{"text":"Question: What is the smallest common multiple of 4028 and 456?\nAnswer: 24168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.01 + -0.51. Let g = -6 + 5.9. Which is the second biggest value?  (a) r  (b) g  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p and 1 w when four letters picked without replacement from prpnprwnwnnnnnwnp.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.3 - -5.7. Let v = 3 - a. Let r = -2.5 - -2.1. What is the biggest value in 2, v, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -99, 0 in decreasing order.\nAnswer: 3, 0, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2 and 382.\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 3*f**4\/8 + 23339781*f**3\/8 - 11669895*f**2 + 23339793*f\/2 = 0.\nAnswer: -7779931, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 14*p**2 + 10*p**2 - 17*p**2. Let w(r) = -8*r**2. Calculate w(g(d)).\nAnswer: -392*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 32*v**3 - v**2 + 1. Let n be g(1). Suppose 11*h + 120 = 15*h. Let p = n - h. Calculate the smallest common multiple of 22 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 158280943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -668 + 875. What is the remainder when y is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3.5091 and 3.\nAnswer: 10.5273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -8\/3, 20\/29, -3, 3, 2?\nAnswer: 20\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 20 - 5. What is the remainder when 57 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 540 - 224. List the prime factors of c.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 22 = 4*o, -4*h + 10*o = 7*o - 23. Sort h, -21, -9, 4 in ascending order.\nAnswer: -21, -9, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 72 and 136?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**2 - 16*p**2 - p**2)*(0 + 5 - 4).\nAnswer: -19*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 d, and 2 k when four letters picked without replacement from {b: 4, d: 2, k: 3}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 11*c**3 + 6*c**2 - 5*c - 14. Let j(p) = -p**3 - 2*p**2 - p - 1. Let n(u) = -3*j(u) - m(u). What is the first derivative of n(w) wrt w?\nAnswer: -24*w**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1412914 to the nearest integer?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 40 - 279\/7. Let r be (1 - 7\/3)\/(1\/(-3)). Let k be ((-3)\/r)\/((-3)\/(-19 - -7)). Which is the third biggest value?  (a) 0.5  (b) o  (c) k  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -5, 3068, 0.\nAnswer: -5, 0, 13, 3068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 843626 by -1.\nAnswer: -843626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**2 + 9*m + 111. What is k(-8)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 202042 - 244?\nAnswer: 201243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -31768 by 44.\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pqz when three letters picked without replacement from {p: 6, z: 1, q: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 2*t - 1 - 7, -3*t + 23 = -4*c. Solve t*l + v - 20 - 6 = 0, -2*v + 12 = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 7, 143, 21, 8 in descending order.\nAnswer: 143, 21, 8, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*v - 52*v + 20 = b, 0 = 2*b - v - 28. Suppose p + 0*p - 93 = 0. Calculate the remainder when p is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*g + 10*g + 4*c - 11189, 2*g + 9*c + 22293 = 0. Which is bigger: -11168 or g?\nAnswer: -11168","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23186840737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the second derivative of -z**7\/840 + z**6\/240 - z**4\/6 - 3*z. Let y(k) be the third derivative of b(k). What is the second derivative of y(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 322.3 + -26.3. Let o = 296.494 - u. What is o rounded to two decimal places?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -524020, -1048033, -1572046, -2096059, -2620072, -3144085?\nAnswer: -3668098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -75308, -74478, -73652, -72830, -72012, -71198?\nAnswer: -70388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**3 - 4*h**2 + h + 1. Let u be y(4). Let c be 36\/(-144) + 81\/4. Put -4, c, 1, u in increasing order.\nAnswer: -4, 1, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ozoo when four letters picked without replacement from {o: 3, z: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the first derivative of 439*h**5\/5 - 4*h**3\/3 + 147*h**2 - 655. Find the second derivative of m(v) wrt v.\nAnswer: 5268*v**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 2:56 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s + 4. Let j be k(-2). Suppose j*g - x = 259, 4*x = -2*g - 2*g + 548. Is 33 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 divided by -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 799 in -4, 0.13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 768101 a multiple of 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w + 5*u - 7 - 16, -3*w = -u - 5. Let l(p) = 3*p + 6. Let r be l(5). Calculate the highest common factor of r and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 185900374 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -7*i + 3*i**2 - 6*i**2 + 2 + 9*i**3 - 8*i**3. Calculate the remainder when 49 is divided by r(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23*-3371.\nAnswer: 77533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5483 - -5508. Solve -8*q - z = 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 865 - 858. Let u(l) be the third derivative of 0*l**3 + 0 + 1\/35*l**d + 0*l + 7\/30*l**5 + 1\/6*l**4 - 8*l**2 + 2\/15*l**6. Suppose u(g) = 0. Calculate g.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -4*x + 968, 5*g - 528 + 22 = -2*x. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (114\/36 - 3) + (-27)\/90. Let y = -54 + 53.99. Sort 2\/3, c, 1, y.\nAnswer: c, y, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2255, -2263, -2285, -2327, -2395, -2495?\n\"Answer: -p**3 - p**2 + 2*p - 2255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 2 a when four letters picked without replacement from cczzzzzaczzzccczzcz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3659, -3632, -3585, -3518, -3431?\nAnswer: -3324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the second derivative of -11 - 1\/10*o**6 + 3\/20*o**5 - 1\/12*o**4 + o + 0*o**3 + 0*o**2 + 1\/42*o**7. Suppose y(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 35089718930 to the nearest one million.\nAnswer: 35090000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-245)\/9*(-4923)\/2735?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of 4*z**5\/5 + 5*z**4 - 28*z**3\/3 - 10*z**2 + 24*z - 61. Factor p(i).\nAnswer: 4*(i - 1)**2*(i + 1)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + 18 + 2 + (7 - 16)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 376\/(-48) + 1*8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**3 - f**2 + 4*f - 3. Let i be 5*(-2 - (-26)\/10). Let c = -1 + i. Give m(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*f = 36*f - 68150. What is the least common multiple of 25 and f?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 12*k**3 + 4*k**2 - k - 1. Let i(t) = -t**3 - t**2 + t + 1. What is i(b) + p(b)?\nAnswer: 11*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**2 - w. Let x(f) = 2769*f**2 + 25*f + 80. Let o(a) = 6*r(a) + x(a). Let p be o(32). What is p rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h - 4*i + 46, -5*i + 20 = -h + 3. Let t = -15 - h. Calculate the smallest common multiple of t and 27\/(-3)*8\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = 6*k - 169. Suppose k*q - 17*q + 24150000 = 0. What is q rounded to the nearest 100000?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (7 + 1)*((-65)\/20 + 5). Suppose 12 = 3*f - 2*j, -4*f + j = -25 + b. Solve 0 = 3*v + 5*c + 28, -c - 3*c - 18 = -f*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from syssyss. What is prob of picking 2 s and 1 y?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5719 - 3182 = 16*t - 254*t - 333 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 55 in 40, -3, 0.1?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 87\/3 + 8541\/(-219)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1736)\/(-3038))\/((-1)\/7) + 408\/32*-4?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 30a62 (base 12) to base 15\nAnswer: 13d32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -5*c + 5*o, -2*o = -2*c + 3*c - 10. Let y(z) = -2*z**2 - 4*z + 6. Let f be y(-3). Solve 2*a = -5*g + c*g, f = 3*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*u**2\/3 - 2704*u\/3 - 456976\/3 = 0. What is u?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -13.222748 times 1?\nAnswer: -13.222748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -4989, -5046, -5139, -5268?\n\"Answer: -18*d**2 - 3*d - 4968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -5*r + 5*k - 6, 5*r + 12 = 3*k. Let w be r\/(-3 + (-510)\/(-172) + 0). Suppose 3*d + w - 4 = o, -o - 4*d = -89. What are the prime factors of o?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110001101101 (base 2) in base 12?\nAnswer: 1a11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -30, 0.04, 0?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - x - 20 = -5*b, -5*x = 3*b - 12. Let r = x - -1. Suppose 4*l = 5*u + 2, -r = l - 3*u + 2. Solve -2*v + 8 = 0, -5*g - l*v + 2*v - 16 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 smaller than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the third derivative of -d**4\/8 + 2*d**3\/3 + d**2. Let x be 18*2\/(-7)*(27 + (-12247)\/444). Determine j(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2475207 and 12726?\nAnswer: 4950414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -16*z**2 - 7*z - 3. Let u(t) = -5*t**2 - 2*t - 1. Determine -2*r(m) + 7*u(m).\nAnswer: -3*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -26.189 + 30.97. Let f = l - 0.081. Let p = f - 4.70027. Round p to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 93184 + -62804. Round n to the nearest 100.\nAnswer: 30400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2557935683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 228978 and 666?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 25 = 20. Suppose -11*g + x*g = -10. Find the second derivative of q**4 - q**4 - 13*q - 10*q**g + 4*q wrt q.\nAnswer: -200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*1*63\/1428.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = 9*b - 64. Differentiate -49 - 8*h**4 + 3*h**b + 39*h**4 wrt h.\nAnswer: 136*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 2*p = 4*b - 87, 4*p = 2*b - 56. Solve 2*g - 4*f + 3*f + 4 = 0, -b = 4*g + 3*f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14, -18, -22, -26, -30, -34?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, -1, -1\/5, 0, -76573?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the third derivative of -87*h**6\/10 + 127*h**3 - 581*h**2. What is the derivative of t(q) wrt q?\nAnswer: -3132*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-15 + 0)*(49\/(-5) - -2). Suppose -2*y = -c - a, -5*y - 3*c + 287 = -0*y. Is -1 + (y\/(-8))\/(7\/(-28)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(-11) - (2 - 194049\/(-132)). Let l = -1464 - p. What is the common denominator of 83\/2 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3590 + -10025. Let h be (2\/(-6))\/(39\/r). What is the highest common factor of 77 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 34 + -31. Suppose 3*f - 4*z = -8*z + 48, z + 33 = r*f. Let l(t) = -8*t. Let h be l(-3). What is the greatest common factor of h and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -27 - -31. Sort 1\/12, -3\/2, v.\nAnswer: -3\/2, 1\/12, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1878 is divided by 459?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 3*t**3 - 7*t**2 + 22*t - 14. Let o be g(6). Let j = o - 514. Solve -4*h - 2*a + 1 + 7 = j, 3*a = -h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2608 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the third derivative of 0 + 0*i + 3*i**2 - 1\/3*i**4 + 1\/60*i**5 + 5\/6*i**3. What is the remainder when q(10) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -4*v + v - 5 + 2 + v. What is c(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 1)*(3 + 5 + 20)*((-38*o + 22*o + 17*o)*(0 - 1 - 1) + 0*o - o - o).\nAnswer: -112*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 600*z**3 + 692*z**3 + 2*z**2 + 605*z**3 - 2*z**2 - 1900*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**3 - 7*p**2 + 4*p + 2. Let o be ((-5)\/(-1) + 1)\/1. Determine a(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**3 + 8*a**2 - 10*a - 5. Let p be c(-9). Let l(u) = 0 - 1 + p*u - u - u. Suppose 26 = 4*v + 2. Give l(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2572, 0, 9.\nAnswer: 0, 9, 2572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c*c**(-5\/9)))\/(c*c**25*c))\/(((c**(-1\/21)*c)\/c)\/c)**20 assuming c is positive.\nAnswer: c**(-346\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 872903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.04 - -0.04. Let q = n - 0. Sort 1\/3, -0.4, q.\nAnswer: -0.4, q, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 547019061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5415389*i**2 + 10830777*i + 2.\nAnswer: -(i - 2)*(5415389*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**2 + 22*t + 19. Let y(p) = -47*p - 2. Calculate the remainder when y(-2) is divided by x(-22).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 21 - 10. Let q = n - -7. Calculate the remainder when 53 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -a**4 + 4*a**4 - 399*a + 382*a - 4 + 6*a**2 - 5*a**2 as h*a**2 + y*a**3 + z + w*a + i*a**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 106811805 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((r**(1\/9)\/r*r)\/r*r)\/r)**1)**8)**(-44))**(-9\/10) assuming r is positive.\nAnswer: r**(-1408\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 447\/2*i + 223\/2 + i**2.\nAnswer: (i + 223)*(2*i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.134 - 1.866. Let q = 5.02 + -0.02. Sort u, -5, q in decreasing order.\nAnswer: q, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5302517?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 565, 549, 537, 529, 525?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**2 - 1723*h + 39112. Determine k(23).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 340*w**2 + 48365*w - 13024980. Let k(t) = 37*t**2 + 5374*t - 1447220. Let i(h) = 6*f(h) - 55*k(h). Factor i(q).\nAnswer: 5*(q - 538)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 349825 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z\/((z\/((z**(-1)*z)\/z))\/z))\/z)**(23\/2)*(z**0)**(-1\/17) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 3*i + 2. Suppose -o - 4 = 2*y, y + 3*y + 2 = -3*o. Let p(g) = 2*g + 1. Give o*t(n) - 10*p(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.02 + -2.02. What is the second smallest value in 0.5, r, -0.08, 1\/5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 3312, 3255, 3198, 3141, 3084?\n\"Answer: -57*x + 3369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3480 - -3483. Solve -u*p + 5 = 5*i, 0 = -0*i - 4*i - p - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -2*v**2 - 8*v - 3. Let d(t) = t**2 + 4*t + 2. Let s(x) = -7*d(x) - 3*r(x). Let y(w) = w + 1. Calculate 2*s(l) + 9*y(l).\nAnswer: -2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**3 - p**2 + p + 33. Let c be -2 - 4\/(-1 + -1). Is z(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 21*n + 2273. Determine h(-111).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from vvpttlmxlmxx.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 137\/7980 and 67\/2790340.\nAnswer: 8371020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 3:37 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -39?  (a) 0.2  (b) -0.3  (c) -1\/4  (d) -1\/3  (e) 132.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -19*d - 1. Let t = -464 - -483. Calculate the remainder when l(-4) is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28393144 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/((-45)\/12)*130375\/4172.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 949981537 is divided by 649?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.005354 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2 + 40*i + 1904.\nAnswer: -(i - 68)*(i + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the third derivative of q**4\/8 + q**2. Let t(u) = 3*u. Let m(l) = 2*t(l) - 3*v(l). Let d(c) = -3*c. Determine m(d(f)).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 309940 and 3860?\nAnswer: 59818420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:30 PM and 3:07 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 3, g: 2, r: 1, w: 3, l: 1}. Give prob of picking 1 r and 1 g.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dbyao. What is prob of sequence yab?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -303*m - 2440 = -308*m. List the prime factors of m.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4700216 - 0?\nAnswer: 4700216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(1\/4)\/(b*b**(-2\/5)*b*b))\/((b*b**(2\/19))\/b)**(-3\/11) assuming b is positive.\nAnswer: b**(-9703\/4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 165614, 331212, 496806, 662396, 827982?\nAnswer: 993564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from qkqqqqckqqkqkkqqq.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1146 is divided by 108.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -75*f + 71*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the second derivative of 1\/1440*i**6 + 0*i**2 + 0*i**4 + 3*i + 0 - 1\/480*i**5 + 1\/2*i**3. Let h(n) be the second derivative of l(n). Factor h(s).\nAnswer: s*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*((l*l*l\/l**(19\/4)*l)\/l)\/l*(l\/l**(-31))\/l assuming l is positive.\nAnswer: l**(117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 9012, 9006, 8986, 8946, 8880, 8782?\n\"Answer: -n**3 - n**2 + 4*n + 9010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8312 is divided by 163.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**2 - 14*i - 34. What is v(12)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -54 from 0.03.\nAnswer: 54.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.025, 3, -31\/5 in increasing order.\nAnswer: -31\/5, -0.025, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 141\/24 + 1\/8. Let z = j + -5. Let w(r) = -5*r + 1. Calculate w(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 161 and 2240?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*d**3 + 7*d**3 - 38*d**3 + 19*d**3 + 0*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 71 + -14. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22 + 4263\/(-29) + 48.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2255 or 1?\nAnswer: -2255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 64470 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1478889 divided by 49?\nAnswer: 1478889\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -3*w - 17*w - 15*w. Let b(i) be the third derivative of -i**4\/8 - 2*i**2 - 6*i. Determine b(c(p)).\nAnswer: 105*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 - -16) + 60\/10 + -5. Is p\/3 - (-7504)\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 330 and 99?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10810*t**5 - 2*t**4 - 451*t**3 - 385*t**2 - 3*t - 1691 wrt t?\nAnswer: -648600*t**2 - 48*t - 2706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**2 - 5*y - 1. Let a be w(5). Let n(i) = i**3 - i**2 + 1. Let z(j) = -36*j**3 + 45*j**2 - 45. Determine a*z(m) - 45*n(m).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d - 29 - 232. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 9 = m, -2*d + 6 = -4*d - 2*m. Suppose -7*r + 3*r + 16 = 0. Let o(y) = -5*y - 3*y**2 + 3 + r*y + d - 7 - y**3. What is o(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*u - 1 + 1 - 31*u + 4*u - 43*u + (-12*u - 9*u + 20*u)*(-1 + 3 + 1) to y + x*u and give x.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 175 + -487. Let y be -1*2 + w\/(-108). Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 162  (b) -5  (c) -1  (d) -2\/51  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -23*o**2. Let p(b) = 24530*b**2 - 625*b. Determine p(f(r)).\nAnswer: 12976370*r**4 + 14375*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*u - 4 = 33*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2587816859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3860824 is divided by 68.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ccccbpcccyccy?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(720)*-3 - sqrt(720)) + 3 - sqrt(720)) + sqrt(720) + 2 + -2 - (sqrt(720) + sqrt(720) + -2 + -4 - -1*-1*sqrt(720)))**2 + 0.\nAnswer: -1080*sqrt(5) + 18081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 475024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c**3 - 45*c**2 - 3*c + 45 = 0.\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 423*a**5 + a**4 - 450*a**2 wrt a.\nAnswer: 25380*a**2 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1\/12, -2\/11, 0.1, 0.2, -123\/5, 0.53, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 10516 + 932 = 4*z, 0 = 5*y + 2*z - 11952. What are the prime factors of y?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 774048 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -693 + 10e?\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 + 2*z**2 - 15*z + 2. Let y be v(-5). Suppose y*w - 538 = 5*f, 0 = -3*f - 8 + 2. What is the remainder when w is divided by 67?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*x + 171 - 136 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:45 PM and 8:58 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 2*m + 24. Let k be r(-7). Suppose 0 = y - 3*u + 3, 3*y - 3 = -k*u + 7*u. Is 1\/129 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 - -9. Let z = -55.9 + 56. Put h, 0.2, z in increasing order.\nAnswer: z, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*v**3 + v**3 - 3*v**3 + (-5*v**2 + v**2 + 3*v**2)*(-2 + 5 - 2)*(v - 3*v + v) as q + k*v + f*v**2 + t*v**3 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (24 + -34)*(0 - (-1 - -2)). Solve -9*q = -y*q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, j: 12}. What is prob of sequence jjjj?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 150, 144, 138, 132?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -91, 3, -15, 0, 15 in descending order.\nAnswer: 15, 3, 0, -15, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 4405, 0.2, -12, -2, -1\/7, -5 in increasing order.\nAnswer: -12, -5, -2, -1\/7, 0.2, 4405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -56 - 68 + 218*k + 124 to the form j*k + p and give j.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -588 - -559.7. Let d = k + 28.31. What is the smallest value in -4, d, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 275654812 and 275654813 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 (base 5) in base 2?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**27\/(r**(-4\/29)*r) assuming r is positive.\nAnswer: r**(758\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from {q: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b = 3, o - 25*b = -20*b - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 8251077 to the power of 1\/2, to the nearest integer?\nAnswer: 2872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 34\/85*(-2 + 43\/14). Suppose -2*w + 2*l + 2*l - 26 = 0, 2*w + 3*l = 9. What is the nearest to -0.1 in 0.1, w, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1073 a factor of 1440808361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6917974 to the nearest integer?\nAnswer: 2630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -87*j**3*r**3 + 248*j**3*v**3 + 25481*j**2*r**3*v**3 + 24*j**2*v**3 + 89*r**2*v**3 wrt r?\nAnswer: -522*j**3 + 152886*j**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -307 - -797. List the prime factors of m.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 - 2\/4) + 126\/(-108). Let m = -129.04 + 129. Which is the third smallest value?  (a) 2\/7  (b) h  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1134, -9, -4 in decreasing order.\nAnswer: 1134, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-6)\/(-10))\/((-2)\/(-20)). Suppose p*l - 3883 = -1411. Suppose -3*v = -5*k + 4753, k = -2*v + 536 + l. What is k rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77493 is divided by 1934.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the second derivative of l**4\/6 - l**3\/2 + 4*l**2 - 12*l. Let b be (3 - (-21)\/(-9))*-6. Is 10 a factor of p(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 6*a - 4 = -25, 30 = 5*z + 5*a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uus when three letters picked without replacement from rrursusrrdssqruqss?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 - -5 - 42\/9*3. Calculate the common denominator of -35\/11 and (-146)\/18*(-5)\/f.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**2 - 14*f + 37. Suppose -33*u - 22 = -35*u. Let k be n(u). Solve k*s + 2*w + 10 = -14, -3*s = -w + 13 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of -j**4\/4 - j**3\/3 - j**2 - j + 2. Let h(d) = -1 + d + 4 + 2. Let l be h(-7). Determine b(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((10\/3)\/5)\/((-56)\/(-252))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 5*b = 15, -3*i - 5*b = -4*i + 27. Differentiate 4 - 4*g**2 + 4*g**i + 2*g**4 with respect to g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express j + 3*j**2 + 9*j**2 + 2*j**2 + 0*j**2 as s*j**2 + f*j + n and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 54*k - 3 - 48*k - 2 + 5. Let c(t) = 2*t**2 + 42*t. Determine c(i(h)).\nAnswer: 72*h**2 + 252*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 10*d**5\/3 - 26*d**4 - 856*d**3\/3 - 2464*d**2\/3 - 960*d - 1184\/3 = 0.\nAnswer: -2, -1, 74\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 26*k + 703. Let j be s(-26). Solve 41*b = j*b + 112 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 - -96. Suppose -3*d + 210 = -x. Calculate the remainder when d is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5 + 0*p**2 + 3*p - 3*p - 7*p**2 wrt p?\nAnswer: -14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00178182 rounded to six dps?\nAnswer: -0.001782","meta":{"dup_signals":{},"source":"numbers__round_number_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: Let b be (-2)\/4*(-80 + 4). Let z(j) = b*j**2 - 13*j**2 + 8*j**2 - 3 - 4*j. Is z(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -3*a**2 - 1 + 1. Let p(q) be the first derivative of -3*q**3 - 3207. What is p(g(m))?\nAnswer: -81*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/(-6)*5 - -15. Solve c - 4 = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/4)\/(9 - (-387)\/(-36)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**2 + 0*q**2 - 23*q + 16*q. Let v be l(7). What is the units digit of v - (4\/4 - 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1*(-2 - 27\/(-15)). Let g = 5 - 1. What is the closest to -2\/7 in c, -4, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**3 - 26*c**2 + 19*c + 3. Let f be p(24). Let b = 696 + f. Factor 0 - 2\/3*w**4 + 0*w**2 + 0*w + 2\/3*w**b.\nAnswer: -2*w**3*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*4\/(-9)*12\/32?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -89 + 2875507\nAnswer: 2875418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -244400 or -3112?\nAnswer: -244400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1675 - 580. Suppose v + 2*v = 12, 5*v = 5*l - j. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 2*w**2 - w + 12. What is q(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 219, 431, 643, 855, 1067?\n\"Answer: 212*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h + 2*f - 24 = 0, -f - 15 + 9 = -2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 558856948?\nAnswer: 2, 13, 373, 28813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -0.5, 1\/3, 4, 96?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -2*q + 28. Suppose -q = d - 24. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 172878230, 172878231, 172878232, 172878233?\nAnswer: 172878234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9\/80 + -23\/80. Is 234 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1662 + 1661.9. Is c greater than -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52\/5 of a tonne in kilograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 23761 divided by 4?\nAnswer: 23761\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 406*y - 182*y**2 - 3 - 407*y + 6 in the form s + z*y + f*y**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 482142 = 23*k + 480371 for k.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cczcv. What is prob of picking 3 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 25883 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 654 = -5*f + 664, h - 3*f - 11 = 0. Solve -44*o + h = -61*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11516*k - 162*k = 29*k + 951300 for k.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 46445395700 to the nearest 1000000.\nAnswer: 46445000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70 = -5*v + 2*p + 50, -3*v - 21 = -3*p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 72\/(-162) - (-3 - 82\/(-18))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the third derivative of j**6\/24 - 8*j**5\/15 + 23*j**4\/10 - 24*j**3\/5 - 15*j**2 - 7. Suppose t(h) = 0. What is h?\nAnswer: 6\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -24*h. Let d(v) = -11*v**2. What is x(d(f))?\nAnswer: 264*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 0.3, 55\/6, -118, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 445 a factor of 5237491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*s = -51*s + 640. Let o = s + -129. Let i(v) = v**3 - 1. Calculate i(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the third derivative of g**6\/120 - 7*g**5\/60 + 19*g**2. What is the third derivative of t(z) wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**2 - 32*d + 69. Let v be k(-32). Is v at least 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the first derivative of n**3\/3 + 4*n**2 + 14*n + 52917. Suppose -6 = t - 2. Calculate y(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3340, -5\/2, 3\/5, 3\/4, 2\/11 in descending order.\nAnswer: 3\/4, 3\/5, 2\/11, -5\/2, -3340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -151 - -151.268. What is q rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 5, z: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -24 + (0 - -11) + (-10 - 33 - -42)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 252 = -2*l, 5*f + 698 = 5*l + 38. Does 26 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -114, 99 in decreasing order.\nAnswer: 99, 8, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -74 (base 15) to base 5.\nAnswer: -414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -208*n - 565*n + 193392 = -1870*n - 2695*n for n.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -6*r + 21. Let p(m) = -2*m + 7. Give 2*a(h) - 7*p(h).\nAnswer: 2*h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sscsaccscaacwcw. Give prob of picking 1 c and 2 s.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 274846.6ml?\nAnswer: 274.8466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 9*l - 53. Let z(x) = -7*x + 52. What is 4*j(k) + 5*z(k)?\nAnswer: k + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of -z**2 + 2. Let v = -123 + 127. Let h(t) = -3*t**2 - v*t**2 + 9*t - 9*t. What is h(p(b))?\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.245 hours in minutes?\nAnswer: 734.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12 - 12. Solve -3*q = 12 - x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the first derivative of 9*d**5\/5 - 9*d**2\/2 + 183*d - 89. Find the first derivative of t(p) wrt p.\nAnswer: 36*p**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 866 + -838. Calculate the least common multiple of 12 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 2*d. Let c(r) = 33880*r + 1. Calculate s(c(q)).\nAnswer: 67760*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14\/28)\/(6 - 11).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 - 235.090925?\nAnswer: -234.590925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 25388 - 25261. Which is greater: 253\/2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -8*s**2 + 6*s - 50. Let m(b) = -b**2 - b. Let y be 2 + 2\/((-10)\/15). Let u(p) = y*z(p) + 6*m(p). Differentiate u(j) wrt j.\nAnswer: 4*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -33\/87584 and -31\/853024.\nAnswer: 101509856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 4  (b) 826  (c) 2\/15  (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 459.9 - 459.6. Let g be (6\/(-5))\/(2\/(-5)). Let w be (2\/12)\/(g - 4). Is h at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 10*r**2 - 109*r. Give a(9).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (12\/(-14))\/(6\/(-28)). Sort -1\/5, c, 2\/7.\nAnswer: -1\/5, 2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 51606 divided by -3400.\nAnswer: -25803\/1700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 188284101 to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -155*f + 41 + 72 = -42 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15010 - 14758. Solve w*g - 284*g = -64 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y**2\/5 + 891*y\/5 + 11616 = 0.\nAnswer: -55, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4338218*i*o*z**2 - 1934*i*z - i + 17*z**2 + 1 wrt o.\nAnswer: 4338218*i*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 17105835*b + 3604488.\nAnswer: 17105835","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**2 - 4*c + 9. Let h be s(3). Let i be 1*(h\/15 + (-6)\/(-10)). Find d, given that 1\/2*d - 1\/2*d**2 + i = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that u**4\/4 + 6*u**3 - 659*u**2\/4 + 807*u\/2 + 574 = 0.\nAnswer: -41, -1, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -109 + 506?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2*27\/18*4\/3. Let x be -3*-5*(-2)\/(-2). Solve 3*f - 2*t = -x, t + r = -3*f - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**13)**4*g\/(((g\/(g**(17\/4)\/g*g)*g)\/g)\/g)*g*g\/(g**5\/g))**(-1\/83) assuming g is positive.\nAnswer: g**(-221\/332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times -11685491?\nAnswer: 3505647.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 33*y + 34. Let h(s) = 4*s + 4. Let z(q) = -2*b(q) + 18*h(q). Let l(v) = -11*v**2. Determine l(z(n)).\nAnswer: -396*n**2 - 528*n - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -1432  (b) 2819  (c) -2  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 20 = 0, y + 2*p = 5*y - 22. Let d be 0*(70\/25 - y). Solve 4*i - 5*i - 1 = d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.8 in -0.1902, -758, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 208*o - 210*o + 16 = 0. Suppose -2*x = -4*x + 36. Calculate the smallest common multiple of x and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*w + 166719*w**2 - 166719*w**2 + 0*w - 5*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6\/(-40))\/(26\/(-5785)). Let g = s - 33. What is the third smallest value in g, -4, -1\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 69684982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pbl when three letters picked without replacement from bbbpl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 80, 545, 1768, 4115, 7952, 13645, 21560?\nAnswer: 32063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 32*k - 35*k + 927. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (19\/((-20007)\/18))\/(((-680)\/45)\/17)?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -t**2 + 7*t + 0*t**2 - 2 + 2*t**2 + 5*t to p + j*t**2 + i*t and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -5*s + 14. Let a = s + -2. Suppose -2*n - 2*n + 40 = 0. What is the lowest common multiple of n and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -79.00291 + 79. What is h rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 5 = -0*v. Let g be (-3 + -1)*v\/6. Is g at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-8700)\/90)\/((-2)\/15).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 264*w**2 - 13984*w - 420. Let f be r(53). Factor -43\/2*j - 17\/2*j**3 + 7 + 45\/2*j**2 + 1\/2*j**f.\nAnswer: (j - 14)*(j - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-18)\/4)\/(-3)*2. Solve -5*g = 4*z + 9, -8*z + o*z + 3*g - 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 184931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the third derivative of -11*a**5\/12 - 11*a**3\/3 + 35678*a**2. Let w be 33\/(-2)*4\/3. Let z(r) = -8*r**2 - 3. Calculate w*z(p) + 3*q(p).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 65, 155, 241, 323, 401, 475?\n\"Answer: -2*z**2 + 96*z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2404332 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -26 divided by 4593956\nAnswer: -13\/2296978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**3 - 19*r**2 + 20*r - 27. Let g be h(18). Let w be 856\/36 + 2\/g. Calculate the greatest common divisor of 168 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 1582 = -2*o - 0*o, 2*g + 4*o - 776 = 0. Let b = -170 + g. Suppose 9 = -w + b. List the prime factors of w.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/28125751 and -73\/6022.\nAnswer: 56251502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 81.2 - -5.8. Let l = 39 - z. Let x = l + 48.0000105. Round x to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -22 in 3\/2, 50, -0.45?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 41\/(-205) - (-9531)\/(-15)*-3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k - 3*o + 370 + 3, 3*k - 251 = 5*o. Calculate the remainder when 535 is divided by k.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -145\/32214 and 5\/1947?\nAnswer: 354354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -68730 <= -68501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -67 + 76. Suppose 0*j = s*j - 504. Let d = j + -23. Solve 2*a - d = -5*k, k - 45 = -4*k - 5*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4017 = -188*h + 872*h + 9663 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -14733  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 9*b + 25 = 14*b, -2*p + 2*b + 6 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -43*p + 28*p + 0 - 2 + (-9*p + 0*p + 4*p)*(0 - 7 + 1).\nAnswer: 15*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41, -58, 2, -0.4.\nAnswer: -58, -0.4, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 756366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9221 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 1)*(0*l - 3*l + 4*l) + 3*l + l - 2*l + l - 4*l + 2*l + 1 - 1 - l + 2*l + 0*l + 0*l - l + 8*l - l + (2*l - l + l)*(-1 + 4 - 1) - 2*l - l + 6*l.\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -137027, -274380, -411733, -549086, -686439?\n\"Answer: -137353*t + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 233816*z. Let t(p) = -373*p. Determine u(t(a)).