswer: 740678400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*l - 156*l**4 - 1 + 1408*l**3 + l - 2815*l**3 + 1408*l**3 - 3*l**2 - 2*l to j*l**2 + q*l**4 + s*l**3 + f*l + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 165\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sr when two letters picked without replacement from rssr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4\/599 - -1186\/1797. Sort -4, 42, x.\nAnswer: -4, x, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -b - 60. Suppose 2 = -2*o + b. Is 9 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*o + 19*o = 7. Let l(d) = -5*d**2 + 4*d. Let r(y) = 9*y**2 - 7*y. Let z(f) = o*l(f) + 4*r(f). Let a(b) = 10*b. Calculate a(z(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2366790*u**5 + 2*u**2 + 12*u - 543.\nAnswer: 142007400*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 120 and 82515.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7337 - -800. Calculate the highest common factor of 237 and c.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4401 (base 6) to base 9.\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -391?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 + 6*r**2 + 7*r. Let x be c(7). Let o(a) = -23*a - 172. Let v be o(-8). Solve v = 4*w - x*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4 - 1)*(-4)\/(-10). Let p be ((0 - q) + 1)\/1. Suppose p*v + 0*v - 6 = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 4*l. Let w be 1\/3 + (-34)\/(-6). Let k be q(w). What is the greatest common divisor of k and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and -2 - 40\/(-2 + 0)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -17506*w**3 - 921*w**2 + 539835325.\nAnswer: -52518*w**2 - 1842*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q + 10. Let o be c(10). Suppose -5*a - r = -14, o = 3*r - 12 - 0. Is 3 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60023.735 rounded to the nearest 100?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express k**3 + 3*k - 6*k - 2 + 2*k**3 + 5*k - k**2 as x*k**2 + s*k**3 + p + h*k and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 + 1 - -2)\/(-2). What is the remainder when (-3 + r)\/(12\/(-222)) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -16\/143 and 51\/143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (10\/(-15))\/((-3)\/9). Suppose 1 = -2*t + 3*w, 2*t = -p*t + 5*w + 3. What is the remainder when 11 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5151 = 102*h - 4788 + 2901 for h.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qyv when three letters picked without replacement from {o: 1, v: 1, q: 1, s: 1, y: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11*p**3*z**2 - p**3*z - p**2*z**2 - 7*p*z**2 + 2*p*z - 10*z**2 wrt p?\nAnswer: -66*p*z**2 - 6*p*z - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 37, 80, 149, 256, 413, 632?\nAnswer: 925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 87152  (b) 51  (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(825) + sqrt(825)*1)\/sqrt(11) + sqrt(18)\/(6*sqrt(42)\/sqrt(7) + sqrt(6)).\nAnswer: 71*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2337 and 2000800.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand j + 5*j**2 + 7*j - 4*j + (-1 - 1 + 3)*(2*j**2 + 0*j + 0*j).\nAnswer: 7*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 10) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 229862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 366481398*t - 140670732 with respect to t.\nAnswer: 366481398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73 = 3*d + 41. Let z = d + 54. Suppose 2*c = x + z, 0*x + 7 = c - x. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(1918\/154 + -15)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**0)**39\/((j*j**(-2\/13))\/((j*j**(3\/5))\/j))*((j**(-2\/5)\/j)\/(j**(1\/4)*j))\/((j\/(j**(-1\/11)*j))\/j*j**(-2\/11)) assuming j is positive.\nAnswer: j**(-5163\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 246 + -244. Suppose -3*l + 136 = -203. Suppose -122 = -3*h + 5*x, l = n*h - 4*x + 31. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes before 10:41 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -64*i**2 + 33*i**2 + 23*i**2 + 36*i**2.\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/4 + (-3)\/(-4). Let g be (z\/1)\/((-1)\/(-5)). Let y = -17 - -12. Sort g, 2, y in decreasing order.\nAnswer: g, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 424?\nAnswer: -1696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 4, e: 6}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 585\/(-33)*(-8184)\/2232?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -217556\nAnswer: 1\/217556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-83*g + 23*g**2 + 83*g)*(-16*g**3 + 25*g**3 + 20*g**3) + 3*g**3 - 3*g**3 - 2*g**5.\nAnswer: 665*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 42*q*v**3 - 7*q*v**2 + 103*q wrt v.\nAnswer: 126*q*v**2 - 14*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -68958 or -68957?\nAnswer: -68957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1413015 (base 7) to base 14\nAnswer: 4c8b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 56864691.\nAnswer: 5\/56864691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(117) - 2*2*sqrt(117))*6)\/(sqrt(9)*1*1 - 6*sqrt(9)*1).\nAnswer: 18*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 72471818.\nAnswer: 2, 1783, 20323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 4059, 4247, 4559, 4995?\n\"Answer: 62*b**2 + 2*b + 3995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 divided by -43?\nAnswer: 28\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 110221100222 (base 3) to base 6\nAnswer: 5243042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(1300) + -1) - (-3 + (sqrt(78) + -3*((sqrt(78) - sqrt(78)*2) + sqrt(78)) + sqrt(78))\/sqrt(6))**2.\nAnswer: -66 + 62*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 569 and -4331.\nAnswer: -3762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(1\/9)\/h*h)**(-2\/39)\/(h*h*h*h**(-2\/29)*h*h*(h*h*h**(1\/9))\/h*h*h))**(-28) assuming h is positive.\nAnswer: h**(2293732\/10179)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.15 - 0.05. What is the biggest value in 0.5, -4, i, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(-4)\/(-5)*15\/(-78).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*v**3 + 152*v**3 + 69*v**3 + 953*v**2 - 953*v**2 + 55*v**3.\nAnswer: 253*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -0.4, -17, -268563, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 + 12. What is the least common multiple of 5 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3425 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 AM and 11:20 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*b**3 + 173*b**3 + 29*b**3.\nAnswer: 181*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1428\/(-30)*5\/(-2) and 10.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13742991 a multiple of 1907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -419302347 divided by 1\nAnswer: -419302347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 250*z**5\/3 + 228460*z**4\/3 + 164740958*z**3\/15 - 192447988*z**2\/15 + 27626312*z\/15 - 1062832\/15 = 0.\nAnswer: -734, -181, 2\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (48\/168)\/(24\/21)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 839 a factor of 1430460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tj when two letters picked without replacement from {j: 1, t: 2, k: 2, s: 8, p: 5}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 74 and 101047.\nAnswer: 202094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 31*q + 175*q**3 - 4156 + 181*q**3 + 38*q - 369*q**3 wrt q.\nAnswer: -39*q**2 + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(320)*-2 + 2*(-2*sqrt(320) + sqrt(320)))**2.\nAnswer: 320*sqrt(5) + 5145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -3*k. Let i(l) = 10*l - 2. Let d(f) = -448*f + 91. Let m(v) = 6*d(v) + 273*i(v). Determine m(b(t)).\nAnswer: -126*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.1721437g?\nAnswer: 172143700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 4*a - 34, 4*n + 0*a - 74 = -5*a. Calculate the least common multiple of 9 and n.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26672 divided by -156.\nAnswer: 6668\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/8 and 6 + (-16362)\/1320 - -7.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence epb when three letters picked without replacement from pebeebpee.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10172610?\nAnswer: 2, 3, 5, 7, 67, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 253175 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 464211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the second derivative of q**5\/20 + q**4\/2 + 2*q**3\/3 - q**2 + 4*q. Let u be c(-5). Let -v**2 + v + 2*v**2 - u*v**2 - 2 + 3*v**2 = 0. Calculate v.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 105 = -j, 0 = j - 1 - 2. Let k = -29 + c. Suppose 8*b - 7*b = -k. Let h(s) = s**2 + 6*s + 1. What is h(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -2*y**3 + y**2 - 5*y + 4. Let x(i) = i - 1. Suppose -4*p = -20, -4*r + 0*p + 4*p - 40 = 0. Calculate r*x(w) - t(w).\nAnswer: 2*w**3 - w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 170, 155, 128, 83, 14?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + p + 20752 = 0, -4*h + 2*p - 7*p + 16619 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -340290, -338771, -337252, -335733?\n\"Answer: 1519*f - 341809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 8*x - 3*x = -46530, 0 = -2*v + x + 18615. What are the prime factors of v?\nAnswer: 3, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 58*k**2 - 93*k + 704. What is the units digit of v(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10199 and 416514.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Expand t**4 + 0*t**4 + t**4 + 6*t**4 + 17*t**4 - 519*t**4 + (-2*t**2 + 3*t**2 + 0*t**2)*(t - t + t**2) - 4*t**4 - 2*t**3 + 2*t**3.\nAnswer: -497*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 637, 681, 679, 637, 561?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**3 + 9*o**2 - 5*o + 1. Let h = -98 + 106. Determine x(h).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 4*o - 456116, 3*x - 357391 = -2*o - 15294. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1848 + -1854. Which is greater: o or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4067 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -4*z**3 + 8*z**2 - 7. Let r(j) = j**3 - j**2 + 1. Suppose 0 = -4*x - 28 + 8. Let i(g) = x*r(g) - d(g). What is i(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*b**3 + 262 - 262.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 0*x = o + 16, x = -4*o + 20. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**3 + 19*w**2 - 33*w - 16. Let z be x(17). Let n(m) = 25*m - 3. Let h be n(z). Calculate the highest common divisor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -20, -5659 in ascending order.\nAnswer: -5659, -20, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 720341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3113, -5903, -8693, -11483, -14273, -17063?\nAnswer: -19853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000264324 to seven decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.4585 + -0.43. What is i rounded to three decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.12 - 2.52. Let p = k + -42.6. Let d = p - -44.71. Which is the closest to 0?  (a) d  (b) -4\/3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 396 and 302904.\nAnswer: 3331944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from {l: 7, w: 5}?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 231 - 211 = -57*z - 949 - 171 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = 5*s - 3*h, -s + 2*s = -2*h - 22. Let g = s + 21. What is the remainder when 26 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (223*b**3 - 163*b**3 + 400*b**3)*(-6 - 1 + 4)*(-2 - 2 - 5) to x*b + j*b**3 + y + d*b**2 and give j.\nAnswer: 12420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 13986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1 + -1 - 12\/(-6). Suppose 0 = p*v - 3 - 1. What are the prime factors of (-1 + v)\/((-3)\/(-39))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 g, and 1 o when three letters picked without replacement from {b: 4, o: 2, g: 1, m: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16791537 + -0.04948512.\nAnswer: 16791536.95051488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 27922 and 195454.\nAnswer: 195454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -63*d**3 + 78*d + 24*d**3 - d**2 + 2*d**2 - 79*d as u*d**2 + w + n*d + j*d**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 180 * -2832\nAnswer: -509760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z - 2*x + 38, 14 + 17 = 3*z + 2*x. Suppose 42 = -6*r + z*r. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -3*w - 5. Let a = w - -12. Let d(l) = l**3 - 7*l**2 - 2*l + 10. Give d(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - -8)*(4 + (-114)\/12).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1197 + 10611. List the prime factors of -8 + 13\/(117\/s).\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-48)*8)\/(1*-33)?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2523 + 5?\nAnswer: 2530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d - 12. Let y be p(-16). Let j(l) = 5*l - 5. Determine j(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g\/(g\/g**(-6\/11))*g*g**(25\/6)*g*(g*g**(-1\/15))**15 assuming g is positive.\nAnswer: g**(1295\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-2 + 1)\/(-1 + (-3090)\/(-3093))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = 4*j - x, -5*x - 1 = 4*j - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 + -34131540?\nAnswer: -34131532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1189.999990765 - -1190. Round k to seven dps.\nAnswer: 0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 12*1\/(-2)*(-48)\/72. Solve -13*b + 8*b + 24 = -4*f, s*f = -5*b + 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 37\/11, 4\/3, -0.1, 1236, -0.3 in decreasing order.\nAnswer: 1236, 37\/11, 4\/3, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*(-2)\/(-15) + (-1)\/(-15)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-246)\/(-12) + (-9)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -46*2*(-2 + 14\/8). What is the highest common divisor of 69 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1580 and 3460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 82633906.\nAnswer: -1\/82633906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 0*k + 9 = 5*c, -4*c + 8 = -3*k. What is the third derivative of 3*u**4 + 4*u**4 - 18*u**2 + 2*u**4 - 38*u**2 + 2*u**c wrt u?\nAnswer: 120*u**2 + 216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Multiply -933218 and -4.\nAnswer: 3732872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-280)\/(-245) + (-16)\/14)*-1. Let l = -1\/92 + 187\/276. Which is the closest to x?  (a) -0.4  (b) -0.01  (c) -2\/7  (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = g - 1259, 5*s = 4*g + 1857 + 230. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -137*z + 1733. Calculate n(12).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 297*k + 4*f = 284*k + 96, f - 6 = -k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-103 + n**4 - 10*n**3 + 101 - 35*n**3)*(n - 2*n - n).\nAnswer: -2*n**5 + 90*n**4 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d + 5*o + 30, -2*o - 15 = -3*d - 0*d. Suppose -2*c + d = -13. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 320\/15 + -28 - (-1 + -1 - (2 + -1)). Suppose 0 = -2*r - x - 2*x + 1, 2*r - 7 = -x. Let g = 0.1 + -0.1. Which is the biggest value?  (a) m  (b) g  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 - 3*v**2 + 17561. Let c = -299 + 299. Is q(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -7*n**2 + 4*n - 2. Let k(s) = -6*s**2 + 5*s - 3. Let x(u) = -3*c(u) + 2*k(u). What is the second derivative of x(b) wrt b?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 3*j**2 - 11*j - 360. Calculate the remainder when i(-42) is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d + 3*d - 245. Let a = -34 + d. Which is smaller: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*m - 2*d, -m + 4*d - 8*d - 1 = 0. Let p = m - 4. Factor -1\/3*i**2 + 0*i + 0 + 1\/3*i**p.\nAnswer: i**2*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the second derivative of i**5\/20 + 3*i**4\/2 + 8*i**3\/3 - 12*i**2 + 17*i + 3. Let k(n) = 6*n + 67. Let x be k(-14). Give v(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 35 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-81)\/12 - -3)\/((-18)\/48). Suppose 3*p = c*p - 14. Solve -p = -q - 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**3 + r**3 + 0*r**3)*(-1437 - 263*r**2 + r + 260*r**2 + 1185) + 0*r**5 - 3*r**5 + r**5.\nAnswer: r**5 - r**4 + 252*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1325 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 - 52568*x + 52513*x + 5*x**2 - 25 = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -9.67 and 8?\nAnswer: 17.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**3 + 7*h**2 - 5. Determine x(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -138*m + 136*m - 79 = 3*v, 307 = -116*m - 3*v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 12*d. Let j(l) = 7058*l**2 + 6*l - 2. Calculate j(o(n)).\nAnswer: 1016352*n**2 + 72*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 0 = 10. Let p be (-1 - 0)\/(d\/6). Suppose -58*r = -54*r - 2*g + 32, 0 = -5*r + 3*g - 43. Sort p, r, 32 in decreasing order.\nAnswer: 32, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 6967, 13759, 20449, 27037, 33523, 39907, 46189?\n\"Answer: -51*p**2 + 6945*p + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 806140 is divided by 338.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 13) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.072 and -4.\nAnswer: -0.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*c - 96 = 84. What is the closest to 1236 in c, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*x - 622 + 2602 = 0. Suppose 11 - x = -13*p. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 - 47*-3 - 0. Let t = 207 - d. Let o = t - 20. List the prime factors of o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 13, 0.1, 1\/4, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -4, 3, -3, -1 in descending order.\nAnswer: 3, 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -149.589 + 149.669. Let w = -1 + 0.9. Sort 2\/9, 0, w, b in descending order.\nAnswer: 2\/9, b, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r + 11. Let t be p(-17). What is the units digit of (-4)\/t*15\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -131\/8190 and -71\/2145.\nAnswer: 90090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 62 and 27466.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does -926 = -916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -51 + 62. Suppose -u = 5*t - v - 3, -3*u - 18 = -5*t. Suppose 0 = t*w, -h - 8 = 3*w - 3. Sort 3, 4, h in decreasing order.\nAnswer: 4, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 24 by 55.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 5) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:11 AM and 4:50 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 15 = -2*t + 10, -3*t - 10 = -5*r. Suppose 5*n + 2 = -j, -r*j + 0*n + 135 = -4*n. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -175.6 + 176.469. Let f = d - 0.469. What is the nearest to 5 in f, -5, 0.8, -4?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-5\/3))**(25\/3) assuming v is positive.\nAnswer: v**(-125\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 2 d when three letters picked without replacement from {m: 1, d: 2, t: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 655 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1624 is divided by 530.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(76)*-2 - sqrt(76))*6 + sqrt(76) + -1*-2*sqrt(76))*2)\/(((sqrt(16) + sqrt(48)\/sqrt(3))\/sqrt(2))\/(sqrt(4)\/(-3*sqrt(2)))).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 91872349?\nAnswer: 41, 2240789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuvuurulvlilo. What is prob of sequence uulu?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*u = 29 + 31 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*-7615\nAnswer: 3807.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 69 + -45. Let x = j - 23.99998464. What is x rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -2) + -2 - (-10 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -1\/2, 3, -4\/11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) -163  (c) -1\/3  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -852.716 - -853. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -45*n + 3151. What is h(72)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6770187259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -19052148 by 6.\nAnswer: -3175358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**3 - 7*u**2 - 8*u - 3. What is the remainder when 135\/(-18)*(-14)\/3 is divided by i(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 24*c*w**2 - 4*c*w + 2838*w**2 wrt c?\nAnswer: 24*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 + 2*p**2 - 3*p - 6. Let k be b(-4). Suppose -149 = 3*g - 4*y, 0*y - y = -2*g - 96. Let z = k - g. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 50*k - 13. Let w(h) = -6*h**2 + 2*h + 1. Let a be w(-1). Let p = a - -14. Is u(p) 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\/3?  (a) -0.06  (b) 2  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -490 - -1103. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6401, -12525, -18649, -24773?\nAnswer: -30897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 57578249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9)\/(-3) + (-5)\/(15\/(-3)). Is -5 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from hhqqhq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21290 + 21481. What is the greatest common divisor of d and 24448?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*1605.687.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/((2 + -3)\/9) + 1. Let k(i) = i**3 + 9*i**2 + 8*i + 5. Determine k(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s. Suppose -2*c - 14 = 6. Let x be c\/(-20) + (-1)\/(-2). Let b(n) = -7*n + 3. Let u(r) = x*b(r) + 5*q(r). Find the first derivative of u(d) wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence icqq when four letters picked without replacement from iqqqiissssisicssiss.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -4*a + 24. Determine o(12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 138 = 2*w, -410 = -7*c + 4*c + 5*w. Calculate the remainder when c is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -71\/2  (b) -2\/181  (c) 2\/9  (d) -4\/7  (e) -0.3  (f) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 155\/1188 and 181\/10045728.\nAnswer: 10045728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -4*j**3 - 12*j - 21. Calculate l(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4\/45 and -86\/5235.\nAnswer: 15705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -802303, -1604617, -2406931?\nAnswer: -3209245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11319385?\nAnswer: 5, 7, 11, 29401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve v = -2*w + 7, -10*w - 1 = 2*v - 9*w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6627 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qlgprqgropgrqpl. Give prob of sequence ggqo.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are 36017080 and 36017078 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-70)\/(-4)*136\/85. Suppose r*n - 1105 = 25*n + 4*p, -p + 1467 = 4*n. Is 38 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38043?\nAnswer: 3, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3075149, -3075153, -3075167, -3075197, -3075249, -3075329, -3075443?\nAnswer: -3075597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -714989922*a*u - 1094601*u - 1 wrt a?\nAnswer: -714989922*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 2*n**2 + 32*n + 33. Does 5 divide k(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**2 - 116*q + 3265. Determine c(69).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 286 (base 13) to base 5.\nAnswer: 3243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 26\/5 of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 - -28. Solve r = -3*o + 4*v, -v - 4*v = o - 11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2744)*1)\/((sqrt(8) + (sqrt(8) - -2*sqrt(8)) - sqrt(8))*-1).\nAnswer: -7*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 136*u**3 + 14*u**3 - 36*u**3 + 27*u**3.\nAnswer: 141*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 400260\/(-93394) - (-1746)\/(-14).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/185542 and -73\/232.\nAnswer: 742168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 442079927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 14*m - 152 = 0. Suppose -m*l - 97 = -489. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 4*w + 7 - 215, -5*w + 2*i + 242 = 0. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x = -89 + 83 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2\/3)\/z*z*z)\/((z*z*z**(-2\/15)*z)\/z)*(z*z*(z\/(z**(-4\/5)*z*z*z))\/z)**3 assuming z is positive.\nAnswer: z**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 651*j - 650*j - 13 - 16. Let n(k) = -k**2. Calculate z(n(r)).\nAnswer: -r**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -5*sqrt(99).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 78 + -20. Suppose -5*z = 3*a - w, -3*a = -0*z - z - 64. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23594 times -3\nAnswer: -70782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 37761 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 758 - 1163. Let s = 409 + h. Which is the smallest value?  (a) -0.11  (b) 3  (c) s  (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 0 - 3)*(13280 - 4*t - 6627 - 6600) to y + v*t and give y.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 5*r = -320. Suppose -g + 5*g - r = 0. Solve 0*n + 4*n + g = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5866 + 5863. What is the nearest to -12\/5 in 2, -23, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 95 - 91. Suppose -s*b = -2*t - 14, 4*b = -0*t - t + 11. Solve -b*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*t**3 + 236*t**2 + 424 wrt t?\nAnswer: -6*t**2 + 472*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00317007051 to seven decimal places.\nAnswer: 0.0031701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 2*b**3 - 8*b**2 + 4*b + 4. Let g(n) = -2*n**3 + 9*n**2 - 5*n - 5. Calculate -4*g(m) - 5*x(m).\nAnswer: -2*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((5\/4)\/(-5)*2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*r**3 + 452340*r**2 - 9973497600*r - 11700742533120 = 0. Calculate r.\nAnswer: -1116, 45792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**3 - 4*r**2 + 2*r - 1. Let f be g(2). Let m = -9 - f. Let l be (-3)\/(-2)*m\/6. Which is smaller: l or 1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1366 - 1355. Solve -s + q + 5 = 0, -8*q + 7*q = 3*s - r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5465 divided by -1093.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -3490, -3481, -3466, -3445?\n\"Answer: 3*a**2 - 3493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*v**2*y - 8*v**2 + v*y - 45*v - y wrt v?\nAnswer: 6*y - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -932*p + 417532. Calculate b(448).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 98 + -75. Let t = x + 20. List the prime factors of t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 654867 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -6\/49, 1\/3, -705 in decreasing order.\nAnswer: 7, 1\/3, -6\/49, -705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 39481 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 40 = -2*d, 8*d = 5*d - 3*h + 54. What is the highest common factor of 304 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 130\/(-14) - (-4)\/14. Let n(v) = 14*v - v - 3*v - 8*v - 11 - 3*v. Let d be n(t). Sort d, 5, 3 in increasing order.\nAnswer: d, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -13743*f - 274899. Determine o(-20).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-171 - 3)*(-1)\/3. Let u(i) = i**3 + 9*i**2 + 5*i + 12. Let s be u(-8). Let f = l - s. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 100\/120 - (-279)\/54?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 680652\/(-7884)*(-24)\/(-28)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -5*y - 4. Suppose -5*z + 6 = 4*q, 0*q + 2*q = -2. Suppose 0 = -p + z*m + 14, 0*m = 4*m + 20. Let o(t) = 6*t + 4. Give p*o(n) + 5*v(n).\nAnswer: -n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:19 AM and 3:18 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - 41. Let o = -1 + z. Let g = 6 - o. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2616\/(-981) + (4*1 - 1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.5 + -4.5. Which is the biggest value?  (a) -1\/4  (b) 3\/2  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 13*k - 99. Let x be r(24). Does 25 divide -5 - -1 - 2 - x\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7445 - 6157. Does 92 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15 + 14. Let o = 1.1 + s. Let t = 0.6 - 1. Which is the third biggest value?  (a) 4  (b) t  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -933 = -5*k - 2*z - 197, 0 = 2*k - 2*z - 286. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - -150?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a + 35 - 20. Suppose -4*v + 3*r + 20 = 0, 15*v + 5*r = 11*v + 20. Solve -25 = 4*l - v, 0 = -3*o - a*l - 25 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 4 = -0*x. Suppose -4*b - 2*a + 104 = -0*b, -4*a - 32 = -x*b. Solve 0*h + b = -h - 5*y, 0 = 3*y + 15 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5 + 1\/1*-2. Suppose h*m + 2*s + 24 = 7*m, -30 = -5*m + 2*s. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 + 55 = 21*y - 169 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 110340\/(-258244) + (-6)\/(-14). Let z = 1391953\/553380 + w. Calculate the common denominator of -47\/2 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes before 4:48 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a. Let s(b) = -2 + 2 - 23*b + 34*b. Let u(x) = 255*x. Let i(z) = -68*s(z) + 3*u(z). Determine i(w(h)).\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 5145170 to the nearest ten thousand.\nAnswer: 5150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -2*n + 652, -5*x - 1 = 9. Let g = -3853\/12 + n. Find the common denominator of g and (-113)\/24 + (-6)\/(-18).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-5)\/(t\/t**(-1)))\/(t**14\/t**(1\/5)) assuming t is positive.\nAnswer: t**(-104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 994\/5538*(-2)\/(-7)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14 + -11. Let s be (0 - 5)\/(2 + -3). Solve 4 = y*i - s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34950\/3495*1\/(-5)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - l**4 - l**4 + 5*l**2 + 85*l - 83*l in the form x + u*l**2 + h*l**4 + q*l**3 + m*l and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/14)\/((-195)\/(-15990))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.03033 < 0.085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-696)\/(-290))\/(176\/(-132))*10\/282?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4587 is divided by 228.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 7678382, 7678328, 7678274, 7678220, 7678166, 7678112?\n\"Answer: -54*o + 7678436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10, 27, 42, 55, 66, 75?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum -14.21 and 14.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*b**3*h*o**3 + 13*b**3*o - 2*b**3 - 3*b*h*o**3 + 71*b*h*o**2 wrt b.\nAnswer: -18*b*h*o**3 + 78*b*o - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 155.99998978 - 156. Round z to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.99 - -0.01. Let f = 9 + -9.2. Which is the biggest value?  (a) g  (b) f  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(-15)*5\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -1215.71 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 395 is divided by 222?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 + 3)*(429*x + 1901*x + 1677*x).\nAnswer: 28049*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 13755 to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*z**2 + 3*z**2 + z**2.\nAnswer: -35*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1112 - 1042?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, -0.004, 11, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/12 and 59\/99.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3239 (base 13) in base 7?\nAnswer: -26225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 307 - -9239. Does 80 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 271842.771 to the nearest 100.\nAnswer: 271800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the second derivative of 0*r**2 + 43*r + 0*r**6 - 1\/21*r**7 + 1\/2*r**5 + 1\/3*r**4 - 1 + r**3. What is the third derivative of h(c) wrt c?\nAnswer: -120*c**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 6400, 6330, 6260?\n\"Answer: -70*x + 6470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**3 + 21*l**2 - 41. Let b(m) = -m**3 - 17*m**2 + 41. Calculate 7*b(u) + 6*d(u).\nAnswer: -u**3 + 7*u**2 + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 5*r + 4*x + 9, 3*r - 4*x = 8. Solve -3*q - 11 - 1 = r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/2*q**4 - 2*q**3 + 0 + 0*q + 0*q**2 + 1\/2*q**5.\nAnswer: q**3*(q - 1)*(q + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 108\/(-24)*-1*3*(-38)\/171?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 + 6*x**2 - 4*x + 2. Is b(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-413490 + 413490 - 2009*r)*(0 + 2 - 4)*((5 - r - 5)*(2 - 1 + 1) + 3*r - 3*r - r)*(5 - r**2 - 5).\nAnswer: 12054*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41364.\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 7*u**3 - 24*u**2 + 7*u + 363. List the prime factors of c(17).\nAnswer: 7, 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 665.\nAnswer: 1\/665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1128712 (base 11) in base 3?\nAnswer: -10201020222222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 449187024*t**3 - 2*t**2 + t + 2. Let f be q(-1). Let c = f + 5681766682233\/12649. Let h = c + -30\/139. Is 0 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 260 is divided by 53.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h = 5*r - 25, r = h - 1 - 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38093448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 0.3, 0.4, -0.4, 1761306?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 5*m**2 - 164*m - 62. What is k(33)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*f + f - 13*f - 65*f as q + t*f and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**3\/2 - 23599*v**2\/2 - 1083967*v\/2 - 12459537\/2.\nAnswer: -(v + 23)**2*(v + 23553)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2568 + -13?\nAnswer: 2555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**5\/5 + 6*q**4\/5 - 8*q**2\/5.\nAnswer: -2*q**2*(q - 2)**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - 4*v + 72, -3*l - 30 = 2*v + v. Let u be 18\/l - 2\/(-7). Suppose 0*s = -4*s. Which is bigger: u or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 58\/3 of a minute?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 475 + -17123\/36. Calculate the common denominator of -71\/6 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2000 at most -2006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 42 * -37194\nAnswer: -1562148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -m + 101. Let o be (0 - -1)*(-20)\/4. Let c = o + m. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -3*c**3 - 2*c**2 + 3*c - 13. Calculate the remainder when 3913 is divided by f(-4).\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-2*2\/2)*(-83)\/83?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b + 4. Let m(v) = -v + 5. What is -4*k(f) + 3*m(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**2 + 6*z + 9. Let j be s(-5). Solve 4*p - j*k + 2*k = -8, -5 = 5*p - 5*k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.199043 nanometers in kilometers?\nAnswer: 0.000000000000199043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 580083 to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 132888 divided by -6?\nAnswer: -22148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 132 + -139 + -2 - (24 - -1).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -2658.42 and -0.126379698.\nAnswer: -2658.546379698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -4*s + 3*q + 8, 7*s + 13 = 2*q. Put -26, -0.1, s, -1 in descending order.\nAnswer: -0.1, -1, s, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = -3*j + 5*t - 56, 0 = -2*j + 4*t - 52. Let y = j - -55\/2. What is the common denominator of y and -89\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 7.299268 meters?\nAnswer: 0.007299268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148 is divided by 78.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8438*c*g**3 - 7*c*g**2 - 43*c*g - 8*c + g**3 - 3*g**2 wrt g.\nAnswer: 50628*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from {c: 1, u: 1, s: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 170 + 150 = 4*s, 4*u + 24 = -4*s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 223829329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-9\/2))\/(f\/(f\/(f\/(f\/(f**(6\/11)*f)*f*f)))))**(26\/9) assuming f is positive.\nAnswer: f**(-871\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -86.8 + 53. Let u = x - -35.8. Suppose -p + 2 = 1. Which is the nearest to -3\/2?  (a) 5  (b) u  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 8606835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -2*o**2. Let b = 63 - 48. Let d(c) = b*c + 13*c - 19*c. Give w(d(q)).\nAnswer: -162*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bssbbbbbbbbbsb. What is prob of sequence bsss?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (86\/(-3))\/(2\/(-3))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (54\/12*(-650)\/(-225))\/((-1)\/(-3)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2906596 and 2837?\nAnswer: 2909433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -13765818816 - 20227\nAnswer: -13765839043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 41746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n - 5. Let s be a(4). Let d be (-3)\/15 - s\/5. Is -1\/3 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 + 2*z. Let y be c(2). Let f = -695 - -747. Let s be (12\/(-8))\/((-6)\/f) - 1. Calculate the highest common factor of s and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((d - d - 2*d**2)*(-4 + 10*d + 4) + 2*d**3 - 4*d**3 + d**3)*(4*d - 4*d + 2 - 3*d + 2*d**2).\nAnswer: -42*d**5 + 63*d**4 - 42*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - -13. Suppose -c - 5 = -g. Calculate the highest common divisor of 128 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 17*q**2 + 734*q - 22. Let r(a) = -4*a**2 - 183*a + 5. What is -9*r(d) - 2*v(d)?\nAnswer: 2*d**2 + 179*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/((-2)\/(-3)) + -62 + 109802\/1860.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 227864 - 827864. What is x rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2666*a**2 - 12*a + 64?\nAnswer: -5332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -95, -84, -69, -50, -27, 0?\n\"Answer: 2*r**2 + 5*r - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -2*z + 4 + 4*z - 4*z + z. Let y(b) = -1. Calculate m(a) + 4*y(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 28 = -33140*n + 33144*n, 20 = -5*n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((-1 + sqrt(1584))**2 - sqrt(1584)).\nAnswer: -36*sqrt(11) + 1586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 147 and 71.377608?\nAnswer: 75.622392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -104 + 32354154?\nAnswer: 32354050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 3*n**2 + 8*n. Let i be j(-3). Let b = 33\/20 - 1531\/940. What is the second smallest value in i, 4, -1\/8, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-44)\/(-11)*12\/8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**2 - 10*n + 2. Let k = 9 - -1. Let u be t(k). Suppose -5 + 1 = -2*f, u*f = 2*h - 139996. Round h to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 + 15*j**2 - 12*j - 3. Suppose -14*q = -15*q - 4. Let t be q*-14*1\/4. List the prime factors of s(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = 5*y, 3*y + 5*v + 3 = -3. Suppose 0 = -y*s - 5 - 1. Is -1 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-10 + 9)*(-5 - 1). Solve 2*h - 5*h = u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - 1.2. Let t = -2199 + 2199.5. Which is the third biggest value?  (a) t  (b) 1  (c) -1  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/39)\/(93080\/(-453765)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -7 + (0 - -11) - 1*-4. Let y = -343 - -353. Calculate the greatest common factor of g and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1011 - -4143?\nAnswer: 3132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 815440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 964 + -964. Put p, 0.1, 31 in descending order.\nAnswer: 31, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 238057.181 >= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*c**3 - 125 - 124 + 251 + 65*c as o*c**3 + s + n*c**2 + u*c and give u.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 67.56375mm in kilometers?\nAnswer: 0.00006756375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) 1  (c) -1  (d) 5\/549\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**8\/(j\/(j*j*j**1))*j**(3\/7)*j**6\/j)\/(j*j\/j**(-3)*j\/(j*j\/(j**(2\/21)*j))*(j*j**(-1)*j*j)\/j**(1\/7)) assuming j is positive.\nAnswer: j**(178\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -76*p + 77*p - 2*f - 333, -5*p - 4*f = -1763. Which is bigger: 340 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dpkd when four letters picked without replacement from kkkdpdnkkdkknd.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -5*p + 40, -1 = -2*p + 3*t - 8. Let g(l) = -p*l - l**2 + 3*l + 0*l**2 + 3 - 1. Calculate g(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*a + 0*a + 8*a - 4*a - 2*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3970619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 32.473607941\nAnswer: 35.473607941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -21 + 1956 - (-4 + 13)?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11 + (-15 - (-11)\/22))*(1 - 2\/14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 0 + sqrt(1377)*5)**2 + 5 + 3.\nAnswer: 90*sqrt(17) + 34434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -3*b - 4. Let g(s) = 7*s**2 - 3. Let x be g(b). Suppose x*q - 27*q = -104. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(2\/35))\/g)\/(g*g*g**(7\/3)*g*g) assuming g is positive.\nAnswer: g**(-659\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 3 = 1, 3*a - 5*t = 38. Is (-2322)\/(-1) - (a - 6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 217213774 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 + -4. What is the lowest common multiple of 2 - 2 - a\/3 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20433877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(3\/8)*r*r\/r**4)\/((r\/(r**(-3)*r*r))\/r)**5 assuming r is positive.\nAnswer: r**(-53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -67594747 or -67594748?\nAnswer: -67594747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27018 + 28356. What is the highest common divisor of 6467 and u?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -43 at most -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2)\/(4 + -2))\/(11\/(-22)). Let d(u) = -4*u**2 - 18*u - 12*u + 0*u**n + 30*u. Let c(h) = -4 + 3*h + 4. Determine c(d(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 l, 1 u, and 1 r when four letters picked without replacement from rrrllurlrrlpllr?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m = -u - 3, -2*u - 12 = -70*m + 72*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the third derivative of 3*b**6\/40 + 7*b**5\/60 - b**3\/6 - 17*b**2. Let r(c) = -4*c**3 - 3*c**2. Give 3*k(f) + 7*r(f).\nAnswer: -f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3 - (-585)\/200)\/(18\/(-8)). Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -1, -5, -52, -0.2, 0, 4, 1.186?\nAnswer: 1.186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the first derivative of s**5\/60 + 3*s**4\/4 - 20*s**3\/3 + 19. Let w(y) be the third derivative of p(y). Let u be w(-5). Solve -u = -j - j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -111900 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 707358 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 5*q + 5*q - 6*q)*(16 + 3 - 3).\nAnswer: 64*q - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -2022 at least as big as 130369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f = -3*x + 16, 9 = -x + 14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 35054386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3 + 2)\/(3 + -2). Let o = s - -3. Suppose o*w = w + 1. What is the smallest common multiple of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -329, -335, -345, -359, -377?\n\"Answer: -2*h**2 - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59204271.\nAnswer: 3, 7, 131, 21521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**2 - 2*q + 2. Let h be l(0). Suppose 2*r + 4 = 4*r. Let -r - 3*d - d + 4*d**2 - 6*d**h = 0. Calculate d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 31 - (-1 + 1) - (88 - 191 - -94)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 277\/7382?\nAnswer: 277\/7382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 + 112. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -193835\/7 + 27766. Let f = -75 + h. Which is the third smallest value?  (a) 2\/9  (b) f  (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 11*a**3 - 6*a**2 - 2*a + 2. Let b(k) be the first derivative of 3*k**4 - 7*k**3\/3 - k**2 + 3*k + 1220. Give -2*b(d) + 3*y(d).\nAnswer: 9*d**3 - 4*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 86223437 to the power of 1\/2, to the nearest integer?\nAnswer: 9286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q**2 + 0*q**2 - q**2 + (-3 + 3 - 2*q)*(-q + q + q) - 3 + 3 - q**2 + 0*q + 0*q + q**2 + 0*q**2 - 2*q**2 + 0*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**2 - 14*t + 2. Let n be d(14). Let y be (-64)\/36 + n\/(-9). What is the common denominator of -26\/3 and (-7)\/(63\/y)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 3*k - 2. Let f be 4 + 2\/(-2)*9. Let h(i) = 5*i - 4. Let a(d) = 6*d - 5. Let r(v) = 4*a(v) - 5*h(v). Give f*r(p) - n(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*h**2 + h**2 - h**2 - 7*h**2 + 8*h**2 as w + f*h**2 + l*h and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16 - 16 + 31*o)*(-13*o**4 - 118*o + 118*o - 4 + 51*o**4).\nAnswer: 1178*o**5 - 124*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 4*s + 3*c, -2*s + s - 3*c = -10. Suppose d = -s*d. Suppose 4*n + 1 - 17 = d. Let u(f) = f**3 - 5*f**2 + 3*f. What is u(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(112) - sqrt(112))*5 + 2 - (-5*(sqrt(112)*2 - sqrt(112)) + sqrt(112) + (-1*(sqrt(112) - (sqrt(112) + 2*sqrt(112))) - sqrt(112))))**2.\nAnswer: 208*sqrt(7) + 18932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the first derivative of -s**7\/63 - s**6\/45 + s**5\/30 + s**4\/18 + 4*s + 2. Let n(g) be the first derivative of t(g). Let n(z) = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t + 39. Let g be z(13). Let s = 26 - g. Suppose -3*a + s*a = -9. Solve 0 = -0*w + a*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = 5*w - 4*g, 5*g + 2 = -2*w - 20. Let u be 0 - (-4)\/2*1. Solve w*y - m + 18 = -1, -u*y + 4*m = 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (8*1)\/(9 - 7). Is 18 a factor of 17 - (-2 - (a + -3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 + 5.5. Suppose -t - 3*t = -3*l - 13, -4*l + 16 = 3*t. Suppose 3*s + t = 1. What is the third smallest value in -2\/9, s, y?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 70724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -14353765.7 to the nearest one thousand.\nAnswer: -14354000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 590 = 4*k + 182. Let m(v) = v**2 - 22*v + 3. Let x be m(22). Suppose 141 + 63 = x*j. Calculate the greatest common factor of k and j.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:20 AM and 4:36 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 109.5719ng to tonnes.\nAnswer: 0.0000000000001095719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4642*j**3 - 4815*j**3 - 11521*j**3.\nAnswer: -11694*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.183264261 and -2402.\nAnswer: -2402.183264261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 133352627 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -2*n + 12, 41 = 5*g + 2*n. Let h = g - 3. Suppose -20 = h*k, -4*m + 6*m - 5*k - 41 = 0. What is the remainder when 14 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9463 is divided by 151?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = 4*w + 3. What is the common denominator of (4\/w)\/((-16)\/(-342)) and 39\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 2*w + 38. Let f(x) = -53*x**2. Give m(f(c)).\nAnswer: -106*c**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 27368.4663ns in weeks?\nAnswer: 0.00000000004525209375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 5) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(-2)*2*(-48)\/(-48)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -8681 (base 10) to base 8\nAnswer: -20751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2325845, -2325840, -2325833, -2325824, -2325813, -2325800, -2325785?\n\"Answer: z**2 + 2*z - 2325848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i = 3*w - 11, 2*i = 2*w - 2*i - 10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/24*-2*(-2)\/14?