\nAnswer: -87213368*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.032922 + -83.010278. Let a = -83 - p. What is a rounded to 3 dps?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*i + 0*i - 2*i - 2*i + 6*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 1759 = -5*c - 1771, 4*c + 6 = q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1702*h - 23617 = 1493*h. Which is bigger: 97 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xzxz when four letters picked without replacement from zzzzzzzxzzxzxzzzxzx.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of -3*c**7\/35 + 17*c**3\/3 + 13*c**2 + 15. Let s(v) be the second derivative of d(v). Find the first derivative of s(y) wrt y.\nAnswer: -72*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -36 + (27 - (-45 + 61))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -88755 + 88779. Let d(c) = -3*c**3 - 5*c**2 - 2*c - 6. Calculate the remainder when d(-4) is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -9*h*p*q - 8*h*p - 98*h*q - 2*p*q - 76*p - 69 wrt h.\nAnswer: -9*p*q - 8*p - 98*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, -17.5, -119?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.140685629 rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19560 is divided by 6516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, -9, 1, 0, 79 in descending order.\nAnswer: 79, 2, 1, 0, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n + 4*m + 10, 0 = -n + m + 1. Suppose -g + 14 = g + 2*l, 2*g - 2 = 4*l. Suppose -g*o + 3*h = -o + 4, 0 = -o + 3*h + 8. Is o > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86*u - 11 = 85*u. Suppose -5*j - 20 = 0, -3*j = -3*i + 6*i - 30. What is the remainder when i is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, x: 2, p: 1, r: 3, t: 3, z: 2}. What is prob of sequence ro?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.04 * 0.1808337.\nAnswer: -0.007233348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 108*p**4 + 3*p**2 + 89*p + 2.\nAnswer: 1296*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s + s - 2*s)*(-357 + 1029 + 2090 + 395 - 189).\nAnswer: -2968*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 453*v**3 + 4*v**2 - 3*v + 2. Let p be n(3). Suppose -2*a = 2*a + 4*d - p, 0 = -a - 5*d + 3049. Let u = 4322 - a. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9513, 9504, 9481, 9438, 9369, 9268, 9129, 8946?\nAnswer: 8713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -255 - -275. Calculate the remainder when 45 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1143, 4589, 10333, 18375, 28715?\n\"Answer: 1149*m**2 - m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 4*d = 13, -699*r + 701*r = 2*d + 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2075*n**2*y**2 + 3*n**2*y - n**2 + 35*n*y**2 + 296*n*y wrt n.\nAnswer: 4150*y**2 + 6*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 604549.\nAnswer: 11, 54959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**2 + 3*s - 23. Suppose 199 = 24*n + 367. Give f(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -705893*n*w + 16656*n + 1 wrt w.\nAnswer: -705893*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -5*o - 39. Let x(s) = 4*s + 52. What is the remainder when x(-8) is divided by h(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*o*p**2*z + 3*o*p**2 - 4*o*p*z + 34*o*p - 2*o*z - o + 945*p**2*z + 182*p**2 + 35*p*z - 238*p wrt p.\nAnswer: -4*o*z + 6*o + 1890*z + 364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -18*l + 2. Let r be g(3). Let p be 2\/7 + r\/(-14). Suppose -3*c + p*b + 16 = -c, -3*c - 3*b - 3 = 0. Solve 0 = -3*o + o - c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 11351, 22669, 33987, 45305, 56623?\n\"Answer: 11318*y + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times 760?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-8)\/h*h**(-2\/41)*((h**(2\/3)\/h*h*h)\/h)**(-1) assuming h is positive.\nAnswer: h**(-1195\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 90649 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - -1010011?\nAnswer: 1011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -7*f - 4. Let r(a) be the third derivative of -a**4\/24 + a**3\/6 - 4*a**2. Let m(n) = -5*r(n) - z(n). What is the tens digit of m(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-2)\/1)\/(525\/535 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p**4 + p**3 - 6*p**2 - 4*p + 8 = 0. Calculate p.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and -1109?\nAnswer: 332.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 2507, 4916, 7233, 9470, 11639?\n\"Answer: 2*l**3 - 58*l**2 + 2569*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Solve 2061 - 2051 = 2*h - 5*l, -h + l + 2 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-45))\/((-3 - -11)\/(-40))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from enef. What is prob of sequence fee?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 111.3 - 111.307656. Round r to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 6 = -2*w, -2*p - p - 4*w = 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*t - 19*t + 6*t**3.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:55 PM and 4:00 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m - 7*q + 3*q - 4, 3*m - 4*q = 25. Suppose 3*i = 8*i - m*v - 7877, 3156 = 2*i + 4*v. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, -44, 33\/125, 0, -3\/8, 5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 6*y**2 + 5. Let t(b) = b**2 + 1. Let n(z) = g(z) - 5*t(z). Let h(p) = 6*p**2. Give n(h(o)).\nAnswer: 36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.9 - 1.1. What is the nearest to -2 in -0.1, w, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rqrsubqrpbbpp. What is prob of sequence uqp?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/9*18*(-2)\/(-20)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 184753.\nAnswer: 184753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 122\/5 + (-24)\/(-40). Calculate the highest common divisor of w and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p + p + 3*p)*(-2 - 2 + 3) + 10*p - 15*p - 38*p.\nAnswer: -44*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 120*n**2 + 8. Let p(v) = 10*v. Determine j(p(x)).\nAnswer: 12000*x**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 4*o + 56. What is t(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4251132570 to the nearest integer?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -894, -3566, -8020, -14256?\nAnswer: -22274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.709 + 0.021. Let r = g - 0.23. What is the nearest to -2\/7 in -2, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 430 = 8*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 6*c. Let k(u) = -23838*u**2 - 1 + 1 + 0 + 23927*u**2. What is k(p(y))?\nAnswer: 3204*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2202 is divided by 170?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22752, 22743, 22734, 22725, 22716, 22707?\nAnswer: 22698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/5 of a centimeter in micrometers?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 40 + -3 + 2 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/55, 9.421, -0.4, -3 in descending order.\nAnswer: 9.421, -3\/55, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9000993?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 268387 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 41 = 5*w - 10, 29 = 5*o - 3*w. Is ((-16)\/24)\/(o\/(-2994)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5*1456.509\nAnswer: 7282.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 2 n when four letters picked without replacement from {s: 5, n: 12, b: 1}?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11 + 16. Let u(x) be the second derivative of -1\/6*x**2 - 1\/30*x**k + 1\/9*x**3 + 0*x**4 + 1\/90*x**6 + 0 + x. Determine i so that u(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:50 PM and 2:22 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 56 + -55. Let i be 5*d\/(-7)*(-2)\/(-5). Put -2, 3, i in ascending order.\nAnswer: -2, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 153 a factor of 79793072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llee when four letters picked without replacement from leleeeeeeeleee?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, -94, -85, 4 in ascending order.\nAnswer: -94, -85, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2 - 28\/2)\/(-2). Let i be (-114)\/(-9) - 4\/s. Solve 3*k + 0*k = i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5256625 + 5?\nAnswer: 5256633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does -155782603 = -155782603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1233 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: Let t(z) = -z**3 - 14*z**2 - 3. What is t(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 331322 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -686, -3, -2, -5, 1626 in descending order.\nAnswer: 1626, -2, -3, -5, -686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -52 - -67. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -109*d + 36. Let q be j(-6). Suppose 67*z = -2*z + q. Calculate the remainder when (1*-3)\/((-1)\/13) is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-2\/9)*c*c**(-7)*c*c**(2\/7)*(c\/((c\/(c**(1\/8)\/c))\/c))\/c*(c**15*c*c**(-2\/11)*c)**(-34) assuming c is positive.\nAnswer: c**(-3202379\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0\/11 - (-2 - 1). Let v(r) = -5*r - 5. Let s be v(-2). Suppose -5*q + 4*n - 7 = 0, -2*q = -5*q + s*n - 12. Solve 2 + q = -b*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 214 + 122 = 14*c. Let a = -12 - -36. Calculate the remainder when c is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k - k. Solve k = -2*c - 2*c - 3*m + 13, m + 9 = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 3*s**5 - 9*s**4 + 3*s**3 + 9*s**2 - 6*s = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 = -4*s - 2*t - 3*t, 3*s - 4*t - 29 = 0. Suppose 4*v + 6*d = 10*d + 16, -8 = 4*d. What is the least common multiple of s and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(3)*1 + sqrt(3))**2 + sqrt(30)\/(sqrt(20)\/sqrt(2)).\nAnswer: sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -123096610 and -0.26.\nAnswer: -123096610.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/7?  (a) -1\/2  (b) -0.3  (c) 13  (d) 932.08  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3\/4)\/(1\/4). Let v = 2210 + -2205. Suppose w - 2*s - c - 11 = 0, v*s + 41 = 3*w. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 79620 and 19.\nAnswer: 1512780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*l**(-1)*l*l*l*(l**(-6)*l)\/l*(l*(l*l\/l**0)\/l)\/l**(3\/7) assuming l is positive.\nAnswer: l**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -101001 (base 2) in base 10?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 n, and 1 x when three letters picked without replacement from {n: 1, q: 1, m: 2, x: 2, k: 2, u: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 + 10*v**2 - 12*v - 10. Let j be s(-11). Let g be j\/(2 + -1 + 0). Let f = 4 - g. Solve f*c = 5*c + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10875 take away 2.753?\nAnswer: -10877.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/14 - 104\/28. Let k(p) = -p**3 - 4*p**2 + 2*p + 5. Let v be k(q). Let g be (v - -2)\/(4\/(-12)). Solve 5 = -4*m + 3*i, 4*m + 11 = 2*i + g*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.5, -0.1, 58, 4, -112\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 107644 or 109004?\nAnswer: 109004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 + 2*d + 2. Calculate the remainder when 27 is divided by q(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 3*u + 0*u - 5*u - 5 - 3. Calculate the remainder when r(-6) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 20*d - 4128, 0 = -3*d - y + 6*y + 591. Solve -203*l = -5*b - d*l + 7, -12 = 3*b - 3*l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -188660*r + 158*r**2 + 42*r**2 + 188660*r.\nAnswer: 200*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yuyuybybuuuuybnu. Give prob of sequence bu.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16490 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -1475*v. Let c(k) = -4*k. Give w(c(o)).\nAnswer: 5900*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2129 - 2129 - p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 5 = 19 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 3*u**3 + u**2. Suppose 0 = 2*k - 6*k - 64. Let p(q) = q**2 + 7*q - 3. Let a be p(-3). Let f = k - a. Calculate v(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100232030 (base 4) to base 12\nAnswer: 33778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(363) + sqrt(363)*1)*6)\/sqrt(11)*1)\/(sqrt(21)\/sqrt(112) + 3*sqrt(3)*-2))**2.\nAnswer: 25344\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -501 = 3*p - 63*j, -702*j - 3 = 5*p - 703*j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r + 3. Let w be n(3). Let d = 1\/18 + -131\/90. Is d smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1151 - -1154. Let u(c) = c**3 + 3*c**2 + 3*c + 2. Let z be u(-2). What is the third biggest value in 1\/5, t, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.16 - -0.41. Let m = k - 1.44. What is m rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4484490, 8968981, 13453472, 17937963, 22422454, 26906945?\nAnswer: 31391436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47764 is divided by 1162?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 25 - 5 = 0, 4*b - 3*i = -36. Let o be ((-4)\/3)\/(2\/24). Which is smaller: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -497 divided by 1?\nAnswer: -497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.553 + 0.92?\nAnswer: -2.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 28895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (106\/3)\/53*39?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13 - (37 - 41)) + -33?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((2\/6)\/((-4)\/(-18)))\/(-15).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3800 - 3791. Solve -9*y - z = w - 8*y, 2*y + 28 = -4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24397 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*5\/175*(-5 + 0).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, c: 4, w: 6}. Give prob of picking 1 c and 3 w.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 104858 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v**2 - v**5 + 3*v**2)*(-56 + 98 - 52).\nAnswer: 10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -23*b**3*d*p**3 - 400454*b**3*d*p - 215*b**2*d*p**3 + 302*b**2*p**2 - 72*b*d*p**2 wrt b.\nAnswer: -138*d*p**3 - 2402724*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3184409.\nAnswer: 3184409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 42 = -j, -3*j = 5*p + 2*j - 110. Let k be (12\/(-10))\/(6\/p). List the prime factors of (-38)\/k - 1\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t**(1\/5))*t)**(4\/27))**(-1\/9) assuming t is positive.\nAnswer: t**(-16\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1546 less than 3.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - -4 - 11) + -3 + 15\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.3511 - -0.3511. Which is the nearest to g?  (a) -11  (b) 0.5  (c) -1  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 + 10. Suppose 52*k - 370 = -5*k + 884. What is the highest common factor of t and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 1630498.\nAnswer: 8152490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 PM and 1:37 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 82099039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*w - 95 + 80 = 22*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the first derivative of j**7\/7 + 8*j**6\/3 - j**3\/3 + 162*j**2 - 381. What is the third derivative of n(t) wrt t?\nAnswer: 120*t**3 + 960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**2 - 7*x - 52. Let w be i(-5). Let r(y) = 20*y**3 - 8*y**2. Let f(l) = 7*l**3 - 3*l**2. Suppose 2*p - p + 3 = 0. What is p*r(d) + w*f(d)?\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 168 + -163. Solve d*g = 5*l - 20, -3*g = 3*l - g + 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the first derivative of -14*p**3\/3 - 25. Let w(u) = 6*u**2 - u**2 - 2*u**2. What is w(d(q))?\nAnswer: 588*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1684963?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -23*i**2. Let j(m) = -m - 2089. Determine j(o(p)).\nAnswer: 23*p**2 - 2089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-54)\/126)\/(69\/14).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*i**2 - 195*i + 200*i - 14*i**2 + 9*i**3.\nAnswer: 9*i**3 + 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**3 - 3426*j**2 + 87093*j - 504144.\nAnswer: -3*(j - 16)*(j - 9)*(j + 1167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:03 AM and 4:37 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (46\/(-8))\/((-27)\/2268). Let u = -265 + p. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y - 7. Let n(p) = 2*p + 8. Let h = 576 + -582. Calculate h*n(j) - 7*x(j).\nAnswer: -5*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (1022 - 1020 + 0*t**2 + 2*t**2 - 43*t)*(2 - 2 - 3*t) in the form y*t**2 + s*t + i*t**3 + c and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(7) - sqrt(7)*1) + 4)**2 + 5 + 2 + sqrt(700).\nAnswer: 24 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hcqhpli. Give prob of picking 1 p and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01408698 to 5 dps.\nAnswer: 0.01409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 36\/(-54)*18\/(-20).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**2 + 4*x - 3. Let g be z(3). Solve g = 4*t + s - 9, 3*t - t = -5*s + 27 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 218135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/5876 and -89\/10?\nAnswer: 29380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 24681\nAnswer: -1\/8227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 97345.94l in millilitres?\nAnswer: 97345940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 269610442*o**2 - 3*o + 7211428 wrt o.\nAnswer: 539220884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 363 - 363.2. Let v = -0.629 + 0.329. What is the third biggest value in v, k, -26, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-970)\/12 + (10 - 21) + 13. Which is smaller: t or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -10*b**2 + 7*b**2 + 2*b + b**3 - 1 - 3. Let d be y(3). Suppose 0 = -d*f + 7*f - 115. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4947.3 times -0.5?\nAnswer: 2473.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -598 - -7768\/13. Let p be (2*2\/4)\/1. Suppose 0 = j + 2*h - p, 2*h = 7*h - 5. Which is smaller: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -222766123 - -479.\nAnswer: -222765644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4199 and 489193?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k + 0*k - 4*k)*(1190 + 5090 - 3971 + 14097)*(-4*k**3 - 3*k**3 + 2*k**3).\nAnswer: 164060*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yhhyhyyyyy.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 2*t + 2*w - w, 0 = -3*t - 5*w - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the first derivative of v**2\/2 - 53. Let n(g) = -4*g**2 + 3*g + 3. Let o(s) = 9*s**2 - 5*s - 5. Let x(q) = -5*n(q) - 3*o(q). Determine x(r(j)).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3458, 1438, -1892, -6526, -12458?\nAnswer: -19682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7105 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*f - 51 + 54 - 5*f as r*f + w and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -71*o - 44. Let v(s) = 1. Let k(w) = -v(w) - y(w). Is k(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 45391945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (4\/3)\/((-1376)\/7740)*5\/(-390)*4\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 114309 times -50\nAnswer: -5715450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -511  (b) -4\/5  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2*(-1 - (-104)\/16). Suppose 7658 = t*b - 3628. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -4*t**2 - t - 1. Let m be x(-1). Let i = m + 6. Suppose -i*b + 6 = -4. Solve w + b*k = 25, -25 = 3*w - 0*w - 5*k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 242442.2 milliseconds to microseconds.\nAnswer: 242442200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 49053 - 33486. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 11 - -499a8?\nAnswer: 49a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7618 is divided by 38.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 567823 to the power of 1\/2, to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 159 - 206 = -l, -226 = -2*y - 5*l. What is the remainder when y is divided by 44?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:07 PM and 3:43 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2 - 3)\/(6\/2). Let r = -5177\/74545 - 1\/877. Let s = 212\/595 + r. Sort s, d, 0.3.\nAnswer: d, s, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1, -0.3, 0.3, -46?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + u - 4*u - 59 = 0, -3*z + 38 = -u. Suppose -3*n + 4 = -z. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -52*l**2 - 17822*l + 77031. What is c(-347)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the third derivative of -x**9\/630 - x**6\/144 + x**4\/4 - 8*x**2. Let r(w) be the second derivative of j(w). Find the second derivative of r(b) wrt b.\nAnswer: -288*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5684, -5419, -4976, -4355, -3556?\nAnswer: -2579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 11, p: 5}. What is prob of sequence xx?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 70357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 308*i**3 - 131*i**3 - 93*i**3 - 177*i**3.\nAnswer: -93*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2847107119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 5\/4, 3, 3\/7, -2.37, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 201, 777, 2203, 4905, 9309, 15841?\nAnswer: 24927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/7, 0.3, -0.5, 51, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) -69  (c) -2\/3  (d) 2\/677\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 36223?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((sqrt(2)*-4 + sqrt(2))*-5 - sqrt(2))**2 + 3.\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:00 PM and 5:27 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/270 and -14\/1269?\nAnswer: 12690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -1584, 0.4, 0.2, -71 in descending order.\nAnswer: 0.4, 0.2, -71, -1584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10 - 10. Suppose 4 - 1 = -3*b, r = n - 5*b - 19. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 221 (base 7) to base 2\nAnswer: 1110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -10*h - 10. Let g be r(-3). Suppose g*d = 15*d + 2465. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 1 + 105*k - 25*k.\nAnswer: 80*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*f**3 + 9*f**3 + f + 27*f**3 as p*f**3 + r + u*f**2 + b*f and give p.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -400*v + 3*v**2 + 149*v - 433*v + 149*v as l*v**2 + o + u*v and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s = 7 - 31. Let g be (s\/12)\/1*-1. Which is smaller: 0.7 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -103*c**3 + 170 + 192*c**3 - 100*c**3.\nAnswer: -11*c**3 + 170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 58 = -4*p, 7*p + 75 = 4*g + 12*p. Solve -5*b = r - 4*r - g, -5*b = -5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 2 = 2*j, 3*j + 25 = -4*h + 77. Let b(m) = -m**2 + 8*m + 32. Let o be b(h). What is the highest common divisor of 8 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -o - 6. Let d = 7 + -5. Let g be (-8)\/4 - d*1. Sort o, 0, g in increasing order.\nAnswer: g, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -103*o + 105*o - 2. Solve 6 = -j - 3*a, 5*a = -2*j - 12 + o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 308*v**2 - 5271*v**2 + 331*v**2.\nAnswer: -4632*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 2327.892t?\nAnswer: 2327892000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 3*p. Let y(s) = 2*s**2 + 2*s - 1. Let l(d) = d + 1. Let a(v) = -2*l(v) + y(v). Let g(t) be the first derivative of a(t). Give 4*g(b) - 5*n(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 702853318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 11:59 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -7*u + 25. List the prime factors of y(-15).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f**2\/3 - 3647*f\/3 - 1569746 = 0 for f.\nAnswer: -1011, 4658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1289267 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-3\/5)*t**(-4\/7)\/t*t*t*t**(-34)*(t**31\/t)\/t assuming t is positive.\nAnswer: t**(-181\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 19918184 and 82984?\nAnswer: 816645544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 90 + (8 - 6) + 43 + -23 + -17?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2 - 3*n + 2. Let z(x) = x. Suppose 0 = 25*v - 26*v - 8. Let s be v\/(-12)*(-6)\/4. Determine s*f(t) - 4*z(t).\nAnswer: -t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 3*f = 0, 5*f = -2*v + 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -314 - -317. Calculate the least common multiple of z and 345.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 + -5. Let o be (a - -1) + -1 + 15. Let w(r) = -73*r - 3. Let f be w(-2). Calculate the highest common divisor of o and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -351152\nAnswer: 3\/351152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -33886 less than -33891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(2\/11)*g*(g*g\/g**(1\/14))\/g*g\/g**(1\/4)*g*g*(g*g*(g\/g**(-16))\/g)\/g assuming g is positive.\nAnswer: g**(6733\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1974503143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2511308, 2511435, 2511640, 2511917, 2512260, 2512663, 2513120?\n\"Answer: -f**3 + 45*f**2 - f + 2511265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 38556158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2967 + -1598. Let a = y - 15069\/11. Suppose -1 = -3*i - 4. Which is smaller: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -2*a**2 + 496*a + 498 = 0?\nAnswer: -1, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -9*c + 4. Let v(o) = -26*o + 13. Determine 8*l(b) - 3*v(b).\nAnswer: 6*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1006, -1558, -2478, -3766?\n\"Answer: -184*x**2 - 822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**4 + 3*z**3 + 6*z**2.\nAnswer: -3*z**2*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:33 PM and 2:25 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -42781681 smaller than -42781682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19\/127 + 667\/635. Determine y so that 3\/5*y + 0 - 3\/5*y**5 + h*y**2 + 0*y**3 - 6\/5*y**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -81.5 + 81. Let x be -3 + 1 + -1 + 1. Which is the smallest value?  (a) h  (b) 5  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20\/13*n**2 + 54\/13*n + 2\/13*n**3 + 36\/13.\nAnswer: 2*(n + 1)*(n + 3)*(n + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -38*k**2 + 38*k**2 + 10*k**3 - 2 + (-6*k**2 + k**2 + 3*k**2)*(-4*k - 2*k + 4*k).\nAnswer: 14*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - (-3 + 12) - -10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (-3 - (-2 + -3 - -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -4*x**5\/7 + 16784692*x**4\/7 - 3353880388968*x**3 + 10946039302091819680*x**2\/7 - 10945874962170961024*x\/7 - 65676094950279538176\/7 = 0.\nAnswer: -2, 3, 1398724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1469, -1428, -1399, -1394, -1425, -1504, -1643?\nAnswer: -1854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -8191*g**2 + 223*g - 27066292?\nAnswer: -16382*g + 223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 24*q - 852419 - 869639 + 517378. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**4 + 6*i**4 - 8*i**2 + 8*i**3 - 2*i - 2*i - 4*i**5 + 4 - 3*i**4.\nAnswer: -4*(i - 1)**3*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1415975433.632813 + -0.1.\nAnswer: 1415975433.532813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(((sqrt(475) + 1)**2 - sqrt(475))*-4 + ((-1 + sqrt(1216))*-5)**2).\nAnswer: -1260*sqrt(19) + 85563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 18\/545 and -54\/35?\nAnswer: 3815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 9 + -3 + -1 + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 440 is divided by 36?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -799*p. Let w(b) = -b + 1859. Calculate w(c(j)).\nAnswer: 799*j + 1859","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 30 = 50*p - 47*p, 5*p - 3*h = -18. Sort 1, -5, 4, p, 25 in ascending order.\nAnswer: p, -5, 1, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 322 and 1035146.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 28 and 18970?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 3*u + 6*x - 27593, -27589 = -3*u + 2*x. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -19, -4, -28 in increasing order.\nAnswer: -28, -19, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 37001246 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 858078 and 11362?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 4*v**4 + 30124*v**3 - 181092*v**2 - 1537724*v - 1326512 = 0?\nAnswer: -7537, -4, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -23 + 256?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 199, -4, -5, 4 in increasing order.\nAnswer: -5, -4, 1, 4, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**2 - 1. Let x(f) = 8*f**2 - 71. Calculate -x(c) + 6*y(c).\nAnswer: -2*c**2 + 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 67\/5 of a meter?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1536730 less than or equal to -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 63\/8 of a week in hours?\nAnswer: 1323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 2*m**3 + m**2 - m + 1. Let n be j(1). Suppose -q = n*q. Suppose -4*d + 20 = -4*v, q*v = 2*v - d + 9. Which is smaller: v or -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z**5\/9 + 12210*z**4 + 219796*z**3\/9 - 146524*z**2\/3 - 219794*z\/9 + 109894\/3 = 0 for z.\nAnswer: -3, -1, 1, 54947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3477\/4 + 880. Let n = 11 - z. Let x = -111 + 110.5. Sort n, 1, x in ascending order.\nAnswer: x, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10472\/3 - 387458\/111. Which is the second smallest value?  (a) -1\/4  (b) -3\/4  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17 and 1079075.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -143\/21345930 and 113\/1248300.\nAnswer: 213459300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -31.2 and -0.3.\nAnswer: 9.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3999042403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 3 = -3. Suppose -u = 2*k - 4. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 149713, 299425, 449129, 598825, 748513, 898193, 1047865?\n\"Answer: -4*d**2 + 149724*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -7*r**3 + 2*r**2 - 1. Let p(q) = 26*q**3 + 27*q**2 - 15*q + 98. Let f(b) = -p(b) + 6*z(b). What is the second derivative of f(i) wrt i?\nAnswer: -408*i - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6126165 (base 7) to base 10\nAnswer: -729657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of t**3\/3 + t**2 + 8*t. Let n(f) = -5*f**3 - f**2 + 2. Let o be n(-1). Calculate w(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.2 + 1. Let h = -139.41 - -139. Let l = 0.43 + h. Which is smaller: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**3 + 10*v**2 - 11*v + 6. Let l be c(-11). Solve -27 = 3*f - 5*w, -w - w + l = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 568*p**4 + p**2*s**3 - 1240*s**3 wrt p?\nAnswer: 2272*p**3 + 2*p*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8317937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9860 divided by -5.\nAnswer: -1972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 91*d**4 - 253 with respect to d.\nAnswer: 364*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3281 + 3270. What is the nearest to 0 in d, -2, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/10, -3, 4, 181\/3, 1 in decreasing order.\nAnswer: 181\/3, 4, 1, -1\/10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*k + 634 = -86. Calculate the remainder when k is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3039 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 2*a - 2*x + 4*x, 22 = 4*a - x. Let f = -185 + 184.899. Let c = -0.101 - f. What is the closest to 1\/4 in -4, c, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + 2\/4*(13 + 117)\/(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 879586 and 1026.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of -9*w**6\/20 - 11*w**4\/8 - w**2 - w. Find the second derivative of t(d) wrt d.\nAnswer: -324*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/55?  (a) -4  (b) 2\/3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add 18356 and -35986248791.\nAnswer: -35986230435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 26*g**5 + 5*g**4 + 34*g + 5. Let w(h) = 39*h**5 + 8*h**4 + 51*h + 8. Let o(p) = -8*l(p) + 5*w(p). Find the second derivative of o(u) wrt u.\nAnswer: -260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/16 + ((-5219)\/(-136) - 27)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 0.1, 2\/7, -1\/7, 7, 272?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -28*b**2 + 5616*b + 2412.\nAnswer: -4*(b - 201)*(7*b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 406580, 5 in ascending order.\nAnswer: 0, 5, 406580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 217 + 419 - 318 + 562 - y to v*y + h and give h.\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2\/(-12)*2)\/(1\/(-78)). Solve 5*q + 4 = -3*o - s, 0 = q - o - 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 1. Suppose -s + 0 + j = 0. Suppose 0 = r + 5*v - 19, 4*r - 3*v - 2*v = s. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 215265 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + 3*(-5 + 4) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 a factor of 3080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4029 + 4028. What is the second biggest value in a, -9, 18, -1\/8, -0.3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1632 and 11424?\nAnswer: 11424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 2\/11, -1461, 2, 3.\nAnswer: -1461, 2\/11, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*((-1)\/(-2))\/(1*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -559 - -931. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 2*i - 6*i - 6, 0 = 4*d + 5*i - 66. Calculate the remainder when ((304 - 1)\/(215 - 214))\/(1*3) is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 78 - 60. Suppose 4*d = v*d - 1344. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6717\/6 - (-3)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 + 4*g**2 + 6*g + 18. Let t be q(7). Which is smaller: -85 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2641*h**3*r**2 - 39*h**3*r + h**2*r - r wrt r.\nAnswer: 5282*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-4\/17)\/b)\/b**(20\/9) assuming b is positive.\nAnswer: b**(-529\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-14 - 5*v + 14)*(2 - v - 2)*(-2*v - 3*v + 3*v) as c + x*v + h*v**2 + z*v**3 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes before 3:06 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1987\/9 + -221. Let v = -44 - -219\/5. Let r = -1.9 + 2. What is the third smallest value in r, q, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the second derivative of 5*y**5\/4 + y**4\/12 + y**3\/6 - 31*y**2\/2 + 18*y + 2. What is the second derivative of z(a) wrt a?\nAnswer: 150*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the second derivative of -i**4\/6 - 4*i**3\/3 - 4*i**2 + i. What is k in l(k) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.59 - -0.37. Let q = 3.15 + m. What is q rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1655421 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -1  (b) 0.7  (c) 0.8  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*i + 670 + 1010. Let u = 482 + i. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand m**5 + m**5 - 3*m**5 + (1 - 1 - 3*m)*(3*m**4 + 5*m**4 - 5*m**4).\nAnswer: -10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/3 + 13\/3. Suppose 808 = j*v + w, -2*v - w + 124 = -280. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2042\/22 - 6\/(-33). Let w = z + -147. Calculate the common denominator of 5\/10 + w\/28 and -34.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 301.8 and -0.028.\nAnswer: -8.4504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2102 - 5?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -2*s + 14, -4*s = -8*p + 12*p - 12. Solve 5*m = -p*y - 2, 3*m = 3*y - 2*m + 19 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1230 + 1110?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 480 - -347?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20483304 by 2614.\nAnswer: 7836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -13*d + 17. Determine h(-5).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19, -24, -29, -34, -39?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.1 + 1.7. Let y = -11565 - -11561. Which is the closest to 5?  (a) 0.4  (b) -1  (c) n  (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2497152 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 4 times -191549\nAnswer: -766196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3979852ml in litres?\nAnswer: 0.0003979852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1122398 = -23*c + 3793001. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 5*b = -35, 3*m - 2*b = 13 + 13. Suppose 0 = -m*l + 24 - 0. Factor -25*r**3 - 55*r**2 - 6 - 4 - 35*r + l + 2.\nAnswer: -5*(r + 1)**2*(5*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes after 11:49 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/71, -0.5, -4, -0.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 44\/5 of a meter?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**2*j)\/j)**48*(j**0)**(-23\/3))**(-50) assuming j is positive.\nAnswer: j**(-4800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2\/2781 + -929\/2781. Is c at most as big as 3.128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) -0.2  (b) -2\/23  (c) -2\/13  (d) -903.3  (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-48)\/44)\/(56\/(-44))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 + -3. Let o be (-1)\/((-1)\/b)*5. What is the third derivative of p**2 + 1 - 2*p**o - 1 wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**1\/m**(1\/6)*(m*m\/(m\/(m**(-6)\/m)))\/m**(-1\/5) assuming m is positive.\nAnswer: m**(-149\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-72)*(3696\/(-99))\/14?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 51*v + 1 + 49*v - 102*v + 9*v**3 to a*v + t*v**2 + p*v**3 + d and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 324 - 313 - (2 + 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x + 3. Let r = 0 - -34. Suppose 39*c - 25 = r*c. Determine m(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*v - w, 5*v - 4*w - w = 0. Let p be ((2 - v)\/3)\/2. Suppose 5*d - 20 = 0, p*d = -5*i + 5*d + 155. Solve n = 3*m + 1, 4*n + n + i = -5*m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9603?\nAnswer: 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 191 a factor of 1873602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 31 - -21. What is the remainder when t is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 577 - 402. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 9, -772, 137 in descending order.\nAnswer: 137, 9, -3, -772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -16*c**2 - 2. Let j = -21251 + 21250. Let o(s) = s**2 + 1. What is j*r(n) + o(n)?\nAnswer: 17*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.98 + 2.07. Let k = y + -0.45. Let j = k + -8.6. Which is the second biggest value?  (a) -1  (b) j  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -2*m**2 - 42*m + 465. What is w(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 6*g**2 + g - 3. Let n(i) be the second derivative of i**4\/12 + i**3\/6 - i**2\/2 - i. Let p(x) = -l(x) + 4*n(x). Let p(d) = 0. What is d?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes after 5:56 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.6*-290009.\nAnswer: -464014.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -220*r**4 + 1372*r**3 + 25544*r**2 - 44016*r - 21600 = 0. Calculate r.\nAnswer: -9, -2\/5, 2, 150\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/292 and -53\/8?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**2 - h + 9. Suppose 2*q - 5 = 3, 0 = 3*v - 4*q - 56. Suppose v = 3*l - 21. Calculate the remainder when l is divided by j(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-79)\/(-11) - 12\/66?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 185115 - -23?\nAnswer: 185138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 25784436 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 6, -1, 1207 in increasing order.\nAnswer: -2, -1, 6, 1207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*h + 5*g, -5*h + 2*g + 29 = -0*g. Solve h*d - 2 = -12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 5, -5, 1 in descending order.\nAnswer: 6, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1661 + 1113. Let n be s\/7 - (27\/(-21) + 1). Does 17 divide 4\/(-8)*n + -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22 - (-23 + -28 - (1 - 15))) + -64.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 - 3) + 6 + (0 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = d - 0*d. Suppose 4*i - 2*j - 10 = 0, -3*i + i + 10 = -2*j. Let n(m) = m. Let p be n(i). Sort d, p, -2 in ascending order.\nAnswer: -2, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 7, 3, -1, -5, -9?\n\"Answer: -4*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -1070*j**2 - 531. Let x(v) = 109*v**2 + 54. Let h(i) = -6*l(i) - 59*x(i). Let d be 1\/(2\/4) + -2. Let z(a) = 2*a**2 + d*a**2 + 2*a**2. Give z(h(t)).\nAnswer: 484*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 279.29997734 + -279.3. Round i to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 428580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -110 - 149 + 10*d - 115 + 374.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 8, z: 4, t: 1}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**2 - 3*t + 2. Let y be z(2). Let s be 13200002 + 1*(-2 + y). Suppose s = -0*j - 3*j. Round j to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 52 = o + 3*g, 0 = -4*g. Let z = 14 + -8. Let y(j) = j**2 - 6*j + 14. Calculate the remainder when o is divided by y(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -5*g + 4*i, -6*i + 36 = 4*g - 2*i. Solve g*b - 14 = -4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 3*j = -165, 64 = -5*p - j + 335. Suppose p = 4*b - 26. What is the least common multiple of 16 - 2\/2 - 1 and b?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**3 + 7*h**2 - 3*h - 7. Let o be f(6). Let m = -9 + o. Sort m, 5, -5 in ascending order.\nAnswer: -5, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p - 4*p + 3*p)*(-p - p + p)*(-2 + 3 - 2)*(16*p**3 - 5*p**3 + 0*p**3 - 2*p**2).\nAnswer: -22*p**5 + 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18003 = 1005*d - 8127 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -3778\/6715 <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16723519 is divided by 293.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -120*u - 2055. Calculate g(-17).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24)\/18*77*(-9)\/(-42).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 222 - 109. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6930.5 + -6930. Let n = -2 + -1. What is the nearest to -4\/7 in f, n, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + u = -1167. Let j = u + 178. Let d = j + 296. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3236.51 + 3266. What is r rounded to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3966 by 27461.\nAnswer: -3966\/27461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1466 (base 10) in base 4?\nAnswer: -112322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -460 + 464. Suppose w*o - 3833 = -5*d, 2*o - 2885 = 2*d - 991. List the prime factors of o.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - r - 38 = -3*r, 3*k - 2*r = 18. Let a be 1\/(-4) - 30\/k. Are -3 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 1.979285ng?\nAnswer: 0.000000000001979285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(612) - sqrt(612)*-2))**2 + -1 + sqrt(612)*-2 + 4*(sqrt(612) - (5*(0 + sqrt(612)) - sqrt(612))) + -5.\nAnswer: -156*sqrt(17) + 5506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 108323351.\nAnswer: 19, 59, 71, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:24 AM and 4:01 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 + -27 + (7 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -31, -131, -233, -337, -443, -551, -661?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-3)\/1 + 2)\/(3\/9). Let q be 158\/22 - t*4\/(-66). Solve 4*b - 3 = -3*p, -3*p = q*b - 2*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = 15*y - 19*y. Factor 90*a**2 + 21 - y + 56*a + 27*a**3 + 28*a + 17.\nAnswer: 3*(a + 2)*(3*a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1028 by 1.\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of c*o**2*x**2 + 231*c*o**2 + 19*c*o*x**2 - c*x**2 + 12*o wrt o.\nAnswer: 2*c*x**2 + 462*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 + 1 = 2*u. Solve -4 = 3*w + 4*x, -u*w - 3*x + 4 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/20)\/((3372\/(-5058))\/(30\/4)).\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -71 + (55 - -14) - -65 - (2 - 0)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2\/12557 + -12517\/251140. Put 22, -0.5, 3\/4, l in decreasing order.\nAnswer: 22, 3\/4, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 22 = -3*o - 3*t, 2*o - 5*t = -16. Let c = -373 - -1612. Let g = 1240 - c. Solve x + g = 2*m - 6, 3*m = -o*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -29 - -33. Suppose 0*u = 4*u - o - 239, q*o = u - 56. What is the highest common divisor of u and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3003.\nAnswer: 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*q**2\/3 - 534*q + 1580\/3 = 0 for q.\nAnswer: 1, 790\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23\/23*(-3)\/(-15).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + b + 4)*(b + b**2 - b)*(1 - 5 + 5).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 596ca (base 15) in base 11?\nAnswer: 185178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7395?\nAnswer: 3, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 2*h. Let s(f) be the second derivative of 98*f + 1\/2*f**2 + 1 + 2\/3*f**3. Suppose 0*k + 5*c = 3*k - 3, -5*k + 5*c - 5 = 0. Give k*s(p) + 9*g(p).\nAnswer: 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**2 + t + 10. Let u be f(-7). Suppose 0 = r - 5*r - u. Let p = r + 38. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 33*s - 35*s + 3*f - 5, 0 = -5*s - 4*f + 22. Solve k + 2 = -s*x, 4*k - 12 - 13 = 3*x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, -1, 11 in increasing order.\nAnswer: -5, -1, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 34874684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 118417473?\nAnswer: 3, 13157497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 32530319*v**2*x**3 + 33*v**2*x**2 - 5*v**2*x - 10*v*x**2 - 6*x**2 - 2*x wrt x.\nAnswer: 195181914*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -65, -278, -639, -1148, -1805?\n\"Answer: -74*g**2 + 9*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(1\/4)*c)**(11\/4))**(-24)\/((c\/(c\/(c**(-1\/4)*c)*c))\/((c\/c**(3\/5)*c)\/c)*(c**0)**(28\/9)) assuming c is positive.\nAnswer: c**(-2957\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*l - 945 + 3849. What is the units digit of l + (-6)\/1 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -60\/2188879 and 113\/826.\nAnswer: 258287722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 - 7.4. Put 0.3, p, -0.08 in increasing order.\nAnswer: p, -0.08, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18352349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 49?  (a) 1  (b) -3\/4  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 + -4. Suppose 0 = -o + 3*k + 14, -x*o - 2*o + 4*k + 32 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.7  (b) -0.7  (c) 0.1  (d) 2\/13  (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2286363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:15 PM and 8:10 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*c**2*v**3 - 3*c**2*v**2 - 22*c**2*v + 2*c**2 - 68*c*v**3 - 11*v - 2 wrt v.\nAnswer: -18*c**2*v - 6*c**2 - 408*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**15*v)**(-12)*v**(-1\/9)*v*v**(-3\/16))**(2\/37) assuming v is positive.\nAnswer: v**(-27547\/2664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 - 3.4. What is the closest to 1 in n, -3, -16?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10439 is divided by 4601.\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*p**2 + 56548*p - 103955*p + 47407*p.\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 1 = f. Let t = f + 23. Suppose -t = -2*d - 3*s + 38, d = -5*s + 28. Calculate the highest common divisor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -7*9978\/252*33*-2.\nAnswer: 11, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 628*o + 287 - 628*o - 287 - o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = 53*u - 49*u + 28, 25 = -7*u - c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 351319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 + 1 + 2 - 0. Let o(f) = -f - 1. Let h be o(-1). Let v = m + h. Solve -6*y + y = -3*p - 7, -v*y + 1 = -5*p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.99064 times -1.202?\nAnswer: 1.19074928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/11  (b) -0.77  (c) -0.2  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wzzzzzw. What is prob of sequence wzz?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/104)\/(22\/4 - 6). Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2208 and 128?\nAnswer: 8832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 40 - 35. Let u = -8 + 5. Let l = u - -5. Solve -l*k - q = -1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 2*r + 2 = 0, 3*r + 11 = h - 0. Let a be 4\/(-18) - (-5)\/(-180). What is the closest to -1\/3 in a, h, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 3 = -1. Suppose 2*o - 9 = -l. Suppose o*y - 2*y = 48. Calculate the remainder when y is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 24*h**2. Let n(l) = 33*l + 20. Let d(v) = 16*v + 8. Let t(i) = -5*d(i) + 2*n(i). What is u(t(p))?\nAnswer: 4704*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**7*z*(z*(z**(2\/17)*z)\/z)\/z*(z*z\/(z**2*z))**(-2\/11) assuming z is positive.\nAnswer: z**(1552\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g + q + 13, -g + 4*q - 3*q = -5. Solve 0 = g*j - 5*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**3 + 6*l**2. Let n be g(6). Suppose 0*p - 40 = -p + 5*h, 3*p + 3*h - 102 = n. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31210000 rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.141 times 217\nAnswer: -30.597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from eeelllllll?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*z = -13 - 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 69265183 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from yfyynyyzfnhyfy.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 45 + -50. Let m = 1.05 - 0.05. Which is the closest to m?  (a) q  (b) -4  (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19062359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -225971 rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12122012030 (base 5) to base 10.\nAnswer: -14250890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 221.06 + 49?\nAnswer: 270.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3056, -3051, -3036, -3005, -2952?\nAnswer: -2871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 15 = b. Let d = -12446 - -12470. Solve b*y - d = -5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*i - 5. Let l be 7 + 24\/(-6)*i\/2. Solve 2*k = -l*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11099\/16442 or -1?\nAnswer: -11099\/16442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -a**4 - 40*a**3 + 155*a**2 wrt a?\nAnswer: -24*a - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -5*h**2 - 2*h - 1. Let w(g) = 13*g**2 + 5*g - 3. Let a(l) = l**2 - 1. Let j(b) = -5*a(b) + w(b). Let o(t) = 2*j(t) + 5*q(t). Calculate o(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*g*u**3*z - g*u**2*z**3 + 23*g*z**3 - 2*u**3*z**3 + 10*u**3 - 3*u*z**3 wrt u.\nAnswer: -12*g*z - 12*z**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1679, 1553, 1429, 1307?\nAnswer: 1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 75 + -35. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 4 = 2. Let w(u) = -4*u**3 - 1 + 5 + 5*u**3 - 11*u**2 + 5*u**q + 6*u. Suppose 5*g = 4*j + 33, 5*g = -3*j - 11 + 30. Determine w(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -4*p, n + 2*n = -p. Suppose p*x + 4*x - 3*m + 119 = 0, 3*x + 84 = 4*m. Let d = -57 - x. What is d rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 20.8417241 to three decimal places.\nAnswer: 20.842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17, -92, -245, -482, -809, -1232?\nAnswer: -1757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2215a9ca + -1?\nAnswer: -2215a9cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -6*(sqrt(325) + 3))**2 - (-4*sqrt(65)*2)\/(sqrt(80) + (sqrt(80)*-2 + sqrt(80) - sqrt(80))).\nAnswer: 1138*sqrt(13) + 12061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**3 - 65*y**2 + 127*y - 48. Let o be d(63). Let c(n) = 11*n + 2. Let h be c(2). Let i = -10 + h. Is i > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 207 is divided by 41?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11 + -9. Let c(s) = -o - s + 849*s**2 + 11 - 845*s**2 - 2. Let t be c(-3). Calculate the highest common factor of 69 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 12:08 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 PM and 8:45 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41 = 2*u - 3*l, 51 + 58 = 4*u + 3*l. Suppose 2*r + 5*h = 70, -5*r + 5*h = -115 - u. Calculate the remainder when 59 is divided by r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1567879, 12542545, 42330929, 100339891, 195976291, 338646989, 537758845?\nAnswer: 802718719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -47 in -4, 2\/41, 0.1204?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 + 9\/2. Let j = -199\/22 - f. Let s = j - 356\/33. Find the common denominator of 68\/21 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from {c: 3, h: 4, y: 3, v: 2, u: 4}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 6}. Give prob of picking 3 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12652 and 7800?\nAnswer: 24671400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 32734 - 32728. Let o be 3 + (-5)\/((-105)\/(-72)). Which is smaller: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1698414 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10002 + 10?\nAnswer: -4442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*y - 71*y - 57*y.\nAnswer: -91*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 39*n**2 + 76*n - 1384. Determine z(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -503 + 7547\/15. Let s = -15.4 - -15. What is the second biggest value in c, s, -2\/19, -3\/7?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 16, 39, 98, 211, 396, 671, 1054?\n\"Answer: 3*g**3 + 2*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 24 + -21. What is the nearest to m in 1, 0.5, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 42 - 24. Suppose 0 = -5*m - o + 98. Suppose 2*k - m = -0. Calculate the lowest common multiple of k and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/91 and 2\/3 + (-580)\/(-165) + -5?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 420\/(-93) + 4 - (-32 + 1071\/34)\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 7\/1*(-1)\/21*-6. Suppose -j = -y, -2*n - 14 = -4*j - 62. Calculate the highest common divisor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**3 + 156*a**2 + 1663*a - 586. Determine k(166).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -54, -93, -154, -231, -318, -409, -498?\n\"Answer: k**3 - 17*k**2 + 5*k - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**3 + b - 3. Give y(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2157694.\nAnswer: 2, 7, 11, 14011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 106751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 909*a - 913*a = 12. Let p be 4 + a + 1 - (1 - 7). Suppose 22 = 2*g + 2*s, 5*s - 42 = -3*g - g. Is g equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 319 + 366 - 125 = 40*y. Solve -9*k = -y*k - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-360)\/(-20) + (-888)\/36.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-280500)\/(-360))\/(-425))\/((2\/(-84))\/1)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 3 = 1. Suppose 6*i = 166 - 10. Let w = i - 24. Sort w, 4, s in increasing order.\nAnswer: s, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20 divided by 251\nAnswer: 20\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(77)*4)\/(sqrt(99) + sqrt(99)*2).\nAnswer: -8*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 19289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-6))\/(66352\/30624)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.7 + 2.6. Let n = -1.5 - 0.5. Let d = b + n. Put d, -3, 3 in decreasing order.\nAnswer: 3, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((1*(-1*sqrt(125) - sqrt(125)) - (sqrt(125) + sqrt(125) + 3 + (sqrt(125) - (sqrt(125) - (sqrt(125) + sqrt(125) + 0)))))**2 + 4).\nAnswer: 540*sqrt(5) + 13539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 7*z + 2. Let m be j(2). Let n = -98 - -149. Let t = n + -19. What is the highest common factor of t and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(80)*-1 - sqrt(80)) + sqrt(80))*-5.\nAnswer: 15 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.111185411 to four dps.\nAnswer: 4.1112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2\/(2\/1))\/((-1)\/3). Sort 1, -4, c, 0 in decreasing order.\nAnswer: 1, 0, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -13639*h**2. Let q(d) = -50*d**2. Give u(q(c)).\nAnswer: -34097500*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from accammcacaapmca.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 275039 is divided by 480?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 7*w - 474 + 456 = 0, -5*f = 2*w + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -8876*b**3 + 2*b**2 - 1. Let t be y(-1). Let n = 76877 - t. Round n to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 1531*k**2 - 3056*k**2 + 1526*k**2. Let j(h) = -17*h + 50. Let t(z) = 8*z - 25. Let p(n) = 6*j(n) + 13*t(n). What is y(p(d))?\nAnswer: 4*d**2 - 100*d + 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*j**4 - 5 - j + 4*j + 3 - 2*j as p*j**4 + w*j**2 + l*j**3 + k + x*j and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*f = 38*f - 12. Let a(w) = 485*w - 485*w - 2*w**f. Let n(d) = 18*d**2. What is n(a(s))?\nAnswer: 72*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-25)\/(-2) - 6\/(-12). Let i = w + -8. Solve -n - 27 + 12 = 4*j, -3*n = 4*j + i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -2*y + 305 + 1232, 4*i + 3*y + 2055 = 0. Let o be (-2)\/(3\/(i\/(-6))). Let p = -17 - o. What is the highest common divisor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the second derivative of j**6\/105 - 6*j**5\/35 + j**4\/2 + 14*j**3\/3 + 839*j. Factor p(w).\nAnswer: 2*w*(w - 7)**2*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and 2.6?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1710131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:40 AM and 10:14 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -69\/10 + 15\/2. Let q = 6 + -10. Which is the smallest value?  (a) f  (b) 0.5  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 12\/25 of a kilometer?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1577367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 7 + 14 = -4*a, 9 = l - 2*a. Calculate the smallest common multiple of 22 and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 + 9*d + 1. Let b be s(5). Let m = 17 - b. What is the closest to -1\/4 in m, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10101111100101 (base 2) in base 8?\nAnswer: -25745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 259872.7 grams to milligrams.\nAnswer: 259872700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*u = 17*u + 11842. Suppose -u - 3583 = -27*x. Is 38 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l - 85 = -5*d, -d + 241 = -5*l + 336 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1027072.52 + 1027132.5200061. Let v = z - 60. Round v to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -31*u**2 + 11*u - 4. Let y be h(2). Let p = 111 + y. Solve -p*l - 2*o - 17 = 0, -2*o - 19 = -5*l - 52 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + (-13 - (19 + (-1 - 4) + 0)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes after 6:46 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 bigger than -32\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -842 - -858. What is the remainder when 1245 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -50124.8 - -50125. Let t = -9 + 29\/3. Which is the nearest to -0.1?  (a) t  (b) l  (c) 0.5  (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8, -10, -12, -14, -16, -18?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o**(20\/7)*o))\/o**26 assuming o is positive.\nAnswer: o**(-202\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7 and 4602564?\nAnswer: 32217948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 73 = 33*h - 17*h, -2*h = -2*v - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14 - 9. Suppose q = z*q. Suppose q = -3*k + 9, 4*p = 3*k + 1 - 10. Solve p*l + 2*n = -3*l - 9, 0 = -l - n - 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4618772 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -90 - -135. Let g = i - 46. Sort -4, 5, g.\nAnswer: -4, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10001000101 (base 2) to base 4\nAnswer: -101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -14983.45 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -32*l + 91. Let z(a) = 32*a - 89. Let v(u) = -4*d(u) - 5*z(u). What is the hundreds digit of v(-19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:41 PM and 1:47 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 4 + 2)*(-2*g**4 + 2 + 5*g**3 - 4 - 3*g**3).\nAnswer: 14*g**4 - 14*g**3 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - 0. Let s = 7 - -73. Suppose -4*d = -z*d - s. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 4*r - 6. Suppose 0*d + 30 = 5*d. What is the tens digit of i(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1151 + 6199 = 8890*i - 9040*i for i.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -218, -4044, -11472, -22502, -37134, -55368?\n\"Answer: -1801*p**2 + 1577*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the first derivative of 184 + 0*z**3 + 8*z**2 + 3*z - 117\/2*z**4. Find the second derivative of t(o) wrt o.\nAnswer: -1404*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-39)\/15 - 8\/20. Let z be w*2*3\/(-6). Let k = -4 - -7. Solve -k*s - 13 + 4 = 0, z*i = -5*s - 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 165583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1083 plus -39966460?\nAnswer: -39967543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4980.964 + -4981. Which is the nearest to -0.1?  (a) l  (b) -2  (c) 5  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*x - 3*f + 37, -3*x + 14*f - 24 = 13*f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/8 in -27\/4, 11, 0, -3\/7, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + m)*(-3*m + 11*m - 5*m) + 54*m + 2*m**2 - 54*m - 4.\nAnswer: 5*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 8128875 divided by -1\nAnswer: -8128875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192)\/(sqrt(200) - sqrt(8)) - sqrt(24))\/(sqrt(12)*-2*2) + -3.\nAnswer: -3 + 3*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1672?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -19 - -18.9. Suppose 12 - 9 = -3*q. Which is the closest to u?  (a) q  (b) 12  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, p: 1, s: 4, m: 4, y: 6, u: 2}. Give prob of sequence lyuu.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*o - 4*o + 2*o)*(-o + 3*o - 12*o) + (3*o - 6*o + o)*(-2*o + 4*o - o))*(2 + 1 - 6)*(-1 + 5 - 3).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 24790 and 4?\nAnswer: 49580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -87 + a - 52 - 77 - 57 + 306. Give i(-18).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w - 5. Let x be r(5). Suppose h = 3*s - x*h - 139, 3*h = -2*s + 111. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2531*s**4 - 4968?\nAnswer: -10124*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 14a (base 11) in base 2?\nAnswer: 10101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(44)\/sqrt(2)*-3)\/(sqrt(176)*1*6).\nAnswer: 5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 77.81884ml in litres?\nAnswer: 0.07781884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -2255.\nAnswer: 4\/2255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66) + sqrt(66) + sqrt(66)*-3 + sqrt(66) + sqrt(66) - sqrt(66))*-3 - -2*4*sqrt(66))\/((sqrt(432)\/(sqrt(24)\/sqrt(3)) + sqrt(54))\/(5*sqrt(225))).\nAnswer: 100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 42 = -5*g, 4*h - 11 = -3*g + 4. Let n be g\/(-12) + (-9)\/(-12). Solve 3 = -j - n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/((-14)\/(-8)))\/((-215)\/(-1505))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 641 minutes after 10:13 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 1 - m - 1. Let c be 6*((-4)\/3 - 25\/(-30)). Let u(j) = -j**2 - 4*j - 1. Suppose -d - 3*y + 4 = 0, -2*d - y + 5 = 2*y. What is c*z(s) + d*u(s)?\nAnswer: -s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/4)\/(85\/(-56) - 592\/(-518))\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54323624 a multiple of 612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 167448071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 278 + -280. Sort -19, x, 3, -3 in descending order.\nAnswer: 3, x, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4568 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 92.625 months to decades.\nAnswer: 0.771875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 38477753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1393.\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 131 - 125. Solve o = -4*z + s, 2*s = -4*z - s + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 648744 divided by -216248.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*o - o - 4*o)*(-2*o + o + 3*o)*(3 - 5 + 0) + 1 - 2*o**2 - 1.\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -2*w**2\/3 - 812*w\/3 - 3406 = 0.\nAnswer: -393, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -10302111032 (base 4) in base 14?\nAnswer: -24939c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00003968 to 6 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -78045259 divided by -1.\nAnswer: 78045259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -37 - -36. Is f*(59\/(-5) - 2)*5 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(102) - 2*sqrt(102))*6*-4)\/(sqrt(42)\/((-2*sqrt(70))\/sqrt(10))).\nAnswer: -48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.63 - -45.37. Let l = a - 55.2. Let b = 0.2 - l. What is b rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-160)\/(-6) - (-2)\/6. Suppose n - 16 = 5*y, 3*n - 9 = 8*y - 6*y. Calculate the remainder when 33 is divided by ((-9)\/k)\/(n\/(-27)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of -c**4\/24 - c**3\/3 - 18*c**2. Let n be g(-6). Let y(q) = q**3 - 5*q**2 + 5*q - 6. Calculate y(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1372 - -2143. Suppose 105 = -6*i + p. Let r = -66 + i. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 196*v**4 - 69620*v**3 + 1384632*v**2 + 1160528*v - 293920 = 0. Calculate v.\nAnswer: -1, 10\/49, 22, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*5*sqrt(75)\/sqrt(20))\/((sqrt(21) + sqrt(21)*-1*4)\/(sqrt(84)\/sqrt(48))).\nAnswer: 5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 952471 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/9  (b) -25\/2  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 9*f**2 + 277*f - 39. What is the tens digit of c(-34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wgg when three letters picked without replacement from gwgqtttgqgggigt.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7198169 and 10013?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 5*g**3 - 3*g**2 + 2*g + 2. Let f(q) = 26*q**3 - 16*q**2 + 11*q + 11. Determine 2*f(d) - 11*x(d).\nAnswer: -3*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 3*n = -335 - 1442, -5*y = -3*n - 4420. List the prime factors of y.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, 3, -647 in descending order.\nAnswer: 3, 2, -2, -647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*r**2 - 24*r - 5*r**2 - 24*r - 7*r**2 + 4*r**3 - 6*r**2 = 0. Calculate r.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1436928 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (40\/4)\/(4\/2). Suppose 0 = 4*q + s*a - a - 284, 0 = 2*q - 4*a - 160. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 18 = -0. Let u(w) = -w**3 - 7*w**2 - 6*w - 3. Let b be u(g). Let q be (b - -4 - 1)*-1. Solve 5*m + 17 = -4*x, -21 = 2*x + 5*m - q*m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 + -2. Suppose 4 = j - 3*j. Let f be (-4)\/(-2) - (-7 - j). Calculate the greatest common factor of f and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-52)\/2)\/(-1)*(-12)\/384*-16.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3133 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - 6) + -8 + -43 + 12 + -5.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + (3 - -1) + 13 + (1 - (-12 - -34)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -615 = 3*z - 5*b, 4*b - 164 = 2*z + 248. Let v = 359 + z. What are the prime factors of -4 - -2*v\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.8?  (a) 940.9  (b) 6  (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 4 = 3*o - 8*o, 4*m - 38 = 2*o. Suppose -m*f - 7 = -8*f. Solve -2*p = d - f*p - 5, d - 5 = -4*p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1981 + -1977. Solve u*p + 15 = -3*d - 11, 4*d + 23 = -3*p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -4*z**3 + z**2 + 2*z + 1. Let s be l(-1). Suppose -5*h + 18 = 4*r, -2*h = -4*h + s. Find d, given that 19 - 18*d + 19 - 11 + 3*d**r = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v**2 + 225115730*v + 2533854594671645 = 0. Calculate v.\nAnswer: -22511573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -2*q + 3. Let a = 17 - 26. Let f(x) = 7*x - 12. Let y(m) = a*t(m) - 2*f(m). What is the first derivative of y(h) wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 70*l**2. Let a(b) = 149440*b**2. Give i(a(m)).\nAnswer: 1563261952000*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 - -12.848. Let t = g - -0.08. Round t to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -32?  (a) -0.1  (b) -15  (c) -0.15  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 277 + -275. Calculate the smallest common multiple of g and 1382.\nAnswer: 1382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 706814808 divided by 11564.\nAnswer: 61122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 208 - 534. Let y = -326.0289 - g. Round y to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 363 divided by -4\nAnswer: -363\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 4*331.4\nAnswer: 1325.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 3*o - 432. List the prime factors of 2 - (o - (6 + 0)).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 4*k - 4. Let i be m(6). Let y = i - 10. Let s = 21 + y. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -j - 126. Let x = j - -24. Find the second derivative of -457 + 457 + 12*k**x - 9*k wrt k.\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/14)\/((-1)\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/5, 2\/17, -0.5, 0.1, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -28 - -80. Let l = j - 33. Suppose t - l = -3*w + w, 127 = 5*t + 2*w. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 401 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.3 + -0.2. Let i = -0.04 + 0.74. Let q = 0.3 - i. What is the third biggest value in q, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2235694849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 1234*t**2 - 1761*t - 9. What is the hundreds digit of g(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 35981570 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -200*b - 2385880*b**2 + 200*b.\nAnswer: -2385880*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 3*g + 2*p + 4, -p = -g + 5. Suppose 2*z + g = 10. List the prime factors of 86*z\/6 - 4.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -62 - -22. Let c = 68 - t. Let p be 2\/(-11) + c\/(-132). Let o(b) = -1. Let h(z) = 2*z + 4. Calculate p*h(j) - 2*o(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -56 in -0.023, 0, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(5\/9)*m*m*m*m*(m\/(m*m**(-34)*m))\/m*m assuming m is positive.\nAnswer: m**(338\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**2 - i + 2. Let u(p) = -p + 12. Suppose h - 5 = -26. Let t be (h\/(-28))\/((-2)\/(-32)). Let a be u(t). Give l(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-1) + 41 - ((-51)\/(-17) - -3)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 336761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 - 12 = -4*g + 2*c, -15 = -3*c. What is the least common multiple of 24 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 206374 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1634 and 18506?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(756)\/(-2*sqrt(972)))\/(((sqrt(108) - -1*sqrt(108)) + sqrt(108))\/sqrt(12)*6))**2.\nAnswer: -35\/104976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 5*r**3 - 5*r**2 + 20*r. Let f be 26\/(-6) - (-126)\/(-189). Let g(p) = 5*p**3 - 4*p**2 + 23*p. Let h(v) = f*g(v) + 6*l(v). Factor h(s).\nAnswer: 5*s*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4596, -41, 17.\nAnswer: -4596, -41, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p - 1 = 5*p - 4*b, -4*b - 20 = -4*p. Suppose 214 = p*o - 101. Let f = 29 + -8. Calculate the greatest common factor of o and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * 366.74\nAnswer: 73.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -4*k**5 + 108*k**4 + 24*k**3 - 680*k**2 + 876*k - 324 = 0.\nAnswer: -3, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*a + 12 = -43*a + z, 5*a + 4*z = 33 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 73299517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = m + 12, m = z + 6 - 0. Let u be 52\/20 + (-4)\/(-10). Suppose -m*p + 4*p = u. Solve -t = -4*t + p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2887.3 - -2887. What is the nearest to -4 in q, -4, -2\/13, 1.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 413135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 - 1413649\nAnswer: -1413648.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10193 by 140.\nAnswer: -10193\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-4)\/(2 + -110)*(-411)\/(-4) and 19\/240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/(-3)*(-5)\/((-20)\/(-6)). What is the derivative of 58 - 4*r**3 - 5*r**y + 9*r**4 - 24 wrt r?\nAnswer: 16*r**3 - 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1432265 to the nearest integer?\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 576119?\nAnswer: 576119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6624 and 12?\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 3*v = 4*d - 22, -3*v = -5*d + 21. Let l(b) = 43*b + 1 - 19*b - 19*b. Give l(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -29 (base 11) in base 13?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 6, f: 2, q: 3, w: 3, k: 2, v: 2}. What is prob of sequence vh?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -161584, -161178, -160496, -159538, -158304, -156794?\nAnswer: -155008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.4  (b) 2\/9  (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 42602920 - 0.2.\nAnswer: 42602919.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q + 4*b - 32, -q = -b + 2 - 3. Let f(c) be the second derivative of 0*c**3 + c + 1\/20*c**5 + 0*c**2 + 0 - 1\/60*c**q - 1\/24*c**4. Factor f(a).\nAnswer: -a**2*(a - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33274 = -46*z + 33366 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 19542 * -139\nAnswer: -2716338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**3 - 19*c**2 + 3*c - 22. Let v be s(19). Let w be ((-18)\/(-10))\/((-49)\/v). Let y = w - -20\/21. Which is bigger: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35c86a (base 14) to base 12.\nAnswer: -748a92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 222279296 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/26 - (33204728\/275249 - 9\/93)?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -142110180 divided by 6?\nAnswer: -23685030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 12395932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 30520 divided by -1\nAnswer: -30520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**4 - 84*u**3 + 279*u**2 - 12*u - 372.