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 2*s - 19199998 = 0, -4*s = -5*l + 27445602 + 4554394. Round l to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the first derivative of 1099*g**3 + 714*g - 1019. Differentiate f(u) with respect to u.\nAnswer: 6594*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15606*h**2 + 15612*h**2 + 15611*h**2 + 7 - 62440*h**2 + 15607*h**2.\nAnswer: -4*h**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10 in -2\/3, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 9*z. Let p(f) = -f - 2. What is p(u(m))?\nAnswer: -9*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*d*r**3 + 35475*d*r**2 - 27*d*r - 10*d + 2*r**3 + 7*r**2 - 410*r - 2 wrt r?\nAnswer: -12*d*r + 70950*d + 12*r + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-2 + 36\/15). Let o(y) = 3 - 1 - y**3 - 2*y - m*y**2 + 0*y**3. What are the prime factors of o(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10.9771 - 11.54269. Let d = r - -0.5354. Let f = d + 0.03. What is f rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 36*k*m**5 - 1652686*k + 826306*m**5 + m**2 wrt m?\nAnswer: 2160*k*m**2 + 49578360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 + -10. Let b be (-1)\/(j - -3) + 1. Suppose -4*i + 54 = -b. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 41\/56 - 5\/14. Suppose -31*v - 13 = 11*t - 32*v, 2*v = 3*t - 12. What is the nearest to t in -2, z, -2\/9, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 38520378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 - 14206.8.\nAnswer: -14207.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c - c + 96. Let s = -19 + c. Differentiate 2 - 6 + s*j + 1 - 5 wrt j.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3.7 equal to 1713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 144976 divided by 52\nAnswer: 2788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2310 and 1650.\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 768*b + 658*b - 39928 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2200 - -2151. Let z(x) = -2*x**2 - 6*x + 1. Let t be z(4). Let r = j - t. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 306*x + 310. Let m be j(-1). Let l(i) = 3*i**2 - 1. Let d be l(1). What is the highest common factor of d and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1\/4))**(-13)*(r*r*r*r**(-2\/3)*r*r)**27*(r**(-2\/5)\/r*r*r**(-4)\/r)\/(r**6\/r*r*r**(-2\/19)) assuming r is positive.\nAnswer: r**(41403\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 94 a factor of 5261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.9781727 to three dps.\nAnswer: -2.978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*i**2*n**4 + 6*i**2*n - 2*i*n**2 - 26*n**5 + 15 wrt n.\nAnswer: -144*i**2*n - 1560*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-95)\/38*(-84)\/(-210)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 830358.4 grams?\nAnswer: 0.8303584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 2*w**2 - 5*w - 47. Let m = 201 + -194. Calculate the least common multiple of b(m) and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70 = -142*x + 78 - 148 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0.3, 9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1266.18 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -371 + 4018*i**2 - 8036*i**2 - 391 + 764*i + 4016*i**2 = 0?\nAnswer: 1, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 - 8 = 3*c. Let t = c - -19. Differentiate -g - t + 5 + 1 - 2*g with respect to g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes after 4:10 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -125174158 divided by -1\nAnswer: 125174158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**2 + 7*f + 3. Let m be y(-6). Let j(v) = -2*v + 2. Let q be j(m). Calculate the highest common divisor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2702, 2704, 2716, 2744, 2794, 2872, 2984?\n\"Answer: n**3 - n**2 - 2*n + 2704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -989 - -1070. Sort -5, 2, d, 5 in decreasing order.\nAnswer: d, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7866 at least as big as -6574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 3*z = 4, 220*z = -2*t + 222*z - 24. Put 35, t, 1, -52 in increasing order.\nAnswer: -52, t, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**2 - 2*d + 3*d - 3 + 0*d. Let k be c(-3). Solve 2*n + 6 = -k*w - 1, -3*w = 4*n + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-16)\/(-10) - (-4)\/10. Suppose j + 0*k - 9 = -s*k, -k = 3*j - 17. Solve -5*t - o - 2 = 0, j*o - 10 = -8*t + 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37 (base 9) in base 12?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(684)\/(-2*sqrt(972) - sqrt(972) - sqrt(12)))\/(sqrt(96)\/sqrt(2)).\nAnswer: -sqrt(19)\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -27.4 * -2\nAnswer: 54.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 466383 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 28.09 + -29.5. Let t = 1.59 - u. Let g be (3\/(-15))\/(1 + 0). Sort 1, t, g, 0 in descending order.\nAnswer: t, 1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1158653, 1158633, 1158599, 1158545, 1158465, 1158353, 1158203, 1158009?\nAnswer: 1157765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + 36*p = 180. Solve -5*s + 10 = -s + z, 5*z = -p*s + 20 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 + -4. Let o = -3.1 - -3.1. Suppose 2*d - 3*d = -3. Which is the second smallest value?  (a) k  (b) o  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 581 and 747.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = 13*i - 8*i + 3*v, -25 = -2*i + 5*v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.01448 + 1.08512. Let y = 0.051 + 1.049. Let w = k - y. What is w rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -41*u. Let x(d) = -185*d + 1. Let a(j) = 9*v(j) - 2*x(j). Let w(p) = -2*p**2 + 2*p. Determine a(w(k)).\nAnswer: -2*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f + 4, 3*m + 2*f - 42 = -10. Solve 2*d - m = -3*u - d, -u - 5*d + 20 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/356 in 103, 2, -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 66\/(-27)*(-1707)\/12518. Suppose -z*l**3 + 22*l**2 - 363*l + 0 = 0. What is l?\nAnswer: 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4158 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 26360523 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 256 + -256. Let x(r) = r**2 - 9. Determine x(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5168749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*p + 4*p + 0*p)*(-2*p + 2*p + 2*p**3) - 255*p**4 + 131*p**4 + 132*p**4 + 1 - 1 + p**4 in the form t*p**3 + i + a*p + q*p**2 + k*p**4 and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, -0.431, -0.2, -68\/3 in increasing order.\nAnswer: -68\/3, -0.431, -0.2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -33 - -40. Let m(t) = t - 10. What is m(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2040623 - 214\nAnswer: -213.7959377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 599236729 a multiple of 2711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15726 - 15592. Sort 4, -13, v.\nAnswer: -13, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -3*d - 9*p + 651, 0 = -3*d + 3*p + 630. List the prime factors of d.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/5 + 0\/2. Let g = -28 - -28.5. Let d be 0*-1*3\/(-6). What is the second biggest value in g, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2591385 + -41308833\/16. Let i = -9586 + f. Find the common denominator of i and -1 + 73\/6 + -2.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -4*t - 384, -5*k + 4*k - 2 = 0. Let g = t + 151. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (2\/(-154))\/(36\/2814) - -1 and -99\/10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*w**4 - 61518*w**3 - 268*w**2 + 3351*w?\nAnswer: 72*w - 369108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2664.0000095168 + 2664. What is b rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-40 - 11*a**2 + 40)*(2 - 1 - 2 + 3 + 0 - 2 + (-1 + 1 + 1)*(-1 + 0 + 0) - 2 - 4 + 4 + 1 + 0 - 2 - 1 + 2 + 0) to s*a + r*a**2 + j and give r.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-31790)\/1015 - 4\/(-14). Let z = 21453\/638 + w. Calculate the common denominator of z and -25\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3872 by -4.\nAnswer: -968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86262 is divided by 253.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*i - i + 24*i**6 - 184*i**2 + 173*i**2 + 2*i - 358*i**6 wrt i.\nAnswer: -40080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1772038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 - 5*m + 5. Let v be c(3). Let r(d) = -18*d - 1. Let f be r(v). Let u = -5 + f. Calculate the remainder when 22 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the third derivative of 1\/24*x**4 - x**2 - 1\/120*x**6 + 3\/20*x**5 + 0 + 0*x - 2\/3*x**3. Let y be w(9). Solve -7 = 3*r + y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**3 - 11*d**2 + 10. Let o be b(-11). Let j be (-8)\/o*(-30)\/4. Calculate the highest common divisor of j and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -9814, -9813, -9812, -9811, -9810?\n\"Answer: w - 9815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s**5 - 292*s**4 + 7526*s**3 - 26388*s**2 + 19152*s = 0.\nAnswer: 0, 1, 3, 28, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d + 119*d. Let l(n) = n**3 + n**2 - n - 7. Determine l(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7.1 - 0.0487\nAnswer: -7.1487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2952306 is divided by 320.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 40191499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 - -52. What is the lowest common multiple of 6 and u?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((4\/(-18))\/(17\/306))\/(8\/(-26)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 67.09761ml?\nAnswer: 0.06709761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = -3*p + 66. Solve 0 = 3*c - 5*s - 27, 0*s - 5*s - p = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4410 divided by 6\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/3*j**2 + 1\/3 + 1\/3*j**3 - 1\/3*j.\nAnswer: (j - 1)**2*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**2 + 5*u - 1. Let s be j(2). Let o(k) = -7*k**3 + 7*k**2 + 5*k - 3. Let g(c) = 4*c**3 - 4*c**2 - 3*c + 1. Give s*g(f) + 3*o(f).\nAnswer: -f**3 + f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 69699769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -1048 greater than or equal to -1041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -2*m**2 - 5*m + 5. Let k(c) = -3*c**2 - 5*c + 3. Let f(p) = 7*p**2 + 11*p - 6. Let o(b) = -2*f(b) - 5*k(b). Give -7*o(s) - 4*v(s).\nAnswer: s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 - 45*i**2 - 504*i + 55. What is the remainder when -4*(-2 - 3) - -2 is divided by b(-23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10.52 - 10.52. What is the fourth biggest value in -5, f, -3, 6, -94?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(21\/(-30) - 3\/(-15)). Suppose 3*i + 3*o - h*o = 70, 68 = 4*i + 5*o. Let u = i + 78. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*f**3 - 3*f**3 - 5*f**3 - 137*f**2)*(2*f - 3*f + 4*f + 2*f + 0 + 0 + (3 - 2*f - 3)*(-1 + 0 - 1) - f + 0*f + 6*f) + f**4 + 0*f**4 + 0*f**4.\nAnswer: -13*f**4 - 1918*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -8  (b) 2  (c) -2  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 3*z, 3*y - 5*z + 1 = 7*y. Solve 3*i + 3*q = 0, 4*i + y*q - 6*q = -30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 - 13*s**2 + 12*s - 2. What is o(11)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 5*d + 4. Determine k(-8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s + 1. Let c(k) = -k. Let n(p) = -c(p) + h(p). What is the units digit of n(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2952*f**2 - 2951*f**2 + 22 + 57 as l*f**2 + p + o*f and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13 - 16 - 43*a + 6)*(a**3 + 0*a**2 + 0*a**2).\nAnswer: -43*a**4 + 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -1515.59 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (6 + (-13104)\/2145)\/((-3)\/5). Let o = 1\/20 - -7\/60. What is the biggest value in d, -1, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4 and 656588.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2216231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (2\/(-9) - (-175)\/(-63)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 587 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 2*a)*(-24 + 24 + 3*a) - 3*a**2 + 4*a**2 + a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/(-553))\/((-85)\/((-9690)\/76))?\nAnswer: 3\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.73555 - -0.43555. Let f = 0.35 + -0.05. What is the nearest to -2\/11 in f, 2\/13, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 5214, 41511, 140014, 331833, 648078, 1119859, 1778286, 2654469?\n\"Answer: 5185*w**3 - 7*w**2 + 23*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.054 plus -104914143422?\nAnswer: -104914143421.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9c (base 16) to base 14.\nAnswer: b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -20*c + 26. Let j(y) = -7*y + 9. Let x(g) = -6*a(g) + 17*j(g). Let z be x(4). Let q be z*(-2 + -1) + -299997. Round q to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 30, 4, -2, 3, -6, -5.\nAnswer: -6, -5, -2, 3, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2514238*g**2 - 1032345*g wrt g?\nAnswer: 5028476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = 4*m - 77, 61*g - 4*m - 1287 = -3*m - 1000 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 4 = 2*z. Let y be (z\/(-12)*0)\/2. Solve y*d**2 + 4\/3*d**3 + 0*d**4 + 0 - 2\/3*d - 2\/3*d**5 = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/237?  (a) -5  (b) 1\/2  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 11, -1\/4, 4\/7, -0.8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*u + u + u)*(-3*u**2 + u**2 + u**2) + u**3 - 3*u**3 - u**3 + (3 - 3 + 2*u**2)*(0 + 3*u + 0).\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 628*g**3 - 29*g + 29*g - 630*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -34 (base 16) to base 9.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 4010, 4005, 3996, 3983, 3966?\n\"Answer: -2*c**2 + c + 4011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -39772*j. Let k(s) = -31*s. Give n(k(m)).\nAnswer: 1232932*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6168 - -6179. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/976 and -97\/318?\nAnswer: 155184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -2*t - 6. Let b(j) = -29. Let m(y) = 73. Let i(l) = -5*b(l) - 2*m(l). Determine -f(z) + 3*i(z).\nAnswer: 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/811020 and -59\/9348?\nAnswer: 631784580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -a1 + -4?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 88*i**4 - 3*i**3 - 4*i**2 - 8327*i wrt i.\nAnswer: 1056*i**2 - 18*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/19603 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 484639 (base 13) in base 7?\nAnswer: 20435545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -302*c - 720 = -297*c. Let t = c - -496. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 42*g - 120*g - 51 - 83 - 22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 89652869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 524174?\nAnswer: 2, 7, 37441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*p + 4 = -20*p - 52 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 - -4.6. Let t = 0.2 + j. Suppose 0*d - 2*u = -d + 12, 5*d = -2*u. What is the smallest value in -1\/8, t, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -85676, -342677, -771100, -1371017, -2142500, -3085621, -4200452, -5487065?\nAnswer: -6945532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -7394, -7403, -7412?\n\"Answer: -9*j - 7385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10*1\/8*-4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the first derivative of -r**3\/3 - 3*r**2\/2 + 13*r + 179. Give t(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/22, -28, -0.6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeefeeeseeeessef. Give prob of picking 1 f and 2 e.\nAnswer: 33\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*m + 3*m + 3*m)*(-11*m + 4*m - 13*m) - 13*m**2 - 4*m**2 + 2*m**2.\nAnswer: -35*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5509 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: a9 (base 14) to base 3\nAnswer: 12112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002438441241 rounded to 6 dps?\nAnswer: 0.000244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 39*a - 3. Let o(c) = 79*c - 5. Let g(j) = -7*m(j) + 4*o(j). What is g(-1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69 + 74 - 47 = -14*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 185951 is divided by 20655.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1266*t**3 - 2541*t**3 + 1276*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -3174 divided by -28255?\nAnswer: 3174\/28255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -23 - -47. Suppose -4*h - 4*p = -t, 3*p - 4*p + 2 = -3*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 1676*k. Let u(q) = -62*q**2 + 26*q - 3. What is u(n(g))?\nAnswer: -174156512*g**2 + 43576*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 27.61 and -2433.\nAnswer: -67175.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4454224 divided by -1113556?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*w + 4*w + 115*w**2)*(2 - 3 - 1) + w**2 + 4*w**2 - 3*w**2 in the form p*w + a*w**2 + d and give a.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-10))\/(u*u*u**(5\/6)))**(5\/8)*((u*u\/u**(4\/5))\/(u**6*u))**(-8) assuming u is positive.\nAnswer: u**(9361\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z - 4*z + 0*z)*(2*z + 6*z + 0*z + (0*z + 2*z + 0*z)*(6 - 3 - 1)).\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/8, 10, 5\/2 in descending order.\nAnswer: 10, 5\/2, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.5 - 3.5. Let m = -7746 - -7758. Are m and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75181*g - 75437*g = -13568 for g.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 2 x when three letters picked without replacement from ddhldhxqxdhhdhdhqd.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14 * 8968.\nAnswer: 125552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -24 + 13. Let q = w - -6. Suppose -36*r - 18 + 54 = 0. Sort 15, q, r in descending order.\nAnswer: 15, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.36 and 43?\nAnswer: -15.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-4\/11)\/r**19*r**(1\/9)*r\/(r\/r**(-3)) assuming r is positive.\nAnswer: r**(-2203\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1408 + 1984. Is (12\/(-4) - -4) + t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from drddxrrfuxid. What is prob of sequence fdd?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 19, c: 1}.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75323 + 16477 = -335*o - 661*o - 26724 for o.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0  (b) 1  (c) 71  (d) 0.11  (e) 0.4  (f) 26\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((52\/4)\/(-676))\/((-1)\/(-4))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 29*f - 2. Let z be s(6). Suppose -25*w + z = -21*w. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 7*m**2 - 8529*m - 86028. Give v(-10).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44302475 is divided by 553?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**9)**(-2\/15)*m**(-10\/11)*m**11*m)**19 assuming m is positive.\nAnswer: m**(38114\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 24a1 - -99?\nAnswer: 255a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (2*10\/(-45)*3)\/((-2828)\/(-42))\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -a**3\/4 - 4321*a**2\/2 - 4691435*a - 102168550 = 0.\nAnswer: -4310, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -d - 0. Suppose -221 - 24 = -7*s. Let u = d + s. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i + 5*n + 30, 3*i + 5*n = n - 1. Suppose -w - i*a + 19 = 0, -4*w + 20 = -2*a - 12. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -581612 (base 10) in base 14?\nAnswer: -111d5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -6561, -6562, -6563, -6564, -6565, -6566?\n\"Answer: -t - 6560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -65 - -317\/5. What is the nearest to -0.1 in 0, 0.3, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {a: 1, v: 1, b: 1, y: 2, e: 5, z: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 89209.6 millennia?\nAnswer: 1070515200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b87 + -1b5?\nAnswer: 9c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4\/3  (b) -88\/7  (c) -1174  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 5 - (-3 + -1 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -826*l**3 - 3968*l wrt l?\nAnswer: -4956*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(91) + 2*(sqrt(91)*-1 - sqrt(91))))\/(-1*sqrt(343)*-6)*-5.\nAnswer: -5*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 24741 and 10996.\nAnswer: 98964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes before 3:30 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -5.696, 99, 3\/4 in increasing order.\nAnswer: -5.696, 3\/4, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2486432406.\nAnswer: 2, 3, 414405401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 488538218 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 187.000000438 - 187. What is p rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 0)*(2 + 0 - 4)*(29*j + 38*j - 11*j).\nAnswer: -112*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 167 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -188399*z. Let y(c) = -5*c - 4. Calculate q(y(s)).\nAnswer: 941995*s + 753596","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Put 20, -407, 26, 269 in descending order.\nAnswer: 269, 26, 20, -407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 43 - 46. Sort 15, g, -4 in increasing order.\nAnswer: -4, g, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**3 - 6*c**2 + 6*c - 5. Let z be b(-7). Let s be (-106593)\/48 + z\/(-8). Let p = s - -2216. Find the common denominator of p and -77\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 4*q**2 - 73*q - 49. What is d(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -2451 greater than -2463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 2 v when three letters picked without replacement from {j: 3, g: 1, v: 3, d: 1, m: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/8 of a gram in milligrams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -452\/135 - -354646\/3105. Is k less than or equal to 111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z + 5*q + 8, 0*q = -2*z - 2*q. Let d = 24 - 29. Put 1, -1, d, z in ascending order.\nAnswer: d, -1, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -7*x**2 + 20*x - 13. Let n(l) = -l**2 + 2*l - 1. Let f(w) = -m(w) + 4*n(w). Factor f(q).\nAnswer: 3*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7436 is divided by 436?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 243.\nAnswer: 5\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 24964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -1 + -5*(sqrt(2736) - (sqrt(2736) + 1)*-6 - (sqrt(2736)*2 + -2 + sqrt(2736)))**2.\nAnswer: -219196 - 3840*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 + 1. Let h = 15000 - 14999. What is the nearest to h in r, -0.2, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*z - 11*z + 12*z + 21*z.\nAnswer: 41*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**2 + 75*u - 28. Let o be m(-75). Put 0.2, o, 9\/11 in ascending order.\nAnswer: o, 0.2, 9\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 + 5*x**2 - 3*x + 20. Let y be b(-6). Suppose 138 + 107 = 5*q + 2*v, 4*q - y*v = 196. Let j = -23 + q. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16435555361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -29 take away -1759?\nAnswer: 1730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -5*m, 9*o = 4*o + 3*m - 4. Let s = -8 + 9. Is o equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 20 = 2*h, 4*h = -4*u + 2*h - 30. Let z be u - (7 + (6 - 24)). Solve z - 20 = 7*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -471 - -474. Find the third derivative of -108*i + 47*i + 61*i + 307*i**2 - 232*i**z wrt i.\nAnswer: -1392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 36 and 14036805?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 208 = f. Suppose -9 = 42*v - 93. Suppose -f = -3*q + 2*q - v*c, 3*q - 121 = c. What is the greatest common factor of 21 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**3 - 13*w**2 - 30*w. Determine k(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/1064 and 157\/6384.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z + 9. Let j be x(4). Suppose 2*r - j*b = 24, 2*r + 2*b + 0*b = 24. Suppose -5*n + 139 + 36 = 0. Calculate the remainder when n is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.780522187549 take away 0.3?