\nAnswer: -3*(u - 2)**2*(u + 1)*(u + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 83881393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -65*k + 66*k - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0392*-10246.\nAnswer: 401.6432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 4*z**2. Let v(y) = -10*y. Let u(c) be the first derivative of 3*c**2\/2 - 45. Let j(x) = -11*u(x) - 4*v(x). What is h(j(o))?\nAnswer: 196*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z + 3 = -4*z. Is 24 a factor of 4\/(-6)*z*-69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -104 and -0.27805?\nAnswer: 28.9172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes before 11:01 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l + 4*k + k - 44, -l - 2*k = -8. Let q = l - 14. Suppose 34 = q*o + g - 2*g, o = -g + 14. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79 a factor of 32875771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = -5*b - 7*f, -2*b - 23*f + 16 = -46*f + 22*f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*s**3 + 14*s**3 - 20*s**3 + 10*s**3.\nAnswer: 13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1008) + -4 + 2.\nAnswer: -2 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 8666, 2495 in descending order.\nAnswer: 8666, 2495, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35842, -35840, -35838, -35836, -35834?\nAnswer: -35832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 69 - 36. Let g = 44 + x. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 210*n**4 - 1 + 0*n**2 + 3*n**2 - 282*n**4 as z*n**4 + d*n**3 + x + p*n + o*n**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes before 11:56 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 2*n - 2 - 3, 0 = -i + 5. Suppose 5*l - n*l = 5*l. Solve 2*b = -l - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1829, 1897, 1965, 2033?\nAnswer: 2101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00195023625 to 7 dps.\nAnswer: 0.0019502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -4, 3, 2, -11733, -2 in descending order.\nAnswer: 13, 3, 2, -2, -4, -11733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*i**3 - 4*i**3 + i**3)*(0 + 0 - i) + (-2*i + i - i)*(-5*i**3 - 16*i**3 + 6*i**3) to d*i**2 + v + q*i + w*i**3 + p*i**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 772 - 714.73. Let s = 64.6 - k. Round s to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2390 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2474 - 1537. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4 - 8) + 4\/2. What are the prime factors of 41*((-11)\/(-13) + o\/(-13))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/12 and -25\/123588.\nAnswer: 123588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q + q**3 - q)*(-3*q - 2*q + 6*q) - 2*q**4 + 2*q**4 + 2*q**4 + (0*q**3 + q**3 + 0*q**3)*(3*q + 6*q + 4*q).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7930*c**2 - 15045*c + 1630.\nAnswer: -5*(c + 2)*(1586*c - 163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 5385098 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 489005977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + (-6 - -11) + -33 - (-2 + -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 + 6 + (-2)\/2. Suppose 0 = 5*l - 5*n + 7*n - 70, -5*l + 75 = n. Solve k*u + 6 = l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 105989620 divided by 1927084.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(204)\/(4*sqrt(36)\/sqrt(3)) + -6*(sqrt(17) + sqrt(17) + 0) + (sqrt(153) + (-1 + sqrt(153) - sqrt(153)))**2.\nAnswer: -71*sqrt(17)\/4 + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -501, 18, -2 in decreasing order.\nAnswer: 18, -2, -501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 92*o - 41*o - 33*o + 85*o + 74*o.\nAnswer: 177*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 + 28*h + 216. Let z be a(-13). Solve 0 = 5*m + 3*w - z, -12*w = -2*m - 13*w + 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 117063 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1624 + 35 = -p + c, -3*p - 4*c + 4781 = 0. Suppose 5*y - p = -2*r, -2*y + 3*r + 325 = -y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7833184 and 39165920.\nAnswer: 39165920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*i - 5*h + 50, -31*i + 32*i + 3*h = 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 23*b - 29. Let l(u) be the second derivative of 2*u**3\/3 - 5*u**2\/2 + 2*u - 9. Calculate 6*a(f) - 34*l(f).\nAnswer: 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -203.7 - -203.3. What is the closest to -0.1 in v, -1\/4, 1.5, 2\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -1 - 1 - f**2 + f**3 + f**2 + 3*f**2. Let j(n) = n - 14. Let k be j(11). Determine o(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/n**(-4\/7))*n**11)\/((n**(-5\/12)\/n)\/n**0))**(-2\/21) assuming n is positive.\nAnswer: n**(-995\/882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -25501437 divided by 2449?\nAnswer: -10413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**3 + 11*u**2 + 14*u - 12. Suppose -t = -4*y - 28, 48 = 5*t - 0*t + 3*y. What is the smallest common multiple of m(12) and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -288 = -91*n - 76*n + 547 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**0*k)\/k)**20*k**(-4)\/k**(2\/3)*((k**(-1\/10)\/k*k)\/k**1)\/(k*k*k**6*k*k*k**(-1\/4)) assuming k is positive.\nAnswer: k**(-931\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*n**3 - 22*n**3 + 11*n**3.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1933 divided by 1933?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 + 13\/10)\/((47196\/15295)\/(2\/(-7))).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(4 + (-1 + sqrt(288) + -1 + sqrt(288) + sqrt(288))**2).\nAnswer: -864*sqrt(2) + 15600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 318971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 622 is divided by 106.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(2\/7))**(-16)*(g\/(g\/(g\/(g\/(g**(-1\/3)*g)))))**(18\/5) assuming g is positive.\nAnswer: g**(-636\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 2, q: 6, t: 1, j: 4, c: 3}. Give prob of picking 2 c and 2 q.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4214107.74 rounded to the nearest ten thousand?\nAnswer: 4210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*h + 107*h - 165 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x**3\/3 - 40340*x**2\/3 - 768742*x\/3 + 10498280 = 0.\nAnswer: -39, 20, 20189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.4 and 627.506558366.\nAnswer: 627.106558366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 67779598?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 94652363*t**6 - 587437*t**2 + 61.\nAnswer: 11358283560*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 5*x**3 + x - 1. Let c be q(1). Suppose -4*v = -7*v + 45. Calculate the highest common factor of c and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24 - 22) + 16 + -8 + 43?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 + 6*c**2 + 4*c. Let h = 65 + -42. Suppose 3*b - s + 29 = -5*s, 0 = b + 4*s + h. What is the tens digit of g(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the second derivative of u**4\/12 + 3*u**3\/2 + 6*u**2 + 4*u. Let p be m(-9). Suppose p = -2*x + 48. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2473 is divided by 847?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -5*u - 0. Let k(n) be the first derivative of 0*n - 2 - 1\/3*n**3 + 3\/4*n**u + 0*n**2. What is the third derivative of k(l) wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 58837 at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*c + 171 = 92 - 149 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -13, -36, -59?\n\"Answer: -23*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*i + 26*i - 668 = 0. Let y = i + 707. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.59?  (a) -2\/9  (b) -1\/2  (c) 1  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 750785.9 millennia in months?\nAnswer: 9009430800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -a, 0 = -4*i - 0*i - 3*a + 986. Let m be 3 - (-6540)\/27 - -3. Let z = i - m. Are -1 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**3 - 4*u**2 + 1. Let h(b) = b**3 - 3*b**2 - b**2 - 2 - 3 + 6 + 4*b. Let f be h(3). Let o be t(f). What is the second smallest value in 0.3, -5, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-8 - -6) + 5 - (-1 - 0). Sort y, -7, 5 in decreasing order.\nAnswer: 5, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -16 + -1025?\nAnswer: -1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 + (-21 + 2 + 10 - -9) + (23 - -3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 2*z**3 - 30*z**2 + 104*z + 45. Give c(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 h, 1 d, and 1 w when four letters picked without replacement from fddfftdffwfwfdh.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 165.4 - 165.6. Let d = -0.1 - 0.9. Let s = 2 - 0. Which is the closest to d?  (a) 0.2  (b) s  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -351 = 1840*m - 2191*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2660597097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (4 - -2) - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 21 + -21. Let o(x) be the first derivative of t*x**4 + 0*x**3 - 1\/5*x**5 + 2*x + 0*x**2 - 2. Differentiate o(r) wrt r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 2*h**3 - 42*h**2 + 24*h + 6. Is v(21) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1596 is divided by 272?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 2 + -2 + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does -1 = -289\/854875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.59 + -25.41. Let k = z - -26.17. What is k rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (721 + 674 - 1590 + (2 + 1 - 1)*(-1 - 1 + 5))*(0 - 2*g + 0)*(-g**2 + 0*g**2 + 0*g**2).\nAnswer: -378*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (6 - (-12)\/(-48)*-20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14 and 96838?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 288\/(-12144)*-23*(-7)\/840*-8.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -459703565*b**5 + 2841*b**2 + 3494*b?\nAnswer: -27582213900*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 140114 (base 5) in base 14?\nAnswer: 20c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -2374*q**2 - 5*q - 2366*q**2 + 0*q**3 - 24 + 4744*q**2 + q**3. What is c(-5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 232 divide 194404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 2*b + 8 = 2*o, 6 = 3*o + b. Is 5614\/(-7)*(-1)\/o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**3 + 2*d**2 + d + 18. Let s be q(0). Suppose 2*i = n + 3*n + s, -i = 4*n + 9. Is ((-336)\/i)\/(-4) + 0 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1248, -1201, -1132, -1029, -880, -673?\n\"Answer: 2*p**3 - p**2 + 36*p - 1285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -642.5 - 60.5. Let r = 697 + s. Which is smaller: 0.07 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 657.4705ng to grams.\nAnswer: 0.0000006574705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2498*w - 2436*w + 1984 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-2))\/(14\/(-2660)*-19)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*z + z - 4*z - z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 294 = 2*r, -5*r = 3*z - 5*z + 135. Calculate the least common multiple of z and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -28802 + 40603. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 + 3372858608468\nAnswer: 3372858608467.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*f + 3 = -12*f - 7*f, 3*a - 3*f = -9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2833.11km to centimeters.\nAnswer: 283311000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 12 - -1) + 66 + -13 + (-9 - 0).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = 13*n - 1519. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1\/3, 0.3, 52\/21, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-14))\/(1\/6).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 15*f**3 - 4*f**2 + 4*f + 6. What is the units digit of u(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 5, h: 4, g: 10}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -16 - -38. Calculate the remainder when 61 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*r + 3*r - 4*r + 4*r + 4*r - 6*r + (4 - 4 - 2*r)*(2 - 2 - 2).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 1763373.275 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b - 4*b**2 + b**2 + 0*b**2.\nAnswer: -3*b*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 37369581*f**2*t**3 + 78528*f**2*t + f*t**2 + 47*t wrt t.\nAnswer: 224217486*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28433, -115366, -260249, -463082, -723865?\nAnswer: -1042598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 634, 371, -80, -725, -1570, -2621, -3884?\nAnswer: -5365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -4\/3  (b) 463  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 4 - 12 = 0, -v + k = -2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 254*c + 11987032 = 255*c - 4*z, 3*c + z = 35960992. Round c to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**3 - 6*t**2 - 4*t + 10. Let u be r(7). Let l = u + -31. Let c(d) be the second derivative of -d**5\/20 - 7*d**2\/2 - 7*d. Determine c(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.385 - -0.37. Let l = g + 29.015. Let h = -28.882 + l. What is h rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8\/(-40) - 26\/(-5). Suppose -s*k = 2*r - 16, -5*k = -10*k + 4*r - 2. Solve -k*g + 19 = -d - 6*g, -5*d - g = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3913974 and 324.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 13*m - 1. Suppose -7*g - 10*g + 35 = -22*g. Calculate q(g).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 236473152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d - 4. Suppose 2*m + 2*m + 4*s = 80, -5*m + 5*s = -90. Suppose -r + 28 = 4*t, t = -r - 0*t + m. Let a = r + -21. What is g(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 23826.1913 - 23825. Round x to two dps.\nAnswer: 1.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76874 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: Solve -2*h + 2*c - 13 = -c, -8 = 2*h - 2*c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 286*u - 1550 = 276*u. Calculate the greatest common factor of 589 and u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 4, b: 1, s: 1, m: 1, c: 1}. Give prob of sequence cj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 3*j - 213. Let r be d(73). Solve -r = -h - 3*n, -h + 7*n - 9*n + 4 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6504747692 to the power of 1\/3, to the nearest integer?\nAnswer: 1867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -180130 divided by -33\nAnswer: 180130\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*n = 13*n - 21. Let c(f) = -f**2 - 9*f - 4. Is 10 a factor of c(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 27 + -23. Calculate the lowest common multiple of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1846 - 1838. Suppose -3*q = 3*q - 2064. What is the highest common factor of d and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.2 + 0.1. Let j = r - 2.9. Let i(v) = v**3 - 31*v**2 + 46*v + 352. Let p be i(29). Which is the third smallest value?  (a) 5  (b) p  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/14 + (-24)\/(-14). Let u(d) = d + 20. Let l be u(-16). Suppose t + 44 = p*t - l*g, -5*t + g = -220. Is 29 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 11 + 5 = 0. What is the second derivative of 79 - x - 339*x**3 + 14*x**5 - 18 + 169*x**3 + 168*x**n wrt x?\nAnswer: 280*x**3 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000357 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * 569.6.\nAnswer: 170.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -216.4443213 to two decimal places.\nAnswer: -216.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29416549 is divided by 1472.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhgwgxlhhhhrrwhxxgw. Give prob of sequence gl.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = -3*u + 6*u. Let d = u + -9. Suppose -2*w + d*w = 12. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19919208 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 36405 + 71a?\nAnswer: 36b23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(-5)*z*z**4)\/(z**3*z*z**2*z))\/((z*z**4)\/z*z*z**(-1\/7))**(2\/35) assuming z is positive.\nAnswer: z**(-1538\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 642 and 535.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(30)\/sqrt(90) - (sqrt(3) - sqrt(9)\/(sqrt(12)\/sqrt(4))).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 3.792167 millennia?\nAnswer: 37.92167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 6*u. Let c(y) = y + 193. Calculate j(c(l)).\nAnswer: 6*l + 1158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002033877 rounded to 6 decimal places?\nAnswer: 0.002034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-5)*(-5)\/2. Let a(g) = -g + 5. Let q be a(3). Solve -r*t = q*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(2\/9))\/f*f**(-2\/7)*(f\/f**(-1))**(-10\/7) assuming f is positive.\nAnswer: f**(-212\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 393960*g - 2363767. What is j(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -2067*h**3 + 2069*h**3 - 2*h**2 + 38*h - 37*h + 4*h**4 + 5 as a + v*h**3 + m*h + j*h**2 + f*h**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.0083 - -3.1083. Let n = u - 2.1. Which is bigger: n or 2\/29?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3037 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 60719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 2*h = -1, d - 19 + 2 = 6*h for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 31182*10\/300 - 2\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -55, -58, -61?\n\"Answer: -3*w - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -141112087\/140 + 1007949. Let b = -5\/28 - r. Calculate the common denominator of b and 34.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 13194610 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10867?\nAnswer: 10867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -21914.\nAnswer: -5\/21914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -235*x + 2362. What is j(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 80*a**2 + 27*a**2 - 2.\nAnswer: -53*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -69\/20 and (99\/(-10))\/(-1)*(-1)\/(-15).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 + 1)\/(18\/198). Let q(j) = 17*j + 2*j**2 + z + 5 - 15*j - 3*j**2. What is the tens digit of q(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2130210 (base 4) in base 7?\nAnswer: -41133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in seventeen quarters of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 4*p = -q - 2, 0 = 3*q + 6. Suppose p*n - 5 = n. Let a = 14 - n. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v and 1 d when four letters picked without replacement from {v: 7, d: 4}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 3 = r, 154 - 144 = 2*r - 2*p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 906.8355 decades in centuries?\nAnswer: 90.68355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 60 and 231588.\nAnswer: 1157940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -13.06 + 825.84.\nAnswer: 812.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 f when two letters picked without replacement from {x: 1, f: 17}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 6*l. Let r(w) = -9*w**2 - 121*w + 75. Let s(x) = -5*x**2 - 66*x + 37. Let k(v) = 6*r(v) - 11*s(v). Calculate k(z(o)).\nAnswer: 36*o**2 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 59826.6*0.9.\nAnswer: 53843.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.126  (b) -2  (c) -3  (d) -2\/13  (e) 0  (f) 104  (g) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u + 4*x - 28, 0 = u + x - 31 + 22. Factor 2\/9*o**3 + 2\/9*o**2 - 2\/9*o**u + 0 - 2\/9*o.\nAnswer: -2*o*(o - 1)**2*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 93 divide 510837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -284*v - h - 215 = -292*v, -v = 5*h - 32 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes after 8:17 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3*p + 2)*(-5*p + p + 2*p) + (-2 + p + 2)*(2*p - 4*p + p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*n + 544 = -4*n. Calculate the remainder when 463 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 + -1 + -2 + -10. Let l be (-4)\/10 - 4\/c. Let u(w) = w**3 - 7*w**2 - 211*w + 1742. Let b be u(9). Solve b*h - p - 1 = -18, -5*h - 3*p - 29 = l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1829023 is divided by 633?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 11183064, 22366130, 33549196, 44732262, 55915328?\n\"Answer: 11183066*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -725504 (base 8) to base 4\nAnswer: -322231010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5626 - (1 - 0\/(-10)) is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1686 divided by -6.\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00003734540359 to 7 dps.\nAnswer: -0.0000373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/(-63))\/((-24)\/21)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 12*u + 5*u = -54. Solve -4*w + 2*i - 6 = 0, i = 3*w + 4*i - u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 117524 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kyyy when four letters picked without replacement from kkkykkykkkyykykk?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -575 (base 8) to base 7.\nAnswer: -1053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/(-21))\/(-6)*6\/(-3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1500, 1485, 1470?\nAnswer: 1455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.34 - -0.04. Let y = -0.14 - -0.1. Let w = y - 0.36. Which is the biggest value?  (a) w  (b) 0  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 460924 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 30 = -5*i, 4*i + 0*i + 20 = 0. Let x be 22\/24 - 7\/7. Which is bigger: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1132412401 (base 5) to base 6\nAnswer: 132114455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 322064136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.47 - 0.67. Sort 4, w, -15, -2\/9 in decreasing order.\nAnswer: 4, w, -2\/9, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-20)\/16)\/(59\/236).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 47 divided by 16317524.\nAnswer: 47\/16317524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 960 + -959.98. What is the closest to 0 in -0.011, 3, u?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 26043.6929 and 20?\nAnswer: 26023.6929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 0) + (-32 - -14 - -22)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -0.1, 0.03909, -0.5, 6\/5, -1\/4?\nAnswer: 0.03909","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r + 1. Let u(h) = -h**2 - 2*h + 2*h**2 - 1 - 2*h**2. Let s(g) = -u(g) + v(g). Factor s(y).\nAnswer: (y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 120 and 49666728?\nAnswer: 248333640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(2*sqrt(252) + sqrt(252)) - (sqrt(7)*1 + 3)*-4.\nAnswer: 12 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 298 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2, -5, 0.408, 136?\nAnswer: 0.408","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1471898?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (0\/(-69))\/((-2)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18.31 + -1.72. Let z = 1.19 - o. Round z to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11765555587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 7 + 0 + (-3 + 2 + 3)*(0 + 1 - 3))*(6*a**3 + 4 - 4)*(-2 + 4 + 0 + (1 - 3 + 0)*(3 - 3 - 1) + 2 - 5 + 2 + 4 - 2 + 0).\nAnswer: 90*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 1 = i. Suppose 2 = -i*k + 8. Solve 3 = -4*z + 4*x - x, 3*z = k*x - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one ninth of a day in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(2744) + 5*(sqrt(2744) + sqrt(2744)*-1 - sqrt(2744))))\/((sqrt(96)*1*6 + sqrt(96) - sqrt(96))\/((sqrt(12) + sqrt(24)\/sqrt(2))*-3)).\nAnswer: -140*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 7 + 3. Calculate the common denominator of 3*-1 - (-315)\/168 and (0 - t) + (-65)\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of k**4\/8 + k**3\/2 + 3*k**2\/4 + k\/2 + 20. Factor w(p).\nAnswer: (p + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vn when two letters picked without replacement from {v: 19, n: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -33?  (a) 47  (b) -0.9  (c) 3  (d) 0.5  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.45 times -7.8104?\nAnswer: 3.51468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 6881*h**2 - 126*h. Let u(r) = -430*r**2 + 8*r. What is -4*c(m) - 63*u(m)?\nAnswer: -434*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*u + 30 = 158 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 4007*f**5 - 8*f**2 - 31*f + 1146. Let u(t) = 1002*t**5 - 2*t**2 - 7*t + 286. Let o(k) = 9*u(k) - 2*z(k). Find the third derivative of o(p) wrt p.\nAnswer: 60240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 84 - 82. Sort -2, 2\/3, v in descending order.\nAnswer: v, 2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*y - 36*y + 89*y - 26*y + 856 - 856.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*y**2 - 53639*y**3 + 53593*y**3 - 3*y**2.\nAnswer: -46*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 2 = -0, 0 = o - 2*w + 6. Let k(m) = -5*m - 2. What is the units digit of k(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1309100303*k - 1056729136 wrt k.\nAnswer: 1309100303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 30906 divided by 606?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -76 - -79. Let s(c) = -c**3 + 4*c**2 - 2*c. Let t be s(3). Let p be (-48)\/(-21) + (1 - t). What is the nearest to p in -2\/7, 1\/2, i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 24205623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 15*j + 7. Let w be k(3). Let s = w - 49. Calculate the greatest common divisor of 2 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 117.6879l?\nAnswer: 117687.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:51 AM and 3:35 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1186*h**3*p**2 + 4*h**3*p - 12*h**2*p - 12*h**2 - p**2 wrt h?\nAnswer: 7116*p**2 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (579 + 982 - 272)*(15 - 15 + 14*i) - 1 + 3 + 4*i - 5*i as g*i + z and give g.\nAnswer: 18045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 334510240 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(32)*2 + (sqrt(16)\/((sqrt(896) - sqrt(56))\/sqrt(7)))**2.\nAnswer: 11\/9 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6780.5 + 6780. Which is the smallest value?  (a) -4  (b) -0.19  (c) 3  (d) k  (e) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(396)*1 + sqrt(396) - sqrt(396))**2 + 4).\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6582381l in millilitres?\nAnswer: 658.2381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -18943769 to the nearest 100000.\nAnswer: -18900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -15*d**5 - d**5 - 16*d**5 + (-3*d**4 - 2*d**4 + 3*d**4)*(-3*d - 3*d + 5*d) + 0*d**5 - 2*d**5 + d**5.\nAnswer: -31*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 2*x**3 + 25*x**2 + 11*x + 9. Let c be z(-12). Suppose -11*n + c*n = 1530. Calculate the remainder when n is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 73*g + 73. Let s(w) = w**2 - w - 1. Give -6*q(f) - 438*s(f).\nAnswer: -438*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k + 1264 - 3778 + 2*k + 1259 + 1265. Let g be 1*21*5\/(-15). Calculate v(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2805 and 12375.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:09 AM and 2:54 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16 + 21 + -34)*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8872357 is divided by 806574.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n + 3. Let o(t) = -t**3 + 3*t**2 + 6*t - 4. Suppose 0 = -4*z + 3*z + 4. Let x be o(z). Suppose q - 1 = x. Determine m(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -666583, -666582, -666581, -666580?\nAnswer: -666579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (90\/(-75) - 1\/(-5))\/((-9)\/(-135)). What is the third smallest value in -3, -5, -4, -9, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d - s - 445, -s + 454 = -5*d - 109. Let m = -103 - d. Solve m = 2*x + 3*j + 2, 5 = 5*x + 5*j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -19*o - 110. Let y(h) = h**3 - h**2 + h + 32. Let m = -33 + 33. What is the least common multiple of u(-6) and y(m)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/((-343)\/35 - 3*(-5)\/(-75)). What is the nearest to j in -2, 0.3, -135?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 349055 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of i**6 + 8*i**5 + 466*i**4 - 3946004*i**2?\nAnswer: 120*i**3 + 480*i**2 + 11184*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 184 a factor of 322552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**22\/z)\/(z*z\/(z\/z**0)*z))\/(z**(1\/2))**36 assuming z is positive.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/1 + 13 + 6\/(-2). Solve -2*r - i = 8, 5*r = 2*r + 4*i + s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16.5907 + -16.520101. Let c = -0.0713 + j. Round c to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19237871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58 + 58 = -20*z. What is the closest to 1 in 3, z, -2\/109, -18?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f**3 - 24*f**2 + 95*f + 12. Let i be p(5). Let m be 132\/22 + (i\/39 - 0). Is m at least -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 222*q - 101*q - 105*q.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 356 by -178.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**1)**(-15\/7))**6 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*o - 17*o = -5*g - 17, 4*o = g - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -20*i + 1. Give y(2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7432130149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1882359 a multiple of 459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the third derivative of -c**7\/336 + c**6\/18 - 5*c**5\/48 + 5*c**4\/6 + c**3\/6 - 6*c**2 - 2*c. Let s(p) be the second derivative of z(p). Factor s(i).\nAnswer: -5*(i - 5)*(3*i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 903?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -225, -481, -737?\n\"Answer: -256*q + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 949400.9 days in milliseconds?\nAnswer: 82028237760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -685 - 689 - 5*w + 2764 - 706 - 684.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 11009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15285, -22338, -29383, -36420, -43449, -50470?\nAnswer: -57483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w + 2245 = 2*w. Let b = 699541\/5 - 139461. Let i = b + w. Which is smaller: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8998 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-586)\/5274*(-4)\/((-40)\/(-9))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (176\/(-56))\/11 + 32\/14. What is the hundreds digit of 214*x\/(-4)*9\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -72040019, -144080043, -216120067, -288160091?\nAnswer: -360200115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1010010111000010 (base 2) in base 9?\nAnswer: -64178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of w**4\/4 + 4*w**3\/3 + 4074*w**2 + 6046*w. What is the derivative of o(f) wrt f?\nAnswer: 6*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the first derivative of 16*o + o**2 - 1\/4*o**4 - 2\/3*o**3 + 1. What is the lowest common multiple of v(0) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2.3  (b) 74.766  (c) -0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -254565*n + 1018196. Determine x(4).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = b - 2*b. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -28*b**3 + 25*b**2 + 33*b - 102. Let o(c) = 65*c**3 - 50*c**2 - 67*c + 204. Let w(v) = -3*o(v) - 7*x(v). Give w(26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**3 + 12*t**2 - 12*t + 11. Let n be k(6). Suppose -6*x + x - n = 0. Let w = x - -55. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*z = -67016 + 66256 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 515 = -p, -5 + 10 = -f. Suppose -4*w - p = g, w + 2*g = -22 - 111. Is 0 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -2076*u - 3421 = -1765*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 447943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**2 + 592*t + 590.\nAnswer: 2*(t + 1)*(t + 295)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-25 - (-11 + -9 + 10)) + -7.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8486163?\nAnswer: 3, 7, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -h**5 - 1181*h**3 - 8*h - 37 wrt h.\nAnswer: -20*h**3 - 7086*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from {d: 2, j: 2, i: 2, m: 1, r: 1, l: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d + 33. Let i be g(15). Let r be 94\/i - 6\/27. Let t = -0.03 + -0.37. Put -1, t, r in ascending order.\nAnswer: -1, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.7?  (a) 3  (b) 0.9  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 20158*b - 363 - 20158*b + 4*b**2 in the form r*b**2 + t*b + a and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 2*i. Let v(n) = -410*n**2 + 998*n**2 + 551*n**2 - 20*n**2 + 3662*n**2. Calculate w(v(k)).\nAnswer: 9562*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -230 - 43030?\nAnswer: -43300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s = 4*q + 23, -4*s + 9 + 11 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 489901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 8*p**2 - 3*p - 1. Let l be (5\/(-15))\/((-1)\/27). Suppose 3*d = l*d + 12. What is the tens digit of v(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -576 + 1120. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 137042495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -z, -2*q + 0*z + z + 11 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 3*z**3 + 2*z**4 - z**4 - z + z**3 - z to h*z**3 + s + f*z**2 + u*z**4 + p*z and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 5 - ((-24 - -26) + -17 + 7)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15039 and 47167317?\nAnswer: 5013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*y = 149 + 299 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iraiiririr. Give prob of picking 3 i.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64*u + 63*u = -s - 35, 2*u = 4*s + 144. Sort -3, 4, -2, s.\nAnswer: s, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103 a factor of 125616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/9*135\/90?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33966971 a multiple of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c**4 + 4*c**4 - 3*c**4)*(3*c + 7*c - 5*c) - 2*c**5 - c**5 + 4*c**5 + (0*c**4 + c**4 + 0*c**4)*(2*c + 3*c - 4*c).\nAnswer: 7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a\/(a*a**(2\/11))*a)\/((a*a\/a**(-1\/4))\/a)*a\/(a*a\/a**(1\/2)*a)*a**3*(a**(2\/11)*a)\/(a**(3\/8)\/a)*(a*a\/a**0)**21 assuming a is positive.\nAnswer: a**(367\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1350356 and 812?\nAnswer: 1350356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -98968*m - 692778. Calculate r(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 130109320 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1608 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3\/224 + -2425\/2912. Suppose -36 = -372*g + 378*g. What is the common denominator of -5 - 136\/(-64) - g and m?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*10\/(-315) - (-30)\/(-420)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -4062*j - 584928. Calculate g(-144).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -416*d**3 + 2*d + 1. Let c = 29 - 19. Let o(a) = -a + 9. Let m be o(c). Is w(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -487*y = -489*y + 13909 + 8175. Round y to the nearest 100.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of -q**4\/6 - 4*q**3\/3 - 5*q**2\/2 + 2*q. Let k be b(-3). What is the common denominator of 22\/7 and (-660)\/24 - 4*k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 449217, 898439, 1347661, 1796883?\n\"Answer: 449222*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**3 + u**2 + u - 13. Let f be y(-10). Let v = f + 1624. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: Determine j, given that 2*j**4 + 4680*j**3 + 1482348*j**2 - 1611980536*j - 1613458206 = 0.\nAnswer: -1381, -1, 423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q - 2*q - z + 64, -2*z - 15 = -q. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*-6*sqrt(2268))\/(4*(sqrt(64) - (sqrt(64)*-4 + sqrt(64) + sqrt(64)))))**2.\nAnswer: 5103\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (-2 + (3 - 2) + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:57 AM and 1:38 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 28721436 = -4*j. Let m = 1074689 + 1505670. Let b = m + j. What is b rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 61941777 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 428003455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes before 1:14 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -96d3c + -1?\nAnswer: -96d3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/((-1 - 70\/(-90))*(-27)\/15). Let z = -0.6 + -0.4. Which is the closest to 2\/3?  (a) z  (b) -3  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7861997 to the nearest integer?\nAnswer: 2804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 136 a factor of 4280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*o + 3*o + 98. Let i(x) = -x**3 + 16*x**2 - 5*x + 14. Let c be i(o). Suppose c - 116 = 4*v. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 50180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 543 = -2*m - 4*w - 415, 2*m + 956 = -2*w. Let l = 1273 + m. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4001.2016 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - r - 2 + (2*r - 18*r - 9*r)*(-27 - 2 - 13) to the form g + m*r and give m.\nAnswer: 1049","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.2 + 0. Let s = t + -0.3. Let o be -17*(-8)\/20 - (46 + -39). Sort 0, o, s in decreasing order.\nAnswer: 0, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5916 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from mixiiiiullxmpp?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.41  (b) 1  (c) -1  (d) -20883  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (7 - 14)*(-2 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(-3) - 19\/(-3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*j - 4*j + 2*j**2)*(-2*j - 3*j + 3*j) + (2 + j - 2)*(j - 3*j**2 - j) + 2*j**3 - 3*j**3 + 0*j**3 as b*j**3 + n*j + z*j**2 + v and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1187842515?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/(-42) - 14*8\/784\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 17\/(-10) - (-6)\/12. Suppose 3*o = o - 2. Is d < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 - (-20)\/6)*(-162)\/90. Let v be 7\/(-7)*(s - -3). Solve -45 = -5*j - 5*h, v*h + 3 + 2 = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4476.6 - -4477. Let k be (-497)\/28 - 2\/8. Let p = 32 + k. Sort 4, b, p in ascending order.\nAnswer: b, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -173 = 4*k - 453. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((43\/(-129))\/((-1)\/1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -774 + 774.02. Which is the nearest to -2?  (a) j  (b) 0.1  (c) 4  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1574535, -1573898, -1573249, -1572582, -1571891, -1571170, -1570413?\n\"Answer: u**3 + 630*u - 1575166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 188 = 8*h - 4*h. Calculate the remainder when 233 is divided by h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52681*m - q + 1 = 52686*m, -q = -5*m + 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-220)\/264 + 33\/18. Are z and -2\/901 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d - 1 + 1 + (d + 5*d - 2*d)*(-195 - 195 + 383).\nAnswer: -29*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 442 or 444?\nAnswer: 444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 + 19. Suppose 2*b - 152 = -2*a - b, 422 = p*a - 3*b. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.7716395 to two decimal places.\nAnswer: -7.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -n - c - 3, -33 = -5*n - 2*c. Suppose k = -n + 18. Let p = -4 + 11. Calculate the remainder when k is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6\/47 in -4, 25, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**2 - w - 9. What is the remainder when b(5) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 2*v = -3, -33*v = -2*k - 34*v + 6. Let m be ((-8)\/3)\/((-2)\/(-9)). Put k, m, 2, -5 in decreasing order.\nAnswer: k, 2, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -31*r + 148*r - 1255*r**2 - 117*r in the form d*r**2 + m + c*r and give d.\nAnswer: -1255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 18884*a + 357904. Calculate z(-19).\nAnswer: -892","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j + 4*j + 7*j)*(-3 + 3*j**2 + 0*j**2 + 1).\nAnswer: 36*j**3 - 24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 470548 to the nearest 10000.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 0)*(-2*v + 2*v + v) + (-1 - v + 1)*(-258 + 132 + 228).\nAnswer: -101*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**3 + 7*v**2 - 5*v - 5. Let d be h(6). List the prime factors of (d - 3)\/((-8)\/36).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -180 + 179.27. Let f = d - -0.7299412. What is f rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1105*c*j*m**2 - 18*c*j*m - 4*c*m**2 - 25*c*m - 2*j*m**2 - 3*j*m - m**2 - m + 2 wrt m?\nAnswer: 2210*c*j - 8*c - 4*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -34 - -40.4. What is l rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -119612 and 11?\nAnswer: -1315732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -296013330 to the nearest 100000.\nAnswer: -296000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 19222014109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 863893 is divided by 11356?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 251 + -214. Calculate the remainder when 331 is divided by g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20*-3.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -69*v**2 + 65*v**2 - 2 - 1 - 4*v + v**2 + 4*v - 5*v**2 + v**2 + 2*v**2 + (2*v**2 - v + v)*(1 + 1 - 3) - 3*v**2 + v**2 + v**2.\nAnswer: -8*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 30*t + 5. Let g(z) = -91*z - 16. Let v(d) = 6*g(d) + 17*r(d). Is v(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 32*l**3 + 19*l**4 + 25*l**3 + 2 + l**2 + 18*l**3 - 70*l**3 to the form v*l**3 + i + o*l + g*l**2 + p*l**4 and give p.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 34 = -w + 58, w - 56 = 5*h. Let j(u) = -14*u + 3. Let s be j(13). Let g = w + s. Round g to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -58d37b - 18?\nAnswer: -58d395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 - 8. Suppose 12 = 2*z - 2*c, -2*z + 10 = -u*z - 4*c. Suppose z*n - 2*n - 40 = 0. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -4*b**2\/9 + 8182028*b\/9 + 261828992\/9 = 0.\nAnswer: -32, 2045539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 + -1)*(-4)\/(48\/60)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2406 and 210?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 - 4*a**3 + 1)*(-2 + 2 - 7*a).\nAnswer: 28*a**4 - 14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 780\/6900 + (-2)\/(-23). Factor -2\/5*z + 0 + w*z**2.\nAnswer: z*(z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -801\/341 - 23\/31. Find the common denominator of 63\/4 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -10*r + 9. Let v(t) = 22*t - 18. Suppose 37 = 2*d + 4*h - 1, -4*d + 37 = -5*h. Let m(b) = d*q(b) + 6*v(b). Calculate m(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 5, m: 5, i: 8}. Give prob of sequence didd.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**3 - 2*n**2 + 2*n + 2. Let a be m(2). Let j(k) = 3*k**2 - 12*k + 1. Is j(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 576 and 5?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = 4*r - 20. Suppose -4*c + c + 4 = 2*g, r*c + 3*g = 6. Is -2 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*j*p**3*r*y + j*p**3 + 1150*j*y + 10*p**3 - 1429*r*y wrt j?\nAnswer: -2*p**3*r*y + p**3 + 1150*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 12953022 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*u + 4*u + 2*u + (26 - 53 + 29)*(u - 3*u + u) as l + j*u and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -77\/30 or -4?\nAnswer: -77\/30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*x**0\/x)**(6\/7)*(x**(1\/3))**(4\/27) assuming x is positive.\nAnswer: x**(514\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + g - 25 = -4*l, -15 = -5*g. Suppose -l*m = 0, -2*s - 3*m + 8 = -m. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.061138 + -0.06726. Round i to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 62, 59, 52, 41, 26, 7, -16?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.01, 1\/3, 1\/8, 8?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the second derivative of -z**9\/20160 + z**8\/4480 - z**7\/3360 + 5*z**4\/6 + 12*z. Let s(a) be the third derivative of y(a). Factor s(n).\nAnswer: -3*n**2*(n - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d**2\/7 + 25908*d\/7 + 51808\/7 = 0. Calculate d.\nAnswer: -12952, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (18 - 10) + -2 + -2 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -7, 0.56, 186, 2\/11 in increasing order.\nAnswer: -7, -0.4, 2\/11, 0.56, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 330539041?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9 + 0. Let l = g + 5. Let x = -0.01 + 0.01. What is the nearest to 0.2 in -5, l, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -2*f**3\/7 + 2482*f**2\/7 + 25020*f + 172656\/7 = 0.\nAnswer: -66, -1, 1308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 142 - 47 = 0. Let z be (1 + -3)\/((-2)\/p). Suppose -97*k = -100*k + 456. Calculate the highest common factor of z and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-12) - 1)\/((-9)\/(-108))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(42) - (sqrt(42) - sqrt(5082))*-6) + (sqrt(2688) - (sqrt(2688) + (sqrt(2688) - sqrt(2688)*-2) + sqrt(2688))))\/(6*-3*-1*sqrt(726)).\nAnswer: -91*sqrt(7)\/198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -275*v**2 - 212*v + 137*v**2 + 133*v**2.\nAnswer: -5*v**2 - 212*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 - -13. Suppose a + 2*a - 4*k = 14, 0 = -a + k + c. Calculate the smallest common multiple of a and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = -5*a - l - 67, a = -2*l + 11*l - 18 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 214516091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -130 or -8255?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 4*-2*(-1 + sqrt(972) + 3 + 6*sqrt(972)*-1 + sqrt(972))*1)**2.\nAnswer: -24192*sqrt(3) + 995769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-613)\/(-3) + 2\/(-6). Let u = g - 318. What is the tens digit of 4\/(-14) - u\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 4*o - 10408 = 0, 0 = -2*r + 293*o - 292*o + 5195. Solve r*i - 12 = 2596*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 10*u - 200. What is the remainder when 34 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -5396, -5197, -4998, -4799?\n\"Answer: 199*u - 5595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*d + 11 = 59. Which is smaller: d or 13\/25?\nAnswer: 13\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -2*m**4 + 16*m**3 - 42*m**2 + 44*m - 16 = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-44)\/3)\/(((-2)\/9)\/1). Which is smaller: q or 67?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1011011000000 (base 2) to base 16.\nAnswer: -16c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 597 and 4577.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -4, 4\/8209, 3, 0.21, -1\/3, 1.29?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 238462 divided by -2.\nAnswer: -119231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, -7, -3151 in increasing order.\nAnswer: -3151, -7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2 + 2*p + 26. Let y = -1058 + 1068. Determine z(y).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -243 - -245. Which is the closest to -4?  (a) 2\/3  (b) d  (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*g + 69 = 177. Let o = -6 - -4. Put g, 2, o, -11 in descending order.\nAnswer: g, 2, o, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3148 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -5*3*1*9\/27*-19\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert b317b (base 12) to base 6.\nAnswer: 5001035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s + 2. Let v be j(4). Let i be (-7)\/(-7) - (-1 - v). Differentiate 5*n**4 + 0 + i*n**2 + 0*n**2 - 4 with respect to n.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17 - 10. Suppose -h*b - 40 = -2*b. Let l(y) = -y + 11. Is l(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 168 = 17*q - 36. What is the remainder when 26 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**3 - 4*r**2 + 5*r - 11. What is h(-7)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 169 = t + 166, 4*t = -l - 1351. Let m = 367 + t. Solve -5*x - m = -2*g, 2*x + 6 = -3*g + 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ciwr when four letters picked without replacement from bbbwbicicbrbbb.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the third derivative of -2*g**2 + 0*g**4 - 1\/30*g**5 + 0*g + 0 + 0*g**3. Let z(h) = 11*h**2. Calculate z(b(d)).\nAnswer: 44*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -366, -483, -176, 555, 1710, 3289?\n\"Answer: 212*k**2 - 753*k + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**2. Let d(y) be the first derivative of -y**5\/20 - 3*y**2\/2 - 1. Let s(o) be the second derivative of d(o). Determine c(s(w)).\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 56 + -59. Let h = -4 - -8. Let l(n) = -n**3 + 4*n**2 - 2. Let b be l(h). Put -1, b, s in increasing order.\nAnswer: s, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5169112 - 5169108.999987. Let d = -3 + v. Round d to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -3283697*h**2. Let l(b) = -5*b. Calculate x(l(z)).\nAnswer: -82092425*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17596051, 35192110, 52788169?\nAnswer: 70384228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 172*o + 49*o + 287 = -66*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.1925 * 0.106\nAnswer: -0.020405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.08 - 0.02. Let x = w - 3.06. Let i = x - -2.9. Is i equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10479, -10509, -10553, -10617, -10707, -10829, -10989, -11193?\nAnswer: -11447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y**3 + 194*y**2 + 2390*y + 5478 = 0 for y.\nAnswer: -83, -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 - 1)*(-4*v + 2*v + 0*v) + v - 257 + v - 465 in the form o + j*v and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.146 - 0.17. Let j = u + 1.054. Round j to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 671 and 5?\nAnswer: 3355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 8 = u - 0*z, 20*z - 1840 + 1752 = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.004434 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -2*k + 7. Let j(z) = -6*z + 25. Let p(y) = 2*j(y) - 7*r(y). Let x be -3 + 3 + 5 + -2. Let o(t) = -2*t - 1. Calculate x*p(l) + 4*o(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3536 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/64 and -31\/32?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7) + 0)*-1*4 + (-1 + sqrt(175))*3)**2 + 0.\nAnswer: -66*sqrt(7) + 856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -3971213?\nAnswer: -4\/3971213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and -31.2.\nAnswer: -124.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the first derivative of -3*f**2\/2 + 25*f + 6. Let x be p(9). Let c(b) = -b**2 + 2*b. Determine c(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -4*u. Let j(f) = -793*f**2. What is j(a(p))?\nAnswer: -12688*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the third derivative of -d**7\/1680 + d**6\/320 + d**5\/480 - d**4\/64 - 639*d**2. Factor b(v).\nAnswer: -v*(v - 3)*(v - 1)*(v + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 times 307?\nAnswer: 29472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6 + 5?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.27 + 0.3. Let v = d - 3.03. Let l(u) = 3*u**2 - 56*u - 82. Let z be l(20). What is the smallest value in v, -3\/7, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 171\/102600*-48 - (-4)\/(-50).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 52, 61, 70, 79?\n\"Answer: 9*d + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/2187  (b) -24\/13  (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 16 = t. Let l be 6 + 6\/(-2) + 1. Suppose l*n + 8 = 5*n. Calculate the highest common factor of t and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -832, -812, -792, -772, -752, -732?\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1335732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 93*2\/63 - (-2304)\/(-864). Put l, 0.15, -0.2, -12\/13 in decreasing order.\nAnswer: l, 0.15, -0.2, -12\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/51 + -219*(-1)\/((-72)\/8)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -247682303 - 5?\nAnswer: -247682308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 - -5d4b?\nAnswer: 5d51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/350848 and 26\/24669.\nAnswer: 3157632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:38 AM and 11:14 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -2389*t**3 + 9*t**2 + 6*t - 3. Let r(g) = 4*g**2 - 12*g - 4 - 1194*g**3 - 14*g + 29*g + 3. Let y(z) = -3*l(z) + 7*r(z). Is y(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(80)\/sqrt(4)*2)\/(sqrt(110)\/(sqrt(11) + sqrt(99) + sqrt(11))) - (-2 + sqrt(242) + 5 + 0)).\nAnswer: -9 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 6, d: 1, f: 3, i: 4, a: 5, w: 1}. What is prob of picking 1 w and 3 a?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y - 5. Let r(s) = s**2 + 2*s - 3. Let d be r(2). Let o be g(d). Let b = 5 - o. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 - -15ec?\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 3*i**2 - 2*i + 1. Let k(q) = 5*q**2 + 15*q - 4. Let y(h) = -2*a(h) + k(h). Determine y(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4.5 - -0.5. Let d be 7 - (2 + -4 + 1). Let y be (4\/14)\/(d\/14). Sort a, 3, y in decreasing order.\nAnswer: 3, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 704193 by 21.\nAnswer: 33533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 99874 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4.61676 - 393377.\nAnswer: -393372.38324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**3\/19 + 110*b**2\/19 + 104*b\/19 - 216\/19.\nAnswer: 2*(b - 1)*(b + 2)*(b + 54)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 4606, 4905, 5214, 5539, 5886, 6261, 6670, 7119?\n\"Answer: a**3 - a**2 + 295*a + 4311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2536353 divided by -93939.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -18305*266\nAnswer: -4869130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 7233219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**6*o*(o\/((o*o**(-5)*o)\/o))\/o)\/((o**(-33)\/o)\/(o**(-5\/6)*o*o)))**6 assuming o is positive.\nAnswer: o**277","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -2004*v - 2142. Is 15 a factor of z(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -25  (b) 976469\/6  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*t**2 - 75946*t + 85*t**2 + 75944*t.\nAnswer: 60*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000232145087 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 - -13 - (-2 - -1 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1 - 4)*(5 + 156\/(-30)). Is a < 20\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10540 - -16131. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1267859 is divided by 565?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 143818?\nAnswer: 1294362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u = 11*u + 60. Let y = u + 25. Let q = y - 17. Which is the nearest to 1?  (a) 0.4  (b) q  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.0682 + -3.0682. Suppose -4*r + 17 = 3*b, 2*r - 7 = -b + 2. Let k = 8 - 8.6. Sort -5, b, f, k in descending order.\nAnswer: k, b, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -1\/5  (b) 971  (c) 4  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 551*y - 4186 = 369*y for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.019 + -0.181. Let i = -0.06 + 0.36. Which is the biggest value?  (a) i  (b) 1  (c) n  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 119724058 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1108a + 4?\nAnswer: -11086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 653171 = 61*u + 118*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 33*c - 9. Let l be b(4). Suppose 58*w = 57*w + l. Suppose 2*g - 101 = w. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 205002727?\nAnswer: 2069, 99083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kakdddaaannkdkaaknk. What is prob of picking 1 d and 1 a?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3050 is divided by 33?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23673107, 23673106, 23673105, 23673104, 23673103, 23673102?\nAnswer: 23673101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -70 + -6 + 32 + 8?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 3033012 to the nearest ten thousand.\nAnswer: 3030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 51\/68 + (-3)\/4. Suppose -7*k + 8*k - 4 = u. Solve 3*z - 5*y + 4 + 1 = 0, 5*z + k*y + 33 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n. Let j(g) = -77*g**2 + 6*g. Let q(b) = -538*b**2 + 44*b. Let t(r) = -44*j(r) + 6*q(r). Determine t(d(h)).\nAnswer: 160*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -37167*j**6 - 31*j**5 + 1014097*j**2 - j + 1 wrt j?\nAnswer: -4460040*j**3 - 1860*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 50540?\nAnswer: 50540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/34)\/(231\/2618)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.004020626 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 + 3*b)*(-91 - b**3 - 96 + 196) as v*b**2 + q*b**3 + r*b + g*b**4 + j and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, n: 1, y: 2}. What is prob of sequence ny?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/7 - 5\/(280\/1712). Let f = j - -84. List the prime factors of f.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1808 divided by -15056.\nAnswer: 113\/941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 + (-21)\/12)*(451\/(-99) - -5). Factor 1 + 2\/3*f + t*f**2.\nAnswer: (f + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 618 + -643. Suppose -2*c + 19 = -39. Let z = n + c. Solve -5*k = 5*y - 5, -2*y + 4 = z*k - 7*y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 894380?\nAnswer: 2, 5, 197, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2*k - 6. Let c be n(-8). Calculate the highest common factor of 40 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13420230289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 23.1*-2461.88\nAnswer: -56869.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 17938 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -a**5\/3 + 1181*a**4\/3 + 7129*a**3\/3 - 8309*a**2\/3 = 0.\nAnswer: -7, 0, 1, 1187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -40055.209 - -57.3?\nAnswer: -39997.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (((-391)\/(-6))\/((-4)\/(-16)))\/((-100)\/(-450)).\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.5, 17, 1, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/6*1\/(-4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:53 AM and 2:53 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -4350 plus -85.7?\nAnswer: -4435.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -148d3c (base 16) in base 11?\nAnswer: -83aa23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1107, 10733, 20359?\n\"Answer: 9626*x - 8519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y. Let i(d) = 75708*d**2. Calculate i(o(f)).\nAnswer: 75708*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 8\/13 bigger than -13692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1721 (base 11) to base 12\nAnswer: -1335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -1480.95683 to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/9906 and 7\/232707.\nAnswer: 768398514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 18240 and 18848.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/30 and -73\/87.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*u + 0*u + 4*u)*(-u - 3 + 3) + 1 + u**2 - 1 - u**2 + 2*u**2 - 2*u**2 - 4038*u**2 - 4142*u + 4142*u.\nAnswer: -4037*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 26935 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(-4\/9))\/c*c)**(-50)\/(c*c**(-13)\/c*c*c\/c**(-10)) assuming c is positive.\nAnswer: c**(-241\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the first derivative of -5*g**2 - 6*g + 58. Let x(o) = o. Calculate h(x(d)).\nAnswer: -10*d - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 160959 - -19334. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:31 AM and 9:29 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 940*h - 1535*h + 7112 = -4193 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 2*d - 5*z + 18 = 0, -4*z + 18 = 3*d. Solve -4 = n - d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1640 divide 30523565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y = 4*r - 2194 + 2187, -5*y + 11*r = 27 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/4 in 2\/3, 3.5, 4, 1\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 31*l - 17*l + 35*l + 15*l + 1216 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 24 in 569, 76, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(108) + 0).\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -6, -0.4, -0.01.\nAnswer: -6, -0.4, -0.01, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/2, 20425, 1\/3, 4, 0.4 in decreasing order.\nAnswer: 20425, 4, 3\/2, 0.4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 705.09 rounded to the nearest 10?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*w - 27*w = -4158. What are the prime factors of w?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 3*c**2. Let s be (4\/(-6))\/(2\/(-12)). Let i be ((-135)\/(-10))\/(3\/s). Let r(p) = -18*p + i*p + 4*p**2. Determine r(u(b)).\nAnswer: 36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**3 + 21*o**2 - o - 14. Let l be t(-21). Find the second derivative of l + 2*v**2 + 48*v**3 + 11 - 18 + 73*v wrt v.\nAnswer: 288*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the second derivative of 2*a**3 - 51*a + 1\/8*a**4 + 9*a**2 - 1. Let p(f) = 0. What is f?\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 10641 and -0.391.\nAnswer: -4160.631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 8*f**3 - 11*f**2 + 2*f - 11. Let t(r) = 4*r**3 - 5*r**2 + r - 5. Determine -13*t(h) + 6*u(h).\nAnswer: -4*h**3 - h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6)\/(sqrt(108)\/sqrt(9)))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express x**2 + 24*x**2 + x**2 + x**3 - 15*x**2 - 3*x**3 + 2*x in the form y*x**3 + h + t*x**2 + m*x and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-97 - -200) + (2 - 20)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 688910*o*s**2 + 15*o*s - 2013*o - 2*s + 2 wrt s.\nAnswer: 1377820*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-7) + (-444)\/(-14). Let w = n + -12. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 8, y: 7, o: 2, j: 2}. What is prob of sequence jjy?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 - (-29 - -25) - (-10 + 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -56 + -4. Let p = 85 - f. Is p > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -899, -1800, -2701, -3602, -4503, -5404?\n\"Answer: -901*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 9506567 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17569.\nAnswer: 17569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -25 + 45. Suppose 5*h - 5*n + m = 0, n = -3*h - n - 2. Suppose 3*b + 6 = 18. Put h, b, 2 in decreasing order.\nAnswer: b, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 18 = 2*q + 1, -4*q - 47 = -3*c for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -4*r - 612, 4*u - 580 = 2*r + 24. What are the prime factors of u?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(19) + 1*sqrt(304))*-6 - -6*-2*sqrt(171)*1)**2.\nAnswer: 528*sqrt(19) + 82780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -22\/9 and (-2 + -2 + 38 + 1)\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 11*r**4 - 1039*r**3.\nAnswer: r**3*(11*r - 1039)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 80 - -128711?\nAnswer: 128801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 260 and 2855.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(475) - (-1 + sqrt(475)) - sqrt(475)))*-5.\nAnswer: 5 + 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -33 - -28. Sort 1, 5, c, 7.\nAnswer: c, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-1) + -9)*2\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**2 + 0*q + 0*q**2 - 3*q - 2)*(-40*q - 1995 + 1995).\nAnswer: 40*q**3 + 120*q**2 + 80*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -303 - -982\/3. Let z be 1*280762\/(-20) - -3. Let d = z + 14024. Find the common denominator of v and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -10*p + 16. What is the tens digit of g(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67*s**3 + 2 + 63*s**3 - 2.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/17*(-9588)\/376.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14010021 and 51370077?\nAnswer: 154110231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -466, -862, -1166, -1378, -1498?\n\"Answer: 46*i**2 - 534*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iqjiqiiqrjr. Give prob of sequence ji.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -3*a**2 - a**3 + 2*a - 1 - 2*a - 3*a. Let t be f(-2). Suppose -7*g + 115 = -2*g. Solve m - 3*h = -m - g, -m + t = h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15432140 rounded to the nearest 10000?\nAnswer: 15430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -8 - 7b8?\nAnswer: -7c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/1288 and 49\/46?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -59 + 97. Suppose 0 = -4*m + 3*o - w + 12, 3*o = 6. List the prime factors of 0 - m - (2 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1962 + -1110. Suppose -k = -7*x + 3*x. Suppose 3*q - x = -57. Is q a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + i - 2 = 0, -4*i = -c + i + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27 + -1 - (44 + (-24 - -25)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 30.872 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 156356 and 14484.\nAnswer: 566165076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2\/5 - 57*h\/5 + 722\/5.\nAnswer: (h - 38)*(h - 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.27*-1273.\nAnswer: -343.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4153*g + 12523*g - 4166*g - 4178*g + 2.\nAnswer: 26*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -47*o + 86*o - 93 - 66*o in the form g*o + r and give r.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = 25 - 13. Let c be (-3)\/(j - 48\/(-20)). Suppose -q = -5*q + c*i + 662, 3*q = 2*i + 500. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 - 2. Let z be 4 - (-5 + 2699\/3). Let v = z + 891. Which is the closest to v?  (a) -6\/7  (b) -1\/4  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:59 AM and 2:57 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3980.58 - -3978. Which is the closest to 2\/3?  (a) s  (b) -0.5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 946\/27 + -4703\/135. Let w be (-5)\/(-2)*4\/(-25). What is the closest to -2 in w, 0.4, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1ba - b1c21?\nAnswer: -b210b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the third derivative of -7*a**5\/60 - 5*a**4\/24 + 7*a**3\/6 + 15*a**2. Differentiate h(t) wrt t.\nAnswer: -14*t - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (199*k**4 - 394*k**4 + 197*k**4 - 262*k**3)*(1 + 0 + 0) + 2*k**4 + 0*k**4 - 5*k**4.\nAnswer: -k**4 - 262*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 4*u - f, 2*u + 16 = 5*f - 1. Suppose 0*j + u*j = -20, 0 = a + j + 8. Let i(v) = v - 1. Let b(d) = -d + 1. Calculate a*i(t) - 2*b(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * 3590\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 492609, 984969, 1477353, 1969773, 2462241?\nAnswer: 2954769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -3*x + 2. Let i be b(-6). Let t be (-58)\/(-18) - i\/90. Suppose -10 = -4*n + 5*m, n + 2*m = -4*n - 4. Solve -4*a = -w + 3*w, -t*a + w - 5 = n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r**4 + r**4 - 4*r**4 + (-1 + 0 - 1)*(0*r**2 + r**4 + 0*r**2) + (-2*r**3 - r**3 + r**3)*(-3*r - r + 2*r).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of -5*p**2 - 1\/210*p**7 - 1\/120*p**6 + 0*p + 0 + 1\/60*p**5 + 0*p**3 + 1\/24*p**4. Find k, given that r(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75*b + 44*b + 12669760 = -18*b. What is b rounded to the nearest 1000?\nAnswer: -92000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76527024.\nAnswer: 2, 3, 7, 32537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 490 and 453880.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -q - 285 - 511, d - 4*q = 214. List the prime factors of d.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -180748*l**3*q**3 + 7*l**3*q**2 + 8180393*l**3 wrt q.\nAnswer: -542244*l**3*q**2 + 14*l**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/1052 and 24\/5.\nAnswer: 5260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.5 - 6.5. Let f = 1.2 - 0.2. Is c at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 130 and 1070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/(-4) + 39\/4. Differentiate -8*o**2 + h - 6 - 6 with respect to o.\nAnswer: -16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**2 + 34*j + 169. Give v(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/24 and -14 + -35*373\/(-933)?\nAnswer: 7464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -5426*r + 282. Let d be m(7). What is d rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -497 - 15 = -8*i. What is the second derivative of -21*w + 437 + i*w**3 - 22*w - 437 wrt w?\nAnswer: 384*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 146431190 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is (45 + (-14580)\/(-28))\/((-2)\/(-105)) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 - ((-15)\/9)\/(-1). Which is the smallest value?  (a) 1\/4  (b) u  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -20 - -20. Let m = 170\/3 + -56. What is the nearest to 0.1 in m, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 285, 280, 273, 264, 253?\n\"Answer: -q**2 - 2*q + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 0*j**4 - 7*j**5 - 49*j + 51*j + 0*j**4 wrt j.\nAnswer: -140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 + 11*z**2 + 14*z - 22. Let j be -2 + -1 + 5 + -2 + 12. What is the smallest common multiple of p(j) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26 and 31438498.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 2*u + 2)*(-3 - 2*u + 3) + 13*u**2 + 43*u**2 + 50*u**2)*(-2 - 4 + 5)*(-2*u**3 - 3*u**3 + 2*u**3).\nAnswer: 330*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 28425 and 47754.\nAnswer: 1193850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4\/7, -1\/4, -1, -23053, 1 in descending order.\nAnswer: 2, 1, 4\/7, -1\/4, -1, -23053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -2*v - 12. Let w be q(-7). Suppose 0 = w*r + t - 219, -t + 123 + 318 = 4*r. List the prime factors of r.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -1307*j. Let l(u) = 24794*u. Give x(l(o)).\nAnswer: -32405758*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -732511, -1465126, -2197741?\n\"Answer: -732615*l + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -14\/26844101 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r**3 + 0*r**3 + 3*r**3)*(r + r - 4*r) + r - 3*r + 11*r**3 + 382*r**4 - 386*r**4.\nAnswer: -16*r**4 + 11*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-240)\/(-25) + 5 - 4\/(-10). Solve 19 = -r + a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence my when two letters picked without replacement from zmmzoyyzzzoo?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -121\/5 - 1\/5*b**2 - 22\/5*b = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -107*z**3 + 6*z**2 - 4*z + 9. Let a be p(-6). Suppose a = 10*r + 5351. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**1\/(s**(1\/2)\/s*s))\/(s**(-2\/5))**(-6\/23) assuming s is positive.\nAnswer: s**(91\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000013246547642 to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.943922 millilitres to litres.\nAnswer: 0.002943922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k - 2*k - 6*k**2 + 3*k**2 - k**3. Let w(i) = 3*i**3 + 8*i**2 + 8*i. Let q = -20 + 12. What is q*z(l) - 3*w(l)?\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 2\/125 of a centimeter?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1763 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 - -2d?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -499, -993, -1485, -1975, -2463, -2949?\n\"Answer: j**2 - 497*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10235*d*i*k**3 + 3*d*i*k + 2275*d*k**3 + 24*d*k + 2*i*k**2 + 29432*i + k**3 wrt k?\nAnswer: -61410*d*i + 13650*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 - (28 - 21) - -113*1 and 152?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of c**4\/4 + c**3 + c**2\/2 + 3*c. Let y(w) = 2*w + 3. Let h be y(-3). Calculate the remainder when v(h) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -8*y**2. Suppose 5 + 145 = 10*k. Let b(z) = -12*z**2 + k*z**2 + z**2. Calculate b(c(a)).\nAnswer: 256*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -208716 divided by -6?\nAnswer: 34786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 256 divided by 4?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12037*c**3 - 23997*c**3 + 11966*c**3.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the third derivative of -u**6\/120 + u**5\/15 + u**4\/4 + 2*u**3\/3 - 4*u**2. Calculate r(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 58810050 divided by 1507950?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-2 + -2*sqrt(2448) + -5 + sqrt(2448) + 5*(2 + sqrt(2448)) + sqrt(2448) + 1 + -2)**2.\nAnswer: -367224 - 1440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*j + 108 = 29*j. Suppose 0 = 3*d - j*d + 105483. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 480 and 20?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 76487989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -11*l**2 + 2910*l - 7412. What is x(262)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20 and 216500.\nAnswer: 216500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77 - 258 = -r - 3*y, -1719 = -5*r - 4*y. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(104)\/(-3*sqrt(8)*-1 - sqrt(8)) + (6*(sqrt(143) + sqrt(143) + sqrt(143)*1 + sqrt(143) + sqrt(143)) - sqrt(143))\/sqrt(11).\nAnswer: 59*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of u**4 - 10102243*u**3 + 15*u**2 - 34*u - 11949 wrt u?\nAnswer: 24*u - 60613458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 7*m**2 - m - 2. Let q be t(-1). Suppose -2*n + 22 = 4*p, -q*n - 3*p + 33 = -3*n. Solve 4*o = g - n, -o - 2*o = 2*g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1312346 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 994063310 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 1337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6153821 is divided by 261?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 - 7. What is the nearest to -0.1 in 4, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.1, 3\/13, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5\/2, 1\/3, -165?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is f in f**3\/3 + 48196*f**2\/3 - 96401*f + 144606 = 0?\nAnswer: -48202, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -f5e (base 16) to base 4.\nAnswer: -331132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 87178038329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -131*c**2 + c - 3 - c**4 - 5*c**3 + 140*c**2 - c + 9 - 2*c as n*c**3 + f*c + w*c**2 + o*c**4 + v and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(12)\/sqrt(3) - sqrt(4))*5)\/(sqrt(160)\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2213333 - -13020301?\nAnswer: 10200302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/5)\/(68\/170*11\/(-6))?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -2*t**3 - 2*t**2 + 8*t + 7. Is a(-3) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16143, -32164, -48185, -64206?\nAnswer: -80227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19105126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of k**8\/112 + k**4\/24 - 3*k**2\/2 - 3. Let u(c) be the second derivative of v(c). What is the second derivative of u(x) wrt x?