\nAnswer: -1.080522187549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10617345*s**3 - 46495299 with respect to s.\nAnswer: -31852035*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.222861 millilitres in litres?\nAnswer: 0.002222861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 10094\/(-206)*(-2)\/(-21)*-3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 336264.4 millennia?\nAnswer: 4035172800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l**4\/5 + 252704*l**3\/5 - 52*l**2\/5 - 3285104*l\/5 + 3032448\/5 = 0 for l.\nAnswer: -63176, -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the second derivative of -f**4\/6 - 2*f**3\/3 + 3*f**2\/2 + 28*f. Let j be 1\/3 + (-4)\/(-6). Let x(k) = -k + 1. What is j*r(n) - 2*x(n)?\nAnswer: -2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -aa4 + 2?\nAnswer: -aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*f - 130 + 130. Let m(q) be the third derivative of -1\/6*q**5 + 0*q - 1\/15*q**6 + 0 + f*q**3 - 11*q**2 - 1\/6*q**4 - 1\/105*q**7. Factor m(n).\nAnswer: -2*n*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 691.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 125654023 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: What is the nearest to -74 in 12, -2, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the third derivative of 0*u + 2*u**2 + 0*u**4 + 0 + 1\/2*u**3 + 1\/30*u**5. What is the first derivative of m(k) wrt k?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 455656830.\nAnswer: 2, 3, 5, 15188561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of 203125615143364 and 0.3.\nAnswer: 203125615143364.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1003231 - 200113?\nAnswer: 203112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 0 - 18*z + 5 - 5*z as o*z + k and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -81 + 82. Suppose 0 = -8*t + y + 15. Put 0, t, -3, -10 in decreasing order.\nAnswer: t, 0, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8115301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b + 550 + 206 = 0. Let d = b + -110. Solve 4*a = d, 5*a - 12 = 4*u + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2\/13  (b) -3\/5  (c) -2.2245\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -3009, -6002, -8985, -11958, -14921, -17874, -20817?\n\"Answer: 5*h**2 - 3008*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3331 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence byn when three letters picked without replacement from {y: 1, n: 2, b: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3865\/33 + 1281\/11. What is the closest to 2\/15 in -1, t, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*3\/6*7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - 1) + -15 + 21 + -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 771674?\nAnswer: 2, 385837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 421644624.\nAnswer: 2, 3, 8784263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15 - 10. Let l = -0.1 - 0.4. Which is the third biggest value?  (a) d  (b) 0.2  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 - 45. Let h = 11 - y. What is the greatest common factor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of 3*g**3\/2 + 5*g**2\/2 - 776*g. What is f(7)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, 0.16, 525949, 1?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiaiia. What is prob of picking 2 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**3 + 5*q**2 - 8*q + 2. Let d(h) = -h. Let z be 28\/((-8)\/(-2)) + -8. Let u(o) = z*x(o) + d(o). Give u(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -9 + 2 - -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 b, and 1 m when three letters picked without replacement from mbdbmbbbmydb.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1\/(-2)*(-11 - 3)*(4283 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 6*p + 9. Let s be ((-2)\/(-6))\/(2\/24). Is 9 a factor of j(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 - -2 - (-15 + 28 + -21)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-15)\/(-6))\/((-46)\/(-24) + 16\/(-24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22768 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2450816*-0.2.\nAnswer: 490163.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -802 - 8628*u**2 - 8335*u**2 + 802 + 14156*u**2.\nAnswer: -2807*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:53 PM and 2:52 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8 - 12. Let d be (-39)\/(-21) + g\/(-28). Solve 20 = d*i + 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11 - 10. Which is greater: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + 3*3*sqrt(7) + -1 + (2*(2*sqrt(252) - sqrt(252)) - sqrt(252)))*4)**2 + 5.\nAnswer: -2880*sqrt(7) + 25781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/((s**(-9)\/s)\/s))\/s)\/s)\/s*s**(7\/2) assuming s is positive.\nAnswer: s**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20 + 2211201100021?\nAnswer: 2211201100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*d**2 - 6 + 2 - 2 + 0*d**2 in the form m*d**2 + x*d + f and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 21304509439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(84)\/(sqrt(108)\/sqrt(36)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 4*j**3\/5 - 43904*j**2\/5 - 8303056*j\/5 - 16430464\/5 = 0.\nAnswer: -184, -2, 11162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/80*-2)\/(9\/5).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 81440 and 640?\nAnswer: 325760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 - 1 + 3 - 5 + 3 + (2 - 5 + 2)*(-1 - 1 + 4) + 3 + 0 - 2 - 1 + 3 - 1 + 0 - 4 + 3 - 5 + 4 - 1)*(-3 + 3 + 10*i)*(i**2 + 0*i**2 + 0*i**2).\nAnswer: -70*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 36*o - 456. Calculate the remainder when p(16) is divided by 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from toguntn. Give prob of picking 1 u and 2 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*n = -954 - 142 + 216 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0.043  (b) 1\/2  (c) -0.264  (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9\/6*4\/6. Suppose 5*b + 5682*d = 5686*d + 18, 10 = 3*b - 2*d. Sort b, g, 5, -9 in decreasing order.\nAnswer: 5, b, g, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -5.787 and 48.\nAnswer: 42.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1311 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + 1546661?\nAnswer: 1546653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1219\/7150 - -17\/325. Calculate the common denominator of -26\/33 and y.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 256 in -4, -2, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/7*(-42)\/(-36)*-12)\/3?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.85436 + 0.14564. Put -3\/17, 12, -1\/6, s in ascending order.\nAnswer: -3\/17, -1\/6, s, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -98\/929 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -51.2251 * 50\nAnswer: -2561.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = 4*z - z. Let u be (z\/(-140))\/(2\/(-15)). Let i = -0.2 - -0.4. Is u at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 + 4.1. Let s be ((-142)\/(-16) - 9)*-2 - (0 + 1). Which is the nearest to i?  (a) -1  (b) -3  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**0*f*f*(f*f\/(f*f\/((f\/f**(-2\/13))\/f))*f)\/f*f)**(-25)*(f*f*f**(-5)\/f*f*f**6)**(18\/13) assuming f is positive.\nAnswer: f**(-1296\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**5 + 2*t**3 + t**2 + t - 1. Let o(s) = 43*s**5 - 6*s**3 + 3*s**2 - 3*s - 7. Let y(b) = -o(b) - 3*w(b). Find the third derivative of y(j) wrt j.\nAnswer: -2400*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 6*t - 43. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 33*k**2 + 20*k - 5. Let v(u) = -874*u**2 - 532*u + 133. Let h(x) = 133*n(x) + 5*v(x). Let z(r) = 2*r + 0 + 0 + 0*r. Determine z(h(b)).\nAnswer: 38*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3904 is divided by 1298.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100042211 (base 5) to base 7.\nAnswer: -3226013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -5*u**2 - 2596*u + 141686. Calculate h(-569).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1732640 by -884.\nAnswer: -1960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(42) - (2*sqrt(1050) + sqrt(1050) - sqrt(1050)))\/(sqrt(54) - sqrt(864)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2 and 113?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 + d. Let j be t(0). Suppose 3*v - 11 - 4 = 0. Let z be (10\/25 - 2)\/((-2)\/v). Solve j = h + 3*h + z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45 divided by -2133916.\nAnswer: -45\/2133916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -30 and -4157.\nAnswer: 124710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.9418 - -1.14835. Let w = -0.2 + i. What is w rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4b + 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -5  (b) -158  (c) -4  (d) -3\/5  (e) -2  (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x**5\/2 + 165*x**4\/2 - 1539*x**3 + 3886*x**2 + 324*x - 5184 = 0. Calculate x.\nAnswer: -1, 2, 18, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5783331?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 24226959 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d - 2. Let n(f) = -2. Let m(z) = -5*n(z) + 4*v(z). List the prime factors of m(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 28233438?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 242 + 33571?\nAnswer: 34033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (3 - (-11 + 11 + 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -o**2\/8 - 61*o\/8 + 38875\/4 = 0. What is o?\nAnswer: -311, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 65857 (base 11) to base 12.\nAnswer: 4734b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * -247099464.\nAnswer: -247099464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15824 = 196*w + 148*w for w.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the third derivative of -f**5\/60 + f**4\/12 + f**3\/2 + 10*f**2. Factor y(j).\nAnswer: -(j - 3)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:53 AM and 10:10 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and -40.824?\nAnswer: -81.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 199986590 to the power of 1\/2, to the nearest integer?\nAnswer: 14142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/618 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -23\/6 - -4. Let c(x) be the third derivative of 0 + 0*x + 1\/12*x**4 - u*x**3 - 3*x**2. Differentiate c(f) wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y + 5*y + 1 - 4*y)*(3*y**3 + 3*y**3 + y**3).\nAnswer: 7*y**4 + 7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.074, -1\/6, 0, 0.047, 2\/5?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.04, -4, -5 in ascending order.\nAnswer: -5, -4, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -13211 divided by -4683?\nAnswer: 13211\/4683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/4, -3\/5, 0.4, -4, 62?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-11 - -10)*13*-41. Calculate the greatest common divisor of 41 and z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -r - v, 2 = r - 2*v - 3. Solve x - 17 = -5*j, -r - 10 = -5*j + x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -l**2 - 10*l**3 - 75 + 75 - 21*l**3 to p + b*l**3 + d*l**2 + k*l and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange x**4 - 26*x**3 - 7*x**4 + 22*x**3 - 3*x**2 + 3*x**4 to g*x + d*x**3 + u*x**2 + v*x**4 + k and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -5540*r**2 - 1. Let h(w) = 16*w - 1. Determine h(o(i)).\nAnswer: -88640*i**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 5 + 2 = 0. Let j(f) = 3*f**2 + 2*f + 1. Let c be j(z). Suppose c*w - 1 = w. What is the smallest common multiple of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 + 8*x**2 - 6*x + 4. Suppose 18*b - 31 - 95 = 0. Let w be u(b). Solve 2*m = w - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7022a1 (base 13) in base 5?\nAnswer: -1131311124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*q + 5 = -12*q, 2*h - 29 = 5*q. Find the third derivative of -h*g**2 + 163*g**5 + 20 + 323*g**6 - 325*g**6 + 19*g**2 wrt g.\nAnswer: -240*g**3 + 9780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide (-5 - -7)\/(1\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + (sqrt(77)*-4)\/sqrt(11) - sqrt(7))**2*-5 + 4.\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0\/(-1))\/5*(-3)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1798 + 12323. List the prime factors of c.\nAnswer: 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 38*m**3 - 190 + 42*m - 36*m**3 + 183 to the form t*m**3 + j*m**2 + f*m + c and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 9115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, 4, 37, -181435?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 73138 and 520.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q - 3850 = -4*q + p, q - 2*p = -1281. Are q and -1284 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13452088619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(16) + sqrt(48)\/sqrt(3)))\/((sqrt(48)\/sqrt(8)*-6)\/sqrt(3)))**2.\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*d + d - d - 4*d + 3*d - 3*d - 2*d - 2*d + 2*d + (-2*d - d + d)*(-1 - 1 + 3).\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 >= -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 + 2*g + 6. Suppose 6*a - 1 = 5*a, 24 = -2*f + 4*a. Let w(u) = u**3 + 9*u**2 - 11*u - 14. Let i be w(f). Calculate j(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 2 k when four letters picked without replacement from ikkikkikikk.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i. Let q = 145 + -112. Let a be ((-22)\/q)\/(6\/(-9)). Let r(n) = -2*n - 7. Let w(o) = o + 2. Let v(c) = -2*r(c) - 7*w(c). Calculate a*v(u) + 2*g(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9011, -18239, -27683, -37343, -47219, -57311, -67619?\nAnswer: -78143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 59741057102 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 663407080?\nAnswer: 2, 5, 7, 338473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**2 + 5*s - 1. Let x be k(3). Let i = -94\/3 - -31. Which is the second biggest value?  (a) i  (b) 3  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -225 - -225.137. Let u = x + 1.863. What is the closest to u in -0.3, 10, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = p + 4 - 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the second derivative of d**3\/2 - 44*d + 2. What is o(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*n + 41 + 77 + 19 - 25*n**2 - 14*n**3 + 25*n**2 wrt n.\nAnswer: -42*n**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 16*o**2 - 226*o - 150. Is w(46) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25*f + 42*f + 21*f)*(1 + 6*f**2 - 5*f**2 - 4).\nAnswer: 38*f**3 - 114*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2088 and 443816?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 105055551 - 1?\nAnswer: 105055550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 16 = 2*s. Suppose -1 = -d - 2*x + 5, 0 = -s*d + x + 69. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77*y = -73*y - 112. Let q(o) = -o - 27. Let g(v) = -v. Let a(h) = -g(h) - q(h). Calculate the remainder when y is divided by a(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**2 + y - 3. Let x be i(2). Solve q + x = 6, 0 = -5*w - 4*q + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -100926*x. Let l(q) = -129*q. What is f(l(y))?\nAnswer: 13019454*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 238 and 20457290?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -147 and 436?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 + -12424?\nAnswer: -12421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*b + 0*b + 0*b + 0*b + 4*b - b + (-26 + 1238*b + 26)*(1 - 2 - 1) to the form d*b + y and give d.\nAnswer: -2475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 3*q**3 - 1 - 4*q**3 + 3*q**3 + 3*q**3 + (-1 + 0 + 3)*(-q**3 - 2*q**3 + 5*q**3) - 2*q + 3*q**3 + 2*q + 3*q - q - 3*q - 4*q**3.\nAnswer: 2*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 60, 111, 132, 105, 12, -165?\n\"Answer: -3*a**3 + 3*a**2 + 63*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 7*x - 3. Let h be z(-3). Let v be (h\/(-9) - 2) + -2. Let a = -3 - -4. What is the biggest value in 4, v, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -5, 12, 1 in descending order.\nAnswer: 12, 6, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -84 - -248. What is the remainder when j is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/(-81)*(165\/(-25))\/(-11)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8 - -29. Suppose 4*f = h + j, 3*h - 5*f + 75 = -2*h. Let z = h + 61. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8012469.\nAnswer: 3, 1009, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5941524*c**2 - 192601*c?\nAnswer: 11883048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 383983 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 + t**2 - 3*t + 2. Let i(x) = -3*x - 2. Let a(y) = 14*y + 7. Let r(m) = -a(m) - 4*i(m). What is 2*h(g) - 3*r(g)?\nAnswer: 2*g**3 + 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j - 1. Determine a(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -226367, -905988, -2038693, -3624482, -5663355, -8155312, -11100353?\n\"Answer: -226542*o**2 + 5*o + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - v + 2 = -6*v, 3*v = -12. Suppose -5*n = 36 - m. Let h be 0 - (-1 + 2) - 6. Which is smaller: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -4*f - 752, -2*f + 948 = 5*p - 3*f. Let v = p - 280. Is (-12)\/v - 12313\/(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 516, 2103, 6132, 13737, 26052?\n\"Answer: 189*a**3 + 87*a**2 + 3*a + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 24648, 49293, 73938, 98583, 123228, 147873?\n\"Answer: 24645*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 535 divide 235082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -434029, -868078, -1302139, -1736218, -2170321?\n\"Answer: -c**3 - 434042*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 3 - 7 + 5*z + 5*z + z**2 - 8*z. Calculate the smallest common multiple of c(-5) and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -139866 and -0.45.\nAnswer: 62939.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.162 in -209, 5, 6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 36 + -26. What is the lowest common multiple of 72 and 54\/7 - o\/(-35) - -2?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 30589\/16110 + 2\/1611. Calculate the common denominator of 1 - 80\/44 - 3 and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the first derivative of -2*d + 1\/2*d**2 + 14. Calculate f(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vnttttzeveenvzvvvz. Give prob of picking 1 v, 1 e, and 2 t.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k**5\/5 + 132282*k**4\/5 - 4101736*k**3\/5 - 4366298*k**2\/5 + 820347*k + 4234016\/5 = 0. Calculate k.\nAnswer: -132313, -1, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-189 + 189 + 18*r**3)*(-2*r + 4 - 4)*(2 - 6 + 5).\nAnswer: -36*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -24  (b) -5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h + 8*h = -20*h - 33 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31247 is divided by 2856?\nAnswer: 2687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 4*l**3 + 2*l**2 + 2*l + 1. Suppose 26 = 2*w - 28*w. Calculate a(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-10) - (-44)\/10. Suppose 0 = 3*j + 2*b - 223, -5*b = -w*j - 0*b + 305. Suppose 4*h - 25 = j. Calculate the remainder when 97 is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -3, 11\/3, -1.\nAnswer: -3, -1, 2, 11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1054 + 100?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -173\/3 + 57. Let g = -104 + 3014\/29. Which is the nearest to -1?  (a) g  (b) i  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101010100101000000 - -110101111011?\nAnswer: -101001101111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -5*a - 4*p, -4*p = 43*a - 46*a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6952\/1484252)\/((-2)\/7).\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/315*3*-85*8\/(-24)*21?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -92*i + 715209 = 226229. List the prime factors of i.\nAnswer: 5, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((7 - 8) + 196)*(-12)\/(-10). Suppose 6*f + t = -3*f. Calculate the common denominator of 97\/62 and f.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3.8?  (a) 23  (b) 0.3  (c) -13\/6  (d) 0.11  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 14786, -0.66, -34?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 34 = -3*u, 14*p - 17*p = -3*u + 51 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 4538 = -4823. Calculate the remainder when -78*(52\/(-18))\/(12\/18) is divided by k.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrs when three letters picked without replacement from {f: 2, s: 1, r: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(5)*2 + (2*sqrt(5) + 1)**2 - (sqrt(180) + (sqrt(180)*3 + 3)**2).\nAnswer: -1611 - 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12612 - 12611.991574. Round p to four decimal places.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r - 33 = -5*r. Suppose -50 - 31 = -y + r*a, -4*y - 2*a = -366. Is y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 106 + ((-69 - -37) + 19 - (-7 + -2))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/240 and -13\/90.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the first derivative of -11 + 0*q + 7\/2*q**2 + 0*q**3 - 7\/2*q**4. What is the second derivative of b(k) wrt k?\nAnswer: -84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -598495, 3, 2.\nAnswer: -598495, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 28958.25 millilitres?\nAnswer: 28.95825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (258 + -251 - (13 + -1) - (1 - 10)) + 15?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2113485864?\nAnswer: 2, 3, 7, 12580273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**2\/3 + 4808*v + 14428\/3.\nAnswer: -4*(v - 3607)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -429, -630, -831, -1032, -1233?\nAnswer: -1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i = 4*p - 24 + 11 + 15, -7 - 2 = i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -3*u. Let m be ((-2)\/(-1) - 4) + 1. Determine a(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that 288*a**4\/7 - 24112*a**3\/7 + 17314*a**2\/7 - 4154*a\/7 + 332\/7 = 0.\nAnswer: 2\/9, 1\/4, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -13541\/6 - -2234. Find the common denominator of -91\/50 and u.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5057354?\nAnswer: 2, 431, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 6 = k, w + 32 - 48 = -9*k. Let n(m) = 10*m**3 - 2*m**2 - 2*m - 1. Let f be n(-1). Let d = -6 - f. Solve k*q + d = 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**2. Let n(u) be the second derivative of -2*u + 0 + 0*u**2 + 0*u**3 - 1\/4*u**4. What is o(n(z))?\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes before 7:58 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + q - 2 = 2, c + 2 = 2*q. Suppose -3*i = c*w - 21, -5*i + 4*w + 39 = -18. Let g = i - 8. Calculate the highest common factor of 1 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 325800187.13000261 + -325800182. Let o = f + -5.13. Round o to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 59*k**2 + 10*k + 1. Let s be x(-7). Let o = 8119 - s. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**2 - 7*w - 6. Let a be z(-7). Let b be (a\/1)\/((-6)\/(-4)). Let u be (b - -3)\/(2\/(-10)). Sort 1, 2, u.\nAnswer: 1, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 12 - 12 + 5*v**3 + (-2*v + v + 3*v)*(1 - 1 + 2*v**2) - 3*v**3 - v + v.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(3 + (sqrt(1088) - ((sqrt(1088) + 1)**2 + -5))) + -1*(sqrt(1088)*-3*2)**2*-5.\nAnswer: 48*sqrt(17) + 202326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 16670 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -2*b + 7*b. Solve -b*a - 23 = -3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 329*u**3 - u**2 + 4*u - 4. Is 39 a factor of r(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/4219 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - h - 2*h**4 - 8816*h**2 + h**3 + 8061*h**2 + 0 - 2*h**3 as o*h + p*h**3 + m*h**2 + z*h**4 + j and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes before 2:23 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001345135 to six decimal places.\nAnswer: 0.001345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -1411778 < -1411778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 4, 2\/7, -7, 5, -1, -3\/10?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 - -4. Let j = x + 2. Let m be 5\/(-2)*-1*(-4)\/(-5 - -1). Which is the closest to j?  (a) m  (b) -0.4  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 156 a factor of 1147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 2*l - 1. Let d be s(3). Let w be 0*((-20)\/8)\/d. Which is the nearest to w?  (a) 2\/5  (b) 1\/3  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -58*z - 1464. Let i be s(-26). Calculate the highest common factor of i and 360.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13635463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmjjjjjjjtjtj. What is prob of sequence mmtj?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - -5. Suppose -2 - 6 = -y*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*x**3 - 109 - 111 - 5*x**3 + 219 - 48*x to the form s*x + z*x**2 + h + d*x**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**2 - 6*u + 39. Let i be r(0). Suppose -10*l = i*l - 980. What is the greatest common factor of 260 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (35*s + 353 - 353)*(3*s - s + 4*s) + 2*s**2 - 2*s**2 - 2*s**2 + (0 + s + 0)*(4*s - 4*s - 4*s).\nAnswer: 204*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1260904 divided by 5.\nAnswer: 1260904\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -96169, -96139, -96091, -96025, -95941, -95839, -95719?\n\"Answer: 9*x**2 + 3*x - 96181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -181730 divided by -5.\nAnswer: 36346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1699\/210 + -114\/35. Let x(s) = 92*s**3 + s**2 - s. Let c be x(-1). Let w = c + 1699\/18. What is the common denominator of l and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-8)\/(-4)*(-166)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-1*sqrt(1088)*6 + (sqrt(1088) - -1*(sqrt(1088)*1 - sqrt(1088)))**2 + -1).\nAnswer: -192*sqrt(17) + 4348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 26 + -51\/2. Let x = 0.1 + -0.4. What is the closest to 1 in v, -0.1, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5696.7, 2, -3\/10?\nAnswer: -5696.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 2*i = -19. What is the remainder when i is divided by 3\/(-9) + (-31)\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**3 + 8*s**2 + 7*s + 9. Let u be b(9). Let f = 16 - u. Calculate the highest common factor of f and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89*q - 95*q + 114 = 0. Suppose -q*r - 195 = 204. Is -1\/5 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 55743539.\nAnswer: 1\/55743539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -2*t - 12. Let v be c(-9). Let m(k) = 18*k**2 - 3*k - 6. Let h be m(v). Suppose 7*q + q = h. Is q a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 223291?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c. Let l(f) be the second derivative of -17 - 9*f**3 + 0*f**3 + 8*f**3 - f + 0*f**3. Determine l(s(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - -2 - 5) + (-35 - -39)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -4*m - 9 - 23, -4*f + 17 = -m. Let i(x) = -x**2 - 5*x + 1. Let d be i(m). Let v = -5 - -5. Sort v, 4, d.\nAnswer: v, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*c + 4*f + 0*f = -102, -5 = 4*f - 0 + 7 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + -21 + 155 - 28 - (-4 - -24)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -868, -4, 8, -1, -13.\nAnswer: -868, -13, -4, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 210 = 4*x - 250. What is the highest common divisor of 23 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 91*o**5 + 3*o**2 - 108*o - 2. Let r(x) = x**5 - x**2 - x + 2. Let n(p) = -g(p) - 2*r(p). What is the second derivative of n(q) wrt q?\nAnswer: -1860*q**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence axax when four letters picked without replacement from {a: 2, x: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 55\/(-75) + (-3)\/(-5). What is the nearest to -1 in -0.1, b, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:40 AM and 11:56 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**3 + 8*p**2 - 3*p + 6. Let i be g(-4). Let v = i - -183. Is v a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -81 + 113. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 116*r**2 + 2*r - 3. Let s be c(1). Suppose 0 = 3*w, 2*w - 17 = -4*j + s. What is the remainder when j is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 5*g - 6 = 0, 4*q + 8 = 2*g + 7*g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (w + w - w)*(-52*w - 2547*w**2 + 8 + 24*w - 41*w + 69*w) in the form n + l*w**3 + y*w**2 + r*w and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**2 + q - 1. Let x(g) = 66*g**3 + 6*g**2 - 6*g + 6. What is x(r) + 6*y(r)?\nAnswer: 66*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6 and 40764.\nAnswer: -244584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s**5 + 9870*s**4 - 12142516*s**3 - 85373060*s**2 - 134279082*s - 61058410 = 0.\nAnswer: -5, -1, 2471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2, 3, -56040\/11, -19, -18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -211 - -209. Let h = -15.7 - -15.7. Which is the nearest to 1\/3?  (a) s  (b) 2  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 - 3*l - 13. Let z be j(6). Let c = 2 - 1.95. Let r = c + 0.35. Put r, 0.1, z in increasing order.\nAnswer: 0.1, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000276980859 rounded to seven decimal places?\nAnswer: -0.0000277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the second derivative of -d**5\/20 + d**4\/2 - 7*d**3\/6 + 3*d**2 - 3*d. Let a be -4 + 16\/(-1 - -3). Does 7 divide k(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:15 PM and 7:52 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.1477 and -0.2.\nAnswer: -0.0523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*p - 29 - 39 = 0. Let g be (p + -1)\/(-12) - 2928004\/(-16). Round g to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 17*c**3 + 4*c**2 - 9*c. Let m = 2 + 0. Let v(f) be the first derivative of f**4 + f**3\/3 - f**2 - 48. What is m*x(d) - 9*v(d)?\nAnswer: -2*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 30\/11 + -32\/11. Let v be (-15)\/5 - (-3)\/2. Which is the nearest to 1?  (a) v  (b) o  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 2 + sqrt(1872) - -3*(sqrt(1872) + 1) - (1 + 3*sqrt(1872))*-2)*-3.\nAnswer: -360*sqrt(13) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (37 + -9 - 13) + -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 217*k - 687. What is the tens digit of x(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -280024 + -34.\nAnswer: -280058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 7471.488mg in nanograms?\nAnswer: 7471488000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0011153728766 rounded to five decimal places?\nAnswer: 0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of -u**3 + 7. Let b(k) = -3*k. What is b(i(c))?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 52495 or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the first derivative of -4*z**5\/5 + 3*z**4 - 4*z**3 + 2*z**2 - 27. Factor f(v).\nAnswer: -4*v*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 4*x - 30. Let u(b) = -3*b + 29. Let p(m) = -3*u(m) - 2*y(m). Let w be p(6). Is 3\/w - 19856\/(-28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 11*g**2 - 5*g**2 - 2539 + 970 - 8*g**2 - 617*g wrt g?\nAnswer: -4*g - 617","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes before 1:58 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 109, 84, 7, -152, -423?\n\"Answer: -5*k**3 + 4*k**2 - 2*k + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 147 - (-82 + 95 - -100).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1554 and 0.3.\nAnswer: 1554.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 take away -774.9?\nAnswer: 775.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -323\/7 - -46. Find the common denominator of -93\/2 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes before 1:01 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1593, -6, 52, -13.\nAnswer: -1593, -13, -6, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2061.89276 + -2062. Let q = -0.104 - w. Round q to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 11, d: 1, w: 1}. Give prob of sequence wd.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -36937 - -37049. Which is the third biggest value?  (a) 0.2  (b) 2\/5  (c) i  (d) 5  (e) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/7)\/(9\/(-108))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 199125603.\nAnswer: 3, 347, 63761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y - 14 + 34 - 4*y**2 - 16 + y**3. Let l be o(4). Solve 3*q - h + 5 = 0, q + 2*h - 6*h - 2 = l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p**5\/9 - 22*p**4\/9 - 22*p**3\/9 + 238*p**2\/9 + 80*p\/3 = 0. What is p?\nAnswer: -8, -5, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17346?\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*j + 9*h - 4*h - 13, 4*h - 12 = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15214, 15275, 15370, 15493, 15638, 15799, 15970, 16145?\nAnswer: 16318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-56)\/35 - 3 - -4.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2605 divided by 2605?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/6)\/((-7)\/(-42)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24882923.\nAnswer: 13, 431, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 379985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 37 + -53. Let i = q + 28. Let y be 6\/(-10)*(-5 - (-5 - -10)). Solve p = y*p + a - 9, -3*a + i = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -11*o - 54. Calculate the remainder when 87 is divided by (-2 + o\/(-9))*-33.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3\/3 + 17*o**2\/3 + 22*o + 24.\nAnswer: (o + 2)*(o + 3)*(o + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**3 + 25*n**2 + 22*n - 44. Let b be g(-24). Solve -b = 4*s + 5*l, 3*s + 3 + 0 = 5*l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -3*l + l - 16, 2*l = -3*r - 4. Suppose r*i - 82 = 5*u + 65, 0 = -i + 3*u + 71. List the prime factors of i.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 85 and 204?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -653892 divided by 39?\nAnswer: -217964\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -78 + 78. Let z = -97 - -155. Is w not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 4*a - 7 - 11, 4*q = 2*a - 42. Let u be 1 + (-4)\/1 + 4. Let o be (u*18)\/(q\/(-11)). What is the greatest common factor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 312*m**2 + 878*m + 5321. Is 7 a factor of z(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/7, 430431, -0.2, 4, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*n + n + 1 - n + 3*n to q*n + j and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 96 and 65715018?\nAnswer: 1051440288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 10 - 11*v)*(-2*v**2 + v**2 + 0*v**2) + (2*v + 3*v - 3*v)*(-8*v**2 + 40*v**2 + 3*v**2).\nAnswer: 81*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 366 - 364. Suppose -2*n + 11 = 3. Which is the closest to w?  (a) 0.2  (b) n  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 998 a factor of 2847857870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*i - 83 + 74 = -69. Solve -6 = -3*b + s - i, 4 = -4*s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -3*k. Let v be c(4). Let j be ((-2)\/(-6))\/((-2)\/v). Sort j, -5, -1 in decreasing order.\nAnswer: j, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 10\/9 of a week?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.5, 412, -0.7, -0.018?\nAnswer: 412","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m**2\/4 - 103*m\/4 - 101\/2 = 0.\nAnswer: -101, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -161622344 (base 7) to base 16.\nAnswer: -a6c829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the first derivative of 305*o**2\/2 - 558. Let a(y) = -2*y**2. Give k(a(m)).\nAnswer: -610*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2 - 13*y - 21. Let d be k(14). Let q(i) = -i - 5. Let t be q(d). Solve -t*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2586187.69 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 12 = -o. Let z be ((72\/15)\/4)\/(1\/5). Let a be 4\/z + 130\/39. Is o at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-10)\/(-4)*24\/10. Solve j = -c + n, -5*j + c + 3*c = 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:30 PM and 10:38 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 54618383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -5*x**2 - 55307800*x + 55307805 = 0.\nAnswer: -11061561, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/20*(-224)\/(-28).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -317*m + 73184. What is d(231)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(1\/2)*v*v)\/v*(v\/(v**(4\/7)\/v))\/v)\/(v**(2\/3))**(-5\/3)*v**(-7)\/(v**(2\/3)\/v)*(v\/((v\/v**8)\/v))\/(v\/(v*v**(1\/2))) assuming v is positive.\nAnswer: v**(370\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 7.162076 centuries?\nAnswer: 716.2076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-39 + 34 - (2 + -15)) + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 5*l**2\/4 + 3000*l + 1800000 = 0.\nAnswer: -1200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 121204 - -34222?\nAnswer: 210431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 819845 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: 12 times 0.276\nAnswer: 3.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1001932091 to six decimal places.\nAnswer: 0.100193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -78 + 101. Let y be (-115)\/g + 3*3. Solve 2*d + 14 = y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 3*x**3 - 6*x**2 + 6*x - 6. Let o be f(4). What is the greatest common factor of 19 and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -863307665 - 500.68.\nAnswer: -863308165.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -142a288 (base 14) in base 10?\nAnswer: -9785616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/(28\/424)*(-48)\/96?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.009978746 rounded to 5 dps?\nAnswer: -0.00998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 846 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23677 is divided by 68?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32178 = -6*p + 32286 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and -1.85452?\nAnswer: 3.70904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -2*a**3 - a**2 - 6*a - 7. Let w(j) = 26*j**3 - 5*j - 15*j**3 - 2 + 6*j - 3*j - 12*j**3. Suppose 0*o + o - 2 = 0. What is o*m(g) - 7*w(g)?\nAnswer: 3*g**3 - 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7801.589 millilitres in litres?\nAnswer: 7.801589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/(k**4\/k*k)*k**(1\/9))\/((k*k*k\/(k\/k**0*k)*k)\/((k**(4\/9)*k)\/k))*(k**(-1\/3)\/k)**11*k*k*k**6\/k*k**(-8)*k*k assuming k is positive.\nAnswer: k**(-154\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 58507\nAnswer: 4\/58507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -289313570 divided by -71630\nAnswer: 4039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*b**2 + 7*b**3 + 6*b - 13*b**3 + b**2 in the form p*b**3 + m*b**2 + c*b + r and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 36 - 32. Differentiate 2 - 3 + 208*g**z - 226*g**4 wrt g.\nAnswer: -72*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -4*d + 10*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -207*r + 54 + 5378 + 1154 = -281*r for r.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.0739 + 22.7461. Let x = 22 - s. What is x rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -19 - (2 + -14 + 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 2*z - 5. Suppose 539 = -95*r + 62*r + 82*r. Calculate the common denominator of r and y(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*i**4 + 2*i**4 + i**4)*(-i - 5*i + 0*i) + (-7*i**3 + 4*i**3 + 32*i**3)*(-i + 0*i + 2*i + 3*i**2).\nAnswer: 93*i**5 + 29*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/2)*v**(-3\/7))**50 assuming v is positive.\nAnswer: v**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -826455, -826398, -826339, -826278, -826215, -826150?\nAnswer: -826083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = 2*h + 7, -h - 2 = 2*h - f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 58131357, 58131359, 58131361, 58131363, 58131365?\n\"Answer: 2*b + 58131355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/9, 3, 1\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (2381 - 2381 - 58*d + (-1 + 0 + 3)*(-3*d + 0*d + d))*(-3 - 2*d + 3) in the form l + k*d + v*d**2 and give v.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/8 + 1372\/(-208). Let n be (-1)\/((-493)\/584 - -1). Let d = n - r. Which is bigger: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 846747 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j**4 + 4*j**4 - 5*j**4)*(7 - 4 + 5 + (5 - 4 - 2)*(-1 + 4 - 1))*(537*j + 1 + 763*j - 1737*j).\nAnswer: -2622*j**5 + 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -195 + 174. Let h be (6 + 0\/(-8))\/7. Which is the smallest value?  (a) 2  (b) n  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 315419 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 5 = -4*w. Calculate the remainder when 110 is divided by (0 - w)*140\/(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11 - -8. Let n be 1 - 2 - -2 - v. Let t be (-17 + 17)\/(-5 - -4). Solve n*d = -t*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 153*r - 33*r**2 - 4480 - 36*r**2 + 191*r + 98*r**2 - 33*r**2 = 0. Calculate r.\nAnswer: 16, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/5?  (a) 2\/19  (b) 56  (c) 6.9  (d) -0.1  (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36926.\nAnswer: 2, 37, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -111, -206, -301, -396, -491, -586?\n\"Answer: -95*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 958.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 + 151?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19560887 is divided by 850473?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add together -842.12 and 65.33.\nAnswer: -776.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of x**4\/72 + x**3\/12 - x**2\/3 - 38*x - 2. Find t such that b(t) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 2*t - 460 = -2*y, -3*t - y + 1410 = 0. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4 - 2)*(-1)\/2. Suppose 356*l - 3187 - 11765 = 0. What is the greatest common factor of p and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 3*d - 12. Calculate p(11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3 - 10*j**2 - 5*j + 98. Let l = 161 - 58. Suppose 0 = -4*v + l + 49. What is the remainder when d(-10) is divided by v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1007336?\nAnswer: 2, 11, 11447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 484663955?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.152 + -199177587517.\nAnswer: -199177587517.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 342318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 1629 divide 25229558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 944771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -2) + 55 - (10 + (-8 + -40 - -31))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -64120 (base 10) in base 7?\nAnswer: -354640","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let y = -3128 - -3312. Calculate the smallest common multiple of y and 214.\nAnswer: 19688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oox when three letters picked without replacement from {o: 2, x: 2, k: 3, j: 4}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - 0 - ((10 - -1) + (95 - 50 - 144))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (6\/24)\/((5\/15)\/((-4)\/3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/4 of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 92.03 - 92. Let x = z - 0.051. Which is the third smallest value?  (a) x  (b) -0.1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**2 - 4*z - 3. Let m(y) be the third derivative of -y**5\/60 + y**4\/4 + y**3\/3 + 4*y**2. Let d be m(6). Let t be 28\/(-8) - d\/4. Give p(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 37548 times 0.1\nAnswer: 3754.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -817, -1633, -2451, -3271, -4093?\nAnswer: -4917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 3*s = -3*w - 1460995, 2*s = -4*w - 1948002. Round w to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + n + 45 = 0, 3*m - 2*n - 33 - 34 = 0. Suppose -4*v + 6*v + 3*b = m, -4*b = 3*v - 32. Solve -4 = -0*d - 2*d - 2*j, v*d - 4*j = 32 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 6 + 6. Let d(m) = -f*m + 3 + 4*m - 2*m. Let x be d(-5). What is the highest common divisor of 56 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-7)\/70*2*4\/6. Let y be 21\/((-2)\/8*-4). Let z = -29 + y. Which is the third biggest value?  (a) m  (b) z  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the first derivative of -j**3\/9 - j**2\/2 - 24. Solve w(d) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000212 rounded to seven decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 5) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 3*s**4 + 42*s**3 + 27*s**2 - 168*s - 156 = 0.\nAnswer: -13, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - m - 24 = -0*p, -3*m + 132 = 23*p + 22*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (((-8)\/12)\/(-2))\/(2 + -5)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 11*o**3 - 45*o**2 + 11*o - 27. Determine x(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 2*o**2 + 11*o - 23. Let i be m(-14). Let c = -133 + i. Calculate the remainder when c is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1827, 1909, 2029, 2175, 2335, 2497?\n\"Answer: -2*h**3 + 31*h**2 + 3*h + 1795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 2*m. Let n(r) = -2428*r**2 + 2*r + 2. What is n(q(d))?\nAnswer: -9712*d**2 + 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -718 - -1416. Let a = -441 + d. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10111 (base 2) to base 7\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -38*f**2 + 2*f + 31. Let m(j) = -24*j - 2. Determine u(m(g)).\nAnswer: -21888*g**2 - 3696*g - 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 4 + -3 - (-1 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -356, -386, -440, -518, -620?\nAnswer: -746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes before 6:59 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 650 - 388. What are the prime factors of s?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000013937779 rounded to seven decimal places?\nAnswer: -0.0000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-340)\/(-90) + 4\/18. Let n = q - 131\/33. Suppose 4*m + 3*z + 5 + 4 = 0, -12 = -5*m + 4*z. Which is smaller: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -2*f + 6*f + 6, 4*f + 8 = -4*g. Solve s = -1 - f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -530 - -260. Is v\/(5 + -7) - 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*i**4 + 15757*i**3 + i**2 + 2*i + 178814?\nAnswer: -96*i + 94542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -25 - -25.042. Let l = z - 0.112. Let n = 19.4 - 18.4. Which is the closest to l?  (a) 2  (b) -1\/2  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1)\/(-2))\/(2\/8). Suppose -5*f + 23 + 2 = -w, f = 5*w - 19. Let h be 170\/(-30) + 4\/f. Sort h, q, 3 in increasing order.\nAnswer: h, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbibqbbbdiid. What is prob of sequence dq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*(l*l**(-7)*l)\/l)**(40\/9) assuming l is positive.\nAnswer: l**(-200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = 3*v - 7*z, -5*v - 3*z + 8 = 0. Suppose 0 = -2*t - 3*t + 125. Solve p - v = -n, 2*p - t = 5*n + 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -463559, -927158, -1390757?\nAnswer: -1854356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -6 + -5323.7063\nAnswer: -5329.7063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -727, -1622, -747, 3836, 14065, 31878, 59213, 98008?\nAnswer: 150201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.004055 to four dps.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3330, 3325, 3314, 3297?\nAnswer: 3274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127 is divided by 70?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*x - 78*x**2 + 71*x**2 - 3*x - 7*x**3 + 15*x - 6*x.\nAnswer: -7*x**3 - 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (((-4964)\/657)\/(-68))\/((-1)\/2)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1572?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u - 42 = 2*u. Let s(h) = -u*h + 20*h - 10*h. Let m(i) = 3*i + i - 6*i. What is s(m(n))?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 38292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6371, 12763, 19155?\nAnswer: 25547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - 54 = 8*i + 598, 0*i + i + 100 = -6*a + 10*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + -54 - -36 - -36?