\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the second derivative of 11*x**6\/30 - 5*x**4\/6 - 236*x**2 + 778*x. What is the derivative of k(z) wrt z?\nAnswer: 44*z**3 - 20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -96796.\nAnswer: -3\/96796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 592 - 12*g - 291 - 301.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -556?  (a) -12  (b) 7  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 1, -1233, -16.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 56*b**3 - 53*b**3 + 131*b**3 + (-b + b**2 + b)*(37 - 37 - 6*b).\nAnswer: 128*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**3 - 3*a + 2. Let y be x(2). Does 8 divide y\/(-3)*(-13 + 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 33*f**2 + 45*f + 1. Is b(-8) a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/3*4\/6. Let m = 485068.9 - 485069. What is the nearest to 2 in 4, 5, n, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 897?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 36, 44, 60, 90, 140, 216, 324?\n\"Answer: v**3 - 2*v**2 + 7*v + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-186576)\/308)\/2 + (-78)\/143. Let k = u - -303. What is the second smallest value in k, -0.4, 10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:20 AM and 8:57 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:52 AM and 2:34 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56890 is divided by 1800.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hxxx when four letters picked without replacement from xhhxhxx.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1202 - -1205 - (67 - 1).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h + 73 + 2*h**2 + 2*h.\nAnswer: 2*h**2 + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 + 10*p**2 + 5*p + 41. Let u be x(-10). Let c be (u + 7)\/((-5)\/(-2)). What is the second smallest value in 3\/4, c, -0.4, 4\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -116, 114, 782, 2104, 4296?\nAnswer: 7574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 65045825?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 2*n**4 - 1592*n**3 - 17694*n**2 - 48420*n = 0.\nAnswer: -6, -5, 0, 807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 20\/225*((-8)\/6)\/4*2370\/5372\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 77, -6, -2, -4, 67 in decreasing order.\nAnswer: 77, 67, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4730101 divided by 1?\nAnswer: 4730101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 6*l**2 + 2*l - 2. Let y(s) = -13*s**2 - 2*s + 5. Let w(k) = 5*u(k) + 3*y(k). Let m(r) = 8*r**2 - 3*r - 4. Determine 6*m(z) + 5*w(z).\nAnswer: 3*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.07 - -0.1. Let d = 0.97 + z. Which is the nearest to d?  (a) 0  (b) 4  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**2 + 4*v + 1. Let t be y(2). Solve 4*q = t*b + 13, -3*q + 0 = b + 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4936, -4954, -4972, -4990, -5008, -5026?\nAnswer: -5044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -30 + 8 + 6 + -3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5351593227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**2 + 22*u - 128. Let c be g(17). Let f be c\/(-4)*(-5 + 16 + -3). Calculate the greatest common divisor of 1548 and f.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11830 and 10985.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -388 - -388.2. Sort 2, m, -5 in increasing order.\nAnswer: -5, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -22213 + 21317. Which is smaller: c or -4\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-56)\/(-24)*-1*4\/(-42)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 1  (c) -3\/5  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - -77 - (-1611 + 1705).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1287.9 - -1288. What is the closest to -17\/6 in c, -2\/11, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -20*d**2 - 22*d - 4703 wrt d.\nAnswer: -40*d - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**2 - 599*q + 1524470.\nAnswer: -(q - 971)*(q + 1570)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3843136 by -6592.\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 0*s = 4*s + 68, 5*s = 2*c - 36. Let k be 3 - (4 - (8 - -189)). Calculate the greatest common factor of k and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 AM and 12:53 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 23613408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 312926 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 79435 (base 10) to base 16.\nAnswer: 1364b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -11.7  (b) 0.13  (c) 4  (d) -4  (e) -1\/2  (f) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28 - 13*n - 12*n + 43*n - 9*n - 15*n.\nAnswer: -6*n - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) -16  (c) -83  (d) -0.1  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -147*a**3 - 10024*a**2 - 5716*a\/3 - 272\/3 = 0.\nAnswer: -68, -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9607 + 9588. Let u = -9 + 4. What is the smallest value in 1\/10, j, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f**4\/2 + 1950*f**3 - 599133*f**2 - 22911450*f + 148148037\/2 = 0 for f.\nAnswer: -37, 3, 667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-28)\/5 - (-17)\/(272\/80). Which is the nearest to v?  (a) 5\/8  (b) -1\/2  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 778.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvyvvyvyvyvvyvvyvvv. What is prob of sequence yv?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2\/2 - 10199*j\/2 + 15303.\nAnswer: -(j - 3)*(j + 10202)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -2 + 0 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -3*u**3 + 5*u**2 - 8*u + 2. Let m(q) = 7*q**3 - 9*q**2 + 15*q - 5. Let i(a) = 4*m(a) + 10*r(a). What is p in i(p) = 0?\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -65 + 31 + 2*p**4 - 4*p + 32 as w*p + j*p**3 + l + n*p**4 + v*p**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 95.2 - 11808191458.\nAnswer: -11808191362.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 190381 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -196 (base 11) to base 10.\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 29277 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**2 + w**2 - w**2. Let a(l) be the second derivative of 0*l**3 - 6*l + 1\/4*l**4 + 0*l**2 + 0. What is a(o(t))?\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -0.01, -0.5, 1\/10, 2, -1\/61?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -250 divided by 50.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 109 a factor of 669543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -y - 3, 4*a - y - 5 - 13 = 0. Let p(z) = 4*z - 22. Let g be p(a). What are the prime factors of (-2 - (3 + g)) + 41?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c**3\/4 + 551*c**2\/4 + 19293*c\/2 - 30186 = 0 for c.\nAnswer: -468, -86, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000600233 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - (17 + -3)) + (18 - (-17 - -56))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 178*m**3 - 5*m**2 + 5. Let h(k) = 177*k**3 - 4*k**2 + 4. Let x(s) = -5*h(s) + 4*z(s). Let c be (5 + (1 - 5))*(-9)\/9. List the prime factors of x(c).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 2*p**2 + p - 4. Let g be b(-2). Is g >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ej when two letters picked without replacement from {c: 2, j: 7, e: 1, w: 2}?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c - 5*v + v, 5*c + v = 0. Let r be (9 - 1)*1 + c. List the prime factors of r\/(-6)*(-27)\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -649324, -1080, -5 in decreasing order.\nAnswer: -5, -1080, -649324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 441 + -442. Suppose -20 = -21*z + 16*z. What is the fourth biggest value in z, 1\/4, 0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*u - 5 = 3*z - u, z + 3*u - 5 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2445 is divided by 511.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n - 2*n + n)*(2*n - 5 + 2 - n).\nAnswer: -n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -35*h**3 - 21*h**2 + 5*h + 15. Let b(k) = 37*k**3 + 22*k**2 - 4*k - 12. Give 5*b(u) + 4*i(u).\nAnswer: 45*u**3 + 26*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -6, 22, 4 in decreasing order.\nAnswer: 22, 5, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:59 PM and 11:58 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.1 - 3. Let w be ((-5)\/15)\/(4 + -3). Which is the closest to u?  (a) -0.1  (b) -2  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 22 = -z. Let b = z + -17. Suppose 0 = -b*n + 8*n + 4. Solve v = n*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -8*c - 65. Let p = c - -19. Let s be 4 + (2 - p) + 3. Let n(z) = -z**3 + 3*z**2 - z - 1. Calculate n(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -5*p - 2*k + 1, 0 = 4*p + 4*k. Let o(i) = i**3 + 4*i**2 + 2*i - 4. Determine o(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.484047km to meters.\nAnswer: 484.047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - t - 12 = 0, -t + 2*t = 2*m - 6. Suppose -5*h = 4*k - 25, 5*h - 5*k + 5 = -m*k. What is the remainder when 2 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 3*s = -40635, 2*z - 3*s = -6*s - 27085. Is ((-2)\/(-4))\/(81260\/z - -6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:40 AM and 11:44 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11 - (32 - 32)) + 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11722 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - -6. Let c(h) = y*h - 6*h + 3*h. Let g(m) = 3*m. What is c(g(j))?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 3*s**2 + 12*s - 19. Let d(y) = y**2 - 5. Let a(p) = 2*d(p) - o(p). Determine a(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o - 17*q - 29 = -19*q, -2*o - 2*q = 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 + 0 + 4)*(2*f + 0*f + 0*f) + (3 + 0 - 2)*(-2*f + 4*f - 4*f) - 2449*f - 2582*f + 155*f to x + b*f and give b.\nAnswer: -4880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.17 - -0.17. Sort -9, y, 4 in decreasing order.\nAnswer: 4, y, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -26579*a - 26584. What is r(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -55 + -13?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -573\/5 - -114. Let l be (16 - 75\/6)*((-88)\/(-56) + -2). What is the nearest to 2 in l, 5\/7, -1\/4, w?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pw when two letters picked without replacement from pddxpwpwdwwopwwdwxww?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/((s\/((s*s**2\/s*s)\/s))\/s)*s)**(-11) assuming s is positive.\nAnswer: s**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 15\/4, 7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - m - 660 = 0, 3*m = n + 124 - 8. Let s = -127 - n. Solve s*x - 6 = 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**2 + 40970804*z - 204854070.\nAnswer: 2*(z - 5)*(z + 20485407)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/6651 and 70\/50991.\nAnswer: 152973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes before 7:35 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -f**2 + f**2 + 2*f**2 + (3*f + 0*f - f)*(0*f - 20*f - 24*f) as r*f**2 + u + w*f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m - 2. Let w(n) = 10*n + 16. Let y(z) = -8*p(z) - w(z). Let o(a) = 4*a**2 - 5*a. What is y(o(s))?\nAnswer: -8*s**2 + 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = -2*r - 9*d + 4*d, 0 = -2*r + 3*d. Let x be r\/9*(-15)\/5. Which is greater: x or -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**2 + n - 1. Let j be m(1). Suppose 0 = 105*g - 99*g - 12. Solve -j = g*f + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -7 - -34?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 295416811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -565 + 636. Let h be (16\/(-3))\/(4\/(-18)). Suppose 0 = 3*j - 2*j - h. Calculate the remainder when r is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13782, -110430, -372772, -883656, -1725930, -2982442, -4736040?\nAnswer: -7069572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + 106 = 76. Suppose -k*t - 198 = -16*t. What is the highest common divisor of t and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -993, -2549, -5149, -8799, -13505, -19273?\nAnswer: -26109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/((-12)\/53810) + (-28)\/42. Let q = 2089780\/233 + i. Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12 - 6) + -12 + (3 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the third derivative of x**6\/120 + 7*x**5\/60 + x**4\/6 - 7*x**3\/6 + 2*x**2. Suppose 0 = 4*o + 19 + 5. Let s be n(o). Sort 4, 0.1, s.\nAnswer: 0.1, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1341987+-0.208\nAnswer: -0.0738013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + -4 + (8 - 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 245*q**3 + 560*q**2 + 145*q + 10.\nAnswer: 5*(q + 2)*(7*q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5935074, 11870157, 17805240, 23740323, 29675406?\nAnswer: 35610489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1253754\/5 or 250752?\nAnswer: 250752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2 + 7*o. Let f(x) = -x. Let z(j) = -a(j) - 6*f(j). Let h(w) = 4*w - 2. Let l(s) = 2*h(s) + 2*z(s). Factor l(q).\nAnswer: -2*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 5*m**2 - 3*m - 1. Let a = -24 + -60. Let y be a\/(-60) + (16\/10 - 2). Let o(t) = -t**2. Determine y*j(v) + 4*o(v).\nAnswer: v**2 - 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1375 - 351. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, c: 2, o: 3, h: 3, k: 3, d: 1}. Give prob of sequence kak.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*t - 15*t - 76 = 14 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -6 + 20. Let l(k) be the third derivative of 36*k**2 - 1\/6*k**3 - 1\/60*k**5 + 0 + 0*k - 1\/3*k**4. Determine l(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = n - 18*p + 16*p, -4*n - 5*p = 8. Suppose -n*i + 165 = -4*u, -5*i - 2*u + 243 = 2*u. Which is bigger: 50 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 961 + -958. Find the second derivative of -2*l**u + 19*l**2 + 85*l**2 + 44 - 5*l + 2*l - 7*l**2 + 33*l**2 wrt l.\nAnswer: -12*l + 260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 2*d**2 - 5*d + 4. What is the tens digit of a(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 5*o**2 - 7*o - 16. Let c be n(-2). Suppose -6*b + 18 + c = 0. Calculate the greatest common factor of b and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = v + 2. Let i be 9\/200 + 12\/150. Let j be 3*(4\/(-6))\/2. Which is the nearest to j?  (a) v  (b) i  (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1045 + -235143351?\nAnswer: -235144440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 27 + 92 = 5*f, -2*f = -4*i - 170. Calculate the common denominator of 329\/i + (-12)\/(-20) and -4\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -43*n - 180. Calculate a(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-44)\/66 - (-1267)\/(-3). Let m = r + 764. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2, -14, -3, 1 in descending order.\nAnswer: 2, 1, 0, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 22, 5, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -97*g**2 + 2*g**4 + 3*g - 18*g**3 + 23*g**3 + 107*g**2 + 33*g**3 in the form k*g**4 + z + t*g + v*g**2 + o*g**3 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -599380*j**2 + 412101*j.\nAnswer: -1198760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(27) - (sqrt(27) + 4*sqrt(27)*2))*2)\/(sqrt(81)*2*2*-1))**2.\nAnswer: 400\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 961 + -498. Calculate the remainder when y is divided by 64.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 4*c + 4. Let u be n(-5). Let o(s) = -s**3 - 6*s**2 - 4*s - 7. Let b be o(-5). Let w = u - b. Sort 2, w, 3.\nAnswer: w, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 159918686?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/14 in 4\/9, -1.4544, 2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 1\/15, 2, 19 in descending order.\nAnswer: 19, 2, 0.1, 1\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 298 is divided by 157.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5 + 1)\/((-7)\/140). Calculate the greatest common factor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -7*n**2 + 2. Suppose -y + 3*f = 3*y + 8, 5*f = 5*y + 10. Suppose 0 = -6*x + 3 - 9. Let q(j) = j**2 - 1. Determine x*z(a) + y*q(a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*b - 18*b + 8*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 - 7. Suppose 3*v + 20 = 2*d, -4*d + 2*d + 12 = -v. Suppose -d*o - o + 94 = 3*b, -5*o = -5*b - 110. What is the remainder when o is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3*o - 1 + 2*o)*(23*o - 275 + 275)*(0*o - 2*o - o).\nAnswer: 69*o**3 - 276*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 + 8*g - 20. What is the smallest common multiple of 20 and q(-12)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/11*16\/(-6 + 14). What is the nearest to 15 in x, 13, 0.5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(4\/5)*t*t**(-3))\/((t*t**(-7))\/t**(2\/11)))**(-1\/33) assuming t is positive.\nAnswer: t**(-329\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 581515 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.010975 rounded to four dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*s**2 - 24*s + 18*s + 6*s.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-40 + (-13 - -55))*90\/(-4)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**2 - 8*h + 5. Calculate u(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10 - (1 - (-16 + 7 + 3))) + 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -139  (b) 5  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c**3 + 17 - 17)*(0*c + c - 8*c) - 22*c**4 - 25*c**4 + 45*c**4 + (1 - 1 - c**4)*(-3 - 2 + 4) + 3*c**4 + c**4 - 2*c**4 + c + 2*c**4 - c.\nAnswer: -11*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 4.806274 tonnes?\nAnswer: 4806274000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5825675*t**3 + 47855955*t wrt t.\nAnswer: -34954050*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -30ac3 + 0?\nAnswer: -30ac3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 118306 is divided by 5594.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 t, and 2 p when four letters picked without replacement from {p: 2, t: 4, x: 2, g: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 - 3)*(5*s - s - 2*s) + (-5*s + 7*s + 3*s)*(-1 + 3 + 1).\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 120246542 to the power of 1\/2, to the nearest integer?\nAnswer: 10966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1927\/9685 + -2\/1937. Put 0.5, r, 36 in increasing order.\nAnswer: r, 0.5, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.07 + 0.13. Which is the third biggest value?  (a) 0.1  (b) -3  (c) -0.4  (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 656376.51 rounded to the nearest one thousand?\nAnswer: 656000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -4*h + 25, m = -h - 3*h + 45. What is the derivative of 6*y - 19*y + 1 - 15 + h wrt y?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes after 10:00 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 3*a + 10747 = 0, -2*a - 10752 = -2*s - 0*a. Is s 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 5226?\nAnswer: 2, 3, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 12296171159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 504*d + 3464 = -4096 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4824023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from plbhbllpllhbllhbl. What is prob of sequence llhh?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/3*3\/(-2)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ugtmgmmrmgt. What is prob of sequence ru?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 187742842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -20.51722*1.9\nAnswer: -38.982718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together 14940.7 and -0.018738.\nAnswer: 14940.681262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 361225476?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2 times 38570986\nAnswer: -77141972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(49) + (-2*sqrt(49) - sqrt(49)))\/sqrt(7) + (sqrt(7) + -1 + 2 - sqrt(7)))**2.\nAnswer: -4*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 176 + -183. Let p be -1 + 4 + (-13 - -3). Let u(o) = -o - 1. Let q(j) = -3*j - 4. Let g(r) = p*u(r) + 2*q(r). Give g(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 433123772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 827, 750, 673, 596, 519, 442?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tlllgsu. What is prob of picking 2 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1 + 1938\/12)*2.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**3 + 340*b**2 + 2362*b - 20. Determine x(-7).\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*o = -47*o - 20 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, -4876, -2, -4.\nAnswer: -4876, -16, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, -2 in increasing order.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccdoccuccjcc. Give prob of picking 1 c and 1 d.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 11 = 4*o - 47, 4*m = 4*o - 44. What is the remainder when o is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/20)\/(2\/(-50))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1505401 (base 6) in base 11?\nAnswer: 5a204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 17*h**3 - 2*h**2 - 2*h - 1. Let v be f(-1). List the prime factors of (3 + -11)*v\/4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 319839415?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -881*i - 32*i**2 + 881*i.\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 1 = -11. Let f(c) = 14*c + 257. Let w be f(-18). Suppose 2*g + 2*g + p = 28, w*g = -p + 34. Which is greater: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - 55685.\nAnswer: -55687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 56*u + 1217. Calculate n(-7).\nAnswer: 825","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the third derivative of -l**7\/700 + l**6\/1200 + 3*l**5\/200 - 3*l**4\/80 + l**3\/30 - 15*l**2 + l. Let q(h) = 0. Calculate h.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (67 - ((10 - 12) + -3 - -6)) + -11\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 - 3)*(-3 + 4*u + 3).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.05 and -0.047.\nAnswer: -0.00235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14*u**2 + 4*u + 4*u**2 + 0*u - 6 + 12*u**2.\nAnswer: 2*(u - 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that 9*g**4\/5 - 474*g**3 + 3133*g**2\/5 + 576*g + 524\/5 = 0.\nAnswer: -1\/3, 2, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide (1 - 0)\/((-7)\/(-70))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -3*h**3 - 48*h**2 - 863*h - 46. Let j be y(-15). What is the greatest common factor of 191 and j?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/17 in 0.1, -1\/3, 4, 86773?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -72*x - 12531. Calculate a(-171).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1957440, 1957443, 1957434, 1957407, 1957356, 1957275, 1957158, 1956999?\n\"Answer: -s**3 + 10*s + 1957431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the third derivative of 7 + 0*w**4 + 1\/60*w**5 + 0*w + 0*w**3 + 3*w**2. Let j(p) = 3*p + 17. Calculate j(a(r)).\nAnswer: 3*r**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**3 + 5*x**2 + 3*x + 2. Let p be y(-4). Let k(h) = h**2 - 144*h - 733. Let q be k(-5). Which is bigger: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 10 = v, -3*c - c = -v - 14. Suppose l - 6 = -k, v*k = -l + 2*l + 9. Solve 4*q = -y + 13 - l, 0 = 4*y + q + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 1469*r - 151137. Determine q(103).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 6 = -1. Let r = 1.795 - 1.595. Which is the third smallest value?  (a) 36  (b) w  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - l - l - 15 = 0, -3*b + l = -10. What is b rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**4 + 1258*i**3 + 2510*i**2 + 1254*i.\nAnswer: 2*i*(i + 1)**2*(i + 627)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -6\/11, 2\/19, 16?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4.999968 - -5. Round w to 6 decimal places.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.29012 to 3 dps.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-5*(sqrt(245)\/sqrt(5) + sqrt(49))*-5)\/(sqrt(112) - (2*sqrt(112)*2 - sqrt(112) - sqrt(112))).\nAnswer: -25*sqrt(7)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-7)\/(245\/(-35224)) - (-2)\/(-5). Factor -c*w**2 + 6 + 2 - 9*w + 2*w**3 - 5*w + 1010*w**2.\nAnswer: 2*(w - 1)**2*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1242.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 33688285 and 290.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(((-9)\/24)\/(-35 + -1)*-3)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*i - 4*i**2 - 5*i)*((-6 + 1 + 2)*(-2*i + 4*i - i) + 3 - 3 + i - 3*i + 19*i - 4*i).\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 3, 2, 23 in decreasing order.\nAnswer: 23, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrrkkrkfknr. Give prob of sequence rkkr.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.949626l to millilitres.\nAnswer: 1949.626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 (base 10) in base 13?\nAnswer: 1c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + 5 + 12 - 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 730852719 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 the hundred thousands digit of 350531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(136)*-3 - sqrt(136))\/(-3*sqrt(72)).\nAnswer: 4*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1537, -1392, -1141, -778, -297, 308, 1043, 1914?\n\"Answer: d**3 + 47*d**2 - 3*d - 1582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -4*x**2 + x. Let w be h(-1). Let a = -3 - w. Is 2 not equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.24 - 0.24. Which is the closest to l?  (a) 0  (b) -6\/7  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 3 = -5. Let s(v) be the second derivative of 0 + 0*v**2 - 1\/6*v**4 + m*v - 1\/35*v**6 - 4\/35*v**5 - 2\/21*v**3. Factor s(x).\nAnswer: -2*x*(x + 1)**2*(3*x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -257917763*z - 23421081 wrt z?\nAnswer: -257917763","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3342731050 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -3*z**3 + 4*z**2 + 17*z - 3. Let i be w(5). Let u = 217 + i. What is the greatest common divisor of u and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*h**4 + 8*h**3 - 4*h**2 - 24*h + 18 = 0. Calculate h.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x**2 + 1416*x + 73024 = 0. What is x?\nAnswer: -652, -56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -316\/105 greater than -1\/138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3970*q + 4003*q - 24750. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -153531937130 and 0.4?\nAnswer: 153531937130.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:18 AM and 1:29 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 46 = -0*p - 4*u, u + 13 = 2*p. Solve -6 = s - p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -2*k + 3. Suppose 0 = -2*p + 2*y - 7*y + 19, 0 = 2*p + 2*y - 4. Let v be j(p). Is 8 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 181888.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + 0 + 0)*(3*z**2 - 3*z**2 + 2*z**3) - 9 - z**4 + 10 - 5*z**3 - 6*z**2 + 4*z**2.\nAnswer: -5*z**4 - 5*z**3 - 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 92.9999934 - 93. Round q to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1054\/37, -1, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -72 + 93. What is the smallest common multiple of 6 and c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 - 3. Let i = -3.6 - -0.6. Let z = i + f. Put 4, -1, z in descending order.\nAnswer: 4, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h**3 + 13275*h**2 + 43419075*h - 4245476375 = 0. What is h?\nAnswer: -6685, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 89819.892ms?\nAnswer: 0.02494997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 229423095*u**5 - 2*u**2 + 254639695?\nAnswer: 13765385700*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/133 and 43\/3479.\nAnswer: 66101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**3 - 9*x**3 + 0*x**3)*(34*x + 4*x**2 - 8 - 8 - 35*x).\nAnswer: -28*x**5 + 7*x**4 + 112*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*f**3 - 4*f**3 - 2*f**3 + (5*f - 3*f - 3*f)*(4*f + 0*f + 18*f)*(2*f - 4*f + f + (0*f - f - f)*(-7 + 2 + 3) + f + 2*f - 4*f).\nAnswer: -47*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3084 + -92497\/30. Let u = f - 1\/6. Is 0 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the second derivative of z**5\/20 + 2*z**4\/3 + 7*z**3\/6 + 5*z**2 - z. Let n be b(-7). Suppose 4*d - 2*d + n = 0. Let x(k) = 2*k + 5. Determine x(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 2:00 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10.2 - 11. Let a = 1.1 + z. Let l(t) = t**2 + 8*t + 15. Let y be l(-4). What is the nearest to y in 0, a, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 7 - 3)*(-6*k + 7 - 7).\nAnswer: -54*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4699 - -4696. Sort -1, j, 8, 20 in descending order.\nAnswer: 20, 8, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - q + 197 = 0, -2*r + 32 = -5*q - 39. Suppose 0 = z + 3*z - r. Calculate the remainder when z is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 8 = -v, 0*v - 2*l - 68 = -5*v. Let u be v\/4 + 30 - -1. What is the tens digit of u - (-1 - (-5 + 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mymmyy. Give prob of sequence mmmy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -7*w + 2. Let m(x) = -x - 1. Let o(f) = -g(f) - 5*m(f). Let a be o(1). Solve a = 2*n + n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 3\/(-6))\/9\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75.94643 centimeters to millimeters.\nAnswer: 759.4643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -30*d**2 + 2. Let s(r) = 498*r + 1. Give p(s(z)).\nAnswer: -7440120*z**2 - 29880*z - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g + 3*f + 2 = 0, -40*f = -5*g - 42*f + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 40 + 35 = 0. Suppose 0 = b + i + 32. Calculate the common denominator of -53\/3 and ((-2)\/11)\/((-2)\/b).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 310231 - 1433424?\nAnswer: -1123143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (278*o**3 + 55*o**3 + 180*o**3 + 0*o**3 - 2*o**3 + 4*o**3 + (-2 + 3 - 3)*(o**3 + 0*o**3 - 2*o**3))*(3*o - o**2 - 6*o + 0*o**2).\nAnswer: -517*o**5 - 1551*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3215139708?\nAnswer: 2, 3, 11, 2377, 10247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -6, -5, -2255 in ascending order.\nAnswer: -2255, -6, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (-18)\/(-14) + 6097\/(-9849).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 200621?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1177*j - 1826*j + 6490 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 170 - 139 - 14 + 65*q - 17. Let j(m) = -42*m**2. Determine g(j(o)).\nAnswer: -2730*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -56\/3 + 23. What is the second biggest value in o, -0.3, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 728 and 1848?\nAnswer: 24024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 21523524 (base 7) to base 9\nAnswer: 3436350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the second derivative of -13*y**3\/6 + y**2\/2 + 6*y. Does 13 divide z(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -110186924*c**2 + 233858639*c?\nAnswer: -220373848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -707 - -723. Suppose o*u - u - 30 = 0. Let r be ((-18)\/(-4))\/((-6)\/(-8)). Solve m + r = -u*l, 0*m - m = 3*l + 11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 7}. What is prob of picking 3 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i**5\/2 - 39*i**4\/2 - 7*i**3 + 2112*i**2 + 3440*i - 14976 = 0. Calculate i.\nAnswer: -8, -4, 2, 13, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-8)\/12*(-2 + -16). Suppose -3*g + a = g. Solve -g*w - 12 = -2*q, 2*w - 5*q + 4 = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (33 + (12 - 9) - 3) + -15 + -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -160*h**4\/7 - 624*h**3\/7 - 794*h**2\/7 - 408*h\/7 - 72\/7 = 0. What is h?\nAnswer: -2, -3\/4, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1\/((-24)\/32))\/((-2)\/3). Let y be (7 - 30\/4)*v\/151. Is y at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 461 divide 1794673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 169026 and -3482?\nAnswer: 172508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 11 - (1 + (3 - 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 138.7517*-303.\nAnswer: -42041.7651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -26 + 46. Suppose -3*r + 32 - i = 0. Let h be r\/(-22) - (-16)\/22. Is h at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5127 and -205.\nAnswer: 1051035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the third derivative of -z**6\/120 - 3*z**5\/20 + 3*z**4\/8 - 3*z**3 + 279*z**2 - 3. Give r(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**2 - 6*d - 6. Let z be g(-4). Suppose -z*p - p = -12. Which is the second biggest value?  (a) -1\/5  (b) p  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 18*y + 110*y + 1704*y**2 - 10 - 232*y wrt y?\nAnswer: 3408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5 + (-32 + -4)\/6. Put -12, -5, -4, 9, a in descending order.\nAnswer: 9, a, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -28.064  (b) -1  (c) -3323\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*l = 19*l - 54. Suppose -l = -3*g, n = 4*n - 4*g - 4185. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*s + 6*s + 5*s - 5*s**2 + 8*s.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2, 40\/9, -41.4, -0.2, 0.4?\nAnswer: -41.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**3 - 4*t**2 - 3*t + 6. Let k(d) = -20*d + 104. Let b be k(5). Determine i(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ykyk when four letters picked without replacement from yfkyfyyfyyfkyffyy.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 3\/5, 1, -0.012?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 10*g - 9. Let q be d(4). Let v = q - 11. Suppose y - 57 = -v. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2165*w - 2138*w - 270 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:23 AM and 3:21 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**3 + 3 + 292*p - 5 + 4*p**3 - 4*p**2 - 296*p. Let o(z) = -10*z**3 + 7*z**2 + 7*z + 4. Give -7*a(q) - 4*o(q).\nAnswer: 5*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**5\/o)\/o**(-1)*(((o*((o**(-5)\/o)\/o)\/o)\/o)\/o)\/((o*o*o*o**2*o*o)\/o)*(o*o**7*o*o\/o**(-1\/8))\/(o*o*o**1)**41 assuming o is positive.\nAnswer: o**(-975\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 + 12. Suppose 7*p = 4*p - j + 5, -3*p + 4*j + 25 = 0. Suppose 0 = 3*h + 2*a - 30, -2*a + p = h - z. What is the greatest common factor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-3)\/(27\/9111))\/(3\/(-9)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven sixths of a week in minutes?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 11726037?\nAnswer: -2\/11726037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 18839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3715642 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001575088405 to six dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -5, 0.27, -4, -1\/237?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4916)\/838178)\/(2\/(-22)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, i: 6, q: 1, a: 2, p: 1}. What is prob of picking 1 p and 1 i?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**3 - 9*b**2 - 7*b + 10. Suppose -6 = 4*l + 26. Let h be a(l). Solve -2*y - h*n - 2 - 2 = 0, 2*n = -3*y - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((2*(sqrt(684) + ((sqrt(684) + sqrt(684) + sqrt(684)*-4 + sqrt(684))**2 - sqrt(684))) - (6*(sqrt(684) + sqrt(684) + 2))**2) + 2).\nAnswer: -291810 - 5184*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31744081842 - 5270.\nAnswer: -31744087112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n + 42 + 117. Let x = n - -54. Is (19\/(-38))\/(x + (-5535)\/5534) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*k = -7589 - 8395. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -437988*j**3 + 1596*j**2 + 7980. Let b(l) = -1373*l**3 + 5*l**2 + 25. Give 1596*b(z) - 5*f(z).\nAnswer: -1368*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -4*i**3 + 13*i**2 - 9*i - 25. Let y(z) = z**3 - 4*z**2 + 3*z + 8. Give -2*c(t) - 7*y(t).\nAnswer: t**3 + 2*t**2 - 3*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/(-4) + (-246)\/(-24). Let d be 1\/1 + (-1)\/(-1). What are the prime factors of (p + -3)*(3 - d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {k: 4, h: 3, r: 7, d: 4}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add together -116 and -0.44.\nAnswer: -116.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 23 - 19 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74*z**3 - 6*z**2 + 13*z**3 + 6*z**2.\nAnswer: -61*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000113 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 492 and 738.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -132331913*q**2 + 63902346*q wrt q.\nAnswer: -264663826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*t**3*u**2 + 629*t**3*u - 7*t**2*u - 7*t**2 - 428*t*u**2 + 4*t - 2283*u**2 - u - 3 wrt u.\nAnswer: 6*t**3 - 856*t - 4566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20\/5*3*1\/(-18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 10*a - 13. Let k = 123 + -129. Let f(c) = 8*c - 12. Let i(h) = k*f(h) + 5*d(h). Suppose 0 = -u - 4*l + 10, 2*u = -u - 5*l + 2. Calculate i(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 5*b**3 + 37*b**2 + 75*b + 45. Let w(r) = 5*r**3 + 38*r**2 + 75*r + 45. Let z(v) = 3*i(v) - 2*w(v). Factor z(k).\nAnswer: 5*(k + 1)*(k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 12395, 2, -33, 3 in increasing order.\nAnswer: -33, 2, 3, 4, 12395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -66 divided by 10612527?\nAnswer: -22\/3537509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9672 by -6.\nAnswer: 1612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -2259300 to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**3 + 8*s**2 - 4*s - 12. List the prime factors of t(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from dhwww?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:10 AM and 11:22 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003131802 rounded to six decimal places?\nAnswer: -0.000313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21\/40 + -2\/5. Suppose -13*m + 11*m = -54. Let j = -29 + m. Which is the closest to 0?  (a) j  (b) 0.2  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - (-19 + (5 - 7) - (-6 + -11)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 65148?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1032 + -21?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 52770 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**2 - 8*g - 10. Let q = 35 - 42. Let r be l(q). Sort 8, -1, r.\nAnswer: r, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 641587007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = -3*v - 5*j, v = 4*v - 2*j - 73. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13394095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, 1\/9, -682\/5 in decreasing order.\nAnswer: 1\/9, 0, -3, -682\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (10 + -2)*-1 + -1. Let k(v) = 5*v**3 + 9*v + 3*v**3 + 6 + 3*v**3 - 12*v**3 - 4*v**2. Let x be k(c). Round x to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**3 + 4*t**2 + t + 4. Suppose -3*j + 5*j = 8. Let u be i(j). What is the units digit of (-5)\/20 - (-42)\/u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*(20\/15)\/((-5)\/30)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2\/3, -7, 1, 3600, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 9 + 4*g**2 + 3 - 5*g - 6 - 2*g**2. Let o(l) = -l**2 + l - 1. Determine 4*o(z) + p(z).\nAnswer: -2*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t**3 + 555*t**2 - 2280*t + 2300 = 0. Calculate t.\nAnswer: -115, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 - 3 + 3)*(-15 - 5*d + 15) + 2*d - 3*d + 3*d.\nAnswer: 47*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 41 - 38. Which is the nearest to -0.04?  (a) j  (b) -0.3  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 16*p**3 - 12*p + 13. What is the remainder when o(1) is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2, 0, -12, -1317, -6, -2 in descending order.\nAnswer: 2, 0, -2, -4, -6, -12, -1317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t*t*t**(-1\/8)*t*t*t**(-1\/6))\/(t\/(t*(t**0*t)\/t)*t)**(-1\/5) assuming t is positive.\nAnswer: t**(589\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 271, 509, 757, 1021, 1307, 1621, 1969, 2357?\nAnswer: 2791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-16))**0 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - i - 28, -10 = -4*g + 2*i + 16. Let f(h) = h - 7. Calculate f(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4 - -2) + 2\/(-2). Suppose -5*w + 5 + p = 0. Solve w*j = 4*l - 2*j, -j = 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 2*a**3 - 155*a**2 + 219*a + 668. Determine h(76).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 7, b: 6}. What is prob of picking 3 b and 1 k?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3*(-3 - 3379\/3). Find the common denominator of -49\/9 and (u\/24)\/11 - -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 357 divide 64103634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00017257958 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 25 + -220507?\nAnswer: -220472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2051*w + 2394*w - 110974 + 110974 + 5723*w to t + f*w and give f.\nAnswer: 6066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -257.6 + 257.66. Let d be 5*(-3 + 22\/8). Put -5, d, c in ascending order.\nAnswer: -5, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000009596 rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -7*s**2 + 0 + 17*s**2 + 9*s**2 + 5. Let i(b) = 20*b**2 + 5. Let f(a) = 5*h(a) - 4*i(a). Differentiate f(p) with respect to p.\nAnswer: 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -10*i**3 - 110*i**2 - 131*i + 14. Let c(b) = -188*b**3 - 2090*b**2 - 2484*b + 264. Let q(s) = -3*c(s) + 58*m(s). Let q(l) = 0. Calculate l.\nAnswer: -5, -2, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 17 + 9?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (-3 - -6)\/(-3) - (-3315)\/1950?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(504) - sqrt(504))\/sqrt(7))**2*2*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2 - 1)\/(2\/(256\/684)). Let h = i + -113\/171. Calculate the common denominator of 95\/36 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 - (2 - 1 - 1). Suppose 454*h - 214*h + 2019 = -433*h. Which is the third smallest value?  (a) m  (b) h  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:59 PM and 11:01 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-64)\/(-48))\/(23\/(345\/(-84)))\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (a - 1 + 1)*(-165 + 36 - 187 - 174) to the form j*a + b and give j.\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4293595771 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(162)*-4*5)**2 + sqrt(162) + (4 + -1 + sqrt(162))**2 - (((sqrt(162) + -1)*-3 - (sqrt(162) - (sqrt(162) + 1 + (sqrt(162) - 2*sqrt(162)))**2)) + 4).\nAnswer: 99*sqrt(2) + 64963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes before 8:13 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**3 + 7*a**2 + 6*a - 4. Let k be j(-6). Let x(u) = 2*u**2 + 5*u + 3. Let c be x(k). Let l = -13 + c. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -22 - -17. Which is the second smallest value?  (a) s  (b) -0.4  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8158, -32611, -73374, -130453, -203854, -293583, -399646, -522049?\nAnswer: -660798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b and 2 d when four letters picked without replacement from rbrrddzbr.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -54 - 6665393?\nAnswer: -6665447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 14*y**2 + 30*y - 388. Let h be i(10). Let u = -112 - -194. Calculate the greatest common factor of u and h.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*u + 3*b, 3*b + 14 = -u + 21. Which is smaller: -2\/121 or u?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 96656 and 11319971?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/14244 and 87\/80.\nAnswer: 284880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1393 - 839 = -253*z - 5353 - 9023 for z.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2082 - 11*z**3 + 13*z**2 - 3422 + 1340.\nAnswer: -11*z**3 + 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aqeeeeaaeelre. What is prob of picking 1 l, 1 r, 1 e, and 1 a?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 33997168 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 2*i = 4562, i = 5*y - 62 - 4497. What is the highest common divisor of 57 and y?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(176)\/(sqrt(48)\/sqrt(48)))\/(1*sqrt(196)*2))**2.\nAnswer: 158\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 127*m**3 - 720*m**2.\nAnswer: 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes before 1:03 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -57.76 rounded to zero decimal places?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 - 73*v**2 + 142*v - 2. Let i be l(2). Let x be -6*((-2)\/(-3) - 140\/120). Put 4, x, 96, i in ascending order.\nAnswer: i, x, 4, 96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -12*y**3 - 4*y**2 + 13*y + 11. Let a(z) = -11*z**3 - 3*z**2 + 11*z + 10. Give -7*a(o) + 6*j(o).\nAnswer: 5*o**3 - 3*o**2 + o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve z = -3*o - 4, -7 = o + 3*z - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - (-21*(-4422)\/14553)\/(36\/(-63))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/3 + -1)*-18. Let b = 9 - 22. Let a(p) = -11*p**2 + 29*p + 45. Let u(d) = -5*d**2 + 14*d + 22. Let w(o) = b*u(o) + i*a(o). Factor w(x).\nAnswer: -(x + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + 20. Suppose -z*i + 5*l - 13 = 0, -i + 2*l = -0*i + 7. Suppose 31 = 6*x - x - 4*a, -2*x - i*a = -17. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -15, -h + 6*w - 7*w + 127 = 0. What is the remainder when h is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*s + 76*s + 4 = 4*y, -3*y - 4*s + 1 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1159\/53130 - -4\/161. Let g(b) be the third derivative of 1\/66*b**4 - d*b**5 + 0*b - b**2 - 1\/33*b**3 + 0. Let g(v) = 0. What is v?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 333*a**3*t**2 + a**3*w + 2568*a**3 - 234*a**2*w**2 + 43344*a*t**2*w**2 + 3 wrt t.\nAnswer: 666*a**3*t + 86688*a*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 23, 439 in descending order.\nAnswer: 439, 23, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -11744*r**2 + 12963.\nAnswer: -23488*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(750) + sqrt(750)*2 - sqrt(750)) + sqrt(750) - sqrt(750) - sqrt(30)) + 1*sqrt(2430))\/(sqrt(96)*1*2).\nAnswer: 9*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -9955, -9954, -9953, -9952, -9951, -9950?\n\"Answer: r - 9956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -15028 divided by -3757?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -222*k - 23654 = -208958 - 32256. What is the greatest common divisor of 60 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 453 and 112141509.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the first derivative of -131*x + 27 + 68*x + 62*x + x**2. Calculate s(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7290 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1634398.\nAnswer: 2, 67, 12197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -47, -126, -193, -242, -267, -262?\n\"Answer: t**3 - 86*t + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s + 138 = -18*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(3 + (((sqrt(26)\/sqrt(2))**2 + 2)*-4*4 - ((sqrt(104) - (sqrt(104) + sqrt(104)*1))*-3)\/(sqrt(24)\/(sqrt(6)\/sqrt(2))))).\nAnswer: 15*sqrt(13) + 1185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j + 8. Let a be m(6). Suppose a*i - 39 = -4*h - 15, -3*h + 28 = 4*i. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -57*y**2 + 18*y - 36. Suppose 16*l = 2*l - 14. Let x(h) = -3*h**2 + h - 2. Let t(n) = l*u(n) + 18*x(n). Let k(g) = 3*g**2 - g. Give t(k(s)).\nAnswer: 27*s**4 - 18*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4658188 and 1412.\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3 + (-88)\/28)\/(50\/(-140)). Suppose -3*m + 2*m - 2*s - 4 = 0, -20 = 3*m + 2*s. Which is the third biggest value?  (a) m  (b) -2  (c) 4\/3  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14, 29, 54, 95, 158, 249?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/2  (b) -4  (c) -64  (d) -1\/4  (e) 5  (f) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*w - 0*w, 4*v - 5*w = 13. Suppose -6 = -v*j - 0. Solve 5*k = 3*n - 17, -n - j = -4*k - 18 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 222*x - 8495 - 3493 for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 3*w**3 - 6*w**2 + 3. Let k be l(4). Let r = 28 + -8. Let x be 22\/10*r\/4. What is the highest common factor of x and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -52, -113, -184, -265, -356, -457?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -12440 - 21?\nAnswer: -12461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/40)\/((-44)\/(-792))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2\/4 - 14931804*r - 222958770694416.\nAnswer: -(r + 29863608)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 1102*a + 1098*a - 2203*a. Let z(i) = i**2 - 3*i**2 - i**2. Calculate o(z(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of 0 + 63*t + 6*t**2 + 5\/6*t**4 + 1\/20*t**5 - 23\/6*t**3. Solve v(h) = 0.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 2 - 3 + 0 + 2 + (3 - 1 - 4)*(-1 - 2 + 1) - 3 + 1 + 4 - 1 + 0 + 3 - 4 + 4 - 1 - 3 + 2 + 3 + 0 - 1 + 0)*(-120*z + 1209 - 1209).\nAnswer: -960*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-7)\/(-21) + (2 - 2))*18. What is the greatest common divisor of 66 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:59 PM and 9:52 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (2 - -45) + 6\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*d + 24*d - 3298 = 171*d for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 57\/(-266)*44\/33. Let u be (0 + -1)*8\/(-2). Which is the second biggest value?  (a) 5  (b) i  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 323234 is divided by 7854.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 3, o: 11}. What is prob of picking 1 c and 1 o?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -67*i*r**4 - 6*i*r - i - 100*r**4 + 22792 wrt r?\nAnswer: -268*i*r**3 - 6*i - 400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -123\/10 and 283\/(-180) + 2\/9?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6a4 (base 16) in base 8?\nAnswer: -3244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*h, 54 = 4*o + o + 2*h. What is the remainder when ((-103)\/(-5))\/(2\/o) is divided by (-4 + 2\/(-4))*-6?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37\/((-1110)\/320)*((-6)\/(-4))\/((-44)\/198).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 972 is divided by 166.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(2\/39)*m*m)\/m**16*m**(-5)*m**(-16) assuming m is positive.\nAnswer: m**(-1363\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/((((-4)\/(-202))\/(36\/54))\/1). Let d(p) = -16*p + 2. Let j be d(-6). Let f = g - j. What is the least common multiple of 8 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.1 + 0.9. Let q = -2 - -3. Let n be (6 - (-50)\/(-6))*52\/91. Which is the closest to q?  (a) r  (b) n  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33e6 (base 16) to base 9.\nAnswer: 20202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h - 3168 = -5*a, a - 518 = -2*h + 118. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3954 + 0.4?\nAnswer: 3954.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 4, 1\/5, 3\/4, -20096?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the second derivative of w**9\/10584 - w**8\/5880 - 17*w**3\/6 - 29*w. Let t(o) be the second derivative of d(o). Factor t(n).\nAnswer: 2*n**4*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*w**3 + 2*w**3 + w**5 - w**4 - w**5 + w**4 + 3*w**5 - w**5 - w**5 + (-2*w**5 - 4*w**5 + 3*w**5)*(-6 - 1 + 2).\nAnswer: 16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -345*d**3 + 2*d**2 + 932*d - 3623606?\nAnswer: -1035*d**2 + 4*d + 932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 9 + 4 + 0*p + p. Let l(n) = 3*n**2 + 6*n + 3. Let d be l(-3). Let k be i(d). Solve 0 = 5*t - 0*f + 5*f + k, -25 = 5*f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-580 - 472 + 1514)*(-4*j + 0*j + 3*j).\nAnswer: -462*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(475)*-2*1)*4*-5.\nAnswer: -20 + 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 25219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -40658, -40645, -40620, -40577, -40510?\nAnswer: -40413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -13*z**2 + 19*z + 4. Let h(m) = -11*m**2 + 18*m + 3. Let r(l) = -6*h(l) + 5*j(l). Calculate r(14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z\/((z*z*z**(-26\/3))\/z))\/z)**(-45) assuming z is positive.\nAnswer: z**(-390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 298, 297, 294, 289?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -27 + 29. Let b be f\/8 + 164\/(-16). Let h = b - -49. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, 2, -1\/10, -2\/15 in decreasing order.\nAnswer: 2, -1\/10, -2\/15, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 5) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tpofpttttpz. What is prob of sequence pft?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**1)**38*u**(-2\/9)\/(u\/(((u*u**(1\/4)*u)\/u)\/u*u)) assuming u is positive.\nAnswer: u**(1369\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 2*d**3 - 3*d**2 + 7*d + 6. Let x(g) = -2*g**2 + 11*g - 79. Let i(o) = o**2 - 5*o + 35. Let c(k) = 9*i(k) + 4*x(k). What is 6*c(j) + h(j)?\nAnswer: 2*j**3 + 3*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l + 5*d + 17, -l - 4*d = -d + 15. Let c be (10\/l)\/((-7)\/(-21)). Let q(u) = u**2 - 8*u + 11. Is q(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2322, 2317, 2310, 2301, 2290, 2277?\nAnswer: 2262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the second derivative of 1955*u**3\/6 + 2248*u. Let f(m) = 2*m. What is n(f(a))?\nAnswer: 3910*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (177\/(-472))\/((-3)\/80)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (4 - 1 - 3) - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -633\/4 + 791\/4. Calculate the common denominator of z and -8 + (3 - (-1417)\/156).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, 0.4, 201 in decreasing order.\nAnswer: 201, 2, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) 40  (c) 0.2  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/(-17) - ((-3809)\/221 + 17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 PM and 6:01 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -18 + -598?\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 4\/15 of a hour?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 123132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (j**3 + 1 - 1)*(-1 + 1 - 2*j + (-5 + 2 + 1)*(-4 + j + 4) + 3*j + 32 - 32) to the form m*j**4 + z*j**2 + x + g*j**3 + q*j and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 - 3*c + 3. Let u(g) = 2*g**3 - 7*g + 7. Suppose -3*p - 3*n = 15, -7*p + 2*p = -n + 37. What is p*b(j) + 3*u(j)?\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**2 + 17. Let x be n(-7). Let w = -26 - x. What is the least common multiple of 13 and w?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 643206217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 5, 4, -11, -5.\nAnswer: -11, -5, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1544 - 3755 = -7*u. What are the prime factors of u?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 - 5 - 4 + 0 + 5 + (3 - 4 - 1)*(-1 + 2 + 0) + 3 + 0 - 5)*(-2*r**4 - r + r).\nAnswer: 14*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11041739?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53707008?\nAnswer: 2, 3, 69931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1830952, 3661908, 5492864?\n\"Answer: 1830956*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 116*x**2 - 219*x - 21. Let v(h) = 58*h**2 - 110*h - 10. Let z(g) = -2*n(g) + 5*v(g). Factor z(s).\nAnswer: 2*(s - 2)*(29*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3200 (base 8) in base 12?\nAnswer: b68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d - 0*d + i - 1860000, 3720000 = -2*d + 4*i. Round d to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*s**4 + 3 - 4 + 201*s - 203*s + (4*s**3 - 4*s**3 + 2*s**3)*(4*s - 4*s - 2*s) to w + h*s**4 + y*s + a*s**3 + v*s**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + (-49)\/24)\/(357\/(-3060) + 142\/(-1065)).\nAnswer: 49\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 157523 or 630095\/4?\nAnswer: 157523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**3 + 2*b**2 + 3*b + 2. Determine k(-5).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1249 * -564573.\nAnswer: 705151677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - -16 - ((-17 - -5) + 7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d + d + 5*d + 4 - 4 + 2*d + (-5 + 5 - 1)*(1 - 2*d - 1))*(1 - 2 - 1)*(101*d**3 + 11641*d - 11641*d).\nAnswer: -1212*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b + 1 - 1)*(b - 5*b - b)*(-1 - 6 + 4 + (2 + 0 - 3)*(0 - 1 + 0)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -169*v**2 - 867*v - 1.\nAnswer: -338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the second derivative of l**5\/4 + l**4\/6 + l**3\/3 - 79*l + 1. Suppose -3*s - 21 = -54. Let o(d) = 25*d**3 + 11*d**2 + 11*d. Give s*v(n) - 2*o(n).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/(j*j**(-1\/8))*j**(-6)*(j**(2\/13)\/j)\/(j*j*j**(1\/2)*j*j) assuming j is positive.\nAnswer: j**(-1167\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o*o*o**(-13)))**(-1\/27)*o*o**25*o**(-11))**(-29) assuming o is positive.\nAnswer: o**(-3799\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 5*j + 4. List the prime factors of (14\/10)\/(j\/(-10)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 49387752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - y - 8 = -1, 4*y = -8. What is the nearest to m in -1\/3, 5, 7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1022*-0.16\nAnswer: -163.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 + 8*g - 2*g**2 - 2 - 2. Let f be j(6). What is the highest common divisor of f and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*t + 4*t - 5*t)*(-1988 + 1988 - 39*t)*(3 + 1 - 2) in the form d*t**2 + z*t + l and give d.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 3*f = 60, -b + f - 3*f = 15. Let x = 11 + b. Is (-590 - x)*(-2)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1904947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -2014 - 16*h**2 + 50*h**2 + 2014. Let u(n) = -6*n**2 + 5*n**2 - 2*n + 2*n. Determine u(g(m)).\nAnswer: -1156*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 32051?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/65 and -31\/15?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/b**7*b)\/(b\/(b\/(b\/b**(-1\/6))*b)))**12\/(b**(1\/2)\/(b\/b**(1\/4))*b**(1\/5)*b*b**(-5\/2)) assuming b is positive.\nAnswer: b**(-1209\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 888*i**2. Let n(p) = -p. Determine n(z(h)).\nAnswer: -888*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 444743.\nAnswer: 13, 34211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31547796?\nAnswer: 2, 3, 7, 375569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 91\/3 - 31. Let h = -2\/131 - -401\/524. What is the smallest value in h, i, -1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 - -17. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**4\/11 + 6*z**3\/11 - 18*z**2\/11 + 10*z\/11.\nAnswer: 2*z*(z - 1)**2*(z + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7538*o = -3770*o - 3770*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k + 5 = 5*s, -368*s + 366*s + 21 = -3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**2 + 12*m + 19. Let o be ((-9)\/(81\/24) + -1)*3. Let y be v(o). Which is bigger: 12\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*b - 14*b - a - 9 = 0, 4 = -4*a. Let c(o) = 3*o. What is c(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 - 1. Solve -5*g = -r*g - 2*u + 5, -3*u = 3*g - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 14) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + 1 + (-2 - -5) + -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 - (-18 - (-11 - -26))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 178 a factor of 28658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(1\/2*(-22)\/(-44)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -206 - -1645\/8. Let r be 251\/1542 - 3\/18. Let f = r - -533\/4883. Sort 1\/4, 3\/7, j, f in increasing order.\nAnswer: j, f, 1\/4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -56, -114, -172, -230?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -85 + 87. Suppose -41 = -4*d + 3*o, 2*d + c*o = -d + 18. Solve w = 13 - d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 496143299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 5 = 5*k - 17, 0 = -3*p - 4*k - 12. Suppose 5*l + 2 = 42. Let n(z) = 5 - 10 + 0 + l*z - z. Let x(u) = 6*u - 4. Calculate p*n(s) + 5*x(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.060071578 + 351442?\nAnswer: 351442.060071578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.2, -2\/13, 3\/7, 388\/7, -43.\nAnswer: -43, -2\/13, 3\/7, 1.2, 388\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 262*n**4\/3 + 4*n**3\/3 = 0?\nAnswer: -2\/131, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 24006 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/9 + 209\/(-33). Let q(b) be the third derivative of b**6\/120 + 7*b**5\/60 + 7*b**4\/24 + 3*b**3\/2 + 5*b**2. Determine q(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the first derivative of -14*f**3\/3 + 20*f + 966. Let i be (1 - -33)*(-2)\/4. Let h(b) = 5*b**2 - 7. Give i*h(k) - 6*q(k).\nAnswer: -k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 34*q - 32 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 - (-8)\/12)*6. Suppose q*x = -5*x + 36. Suppose x*i + 2*i = 0. Solve i = -3*u - 6 - 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1, -20, -65, -148, -281, -476, -745?\n\"Answer: -2*z**3 - z**2 - 2*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -5*y**3 + y - 3*y**2 - 3*y**3 + 12*y**2 - 3 + 7*y**3. What is a(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -25*g**3 - 3*g**5 + 9040*g**2 - 6953*g**2 - 362*g**3 wrt g.\nAnswer: -180*g**2 - 2322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5287 equal to -5284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4697*s - 4697*s - s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -2*s**3 - 5*s**2 - 3*s - 4. Let a be u(-4). Let b = a - 19. Calculate the remainder when b is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14462 * 32.\nAnswer: 462784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1010101121 (base 3) in base 5?\nAnswer: -1202111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3218179?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5495 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 next in -259882, -259881, -259880, -259879?\nAnswer: -259878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 170555 is divided by 21306.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 637*2.\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g - 21 = -u, -3*u + 293*g + 23 = 295*g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 95 divide 11696116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 61584, 61603, 61622, 61641?\nAnswer: 61660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 386760.7m in kilometers?\nAnswer: 386.7607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -4  (b) -3\/5  (c) 1\/2  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-24 - (-40 - 12) - 21 - 26) + 63\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lssnllsss. What is prob of sequence lsn?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u**4 - 678551*u**3 + 2035659*u**2 - 2035661*u + 678554 = 0 for u.\nAnswer: -678554, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2516 and 407?\nAnswer: 27676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the second derivative of 5*x**4\/4 + 4*x**3 + 24*x**2\/5 - 893*x. Let t(z) = 0. Calculate z.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5299073847 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9*-7*14\/1764.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) 4  (b) 1\/86  (c) -8716  (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**2. Let n = 404 - 352. Let y(s) = -76*s + 168*s + n*s. What is y(u(v))?\nAnswer: 144*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzbv when four letters picked without replacement from {v: 5, q: 1, z: 3, e: 3, b: 1}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8569\/(-3116) - 118\/(-40))\/(2\/(-12)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -3*y**2 + 22307. Let n(u) = -150*u - 2. What is n(t(c))?\nAnswer: 450*c**2 - 3346052","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 214, 0, -7, 1, -6.\nAnswer: -7, -6, 0, 1, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -405*r**5 - 3825*r**4 - 12575*r**3 - 15975*r**2 - 5400*r - 540 = 0.\nAnswer: -3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/(-5))\/(2\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-2))**(2\/11)\/((w*w\/((w*w**(1\/3))\/w)*w*w)\/((w\/(w\/(w\/w**3)))\/w)) assuming w is positive.\nAnswer: w**(-232\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g*g\/g**(-13)))\/g)**(-17)\/(g**(9\/5))**(-3\/23) assuming g is positive.\nAnswer: g**(29352\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 357356098 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25806 is divided by 1177?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12 - -170. Suppose s = n - 111. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 8  (b) 28  (c) -0.02  (d) -76  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5906 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -100*(21\/(-12) - -1). What is the tens digit of (-15)\/u - 492\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3, 5, 13, 21, 29, 37?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in thirteen quarters of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-186 + 103 - 143)*(0*z + 2*z - z) to the form y*z + l and give y.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llllqlllqllllql. What is prob of sequence qq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*z + 370 - 394. Suppose -z*y + 4*h + 18 = 3*h, -19 = -2*y + 3*h. Let s be (2\/(-4))\/(2\/(-4)). Solve -y*g - 6 = -s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 454.8724 centuries?\nAnswer: 45487.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from {w: 7, b: 1, y: 1}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -841180 - -1252?\nAnswer: -838827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*k - 110 - 10. Let c be (30\/4)\/3*(-16)\/k. What is the derivative of 10*j**2 - 26 - 22*j**2 + 47*j**c wrt j?\nAnswer: 70*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -0.069.\nAnswer: -0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -746.163 to 0 dps.\nAnswer: -746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5005\/3 - -1657. Find the common denominator of 3\/4480 and m.\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -10*z + 5. Let q be x(-4). Suppose -4*u + 5*m = -18, 5*u + 7*m - q = 2*m. Let i(s) = 3*s - u*s - 4*s. Give i(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-40)\/(-150)*30\/(-84)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooycyhymhxyyyhmmhmyy. Give prob of picking 2 y.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(6)\/(sqrt(10)\/sqrt(5)).\nAnswer: -2 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -20, 37, -6, 163, -4 in descending order.\nAnswer: 163, 37, 6, -4, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 0*c + 1 + 5*c - 1 + 6. Let w(l) = 4*l + 5. Let i(m) = 5*o(m) - 6*w(m). Determine i(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -350*f + 367. What is a(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4877 (base 9) to base 6.\nAnswer: 24454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 451 and 5549?\nAnswer: 5098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.0483 + -101.92\nAnswer: -101.9683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -33291786*p**5 - 656*p**2 - 2*p + 1933.\nAnswer: -1997507160*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 58 divided by 2\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 14\/21 + 14\/6. Let k(g) = -g + 7. Let f be k(5). Solve r - o - f = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1d4e + 6?\nAnswer: -1d48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v - m + 3, -3*m + 9 = -0*v + v. Solve 4*n + v*n - 16 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7440 + 3724 + 3715 - 159*b**2 as u + y*b + o*b**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 1882438.2 months?\nAnswer: 1568.6985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*o = 10*o - 63*o - 603 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 446826 divided by -46\nAnswer: -223413\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 383, 3, -3.\nAnswer: -3, 3, 383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**3 - 9*y**2 + 11*y - 7. Determine w(4).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -91580, -183171, -274786, -366437, -458136, -549895, -641726, -733641?\n\"Answer: -2*g**3 - 91577*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(3\/7)*x\/(x\/x**(2\/49)))**(-12\/7) assuming x is positive.\nAnswer: x**(-276\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 769935 is divided by 109987?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 45979780 divided by -4597978\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 257*0.3.\nAnswer: 77.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**2 + 6*q - 13. Give y(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes before 1:11 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*i**2 + 3*i**2 + 23*i**2 - 12*i**2.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*n**2 + 7*n**2 + 6*n**2 as q*n**2 + k*n + r and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -10952908 divided by 17?\nAnswer: -10952908\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 144885373.\nAnswer: 17, 8522669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 30, 2, 5, 29 in decreasing order.\nAnswer: 30, 29, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1111095, -4443804, -9998327, -17774670, -27772839?\n\"Answer: -x**3 - 1110901*x**2 + x - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32325?\nAnswer: 3, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -2 - 3) + -18 + 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*h**4 - 144*h**3 + 92*h**2 + 144*h - 16 = 0.\nAnswer: -2, -1, 2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**3 + 9*z**2 + 8*z - 7. Suppose 3*u = -2*j - j + 27, -3*u + 21 = -3*j. Is c(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1062081, -2124099, -3186117, -4248135, -5310153, -6372171?\n\"Answer: -1062018*y - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 58\/4 + 15\/(-30). Let b be s\/(-42)*(-90)\/2. Solve 0*y + 3*y = -b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 587 minutes after 10:56 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27 + (5 - -36) + (-126 - -113).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.1643738441 and -0.11.\nAnswer: -0.2743738441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(3\/7)*(t**(3\/5)*t*t)\/t)\/(t**7*t\/t**(7\/4)))**(21\/4))**(-5\/4) assuming t is positive.\nAnswer: t**(1773\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -36*l**2 - 13*l**5 + 36*l**2 + (0*l + 0*l - 2*l)*(0*l - l**4 + 0*l) + (-3*l + l + 0*l)*(-2*l**3 + 6*l**4 + 2*l**3).\nAnswer: -23*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(3 + (sqrt(325)*-1*4 + sqrt(325) - (-1 + sqrt(325) + 1)) + ((sqrt(325) - (sqrt(325) - (sqrt(325) + 2)))**2 + 3 - -2*(-2*sqrt(325))**2)).\nAnswer: 2935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9630?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/8600480 and 163\/8109024?\nAnswer: 283815840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -76 + -162 + 43 + 194.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 170918964 is divided by 277?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-822)\/(-411) - (-68)\/(-22)*1?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133099 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 627 bigger than 628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-6))\/(2\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 546\/((-12)\/(-30) - (-1)\/(-40))?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-4)*4320\/(-5400)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + s = u, -3*u = 2*s - 8. Suppose 18*n = 14*n - u. Let t(q) = q**2 - q. Let f(y) = 3*y**2 - 6*y. Determine n*f(a) + 4*t(a).\nAnswer: a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 429 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -4*y - 10, -5*y - 67 = d. Calculate the remainder when 53 is divided by (d\/(-9))\/(3\/9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 213\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3252541388 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 20\/16*12\/3. Let y be 10\/(-8) + (20\/4 - l). What is the nearest to -0.2 in -0.2, -0.5, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 298  (b) -32  (c) -0.1  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1\/16 - 39\/112. What is the smallest value in l, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyxyx. Give prob of sequence yxyx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 18589524 and 240?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 762?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 3\/((-18)\/(-6380)) + 96\/144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 1 = 2*n. Let g be ((1 - 3) + -18)\/n. Let b = -14 + g. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -61\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6.83 - -0.17. Let m = -0.014 + 0.014. Is r at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4131143 > 4131143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00356636473 to 6 decimal places.\nAnswer: -0.003566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -c + -cde6d?\nAnswer: -cde7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 7*y + 2*y = -610, 5*y = 5*l - 2900. Suppose l = 10*i - 1205. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 6 = -5*n, -f - 3*n + 2*n + 2 = 0. Let b be (-34)\/(-4) - f\/4. Suppose -5*t - b = 2*r - 2, 3*r + 9 = 2*t. Solve t = -a - a - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2983.345 to the nearest ten.\nAnswer: -2980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -r + 4*i - 3*i, -r + 12 = -2*i. Suppose -4*v - 511 = -u, r*v - 3*v - 3 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 2 + 3)*(-6 + 7 - 3) + 1 + 1 + 1)*(-3*m - m**3 + 3*m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**3 - 2*m**2 - m + 2. Determine r(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 71 + 37. Suppose 0 = d*r - 92*r - 32. Solve 0 = -2*g - r*t + 2, 3*g - t - 17 = -2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -124.518 - -7\nAnswer: -117.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 138807563.\nAnswer: 2551, 54413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12028 = -2*k - 2*o, -52*o + 24083 = 4*k - 57*o. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7*1 + 324\/(-45)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 108, 204, 288, 354, 396, 408, 384?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6461, -13290, -20119, -26948, -33777?\nAnswer: -40606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*k**3\/2 + 12*k**2 + 63*k\/2 + 27.\nAnswer: 3*(k + 2)*(k + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-28))\/(204\/(-119))?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 12*v**2 + 11*v**2 + 6*v - 40 + 15*v - 5*v**2 + 10*v**2. What is the remainder when y(2) is divided by 45?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 126530 and 2810.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-7)\/((f*f**(-1\/3))\/f))\/((f\/f**(-2\/7))\/(f*f*f*(f*f**(-2)\/f)\/f)) assuming f is positive.\nAnswer: f**(-167\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the second derivative of 0*c**2 + 5\/6*c**3 + 4*c + 0. Determine l(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14989682023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 18477*v - 129133. Calculate k(7).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 956023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -83, 3, 2, -5 in decreasing order.\nAnswer: 5, 3, 2, -5, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 4*m**3 - 2*m**2 + 3. Suppose -4*j + 20 = -9*j. Let w = j - 0. Let s(t) = -3*t**3 + 2*t**2 - 2. Determine w*p(n) - 5*s(n).\nAnswer: -n**3 - 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10095 is divided by 194?