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z + 4. Let c(n) = 4. Let o(x) = -6*c(x) + 7*m(x). Let w(i) = 8*i - 8. Let q(s) = s - 2. Let j(l) = 5*q(l) - w(l). Give 5*j(r) + 2*o(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 4*o - 135. List the prime factors of o\/18*14\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 9) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -24162*f**2*p + f*p - 113*f + p + 5 wrt f.\nAnswer: -48324*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 394 a factor of 22458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -96 by 3.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1366165 is divided by 110.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*n - 318*n**2 + 13749 - 13749 + 4*n**3 + 318*n**2.\nAnswer: 4*n**3 - 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3403390 and 17016950?\nAnswer: 17016950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r - 1. Let a be z(-10). Find the second derivative of 15*y**5 + 3*y - a*y + 18*y**5 - 14*y**5 wrt y.\nAnswer: 380*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3875*g - 11093 + 11093)*(3*g + 2*g + 0*g + 2 - g - 2 + (-2 + 1 + 0)*(4*g + g - 4*g)) + 2*g**2 - 6*g**2 + 3*g**2 + (0*g + 5*g - 3*g)*(-3 - g + 3).\nAnswer: 11622*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 424233 (base 5) to base 6.\nAnswer: 150142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 22  (b) -4\/9  (c) -0.3  (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes after 5:28 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -224 + 2462\/11. Suppose -5*n = -1 - 9. Sort m, -5, n.\nAnswer: -5, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1888991383 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -111 (base 2) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -4 + (-5)\/(-2)*148?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.7 and 114408.\nAnswer: 114408.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -863 - 5365072.\nAnswer: -5365935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -29 - 32. Let a = i - -61. Solve -4*h + 2*d = -h - 21, -4*h - 4*d + 8 = a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the first derivative of -f**4\/4 - 4*f**3\/3 + f**2\/2 + 2*f + 12. Calculate the lowest common multiple of 48 and b(-5).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 11:35 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + q - 271 = 206, -2*q + 234 = 2*w. Let z be 0 - w\/(-297) - 2\/9. Solve 4\/11*p**2 - z*p - 4\/11 + 2\/11*p**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1134105 divided by 162015.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q + 13 - 31. Let l be 3\/6 + q\/2. Let r = -9 - -11. Calculate the highest common factor of r and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c**3\/11 - 318*c**2\/11 + 1632*c\/11 - 1312\/11 = 0.\nAnswer: -164, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10285.2 or -16?\nAnswer: -10285.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 9. Let x(p) = 2*p**2 - p + 6. Let d(t) = -2*t**2 + t - 7. What is u*d(c) + 7*x(c)?\nAnswer: 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 7*j**2 - 147*j + 709. What is g(8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 296819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -2*b - 7. What is the units digit of s(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5543 and 1446.\nAnswer: 33258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-48)\/(-6))\/8)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, w: 3, y: 2, e: 1, u: 3, j: 1}. Give prob of picking 1 e, 1 w, and 1 y.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = 2*j - 7*j - 16, -m + 22 = -5*j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (6\/(-4))\/((-2)\/44). Let p = 116 - l. Let y = p - 41. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -99809816.9 to the nearest ten thousand.\nAnswer: -99810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m + 2*m - 2*m)*(-202*m**2 + 73*m**2 + 2*m**2) + (-3 - 1 + 3)*(-7 + 7*m**3 - 4*m**3 + 10 - 2*m).\nAnswer: 251*m**3 + 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) -1\/6  (c) 46  (d) -0.5  (e) -1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 178 + -115. Calculate the remainder when j is divided by (154\/(-14))\/((-1)\/2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.4, -5, -2814, -0.45?\nAnswer: -2814","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the second derivative of 37*q + 0 + 0*q**2 - 5\/3*q**4 + 0*q**5 + 0*q**3 + 31\/30*q**6. What is the third derivative of s(t) wrt t?\nAnswer: 744*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1973447 by 75.\nAnswer: 1973447\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 2, 2\/23, -0.02 in descending order.\nAnswer: 9, 2, 2\/23, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**18*t)\/(t\/(t*t**(1\/8)*t*t)*t))\/(t**(1\/2)\/t)**(-46\/7) assuming t is positive.\nAnswer: t**(943\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - (17 + (-4 - (4 - -8))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*r + 4*r**2 - 6*r)*(-r + 2 - 2)*(3 - 2 - 2) to the form g*r + b + x*r**2 + p*r**3 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*k + 158490 = 21*k - 129336. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44.1385 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -49446 (base 15) to base 9.\nAnswer: -385683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4 + (0 - -3) + 1. Let c(n) = n**3 - 7*n**2 + 5*n + 8. Let d be c(6). Suppose 4\/3*a**d - 2*a**3 + 2\/3*a + f = 0. Calculate a.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07 minus -29940145?\nAnswer: 29940144.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21023332*x**4 - 14*x + 1132971 wrt x.\nAnswer: -252279984*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2\/((-740)\/(-92) - 8) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 425 + -415 + (-14 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2292783ml in litres?\nAnswer: 0.0002292783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 5*c - 15 = 0, 0*u + 18 = u - 4*c. Let j = u + 26. Suppose o + 43 = 3*y, 3*y + y = -5*o + j. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*a**2\/8 + 1005*a\/2 + 2013\/2 = 0. What is a?\nAnswer: -2, 1342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -3, 3, -127, -66, -46 in descending order.\nAnswer: 7, 3, -3, -46, -66, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*w + 2469 = 2469. Solve w = -2*a + 937 - 925 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*t - 14*t + 45*t - 16*t - 40*t.\nAnswer: -56*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11901, 23865, 35829?\nAnswer: 47793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -14 - -3 - (-1 - -12)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103*s + 118 = -809 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 >= 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31 + 48*v + 7 - 20 - 55*v + 32.\nAnswer: -7*v - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20\/(-40))\/((-897)\/(-828)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1244.137 weeks in minutes?\nAnswer: 12540900.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 288 = -3*r + 12*r. Suppose -3*g = -r - 25. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5053934 + 1?\nAnswer: -5053933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 158170000 to the nearest 1000000.\nAnswer: 158000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 60121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -65 + 74 + -6 + -1. Solve -j = 5*j + k*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and 84206.\nAnswer: -421030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-3)\/(-4))\/((-2)\/8). Suppose c = -c + 10. Let i = -3035 - -3033. Put d, -4, i, c in increasing order.\nAnswer: -4, d, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**3 - 7*p**2 - 8*p - 9. Let y be o(-6). Let r be 14\/(-1)*y\/(-1*6). Solve -23 + r = 4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1479 - 0.08618?\nAnswer: 0.06172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1301041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 57847\/4302 - 121\/9. Let z = 16290314\/25 - 54508071969\/83650. Let u = h + z. Calculate the common denominator of 85\/8 and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1313 is divided by 188?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0159969 to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 71 divide 5898323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.2248 from -7697.\nAnswer: -7697.2248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 5*h - 2 - 3*h + 5*h. Let y(b) be the third derivative of -b**4\/8 + b**3\/6 - 108*b**2 + 2*b. Let t be (8\/(-10))\/((-12)\/30). What is t*i(v) + 5*y(v)?\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from tyvmmvlkl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (46 - 23 - 19)*(0*r**2 - 3*r**2 + r**2)*(-177 + 68 - 77).\nAnswer: 1488*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 - 7*s**2 - 2*s - 1. What is i(8)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*w - 9*w + 61*w = -8*w + 9594 for w.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + 2 + (sqrt(448) - (3 + sqrt(448))))**2 + 1)*4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 27595332, 27595333, 27595334, 27595335, 27595336?\n\"Answer: d + 27595331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times 11433?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -60*r**3 - 90*r**4 - 220*r**5 + 195*r**5 + 479*r**2 - 241*r**2 - 198*r**2.\nAnswer: -5*r**2*(r + 2)**2*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -224173922*t**3 + 126084*t - 294 wrt t?\nAnswer: -1345043532*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 210\/(-735)*75\/(-75).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*g**3 + 663 - 332 - 331.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15 - 3) + 2*-2 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 5921 divided by -191\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10 + 2. Solve -2*p = p + v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r + 1. Give w(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes before 9:24 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 + 10. Is 8 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-88)\/(-28) + 2\/(-14). Suppose -3*j = z - 3*z + 87, -30 = -z - u*j. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-15)\/(-3) + 0 - -1. Suppose -3*u + 2*u + 15 = 5*g, -5*g - 2*u + 10 = 0. Find the second derivative of -g*f + r*f + 0*f**4 + 2*f**4 wrt f.\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -95*j - 8 + 2*j**2 + 6 + 104*j. Let u be z(-5). Is u smaller than 32\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (-3 + (-2 - -21))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17465519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the second derivative of 0*z**2 + 0*z**3 + 7*z - 1\/12*z**4 - 1\/80*z**5 + 0. Factor t(q).\nAnswer: -q**2*(q + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 + 2. Let y be w(2). Let a(v) = v**2 - 4*v + 1 + v - 2 + 0. Let l be a(y). Solve j + l = -2*c, -3*j - 2*c + 3*c + 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.057 and -41.\nAnswer: -2.337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from gulggda?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 2 + (2 - -1 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -29 + 7 + 10 + c + 14. Let g(h) = -3*h - 4. Let r(x) = -5*x - 7. Let q(l) = 7*g(l) - 4*r(l). Let b be q(-5). Calculate m(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 10 and 0.0327.\nAnswer: 10.0327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o + 2. Let p(j) = -j + 9. Let u(i) = 2*b(i) - p(i). Let r be (-30)\/8 - 5\/20. Let s be (2 - 8)\/(6\/r). Give u(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 3 = -3*x + 2*x, 3*x - 53 = 2*v. Suppose m + 2 = -f + 21, 0 = -3*m + x. What is the remainder when f is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -4*f**2. Let i(b) = 430*b + 18. Give i(c(a)).\nAnswer: -1720*a**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -76*k - 7522. Calculate u(-97).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104902 = 94*b - 1872*b for b.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6.294 and -0.7?\nAnswer: -4.4058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1147 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d + 7*d - 6*d + 3*d**2. Let b(a) = -a. Determine b(q(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - (4 - -8 - 9 - 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -27 - -45. Suppose -9*c + 11*c - w = 0. Calculate the remainder when c is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-3)*(-13 + 18)*(-3)\/2. Solve -60 = r*i - 40 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1734822 to 3 dps.\nAnswer: -0.173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000117220454 to seven decimal places.\nAnswer: -0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:47 AM and 7:13 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 13\/65*-2*285\/(-266)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -11 - (27 - (-16 - -51)) - 19.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6 - 5)\/(1\/(-9)). Let b be ((-12)\/(-5))\/(n\/(-30)). What is the greatest common factor of b and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the first derivative of 41*f**3\/3 + f**2\/2 + 2*f + 6. Is u(-1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1432809 is divided by 151.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -2*n**2\/13 - 82*n\/13 + 88 = 0.\nAnswer: -52, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*q**2 - 1 - 26331*q**3 + 26373*q**3 + 0 in the form i + a*q**2 + z*q + j*q**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -16*k + 10. What is the units digit of s(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62710?\nAnswer: 2, 5, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7083, -7099, -7115, -7131, -7147, -7163?\nAnswer: -7179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (30\/(-42) + (-8 + 2 - 0)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the third derivative of -v**6\/24 - 3*v**5\/2 - 20*v**4 - 400*v**3\/3 - 72*v**2. Factor p(k).\nAnswer: -5*(k + 4)**2*(k + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*k - 5*k - 47*k + 680 + 67*k - 16*k.\nAnswer: -11*k + 680","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 60 = -z, 2*q = q + 2*z + 15. Calculate the remainder when 1 - 2\/(12\/(-285))*112\/20 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*p + 2*p - 3*p + (-42*p + 0 + 37*p + 2)*((0 - 3 + 5)*((3 + 1 - 5)*(-30 + 232 - 58) + 2 - 4 + 4) - 2 - 5 + 6) in the form w + q*p and give q.\nAnswer: 1422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/20 of a millennium?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 58*y**2 + 1 + 1 - 47*y**2 + 4*y as n*y**2 + a*y + m and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-2)*2\/(-3)*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -14, -4, 2 in descending order.\nAnswer: 2, -2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2 + 108282*u + 758023.\nAnswer: -(u - 108289)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**3\/9 + 860*f**2\/9 - 37768*f\/9 - 26320\/3.\nAnswer: 2*(f - 42)*(f + 2)*(f + 470)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23140*n**2 - 902452*n - 312 = 0. Calculate n.\nAnswer: -2\/5785, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1257 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {v: 8, q: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*q + q**4 + 10*q + 23 + 72*q**3 + 20 - 2*q**2 - 69*q**3 + q as h*q**4 + n*q**2 + b + o*q**3 + w*q and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -5676 + -5?\nAnswer: -5681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(162) + (sqrt(162) + 1)**2 + -4 + sqrt(162) - (sqrt(162) - sqrt(162)*1*4)**2.\nAnswer: -1299 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 413238584, 413238583, 413238582, 413238581?\n\"Answer: -x + 413238585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (l + 2*l - l)*(671*l**3 + 3 - 990*l**2 - 1 + 992*l**2) + (-l**2 + 4 - 4)*(2*l**2 - 5*l**2 + l**2) as c + v*l + i*l**2 + r*l**3 + f*l**4 and give f.\nAnswer: 1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes after 2:13 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 37\/6 + -59\/6. Is q < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27519?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 954 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most as big as 2867389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and 29111018?\nAnswer: -8733305.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - -8. Let q = k - -17. Suppose -3*t - 3*v = -33, 4*t + 3*v - 14 = q. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2023 at least as big as 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-4) + (-3738)\/684 + 4)*(-18396)\/8176.\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/(-117))\/((-19)\/((-228)\/(-8))).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -442243, -884812, -1327381, -1769950?\n\"Answer: -442569*r + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 + 11*z**2 + 14*z + 22. Let a be m(-10). Let q be (2\/6)\/((-4)\/a). Let 3\/2*y - 3\/2*y**3 + q*y**2 - 3\/2 = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the first derivative of 8*v + 0*v**2 - 8\/3*v**3 - 1. What is the derivative of h(u) wrt u?\nAnswer: -16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1585 (base 11) to base 4\nAnswer: -133231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1480 + 804 = 52*v. Let t(r) = 4*r + 53. What is t(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -44796 - -3908557687.\nAnswer: 3908512891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 22 + 83 - 50 + 108 - 658*w**2 + 650*w**2 in the form a*w + k + r*w**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7*(0 + (-4)\/(-14)). Let v = -156 - -219. Let c = v + -55. Solve 3*p - c = -2*b - 2*p, 0 = 3*b + r*p - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z + 22 - 6 = t + 3, -39 = -3*t - 2*z for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3976\/(-3479) + (1\/1 - 0)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d - 3*d - 4*d)*(-2*d**4 - d + d) + (2*d**4 + 0*d**4 - 6*d**4)*(-6*d + d + 2*d).\nAnswer: 20*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 12 = -0*j + 4*c, 2*j = -3*c + 9. Solve 2*m = 6, j = 5*x - 4*m + 2 - 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 606*a**3 + 22*a**2 - 182*a - 10. Let z(r) = -304*r**3 - 12*r**2 + 92*r + 5. Let u(n) = -6*b(n) - 11*z(n). Find the second derivative of u(x) wrt x.\nAnswer: -1752*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(84) + sqrt(84)*1 + sqrt(21))\/(sqrt(63)*1) - (sqrt(21)\/(sqrt(49)\/sqrt(7)) + (4*(-2 + sqrt(3)) - sqrt(3))).\nAnswer: -7*sqrt(3)\/3 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2764, 5539, 8316, 11095, 13876, 16659, 19444?\nAnswer: 22231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3082, 12455, 28050, 49867, 77906?\nAnswer: 112167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 + 27*a**2 + 72*a + 3. List the prime factors of i(27).\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 - (20 + -10 - (-33 - -31)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -332581494 divided by 23755821.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s*s\/(s*s**(-6)))*s*s*s**5*s\/(s**(3\/7)*s)*s**(-3\/4) assuming s is positive.\nAnswer: s**(-5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104 + 25*f + 33 - 24 + 135 - 32.\nAnswer: 25*f + 216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (138\/20)\/((-96)\/(-80))*8. Let k = 48 - u. Let t be -6 - -14 - (2 - 4). Solve 2*r + t = k*q, -5 = -5*q + 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -7. Suppose -4*u = -b + 6, 6*u + 2 = 4*u. Suppose -s = -b*z - 3*s + 50, 2*z - 60 = -k*s. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 12 - -2 - (348 - 354)) + 2 - -42.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3a8 - 5?\nAnswer: 3a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (2 + -15 + 8 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 44184 and 37872.\nAnswer: 265104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 190952053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -101*p - 114*p - 7 + 7.\nAnswer: -215*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y - y**3 + 3 - 7*y**2 - y - y**2 + 5*y**2. List the prime factors of m(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + 3*t - 6*t - 28, 0 = 4*m - 3*t + 56. Let z = -4 - m. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 96*j**3 + 111*j**3 - 145*j**3.\nAnswer: 62*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**5\/(s*s*s*s\/s**(3\/4)))\/(s\/(s\/(s*s*s**(2\/5)*s))*s*(s**(-13)\/s)\/s) assuming s is positive.\nAnswer: s**(247\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -956 - -617. Round w to the nearest 10.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*b = -62*b, 3*o + 3 = 3*b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7567 + 7569. Suppose 36\/5*p**g - 96\/5*p + 64\/5 - 4\/5*p**3 = 0. Calculate p.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*v + 18*v - v**2 + 7*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 3072199 - 927816 = 0. Suppose n - 399998 = 2*g, 3*n - n - m = -3*g. What is n rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1760 = -5*y + 2*q, -4*y - 2*q + 1436 = 2*q. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - m)*(3*m**2 - 6*m**2 + 4*m**2) + 3*m**3 - 2*m**3 - 2*m**3 - m**2 + m**3 + m**2 + 210 + m - 210 - 30*m**3.\nAnswer: -31*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a. Let q(b) = b**2 - 4*b. Let v(j) = -q(j) + 3*s(j). Let u be 10 + 7 + -2 + -12. Let i(p) = -p**3 - 2*p**2 + 3*p. Calculate u*v(f) - i(f).\nAnswer: f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 - (-3 - 92\/(-22)). Let x = -11 - -9. Let m = x - -1.6. What is the nearest to -2\/3 in d, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/164 and 9\/328.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46650 - 5.61.\nAnswer: 46644.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 57477 and 332367.\nAnswer: 7644441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -2849.5 to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -90 + 94. Suppose -p - 2*k = -u*k + 11, 3 = 3*p + 3*k. Is 10 a factor of (-3)\/((p\/190 - 0) + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -4*w. Let h be (-4)\/8*-2*2. Let v(n) be the first derivative of 0*n**2 - 8 + n**h + 3. What is v(j(g))?\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 537 + -537.1. Put -42, -2\/13, l, -0.3, 5 in ascending order.\nAnswer: -42, -0.3, -2\/13, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -238359, -955327, -2150269, -3823185, -5974075, -8602939?\n\"Answer: -238987*m**2 - 7*m + 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13.8 - -12. Let w = 3.57 - -0.23. Let a = m + w. Is -3\/5 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2220 and 5550.\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/30184 and 69\/2695.\nAnswer: 150920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-744)\/22 - 1 - 14\/77. Let j = -22 - a. Let g(l) = 2*l - 8. What are the prime factors of g(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3*5\/(15\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 354570656 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/140558 and 17\/14426362?\nAnswer: 158689982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 135840 divided by 849?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 34*p**2 + 6*p - 10. Let r be j(-5). Suppose 0*y + o = -4*y + 3164, y + 5*o = r. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/49*((-16)\/(-12) + -2)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 266985?\nAnswer: 3, 5, 17, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - x + 4 = 0, 4*h - 3*x + 3 = -9. Suppose 4 = 2*p - h*p. Find the common denominator of -19\/2 and (-67)\/(-8) - (5 - p).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 77\/12, -1, 2, -1\/5 in increasing order.\nAnswer: -1, -1\/5, 2, 5, 77\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 1 + 10. Suppose 5*d = 5*j - 25, h = 2*d + 5*j - 0*j. Let i(x) = 3*x + 1. Calculate i(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 38 - 36. Let g be (-3)\/(m - -1)*-13. Find the third derivative of -12*r**2 - 4*r**3 - g*r**3 + 12*r**3 wrt r.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7*c**2*w**2 + 19*c**2 + 14708*c*w**3 + 9045*c + 3 wrt w.\nAnswer: -14*c**2*w + 44124*c*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -34*d + 3*d**3 + 0 + 1 + 35*d + 2 as a + r*d**3 + f*d**2 + n*d and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*(((g*g\/g**(26\/3)*g)\/g)\/g)\/g*g**(-15)*(g**(-2\/5))**34)**(-3\/16) assuming g is positive.\nAnswer: g**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -24*f + 21. Let k(q) = q - 1. Suppose 9*g = -7*g. Let j(p) = -p**3 + 2*p**2 + 42. Let l be j(g). Calculate l*k(o) + 2*i(o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + x - 20 = 5*r, 3*x + 4*r = -16. Suppose -n + x = -4. Sort -5, -4, n in increasing order.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) 3  (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 127052 = 5*g, -11*f + 6*f = g - 25402. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -339 - -242. Let v = y - -105. What is the units digit of (-8 + 4 - v)*-17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 410 and 21061530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -151, -10, 1483, -5, 4 in ascending order.\nAnswer: -151, -10, -5, 4, 1483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 2 - 27 + 10 + 5 - 7*f + 8. Let l be -20*2\/(-4) + -4. Let x(i) be the third derivative of -5*i**4\/8 - 5*i**3\/6 + i**2. What is l*x(u) - 13*k(u)?\nAnswer: u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -36 + 76. Suppose -28 - y = -4*n. Suppose 0 = t + 4*b - 23, -2*t - 9 = -3*b - 0*b. Solve t*g - 5 = -n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5608.14 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12*(4 - 1)\/3. Suppose 0 = 3*s + s - 2*u - 2, 3*s - f = -2*u. Find the third derivative of s*v**2 - 1 - 2*v**5 + 1 wrt v.\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7 - 0 - 5 - 0. Solve u*s - 28 = -5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3046, 3049, 3052?\nAnswer: 3055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4103 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -625 + 730 = -15*b. Let h(o) be the third derivative of -o**6\/120 - 7*o**5\/60 - o**4\/24 + o**3\/3 + 2*o**2. What is h(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 6*z + 12. Let g be w(0). Suppose 9*q - g*q - 3 = 0. Is -4\/25 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -759.7 * -5.\nAnswer: 3798.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.564 - 11.524. Let j = 15 + m. Let y = -0.037 - j. What is y rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = 3*d + 21, -2*d - 2173*k - 598 = -2365*k for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 - (-1)\/1)*-23. Suppose 4*a = 143 - q. Let b(w) = a + 3*w - 30. Let o(v) = 3*v. Give b(o(p)).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 4125 = 5*n, 5*j = -n - 2657 + 7864. What is the greatest common divisor of j and 1872?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 19550 and 500.\nAnswer: 195500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (1 + -5 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*n = 36 + 99 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -4*u + 29. Suppose -u*z = -15 - 75. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 5*p**2 + p - 6. Let c be t(-8). Let a = -5316 - -5350. What is the highest common divisor of a and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**3\/7 + 177750*o**2\/7 - 5685696*o\/7 + 45479424\/7.\nAnswer: -3*(o - 59218)*(o - 16)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -137792, -551262, -1240374, -2205128, -3445524?\nAnswer: -4961562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -14043799\/6, -3\/5 in descending order.\nAnswer: 0, -3\/5, -14043799\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78 = 30*n + 2*h - 108, -2*h = -5*n + 24 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15 + 15.0000155. What is j rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 364033.2 decades?\nAnswer: 36403.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-16) + (-528)\/(-128). Suppose 7*t = -q + 4*t - 13, m*t = 4*q - 28. Solve -c = q*c - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes before 12:22 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 55169606 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c + 9*c = 6*y - 12510, -3*c = 0. What are the prime factors of y?\nAnswer: 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21212.161645204 less than 21?\nAnswer: 21233.161645204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 - 12. Let g be 1\/(-3)*(-25)\/(275\/(-33)). Which is the nearest to 1\/2?  (a) h  (b) -2\/3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 444.2 + -32.2. Let b = z - 411.7. What is the nearest to 1\/30 in 3, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 1. Let z(x) = 1. Let h(g) = -2*g - 3. Let t(k) = h(k) - 2*z(k). What is -5*r(b) - t(b)?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43542 + 26252 + 30602 = -5284*h for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a + 2*h + 28, -4*a + 3*h + 29 = -3*a. Let b = 332 - 215. Calculate the greatest common divisor of b and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 57\/238 - 3\/119. Let p = -29\/70 + l. Which is bigger: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/((60\/(-120))\/(1\/4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6797083.\nAnswer: 67, 101449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*k - 0*k + 3*z + 4, -20 = 5*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 6*j**3 + 7*j**2 + 5*j - 6. Let i be x(-5). What is the units digit of i\/(-14) + 2\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -18 + 6. Let x = -3 - p. Suppose -4*z = -x - 15. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 30, 192, -3, 4 in decreasing order.\nAnswer: 192, 30, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 917400301?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**3 - 11*b**2 - 18*b + 7. Let x be r(-8). Let c = x + 48. Round c to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 254*u = 252*u - 24, 0 = -5*z - 3*u + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -113577 divided by 2?\nAnswer: -113577\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2 + (-16)\/5)*5. Let z = -7 - r. Sort 0, z, 5 in ascending order.\nAnswer: z, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -54*d**2 + 1869*d - 1123. Determine o(34).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 5 - 4)*(-282*n**4 + 1118*n**2 - 1118*n**2).\nAnswer: -564*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 18379467 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3}. Give prob of sequence eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 58, 4, -4 in increasing order.\nAnswer: -4, 4, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 147892 - 57112. List the prime factors of x.\nAnswer: 2, 3, 5, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 79 - 9. Suppose y*h - 73*h = -105. Suppose -j - 12 = -3*w, -j + 6*j + 4*w - h = 0. Solve 2*m - j*m + 2 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*a**3 + 4 - 1 - 120*a**3 + 2.\nAnswer: -150*a**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 37 + -72. What are the prime factors of (j\/(-20))\/((-3)\/(-24))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -4*q + 55. Let s be w(13). Suppose 2 = i, u = 6*u + s*i - 12901. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*w**3 + 210 - 36 - w**3 + 178.\nAnswer: -5*w**3 + 352","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2662558900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 37210398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10211122 - 12?\nAnswer: -10211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2854 + -2850. Suppose 0 = 2*w - 6*w - 16. Let v(a) = a**2 + a. Let t be v(w). Calculate the greatest common divisor of n and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 + -626?\nAnswer: -621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -287*w + 14 = -280*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*r - 7*r + 16 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 628541 to the power of 1\/2, to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -u**3\/2 - 8187*u**2\/2 - 9064824*u - 2749831582 = 0?\nAnswer: -3914, -359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 - 3*b + 8 + 3.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.9061578 to two dps.\nAnswer: -6.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y and 1 z when four letters picked without replacement from yzyyyyyyyyzy.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -101947, -101895, -101843, -101791?\n\"Answer: 52*m - 101999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 3*q. Let b = -7 + 9. Let a = 4 - b. Let o(u) = u + a*u - 2*u - 2*u. Calculate h(o(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12117 - 12115. Solve 0 - 5 = -5*t - 3*c, -h*t + 5*c = -33 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -73 divided by -1206?\nAnswer: 73\/1206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**3 + 4*v**2 + 2*v + 2. Let z(x) = 7*x**3 + 27*x**2 + 16*x + 19. Let u(k) = 6*c(k) - z(k). What is u(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 79 + -119. Find the common denominator of (-248)\/w + 1*(-2 + 4) and (8\/(-10))\/((-7)\/10).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -f**2*m*u - 37*f**2*m + 311*f*u**2 + 8*m*u - 5*m + 153*u**2 + 1 wrt f.\nAnswer: -2*f*m*u - 74*f*m + 311*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8\/(-12) - (-1 - (-2579)\/(-3)). Let p = -63 + f. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 415440628?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 9294343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes after 7:25 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01923507378 rounded to three dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**4)**8\/((c\/c**(-8))\/((c**(-1\/7)*c)\/c)) assuming c is positive.\nAnswer: c**(216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q**(-3)*q)*q)\/(q\/q**(2\/15)))\/(((q**1*q)\/q)\/(q*q*q**1))*(q*(q\/(q*q**(1\/2)\/q)*q)\/q)**9\/(q**(-1))**(-1) assuming q is positive.\nAnswer: q**(529\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2755028*b**2 + 885734*b?\nAnswer: -5510056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*c**4 + 10*c**3 - 15*c**2.\nAnswer: 5*c**2*(c - 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m + 4*p + 8, -m + 4*p + 4 = -4. Let u = -63.6 - -48. Let h = -16 - u. Which is the closest to m?  (a) h  (b) -5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 12 = -4*y, -4*y - 3 = -5*y + 3*k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.505008g to micrograms.\nAnswer: 8505008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 - 3 = 4*o. Suppose -472 = -5*m + 2*g - 5*g, -5*m = -4*g - 479. Let u = m + o. Calculate the remainder when u is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 45965 and 290.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.552334 litres in millilitres?\nAnswer: 6552.334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1315, -14, -1, 3, -17, 4.\nAnswer: -1315, -17, -14, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -4*g + 4*b, -92*b - 11 = 5*g - 81*b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the first derivative of 15*r**2\/2 - 28*r - 39. List the prime factors of u(6).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -11589.3645 to the nearest one hundred.\nAnswer: -11600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 68 and 35943967?\nAnswer: 143775868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - 0. Let f = 1 - w. Let g be (f + 2 - 0)\/(-2). Which is the nearest to 0.1?  (a) 3  (b) -1\/5  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-1 - 0))\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57496.95 rounded to the nearest one thousand?\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the second derivative of 49*m**6\/150 + 63*m**5\/50 + m**4 + 4*m**3\/15 - 2177*m. Factor l(p).\nAnswer: p*(p + 2)*(7*p + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -5074573, -5074597, -5074621, -5074645, -5074669?\n\"Answer: -24*p - 5074549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 2\/21 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**2 + 2*y + 39. Let a be w(-9). Let f = a + -93. Suppose f*m = 12*m - 303. Does 31 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 2*x = 1060, 0 = -4*x + 7*x + 15. Solve 52*g = -k - 206 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the third derivative of v**5\/15 - v**4\/12 - v**3\/6 + 17*v**2. Let w be o(2). Suppose w*k = 16*k - 180. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(10) - sqrt(50)\/sqrt(5)))\/(sqrt(2) - sqrt(8)*-2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*c - 3*c = 1196. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(4 + (sqrt(208) - (sqrt(208) + 0 - sqrt(208)))**2 - (0 + sqrt(208) + -3)**2) + 1*((sqrt(13) - ((sqrt(52))**2 + -5)) + 0) + -2.\nAnswer: -64 + 73*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 123 * 295.\nAnswer: 36285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1696\/(-3180)*((-135)\/84)\/9\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 50 and 15390.\nAnswer: 76950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + k = -2*k + 34, 0 = -2*q - 4*k + 70. Let x = 35 - q. Is 14231\/77 - x\/11 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13 + -18. Let a(u) = -u**3 - 6*u**2 - 5*u - 3. Let d be a(i). Let y be (-4)\/(-6) + (-8)\/3. Sort y, d, 3 in decreasing order.\nAnswer: 3, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 5*r + 99 = 96, -r = -f - 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 + 7*m - 6. Let w be (-318)\/39 - (-12)\/78. Let n be c(w). Suppose -3*j = n*j - 860. What is the remainder when j is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 j and 1 d when four letters picked without replacement from {j: 3, d: 17}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 16 + -21 - (-7 + -2 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-33)\/(-11))\/((-6)\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -11*q**2 + 35*q - 10. Suppose 0 = -5*a + 33 + 7. Let p(l) = 7*l**2 - 23*l + 7. Let j(g) = a*p(g) + 5*z(g). Calculate j(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 235518, 234897, 234268, 233625, 232962, 232273, 231552, 230793?\nAnswer: 229990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 52 and 56290?\nAnswer: 112580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixth of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ghh when three letters picked without replacement from gchghghgghchccg.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 143 is divided by 107.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5524\/3 + 1817. Find the common denominator of 17\/6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nj when two letters picked without replacement from njjnnjjnnj.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(((sqrt(931) + 0)*3 - (sqrt(931) - (sqrt(931) + sqrt(931)*1 + -5)))*5)**2.\nAnswer: -7000*sqrt(19) + 373025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 42498?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-414)\/(-2070)*1\/(-20)*2\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lfwallahwlmffll. What is prob of sequence lww?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 5*i**2. Let j(g) = -2338014*g**2. Give j(d(y)).\nAnswer: -58450350*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -2*j**3 - 15*j**2 + 8*j + 59. Let v(b) = -3*b**3 - 10*b**2 + 10*b + 57. Give 5*c(q) - 4*v(q).\nAnswer: 2*q**3 - 35*q**2 + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2101 = -p - d, 4*p - 155*d + 150*d - 8449 = 0. What is the greatest common divisor of p and 243?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.6 and -213963.97171.\nAnswer: -213964.57171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 1135924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2258.1 + 2258. Let p = 13.4 + -13. Sort p, -1\/14, z in increasing order.\nAnswer: z, -1\/14, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5157.6 from 0.1.\nAnswer: -5157.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2308.\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 712 by -356.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 45.9 - 43. Let d = -2.83 - 0.17. Let o = d + v. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -293, -1167, -2623, -4661, -7281, -10483?\nAnswer: -14267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 72\/5 of a microgram?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -4*k - 28. Let v be p(-23). Suppose -3*n - v = -349. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2406 - -2400. What is the third biggest value in -2\/23, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes after 5:46 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*t**5 + 690*t**4 + 2510*t**3 + 3040*t**2 + 1485*t + 230 = 0. What is t?\nAnswer: -1, -2\/7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y - 5. Let k be s(-6). Solve -k = -o - 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 231*((-8)\/(-6) - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1 + 38\/(-1 + -1). Let z = -33 - c. Let o = 29 + z. Solve -2*s - 7 = -5*h, -5*h - 5*s + o = -21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 8363 and 6\/37 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -26162, -209369, -706702, -1675223, -3271994, -5654077, -8978534, -13402427?\n\"Answer: -26177*s**3 - s**2 + 35*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - -6 - (-6 + -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m - 1 + 1)*(m - 3*m + 0*m) - 7*m**2 + 16*m**2 + 10*m**2.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 2*s - q, 4235348*s - 4235347*s = -3*q - 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88 = 29*j - 59. Let h(b) = 7 - 1 - 16*b - 6 + 1. Give h(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-3*sqrt(22)\/sqrt(2) - sqrt(11)) + sqrt(132)\/(sqrt(48)\/sqrt(4)) + 4 + sqrt(77)\/(5*(sqrt(21)\/sqrt(3) + sqrt(7))).\nAnswer: -29*sqrt(11)\/10 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-2\/27)*q**17 assuming q is positive.\nAnswer: q**(457\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 1 l when three letters picked without replacement from {l: 8, m: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, a: 1, x: 1, s: 1, r: 1, m: 2}. What is prob of picking 1 b, 1 s, and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 431 - 412. Solve n*s - 14*s = 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -c**2 - 10*c - 21 = 0.\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 351 - 78. List the prime factors of (-5)\/(-2)*12\/(-15) + d.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 + 2.9. Let p = 162 - 249. Let s = -87 - p. Sort -2\/3, g, s in decreasing order.\nAnswer: s, g, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*g**3 - 80202*g**2 + 68895*g + 515700 = 0. What is g?\nAnswer: -3820, -15\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 - 13*n - 37. What is k(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 208 is divided by 107?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 - 1. Let a(w) be the first derivative of -1 + o*w + 1\/6*w**3 - w**2. Factor a(v).\nAnswer: (v - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 20*s**2 - 5*s. Let b(j) = 19*j**2 - 6*j. Let m(f) = 5*b(f) - 6*w(f). Let g(r) be the third derivative of -r**4\/24 + 26*r**2. Give m(g(z)).\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i - 2. Suppose 18 = 2*d + 8. Let z(t) be the first derivative of -3*t**2\/2 - 4*t + 1. What is d*n(x) - 2*z(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.1655 + 362106740?\nAnswer: 362106738.8345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.03 or 1\/1353?\nAnswer: 1\/1353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(1 + sqrt(15)\/sqrt(5) + -4 + (sqrt(12) - sqrt(192))*4)**2.\nAnswer: 138*sqrt(3) + 1596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**3 - 2*f**2 + 2*f. Suppose 10*h - 4*h + 12 = 0. Let p be g(h). Let s(t) = t**2 + 5*t + 5. Give s(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5dd2 (base 16) to base 15\nAnswer: -71b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes after 9:56 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*f - 486 + 703 = -338*f - 1063 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**3 - 6*q**2 + 6*q - 5. Let l be s(5). Which is bigger: -1\/16 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -4*h + 7, -4 = 29*h - 25*h. Let t(c) = -c**3 - 11*c**2 - c - 7. Give t(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1022 is divided by 146?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2395, 2364, 2329, 2290, 2247?\nAnswer: 2200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 14 (base 6) to base 2\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence anna when four letters picked without replacement from {a: 5, j: 2, n: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -114.079 * 0.84\nAnswer: -95.82636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -73393, -73395, -73397, -73399, -73401, -73403?\n\"Answer: -2*z - 73391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 21 + -38. Let l = v + 18. What is the second smallest value in l, 3\/7, 0.3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 67 - 85. Let x be 1344\/10*(2 + 0 - p). Suppose 6*t + 6*t = x. Does 31 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12.3 times -113505\nAnswer: 1396111.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is seven sixths of a day in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26102 is divided by 373?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from {c: 1, t: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - 63 = 9*k. Let h(z) = z**3 + 21*z**2 - z - 18. Let x be h(k). Suppose -1181*s**2 + 4*s + s**x + 0*s + 1176*s**2 = 0. What is s?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4762\/47177 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15\/8 + 19\/8. What is the closest to p in -0.3, -1, -1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**4\/2 - 19532*p**3 + 19533*p**2 + 19532*p - 39065\/2 = 0. What is p?\nAnswer: -39065, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 7057059*q**3 - 5101258?\nAnswer: 21171177*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*c = -34 - 16. Suppose 2*w = i + 4, -4*w = 4*i - 2*i. Put c, w, -5, 7 in descending order.\nAnswer: 7, c, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -95*y - 869. Let j(o) = -285*o - 2602. Let q(l) = 2*j(l) - 7*p(l). What is the derivative of q(s) wrt s?\nAnswer: 95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.39 + -2.19. What is the nearest to -1 in t, 2, -2\/25?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -2*j + 190. Suppose -f = -j + 3. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -31*m**3 - 446*m**2 + 3 + 227*m**2 + 219*m**2 to the form z + g*m**2 + y*m**3 + q*m and give y.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -17*l. Let y(r) = 34*r. Give y(c(n)).\nAnswer: -578*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**2 - 117*j\/2 - 30.\nAnswer: 3*(j - 20)*(2*j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 29058 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12529548 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-11)\/4 + 2 - (-284)\/16. What is the highest common divisor of 17 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 252 and 14?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 72 + -20. Suppose -2*w + 61 = 3*w + v, -4*w + m = 4*v. Suppose 2*a - 4 - 2 = -3*o, w = 4*a + 2*o. Solve k = -k + t + 12, -28 = -a*k + 4*t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4942389 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*d**3 + 4785*d**2 - 429306*d - 9904776 = 0. Calculate d.\nAnswer: -19, 116, 1498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 16 = -m - 8, 0 = 3*m + 12. Find the third derivative of 0 - 3 - h*t**5 + t**2 + 3 wrt t.\nAnswer: -240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u - 3. Suppose 2*h - k - 3 = 0, -k - k + 12 = 2*h. Suppose -n + 4 = -t, h*n + 0 - 8 = -t. Let a = t - -1. Determine v(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 465\/(-12) - 2\/(-32)*-4. Is -1\/2 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 191661912 a multiple of 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41 + 49 + b - 12*b - 8.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 6599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s - 3*s + s + 2. Let y = 887 - 885. Let h be i(y). Sort -2, 4, h in ascending order.\nAnswer: -2, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*g = 15 - 44 - 19. Let o(c) be the second derivative of 14*c + c**g + 0 + 5\/2*c**3. Differentiate o(f) with respect to f.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37515 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 65611.35 days?\nAnswer: 5668820640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + 3)*17\/(-34) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2840 - -2841. Let f be ((-2)\/6)\/((-2)\/3). Which is the closest to f?  (a) 4  (b) -1\/4  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 61.44456 + -61.38456009. Let o = 0.06 - g. Round o to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1021011 - -1011?\nAnswer: 1022022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, 5\/3, 23?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -29*i. Let x(h) = -h**2 + 389 - 389. Calculate x(c(o)).\nAnswer: -841*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 4*t - 33. Let w(o) = -o + 1. Determine i(h) + 2*w(h).\nAnswer: 2*h - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes before 10:53 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 129980 and 29310490?\nAnswer: 58620980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f + 4*j + 32, -18 = -4*f + 5*j + 23. Suppose 3*h - 4 = 8. Suppose 3*g - g + h*l - 30 = 0, -2*g = -2*l. Solve g*i - f = 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 227 a factor of 98057417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1433*m*s**3 - 47*m*s**2 - 273*m + 2*s wrt s.\nAnswer: 8598*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8573\/10720 + 54\/67. Calculate the common denominator of 81\/16 and b.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*a - 15 = 42*a. Sort 4, -4, a, 10 in increasing order.\nAnswer: -4, a, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 849 = -4*u + 13. Let a = u + 216. Solve 2*c = -1 + a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 139 - 150. What is the smallest value in c, 3, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.0696 + 65006496?\nAnswer: 65006493.9304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 456 and 14022?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 242*y + 2. Let l(t) = -120*t - 1. Give -5*l(z) - 2*m(z).\nAnswer: 116*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + v = -41. Let y = v - 16. Suppose -8*k = -3*k - y. Solve -2*a - 15 = -k*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68*y + 652*y = -138*y + 62634 for y.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-105)\/245*(7\/(-3) + 1). Factor -4\/7*q**2 + 2\/7*q**3 + i - 2\/7*q.\nAnswer: 2*(q - 2)*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(3\/2)*u\/(u*u\/u**(-1\/6)))**(2\/19) assuming u is positive.\nAnswer: u**(2\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {o: 1, q: 3, p: 5, u: 1, a: 5}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*d + 165 = 3*w + 210, 29*w = d - 32 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 79 - 76. Let l be (-38)\/34 - (4 + -5). What is the third smallest value in k, -1.1, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - 0.4. Suppose 0*t + 4*t - 48 = 0. Suppose -5*m + 8*m - t = 0. Which is the third biggest value?  (a) m  (b) -4  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - 4*s + 14, c - 2*s - 3 = -0. Let r(d) be the first derivative of 0*d**3 - 3 + 0*d + 7\/15*d**6 + 0*d**4 + 4\/25*d**c + 0*d**2. Factor r(x).\nAnswer: 2*x**4*(7*x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113864167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 10\/35 + 366\/(-7). Suppose 0 = -7*s + 4*s - x + 366, s - 132 = 3*x. Let r = n + s. What are the prime factors of r?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put 95, -6, 4, 5, 0 in descending order.\nAnswer: 95, 5, 4, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7028?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = z - v - 26, v = -3*z + 143. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 + 0.71. Let b = 3.61 - k. Let v = b - -2. What is v rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes before 4:56 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*z + 2692 - 2188 = 0 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**3 + 13*w**2 + 14*w + 2. Let z be b(14). Suppose -o - 3*o = -40. Suppose 0*i + o = z*i. Solve -2*l + 5*d - 3 = 0, -i*l + l + 3*d + 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1129579591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -234 = 109*a - 122*a. Let h = 2 - 1. Suppose -4*l = 5*b + h - 25, -2*l + a = b. Calculate the greatest common divisor of 77 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l = 4, 3*l = -3*t + l + 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the third derivative of -z**6\/120 + z**5\/30 + z**4\/12 + 42*z**2 + 2*z. Give y(-3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4266953 or 4266949?\nAnswer: 4266949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xdx when three letters picked without replacement from {p: 2, b: 2, e: 2, x: 6, d: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.154 + 4.154. Put i, -4, 0.4, 5 in ascending order.\nAnswer: -4, 0.4, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4436851720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.01643 and 39?\nAnswer: -0.64077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14547, -14547, -14549, -14553, -14559, -14567, -14577?\nAnswer: -14589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*d**3 + 49*d**3 - 19*d**3 + 32*d**3.\nAnswer: 58*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n + 4. Let c be q(2). Find the second derivative of 2*i - 7*i + c*i**3 + 2*i - 3*i wrt i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 550*t**3 + 13*t**2 - 7*t. Let i(f) = -183*f**3 - 4*f**2 + 2*f. Let g(b) = 7*i(b) + 2*n(b). What is the third derivative of g(u) wrt u?\nAnswer: -1086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s - 7*x - 46181 = -46299, -2*s - x = -22 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -70.9 + -6.1. Let t = w - -76.9. Let q = 28 - 83\/3. Which is the second smallest value?  (a) 2\/7  (b) t  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1548107381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 512 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3684*j = -3606*j + 6866*j - 10176 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 + 608a3b54?\nAnswer: 608a3b50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 17  (b) -1  (c) 2\/17  (d) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put together -90 and 2265.973.\nAnswer: 2175.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 29952 + -29948. Sort 2\/7, d, -5\/12 in increasing order.\nAnswer: -5\/12, 2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 91 - -404. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8828705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 167*f + 139*f - 433*f + 6 + 175*f.\nAnswer: 48*f + 6","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/5874 and 70\/3731211.\nAnswer: 664155558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((4*sqrt(180)*1 + 3)**2 - (-5 + ((-2 + sqrt(180))*5)**2))*3.\nAnswer: -5118 + 2232*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.6 from -28360577126550.\nAnswer: -28360577126550.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -10*m**2 + 384*m - 872. Give v(37).\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/2 of a meter in centimeters?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 9, n: 1, t: 9}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -28\/15565 and 31\/660?\nAnswer: 186780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 - b - 16 + 25.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1*(1 - -11)\/(-3). Let h = 32 + -20. Let u be (-4)\/h + (-2)\/(-15). Which is the closest to u?  (a) 0.3  (b) r  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3350 by -201918.\nAnswer: 1675\/100959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1\/52*116\/(-3219)*37\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5\/((2\/(-14))\/((-16)\/56)). Let s(q) be the third derivative of q**5\/60 - q**4\/3 + 5*q**3\/2 - 2*q**2. What are the prime factors of s(n)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 less than -861.3?\nAnswer: -861.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together -72 and -473707777.\nAnswer: -473707849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 119670 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p\/p**(2\/13))\/p*p**(3\/7)*p**(-1\/3)*p**(-2)*p*p)\/((p\/(p**(3\/4)*p*p)*p*p**(-4))\/(p*p\/(p\/p**(-3\/5))*p**4\/p)) assuming p is positive.\nAnswer: p**(49639\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) -0.2  (c) 4  (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18 - 30*n - 25\/2*n**2.\nAnswer: -(5*n + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2447932237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-95)\/(-140) + (-4)\/16?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -5*k - 2*j - 95, -4*k + 3*j - 76 = 0. Let r = k + 32. What is the greatest common divisor of r and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -223 + 440?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (50\/(-3700))\/((-32)\/(-24))*4\/3\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.22 + 0.18. What is the second smallest value in 0, 1\/6, j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -86?  (a) -1\/6  (b) -0.3  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the first derivative of 1\/2*j**4 + 0*j + 8 + 0*j**3 - 7\/2*j**2. Find the second derivative of z(n) wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 - 4*p**2 - 6*p. Let j(a) = a**3 + 12*a**2 - 24*a + 52. Let v be j(-14). Determine w(v).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the third derivative of -5*l**4\/6 - 45*l**2 + 2*l. Let s(k) = -6*k. Give s(u(p)).\nAnswer: 120*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - -124?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cccccczccczc. Give prob of sequence zccz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 20908063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 41 - 40.97. Let d = f + 0.17. Which is the nearest to -3?  (a) d  (b) -1  (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 936 and 114336.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5033555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 50386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -57*l**2 - 4*l + 10?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*b + 5*b - 1 + 0*b)*(-6 - b**2 + 3 + 5) in the form x*b + d + t*b**3 + c*b**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*l, 2*b + 0*b - 42 = 2*l. Suppose 2*u = -4*o + 10, 0 = 2*u - 7*u + 4*o + b. Solve i + 3 = -3*c - 12, 3*i = u*c + 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 318319.97 rounded to the nearest 1000?\nAnswer: 318000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -377 - 25233?\nAnswer: -25632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 315864 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = 5*p + 4*h, 0 = 3*p - h - h - 10. Suppose -2*b + p + 54 = 0. Let c = 560 - 542. What is the greatest common divisor of c and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 7*w**2 - 5*w + 5. Suppose 0 = -7*c + 1 - 36. Let t(m) = -6*m**2 + 4*m - 4. What is c*t(o) - 4*l(o)?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the third derivative of 1\/210*q**7 + 0*q**5 + 0 + 0*q**6 + 5\/6*q**3 + 0*q**4 + 0*q + 3*q**2. Differentiate j(d) wrt d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p + 5 - 2 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -205, 419, 0, 5 in increasing order.\nAnswer: -205, 0, 5, 419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - -10202031?\nAnswer: 10202034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/((-3)\/(-8 - -2)). Suppose 0 = q*a - 13 + 5. Let c = 2 + a. Solve -c*n + 2*o + 6 = -3*n, o + 8 = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 + (1 - 4) + 1 - -162. Let h = 159 - j. Solve h = -o - 0 - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + p = i + 58, i - 4*p + 63 = 0. Let k = 95 + i. Solve 37 - k = -5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 123569*d - 975965*d**3 - 123569*d.\nAnswer: -975965*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3537649*l**2 + 2*l + 53350157.\nAnswer: 7075298*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 57\/135 - (-4)\/(-20). Let d be ((-1572)\/785 - -2)*-5. Let p = -137\/1570 - d. What is the third smallest value in p, z, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12882260300 rounded to the nearest one million?\nAnswer: -12882000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/((-616)\/12)*2.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 5*x - 70 - 38 = 0, m = 5*x + 2. Suppose -4*k - 6 = 5*o - 35, -5*o + m = -3*k. Is (-138)\/(-10) + k\/5 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 6*f = 2*f + 3, 2*f = -6. What is the remainder when g is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (3 - 0)*(2 + 34) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/1101639 and -56\/627.\nAnswer: 1101639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16*k**4 - k**3 + 1967*k**2 + 1229*k + 6?\nAnswer: 192*k**2 - 6*k + 3934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -3*t**2 + 100*t - 616. Give v(9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (-7 - -18 - 15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/4*(-120)\/135)\/(-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 34 + -29. Suppose -2*d + 5*a = 49, 0 = -4*d + w*a - 36 - 67. Let f = d + 46. Calculate the lowest common multiple of f and 7.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and -242783.\nAnswer: 728349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -d + u + 82, 3*d + 3*u - 105 = 0. Let w be 2\/4 + d\/2. Find the second derivative of w*y - y**5 + 12*y**5 - 35*y wrt y.\nAnswer: 220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3 or 231\/107?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 12*15\/50*-5. Let o = 90 + n. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/5 + (-252)\/(-70). Let d be ((-2)\/5)\/(m\/(-30)). Suppose -3*v = -4*v + d. Solve 0 = w - 0*w - v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 103*i + 39*i - 50*i - 7*i + 100*i. Let b(a) = 7*a. What is q(b(u))?\nAnswer: 1295*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) 11.1  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 123 - 312 + 13*o + 190.\nAnswer: 13*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2213332002 (base 5) to base 16.\nAnswer: -499bc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*q + 73 - 73 - 2*q - 11*q + 70*q - 34*q.\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 6 = 3*s, -9 = -s + 3*a + 1. Suppose 1 = 3*w - 14. Solve -5*k = -w*j - s - 4, 0 = -3*j + k - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence czer when four letters picked without replacement from {c: 1, z: 1, e: 9, r: 3, w: 4}?\nAnswer: 1\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 534297 a multiple of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1028 + 387*t**3 + 8120004*t - 8120004*t wrt t.\nAnswer: 1161*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c. Let l be v(-6). Let k be 2\/l*4\/6. Let b = -2.95 - 0.05. What is the biggest value in k, -2\/3, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 5*y**2 + 2*y**2 - 2*y**2. Let g(s) = -273*s - 290*s - 280*s + 857*s. Calculate o(g(t)).\nAnswer: 980*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 3*g + 12 = 7*g, -4 = -5*w + 3*g. Solve -4*b + 16 = 4*h, -h - w*b = -5*h - 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 31*j**2 + 66*j**2 + 5*j**3 - 55*j**2 wrt j.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1680579 divided by -186731\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 6*g**4 + 71637*g**3\/2 - 2479347*g**2 - 40972146*g + 10397436 = 0.\nAnswer: -6038, -14, 1\/4, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 4353329, -3, 1 in ascending order.\nAnswer: -3, 1, 4353329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 280354496.\nAnswer: 2, 43, 101873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*o - 6*o + 4*o)*(3 - o - 3) + (-2*o - 3*o**2 + 2*o)*(-7 + 1 - 2).\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5188  (b) 0.3  (c) 107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**2 - 7*j + 6. Let x = 9 - 3. Let i be n(x). Suppose -y - d - 4 = 0, -5*y + 2*d = 5*d + 14. Are y and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k - 3*s - 13, 15*s - 12 = -4*k + 17*s. Solve -k*u + g - 35 = -4*g, -4*u + 2*g = 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -138 + -45. Let v = l + 184. Let q be ((-4)\/10)\/((-6)\/(-10)). Which is the biggest value?  (a) q  (b) v  (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4077?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/((-155)\/(-80) - 2). Calculate the greatest common factor of 496 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 92328*v + 0 - 92325*v - 3 + 0 + 3.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1737 (base 14) in base 5?\nAnswer: 113130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.6 and -60.75?\nAnswer: 60.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 260781 divided by -267.\nAnswer: -86927\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - 1. Let l(x) = 7*x**2 + x - 1. Let o(j) = -j**2 + 1. Let i(z) = l(z) + 6*o(z). What is i(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**3\/4 + 525*v**2\/2 - 28205*v\/4 - 14625\/2.\nAnswer: 5*(v - 25)*(v + 1)*(v + 234)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20508?\nAnswer: 2, 3, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**3\/13 + 524*y**2\/13.\nAnswer: -2*y**2*(y - 262)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 14) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000011256 rounded to 7 decimal places?\nAnswer: -0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -375, -746, -1117, -1488, -1859?\nAnswer: -2230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -11*t**2 - 11*t - 17. What is c(-2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*a - 1 - 4 + 3)*(-a**3 + 489*a**2 - 509*a**2 - 885*a + 1470*a) to w*a**3 + o*a + q*a**4 + p*a**2 + u and give p.\nAnswer: 1210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000213538 to 6 dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -76, -267, -590, -1045, -1632, -2351?\nAnswer: -3202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1986180?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 964, -1, -42, -23, -1\/16.\nAnswer: -42, -23, -1, -1\/16, 964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -8238 > -2792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 4*z = -305 + 308, -14*z + 5 = 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 229095307, 229095308, 229095309, 229095310, 229095311, 229095312?\n\"Answer: r + 229095306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 515*r - 936 = 506*r. Let u(y) = -2*y + r + 3*y - 104. Let q(x) = 0*x + 4*x**2 + 0*x. Give u(q(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y + 0 - 3 + 0. Suppose -2*g = -5*b - 46, -g = -0 - 3. Let m be d(b). Solve -23 = 5*n - 4*r, 0 = -3*n + m*r - r - 17 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -322139566 at most as big as -322139565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*n - 273 + 2829 = 0. Let h = n + 430. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13\/41595 - -1\/141. Let h = -181\/70210 + f. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/r**(-2)))**(-33) assuming r is positive.\nAnswer: r**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*t = 19*t - 5*a + 20, -t + 2*a - 8 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 3*y - 3 = 2*j, -3*y = 5*j. Solve j*q - 5 = -p - q, 4*p = -5*q - 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 less than -0.255?\nAnswer: -18.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -487*g + 13885. Give s(29).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -23 + 42. Calculate the remainder when 9*((-6)\/(-2) + 1) is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 27*f - 6. Let g(m) = -1. Suppose 0 = -594*u + 187*u - 1628. Give u*g(i) + p(i).\nAnswer: 27*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**2 - 11*v - 13. Let d be s(-10). Suppose 4*z + z - 10 = -5*j, 8 = 3*j + 2*z. Put -5, j, d in ascending order.\nAnswer: -5, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1177, 2, 27 in decreasing order.\nAnswer: 27, 2, -1177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 9\/((-18)\/8) + 2. Let p be (80 + -8)\/(s\/100). Let x be 60*1*5*p\/(-27). What is x rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -55.121 to the nearest integer.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 45.5977 + 0.4223. Round i to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**3\/2 + 3210*w**2 - 57537*w\/2.\nAnswer: -3*w*(w - 2131)*(w - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g - 3*y - 7 = 0, 15 = -5*g - 5*y - 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84961287*a - 84961287*a + 6*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1048 divided by -5.\nAnswer: 1048\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1143*l + 18932 + 7500 + 5528 + 2330 = 0 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/10*(97\/(-24) - -4). Let b(m) be the second derivative of -1\/12*m**3 + 0 + 1\/8*m**4 + m - 3\/40*m**5 + 0*m**2 + v*m**6. Let b(t) = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 3:53 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -918939, -918855, -918771, -918687?\nAnswer: -918603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11\/1 + 1 - -1163?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*1*sqrt(77))\/(1*sqrt(252)).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the first derivative of -2*w**2 + 0*w + 4\/3*w**3 - 2. Factor p(a).\nAnswer: 4*a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2950*y + 797 + 716 - 20 wrt y.\nAnswer: -2950","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2603 take away -1625296100?\nAnswer: 1625293497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1175 = -6*h - 1151 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 84 + -84.4. What is the closest to f in -3\/8, -1, -5\/4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**26\/(k\/(k*k\/(k\/(k**(-19)\/k)*k))) assuming k is positive.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 0 = 2. Let u be 0 - k*(779 + -3). Suppose 2*r = 4*y - u, -3*r + 102 - 296 = -y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1173\/23*32\/22 + 2\/(-11). Solve i*o = 5*o + 69 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (-6 - -5 - 25 - (4 - (-7 - -10))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 3, -47, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -3*z - 6*z. Suppose -h - z*h = 12, i - 5*h = 211. List the prime factors of i.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 13, 21, 21, 7, -27?\n\"Answer: -n**3 + 2*n**2 + 9*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/13?  (a) 0.4  (b) 2\/3  (c) -0.1  (d) 61\/77  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jfwf when four letters picked without replacement from wffffwffwdffdfjwjff.\nAnswer: 55\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is (13 + -25 + 11)\/(2\/(-116258)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -696140 + 696151. Suppose 0 = -0*s - 5*s - 20. What is the smallest common multiple of ((-6)\/s - 2)*-16 and q?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 - 10*b**2 + 11*b - 11. Suppose 45 = -5*n + 10*n. What is the remainder when h(n) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*y = -48*y + 1619 - 419 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10.44 + -10.37. Which is the second smallest value?  (a) 0.4  (b) -1  (c) 0  (d) 0.55  (e) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 56\/27 and 49\/453?\nAnswer: 4077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 107*v**3 + 206*v**3 - 318*v**3 + 5354*v**2 + 1271*v**2.\nAnswer: -5*v**2*(v - 1325)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -26*d - 499. Let u be q(-20). Let j be (-672)\/(-4) - 0\/(-1). What is the greatest common divisor of j and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n + 2*r - 6 = -3*n, r = 5*n + 19 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w*w**(-4\/7))\/((w**(2\/3)*w)\/w))**(-48) assuming w is positive.\nAnswer: w**(-256\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.182*3235216.\nAnswer: -588809.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 2\/129859?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1184 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 20 = -3*v, 1 + 3 = -3*p + 4*v. Suppose 0 = a - 9 + p. Put -1, a, 1 in increasing order.\nAnswer: -1, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -61 + 61. Let i = -0.208 + 0.268. What is the biggest value in i, v, 0.02?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 912 a factor of 206676528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/(6*(-3)\/48). Let k = 14 + h. Suppose k*g - 42 = 144. Is 20 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the second derivative of -w**3\/6 + w - 32. Let n(q) = -25*q**2. What is p(n(y))?\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 139*c + 1144. Let z be f(-8). Solve -52*p + z = 5*w - 48*p, 0 = 3*w - 3*p - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2797 is divided by 2751?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/72*16\/260*-15?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (40\/4)\/(380\/1938).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15125.2 + -15125. Which is the nearest to y?  (a) -0.2  (b) 4  (c) 5  (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -2 + sqrt(171) + sqrt(171) + -1 + (sqrt(171) - ((sqrt(171) - (1 + sqrt(171))) + 2) - sqrt(171)) - (-4 + 6*(sqrt(1539) + -1 - sqrt(1539)))*3)**2.\nAnswer: 324*sqrt(19) + 1413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 = 2*d + 55. Let m(k) be the second derivative of 1\/12*k**4 + 1\/3*k**3 + 0 + 1\/2*k**d + 9*k. Suppose m(q) = 0. Calculate q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.6, -2\/7, -4, 12 in decreasing order.\nAnswer: 12, 2.6, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -327569982 divided by 54594997.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 + 104202420132?\nAnswer: 104202420141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -41630240.32 rounded to the nearest 100000?\nAnswer: -41600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 1 + sqrt(11))*-5.\nAnswer: -20 - 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fmm when three letters picked without replacement from mfmm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the second derivative of 17*k**4\/12 - 18*k + 4. Let b(c) = 2*c. Give b(i(z)).\nAnswer: 34*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28)\/12*(-10)\/5635*-7.\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 5, e: 1, p: 1, x: 1, m: 4, b: 1}. Give prob of sequence cbm.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-10)\/(-3) - (32\/24 + -2). Solve 3*c - 5*c = d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.14 + -18.06. Let k = -20 - i. Let v = k + -2.2. Sort v, -4\/11, -2\/9.\nAnswer: v, -4\/11, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}