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 26 = -5*k, 56*k - 53*k = h - 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 4219*g**3 + 6*g**2 - 2*g + 4383. Let u(a) = -4219*a**3 - 8*a**2 + 2*a - 4380. Let l(k) = 4*b(k) + 3*u(k). What is the derivative of l(d) wrt d?\nAnswer: 12657*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.4731382 millilitres?\nAnswer: 0.0004731382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the second derivative of -b**6\/180 - 19*b**3\/6 + 15*b. Let y(u) be the second derivative of f(u). Let k(z) = 6*z. What is y(k(o))?\nAnswer: -72*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -l**6 - l**5 - 829576*l**3 - 3*l**2 - 274596 wrt l.\nAnswer: -120*l**3 - 60*l**2 - 4977456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -50\/7 in 0.5, 5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1740843 or 1740820?\nAnswer: 1740820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 5:03 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes after 10:31 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30067502 and 4749?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a**2 - 4 + 4 + (52*a - 56*a - 29*a)*(3*a + 21*a + 2 - a))*(-3*a**3 + a**3 + 0*a**3 + (-a + 0*a + 2*a)*(0*a**2 + 4*a**2 - 5*a**2)).\nAnswer: 2271*a**5 + 198*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + o + 3 = 0, 3*o = 2*o. Suppose -a*g - 60 = -6*g. Let m = g - 18. Solve 2*w = -8 + m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -64 - -26. Let i = -24 - -34. Find the common denominator of (25\/i)\/(j\/18) and -33\/20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -47*w**2 - 207*w - 72. What is o(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-19)\/4 - (-740)\/148. Let l(s) be the first derivative of 0*s + 0*s**2 - i*s**4 - s**3 - 6. Find o such that l(o) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**2 + 12*d + 20. What is s(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 895747 smaller than 897564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 d, and 1 p when three letters picked without replacement from apadpdaddpda.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 177495 (base 11) to base 4.\nAnswer: 1002300203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11569 + 381742\/33. Let a = l + 4\/3. Let f = 2187\/2 + -1132. Find the common denominator of a and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5571883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -15, -2\/9, 2\/5, 0.3, -14?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 5*o - 1. What are the prime factors of s(7)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 851828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.7 - 0.3. Let r = 3313 + -3313.4. Which is the nearest to i?  (a) 1  (b) 1\/2  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - 0. Suppose -4*c = -w*c. Let z be ((4 - -1)\/1)\/1. Put z, -4, c in ascending order.\nAnswer: -4, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (154 - 105) + -11 - 61.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -6460 (base 7) to base 16\nAnswer: -8f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 120 and 36999960?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zvz when three letters picked without replacement from wvwwwvzwww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + 114423?\nAnswer: 114422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -115.6, 0, 2\/7, 4, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes before 7:47 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 190 a factor of 959948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 - 5*h**2 + 4*h - 11. Let c be f(5). Suppose -4*d - 29 = -2*s + c, -s + d + 19 = 0. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -25*l**2 + l**2 - 3*l**2 - 2*l**2 + l**2 + 0*l**2 - 3*l**2 + 4*l**2 + 0*l**2 + (l - l + 2*l)*(-2*l + 2*l - l).\nAnswer: -29*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 18527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 - 3*i**2 - 3*i - 3. Let u(m) = m**3 - 3*m**2 + 2*m. Let k be u(2). Suppose 0*f + 4*f + 12 = k. Determine q(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -102 + 1409\/14. Calculate the common denominator of -51\/7 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n**5 + 0*n**5 + 0*n**5)*(0 + 0 - 2) + (n**2 - 3 + 3)*(-3*n**3 + 125 + 4*n**3 - 128 - 2*n**2).\nAnswer: -n**5 - 2*n**4 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -42122 (base 6) in base 13?\nAnswer: -276b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes before 7:23 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12644 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22940 - 7105 = 132*i - 24161. Calculate the lowest common multiple of 33 and i.\nAnswer: 3333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24214 (base 7) to base 4\nAnswer: -1202023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 5827, 11140, 16453, 21766?\n\"Answer: 5313*j + 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the third derivative of -n**5\/12 + 17*n**2 + 17*n - 1. Let p(u) = -8*u + 13. Let k(b) = 4*b - 6. Let w(j) = -13*k(j) - 6*p(j). What is q(w(r))?\nAnswer: -80*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-10)*(-3 - 1). Let d be (-1 - -3)*(-3)\/75. Let z = d + 31\/75. What is the biggest value in z, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 55\/(-231)*(-60)\/(-8)*33\/(1155\/14)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -2\/9, 2\/31983, -1\/5?\nAnswer: 2\/31983","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k - 2*k**2 + 6*k - 5*k.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 5*x - 1. Let p be d(2). Let h(m) = 7*m**3 + 14*m**2 - 19*m - 19*m + 6*m - 6*m**3. Let n be h(-16). Solve 3*g - p = -z - n*z, 0 = 2*z + g - 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 0 = n. Let m(y) = -4*y**3 + 10*y**2 - 10*y - 4. Let x(h) = 3*h**3 - 7*h**2 + 7*h + 3. Let g(r) = n*m(r) + 7*x(r). Calculate g(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 24 and 408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 182 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 530218.2 - 0.8?\nAnswer: 530217.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -2*g**3\/11 - 459484*g**2\/11 + 835502*g + 9650004\/11 = 0.\nAnswer: -229762, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1045 = -b + 236. Suppose 6*q + b = -q. What is the common denominator of q\/72 - -4 - (-2 + 5) and 27\/44?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/13  (b) 54995.34  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 38481, 153921, 346323, 615687, 962013, 1385301?\n\"Answer: 38481*p**2 - 3*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-35)\/15 + (-1428)\/9. Is -168 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 348501769?\nAnswer: 7, 11, 646571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73 = 5*t - i, -t - i = 2*i - 5. Suppose 11*n - 204 = 9*n + 4*b, -5*b - 199 = -2*n. What is the greatest common divisor of t and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 12.4917 to 0 decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 192544 and 11044?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d**2 - 2*d**2 - 2*d**3)*(d - 2*d**2 - d) + (-20*d**2 - 9*d**2 - 9*d**2)*(-d**2 + d**2 - d**3)*(-6 + 4 + 3).\nAnswer: 42*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cttc when four letters picked without replacement from {t: 7, c: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 78900632 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 290*z - 271*z = 0. Let t = 291\/370 - -1\/74. Sort t, z, 3\/7 in decreasing order.\nAnswer: t, 3\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**4\/w**9)\/(w**3\/w*w\/((w\/w**8)\/w*w*w)))**(-2) assuming w is positive.\nAnswer: w**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 25 * 0.5.\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -160944*n + 1069999 wrt n.\nAnswer: -160944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18 - 1) + 11 + -1 + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -710037 - -1340037. What is m rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -382 - -266. Let l = b + 162. What is the remainder when l is divided by (-3)\/(9\/(-96)*2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 9 + (-4 - -1) + -1. Solve 2 + 3 = -k*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 178*r - 174*r = -24 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**2 + 54*w + 1035.\nAnswer: -(w - 69)*(w + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 142\/289?  (a) -0.3  (b) 1\/9  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3656752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes after 4:00 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qmy when three letters picked without replacement from {m: 11, y: 1, q: 2}.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 161484712?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -40, 2990, 5, -9, -3, 0 in increasing order.\nAnswer: -40, -9, -3, 0, 5, 12, 2990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/((-12)\/(-9))*(-3)\/(-3). Suppose 0 = b - j + 8, a*b = -2*j + j - 12. Let m = -1\/62 - 119\/310. Sort m, -2, b, -11 in decreasing order.\nAnswer: m, -2, b, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3184268*n**2*z**6 - 3*n**2*z - 16*n**2 + 2*n - 2*z**6 + 1476*z**2 - 11*z wrt z?\nAnswer: 382112160*n**2*z**3 - 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 26, 3\/4, 0.3, -11.8, 3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -154 - -157. Let f(r) be the second derivative of 0 - 1\/8*r**2 + 1\/48*r**4 + 0*r**u - 3*r. Factor f(o).\nAnswer: (o - 1)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 + 3 = 3*g. Let o = g + 15. Suppose -3*s = -2*h - 4 - 0, 4*h = -3*s - 8. Solve s*x + o*x = 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1074 divided by 6\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the second derivative of -y**5\/20 + 3*y**4\/4 - y**3\/3 + 3*y**2\/2 - y. Suppose 2*z + 4*c + 14 = z, 4*z - 2*c - 34 = 0. Does 15 divide r(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fccf when four letters picked without replacement from {f: 2, c: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjfwejxxxxde. What is prob of sequence edf?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 720 and 42?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of l**3*p**3 + 29*l**3*p**2*v - l**3*p*v + 98*l*p**3*v - 2*l*p - 2*p**2 wrt p?\nAnswer: 6*l**3 + 588*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9649 + 9648.9. Which is the smallest value?  (a) 59  (b) d  (c) -2\/63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 494, 491, 486, 479, 470, 459?\n\"Answer: -b**2 + 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 164 + 116 = 14*x. Let u(s) be the second derivative of 0*s**2 + 1\/2*s**5 + 0 + 0*s**3 - 5\/3*s**4 - x*s. Find the third derivative of u(t) wrt t.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) 5  (c) -1444  (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*x**5 - 2018*x**4 - 24460*x**3 - 45092*x**2 + 171626*x - 100058 = 0. What is x?\nAnswer: -7, 1, 1021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes before 4:34 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.468 times 0.512386?\nAnswer: -0.239796648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-6\/11)\/(s\/(s*s**(-2\/7))))\/((s*s**(2\/15))\/s**(-1\/10)) assuming s is positive.\nAnswer: s**(-4769\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 87898 - 87900. Let a be (-3)\/(-12) - (-34)\/(-40). Let l = -6 - -2. What is the smallest value in l, a, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 245 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*a**2 + 12*a**2 + 50*a + 45*a - 95*a + 25*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1\/4590 - 250153\/9180. Let m = -1195\/44 - d. What is the nearest to 16 in -0.4, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the second derivative of 136*n**4\/3 - n**3\/6 - n**2\/2 + 4*n - 4. What is the hundreds digit of k(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 3*j = 82, n - 4*n = -5*j - 46. Let b = -1 + n. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*o + 3*o - 57 + 3*o + 51 - 5*o.\nAnswer: 6*o - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-13)\/f**(-3\/8))\/(f**(-6\/11)\/f**(-2\/13)) assuming f is positive.\nAnswer: f**(-13995\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -20*j**2 + 26*j - 8 - 26*j - 3 with respect to j.\nAnswer: -40*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -74222, -594293, -2005916, -4754867, -9286922, -16047857, -25483448?\nAnswer: -38039471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 215373956227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -84177*c**5 - 112060*c?\nAnswer: -1683540*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -t + 15. Let l be 6\/15*(0 - t). Put l, 5, -1 in descending order.\nAnswer: 5, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (1 - 2187\/(-624)) + 24 + -29 and -149\/156.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-851)\/4*(-6 - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 231 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from dwwwwwwwdwwwtdwtwtwt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 32109\/1287 + (0 - (-14)\/273)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.06?  (a) -0.04  (b) 17  (c) 2  (d) 4  (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6 - 21*f**3 - 3 + 23*f**3)*(-36 + 36 - 47*f) to the form g*f**2 + n*f + i*f**3 + z*f**4 + q and give z.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*r - 172 + 20 + 26 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**5\/4 - 275*x**4\/2 - 25390*x**3 - 1607060*x**2 - 6127940*x - 6028568.\nAnswer: -(x + 2)**2*(x + 182)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -16*m - 856. Give w(-52).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 135 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12 + 30. Suppose x = l + s, -2*x - 3*l = x - 60. Is 19 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of 148*h**5\/5 + 172*h + 55. What is the first derivative of i(r) wrt r?\nAnswer: 592*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 2*u**2. Let m(k) be the second derivative of -86*k**3\/3 - k - 63. Determine t(m(q)).\nAnswer: 59168*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -97 - -277. Let i = 179.999999658 - u. Round i to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -17*l**3 + 221*l**2 - 3*l + 75. What is m(13)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-1))**(2\/33))**16*(m**(-1\/5)\/m**(-4))\/(m**(-2\/9)\/m*(((m*(m*m*m*m\/(m**2\/m)*m)\/m*m)\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(1016\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00379767 to five dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v + 1. Let s(b) = 4*b - 4. Let h = -635 + 629. Determine h*s(p) - 26*i(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 196, 369, 552, 745?\n\"Answer: 5*g**2 + 158*g + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -22, 2, -2 in descending order.\nAnswer: 3, 2, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Do 0.047 and -0.04044 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rs when two letters picked without replacement from lsqesellqseqlrqlfeee?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 33 - 31. Suppose -5 = h*j + 1. Let r(q) = -4*q**2 - 4*q - 2. Let n(i) = -i - 1. Let m(t) = j*r(t) + 12*n(t). Differentiate m(y) with respect to y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u*(u*u*u*u**2)\/u*u)\/u)**(-13\/8))**(2\/5) assuming u is positive.\nAnswer: u**(-39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*g + 5*g - o - 6, 3*o + 12 = -2*g + o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2\/829 - 5785\/7461. Which is the biggest value?  (a) -0.4  (b) 0.3  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 - 3. Let r = j + 9. Which is greater: -5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**3 + 2*d**2 + 3*d + 2. What is the units digit of r(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 + 4. Let s(r) = -3*r**2 - r - 4. Let v(i) = 4*i**2 + 2*i + 5. Give b*v(q) - 3*s(q).\nAnswer: q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1226*q**2 + 1225*q**2 + 3 + 0 + 8*q)*(-3 + 1 + 3)*(-4 + 3 + 3).\nAnswer: -2*q**2 + 16*q + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -54 - -1?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1409801923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002189 to 5 dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 17187277 to the power of 1\/3, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes after 2:01 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8379 and 1071?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = k + 5, -k = 2*k + 4*s - 1. Suppose 0 = -2*x - 3*y - 11, k = -2*y + y. Which is smaller: x or 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4146, 3307, 1908, -51, -2570, -5649, -9288?\nAnswer: -13487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 330.0365 days to nanoseconds.\nAnswer: 28515153600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.4, 5, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -2*x + 83, 2*x - 49 = -3*u + x. Solve -4*j - 5*m + 30 = 5, 0 = -3*m + u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 76*(-2)\/8*2. Is 19 a factor of (-1)\/(2\/c - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-4)\/6)\/((-10)\/45). Let s be ((-30)\/(-25))\/(1\/25). Let q = 34 - s. Solve -z*g = -5*m + g - 29, q*m - g = -21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1110 divide 219013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -0*r - 4*r. Let w(j) = -j**2 + 4*j + 2. What is the remainder when r is divided by w(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 38, -144, 1015\/19?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 5, -228, 1, 4, 0.\nAnswer: -228, 0, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i**2 - 311620071*i - 311620068 = 0 for i.\nAnswer: -103873356, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -9504 divided by -21?\nAnswer: 3168\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*(o\/(o\/(((o\/(o\/(o\/(o*o*o\/o**30*o))))\/o)\/o)))\/o)\/((o**33\/o)\/o) assuming o is positive.\nAnswer: o**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 + 2)*(-5*r + 2*r - 2*r) + 3*r + 3*r - 3*r + (1 + 4 - 2)*(-5 + 3 + 0)*(-3*r - r + 2*r).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/9?  (a) -0.2  (b) -9  (c) -0.5  (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the third derivative of l**6\/90 + l**5\/15 + l**4\/6 + 2*l**3\/9 + 8*l**2. Let y(x) = 0. What is x?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 4 = -4*n + 8, 4 = -h - 4*n. What is the second biggest value in h, 0.5, -0.4, 14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes after 4:53 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**10\/o**(9\/5) assuming o is positive.\nAnswer: o**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 105, -3, 4, 31 in decreasing order.\nAnswer: 105, 31, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 320 and 53440.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 133528 (base 11) to base 15\nAnswer: 42187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3171*j**2 - 2826*j**2 + 97 + j + 5998*j**2.\nAnswer: j**2 + j + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of 20*v**3\/3 + 3*v + 8. Let o be z(3). Let s = o - 125. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y**2 - 132 - 3*y**3 + 132 + y**3 in the form l*y + h*y**2 + r*y**3 + q and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -141.737 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -8*u - 135. Let v(t) = -17*t - 132. Determine -5*f(z) + 4*v(z).\nAnswer: -28*z + 147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 - -57. Let o = -26 + z. What is the smallest common multiple of o and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -129*0.5.\nAnswer: -64.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.457878 rounded to three decimal places?\nAnswer: 0.458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -2*m. Let u(g) be the second derivative of 13*g**3\/6 - 90*g**2 - 14*g + 117. What is u(j(s))?\nAnswer: -26*s - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**3 - o**2 + 20*o + 4. Determine i(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y - 4. Let x be a(-7). Find the second derivative of -j - 6*j - 3*j**x + 2*j wrt j.\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -883 or -888?\nAnswer: -883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2d + 0?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 9173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 5, h: 1, o: 1, d: 4}. What is prob of picking 1 o and 1 s?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26211, -26249, -26287, -26325?\nAnswer: -26363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-939)\/4*172\/(-129)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 379a02 + 2?\nAnswer: 379a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1233 and 12330.\nAnswer: 12330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t\/(t*t\/(t\/(t\/(t\/t**(-15))))*t)))\/t**(-28))\/(t**(-14))**(-30) assuming t is positive.\nAnswer: t**(-405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 692371*b**3 - 1384739*b**3 + 692367*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the first derivative of -h**3\/3 - 40. Let t(r) be the second derivative of -7*r**4\/12 - r**3\/3 - 46*r. Give -t(x) + 6*y(x).\nAnswer: x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/12 and 73\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q - 3 - 9. Let a be ((-14)\/(-6))\/((-1)\/(-3)). Let s = a + q. Solve -y + 2 = -s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -905 - -906. Which is the smallest value?  (a) -3\/10  (b) 1\/124  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3172308 a multiple of 711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/104 and 168\/(-520) - (-56)\/140 - 926\/(-2496).\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3767 + 3766.9999992996. Round j to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 1196 = -r, 2410 = 5*y - 5*r + 930. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -233*r**2 + 51*r**4 + 10 + 10*r**3 - 131*r**2 - 32*r**3 - 11 wrt r?\nAnswer: 1224*r - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-8)\/(l**(2\/5)\/l))**46)**(-27\/2) assuming l is positive.\nAnswer: l**(22977\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 82*r - 48*r + 2 - 339*r to x*r + o and give x.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1995*i = 5220*i + 93257 + 209773 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 11, 0.4, -13, 2, -2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(2448) + (sqrt(2448) - (-2*1*sqrt(2448))**2) - (2 + sqrt(2448) + 1)) + -5 + -3 + 0.\nAnswer: -9807 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(56)\/sqrt(4)*3)\/(sqrt(128) - sqrt(128)*2)*-4 + -2.\nAnswer: -2 + 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 79656.85 minutes?\nAnswer: 4779411000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 512 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -536, -1060, -1596, -2144?\nAnswer: -2704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 4, -6432, 72 in increasing order.\nAnswer: -6432, 0, 4, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 350, 375, 414, 467?\n\"Answer: 7*z**2 + 4*z + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000008586 to 7 dps.\nAnswer: -0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 299524 and 369316.\nAnswer: 38039548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*k + 31*k + 29*k + 116 - 56*k to the form i + n*k and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 8*u - 11*u. Suppose u = 2*t + 10*t - 216. Solve t = 5*i + i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 239 and 355334?\nAnswer: 84924826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21339019 to the nearest integer?\nAnswer: 4619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(3\/7)*u*u**(-6\/5)*(u**0*u)\/u*u*u*u*(u*u**(-6\/11)\/u*u)\/u)**(-1\/40) assuming u is positive.\nAnswer: u**(-1033\/15400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.478679um to kilometers.\nAnswer: 0.000000002478679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*z**3 + 81655*z**2 - 376810720*z + 342215878400.\nAnswer: -5*(z - 7568)**2*(z - 1195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5367*z**2 + 1791*z**2 + 1791*z**2 + 1787*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 620296837?\nAnswer: 620296837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 3985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 8*r - 8. Calculate x(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jxjxxjxjxjjjxxjjjxx. Give prob of picking 2 x and 1 j.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 4*s - 14776 = 0, 11201 + 7278 = 5*k + 2*s. Suppose 105 = -2*x + 107, -2*q - 3*x + k = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/7 + 11067\/147. Let h = a - 31. Calculate the greatest common factor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/1 + 1\/2. Let m = -34 + 34. Let n = -2.57 + -0.43. Which is the closest to l?  (a) -0.3  (b) n  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -44, 81, 288, 577?\n\"Answer: 41*n**2 + 2*n - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7ee8 (base 16) to base 13.\nAnswer: -11a31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2795538 is divided by 123?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -263294998, -263294997, -263294996, -263294995, -263294994?\n\"Answer: v - 263294999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 58 and 1421.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -61151, -122312, -183469, -244622?\n\"Answer: 2*b**2 - 61167*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 18515.6 - 17510?\nAnswer: 1005.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**3\/19 + 2663028*h**2\/19 + 886451450808*h\/19 - 8864780812880\/19.\nAnswer: 2*(h - 10)*(h + 665762)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 + 8*a**2 - 6*a - 1. Let h be t(7). Suppose 0 = h*d - 3*d. Suppose -y + 1 + 1 = d. Solve 6 = -4*k - 2*g + y, -g = -2*k - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 3*x**2 + 5*x - 34. Let i be d(-18). Suppose -9*s - 7*s + i = 0. Is 41 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35636836?\nAnswer: 2, 8909209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -72 + 20*i**3 - 105*i**2 - 2568*i**4 - 19*i**2 + 172*i + 2572*i**4 = 0. Calculate i.\nAnswer: -9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -4*r + 10. What is the third derivative of -3*a**r - a**5 + 0*a**2 + 5*a**5 - 2*a**5 wrt a?\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1121 or 1125?\nAnswer: 1125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4.3 - 35.3. Let u = z - -64. Let n = u + -32.99786. What is n rounded to four dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - (10 - 2)) + 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 8*s - 6. Let a(y) = -17*y + 11. Let o(t) = 2*a(t) + 5*z(t). Let c be o(5). Suppose -g + 34 - c = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes after 5:37 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -701746940 or 0?\nAnswer: -701746940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**2\/7 - 23544*b\/7 + 4142988\/7.\nAnswer: -4*(b - 171)*(b + 6057)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b**2\/19 - 2154086*b\/19 + 6462276\/19 = 0.\nAnswer: -1077046, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 + -2.5. Suppose -4*y - 5*m = 34, m + 0*m = -4*y - 26. Let w = y - -1. Put d, w, -3 in descending order.\nAnswer: d, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 10488.\nAnswer: 10488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 42*w - 47*w = -1005, -5*y + 2*w = -4998. Does 24 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*l - 1860 - l - l - 11*l + 7*l to the form u*l + w and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-40))\/((-756)\/60 + 12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35002.459 rounded to the nearest 1000?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*(l\/(l\/(l\/l**(-2))))\/l)\/l**(9\/2)*(l**(-8))**(-3\/5))**32 assuming l is positive.\nAnswer: l**(528\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (12 - 4) + -6 + 1 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, 0, -116 in decreasing order.\nAnswer: 0, -1\/2, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence muzu when four letters picked without replacement from ojizuum?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 162 divide 305532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 8663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2872762703 to the nearest integer?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5762422?\nAnswer: 2, 17, 169483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -30.31 - 232.433213741\nAnswer: -262.743213741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aahhaauauaaauu. What is prob of picking 1 a and 3 u?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/(-14) - (-38)\/182. Let p = -2.54 - -376.94. Let l = 374 - p. What is the biggest value in c, 5, 1, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*i - 9*i = 124. What is the smallest common multiple of 32 and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.185 + 5.185. Let a = 1 - -10. Let c = 6 - a. What is the fourth biggest value in 2, w, c, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-48)\/(-7))\/((-66)\/189). Let b = -196\/11 - p. What is the common denominator of b and (7 + (-276)\/42)\/(8\/(-49))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1083950002 is divided by 205.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 208136354.\nAnswer: 2, 104068177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 - 590?\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the second derivative of 0 - 1\/4*p**5 - 11\/6*p**4 - 12*p - 4*p**2 - 14\/3*p**3. Suppose v(q) = 0. Calculate q.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b - 3. Let w(z) = -2*z + 7. Let y(a) = 7*o(a) + 3*w(a). Let t(u) = u**2. Determine t(y(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 9*n + 2. Let w(a) = -5*a - 1. Suppose x + 4 - 9 = 0. Let i(r) = r**3 - 4*r**2 + r - 19. Let b be i(x). Determine b*w(z) + 6*d(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1300 + 7084 = 81*r + 681 for r.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 1 + (-10 - -9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 14832+-0.18\nAnswer: 14831.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, j: 1, a: 2}. What is prob of sequence ajax?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 77 + -29. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1781, 1816, 1849, 1880?\nAnswer: 1909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 divided by 3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128 = 4*y + 4*z, 804989*z - 804990*z + 28 = -3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 20*i**3*n**2 - 330*i**3*n - i**3 + 6506*i**2*n**2 - 41*i**2*n + 2*i**2 - 2*i*n + n**2 wrt n.\nAnswer: 40*i**3 + 13012*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 417 + -414. Suppose 3*b + 15030012 = 4*r, 8*b - 10*b - 10019991 = g*r. Round b to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 175  (b) 0.4  (c) -3  (d) -39262\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 692048713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -21 - -40. Let k = -28 + p. Let j = k - -11. Solve z = -j*z - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2125 + 1209. Let y = -864 - s. Which is the smallest value?  (a) y  (b) 4  (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 40441 and 77189846?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(1088))*1)**2*5.\nAnswer: 5440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30492 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 + 8*h**2 + 4*h - 5. What is the units digit of n(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 80 + 75355967487?\nAnswer: 75355967567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 1643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -171452 - 2013*v**6 - 2805*v**2 + 171452 - v**4 wrt v?\nAnswer: -241560*v**3 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes before 11:05 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (348\/(-493))\/(102\/(-2601))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the second derivative of 3*i**5\/20 - 4*i**4\/3 - 5*i**3\/6 + 7*i**2 + 2*i + 20. What is the tens digit of a(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = p + f + 7, -86 = -5*f - 39 - 52 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*q**3 - 6*q**2 - 2241*q + 58602 wrt q.\nAnswer: -6*q**2 - 12*q - 2241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 2*h**2 - 25*h - 53. What are the prime factors of m(44)?\nAnswer: 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-66)\/(-143) + 187056\/(-332111)?\nAnswer: -6\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 73265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -86*r**3 + 3*r**2 - r + 3. Let f(d) = d**3 + d + 1. Let b(o) = -f(o) + j(o). Let h be b(2). Let s = -319 - h. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 419 and (-15 + 122\/8)\/(3\/12).\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u = 5*s + 8*u, -2*s - u = -3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the first derivative of -441*n**5\/5 - n**4\/2 + 413*n - 510. Differentiate i(q) wrt q.\nAnswer: -1764*q**3 - 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j. Let a(f) be the third derivative of f**4\/8 - 6*f**2 + 2. What is v(a(n))?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 388626*j + 388488*j - 4.\nAnswer: -138*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 190103, 190251, 190387, 190511, 190623?\n\"Answer: -6*n**2 + 166*n + 189943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u - j = -36, -2*u - 75*j = -72*j + 18 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**2 - 3*j**2 - j**2)*(-10 + 24*j + 10) + 4*j - 4*j + 2*j**3 + 6*j - 5*j**3 + 6*j**3 - 2*j**3.\nAnswer: -71*j**3 + 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1fd - -a?\nAnswer: -1f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1085503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -875 + 865. Sort g, 5, 0.\nAnswer: g, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-5975)\/9)\/((-40)\/60). Let j = i - 1012. Find the common denominator of j and 58\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 6*h - 3. Let c be b(2). Suppose -c*y + 46 = -26. Calculate the greatest common factor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*v**2 - 4*v**3 + 8*v**2 - 3*v**3.\nAnswer: -7*v**3 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5137986 and 31098?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 204 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(-12)*(-4 - 2). Suppose 0 = -4*g + 1 + l. What is the least common multiple of g and ((-3)\/(-4))\/(1\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i + 2. Let g be x(5). Let s = 36 + g. Solve 0 = -5*j - s + 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 13*n**2 - 89*n + 118. Give g(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -4*l + 839 + 9*l - 2*l - 840. Let v(f) = -2*f**2. Calculate v(s(x)).\nAnswer: -18*x**2 + 12*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from eeeh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (40\/(-28))\/((-27)\/2*300\/(-4725))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/6  (b) 56  (c) 2  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 + 50*s**2 + 10*s + 647. Is n(-106) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10 and 55.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.291460567 to four dps.\nAnswer: -1.2915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as 2\/36241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11201, -45915, -104145, -185891, -291153, -419931?\nAnswer: -572225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 503282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**3 - 3*o**2 + 3. Let z = -20 + 42. Suppose 0 = 4*c - z + 34. Let b be f(c). What is the greatest common divisor of 15 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 143520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -0.13  (b) -0.5  (c) -23  (d) 1  (e) 2582\/5  (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i, 1 y, and 1 n when four letters picked without replacement from {n: 2, y: 4, u: 3, i: 2, b: 1}?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*j - 5*y + 220547 = -34*j, -4*y + 588200 = 8*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -7*c**3 + 5*c**2 + 7*c + 245. Let x be v(-12). What is the highest common divisor of x and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -10\/21, -2\/53, -1, -2\/19?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -7*(-2)\/35 - 21449\/6160. Let y = 1\/112 - q. Which is bigger: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.018 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2*k + 7*k - 4*k + 1. Suppose 4 = j - 2. Is n(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (1 - (2 - 6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4862\/3651 - -2\/1217. Which is the smallest value?  (a) -10  (b) m  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 7*k**2 + 5*k**2 - 9*k**2. Let p(o) = 2*o**2. Determine p(b(s)).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -4833900 to the nearest 100000.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -10891, -10888, -10885, -10882?\n\"Answer: 3*u - 10894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -9 and 1007.\nAnswer: -9063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 414*z + 721*z - 243*z + 0 + z + 0 + 5*z - 2*z - 2*z + (-2 + 1 + 2)*(-z + 4*z - 2*z) + z + 2*z - z.\nAnswer: 897*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes before 4:07 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0237677625 to 3 decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes before 3:39 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -48 - -53. Suppose -l*x = 3*g - 15, -2*g - 2*x + 20 = 2*g. Solve -4*n = -3*h - 25, -5*n - g*h = -h - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -40*x**5 + 12*x**4 - 3*x**3 - 19*x**2 - 39 wrt x?\nAnswer: -2400*x**2 + 288*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-754*u + 2018*u - 160220*u**2 + 28541*u**2 - 756*u - 508*u)*(-2*u + 6*u - 3*u) as f*u**2 + w*u**3 + p*u + r and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -30 - -38. Let d = s - 6. Which is smaller: -11 or d?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 480*m**2 - 480*m**2 - 2*m**4 + 4*m**3 - 2*m to w*m**3 + k*m**4 + a + t*m + b*m**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 145\/2106 and -1\/9.\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (390\/(-10))\/((-403)\/124)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 11*p + 18*p**3 + 11*p - 25*p + 8 - 6 + 5*p**2. Let c be s(2). What is the greatest common divisor of c and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 2*l - 4. Let g = -17 - -21. What is the least common multiple of m(g) and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -38*y + 61*y + 85 - 32*y + 20 + (2*y - 5*y + 2*y)*(-1 + 0 + 0).\nAnswer: -8*y + 105","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 603 + -619 - (-11 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -37 - -2?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 2*f = 4*x - 12, -9 = -f - 3*x. Let a be 0 - (-2)\/(-8) - f. Sort a, 1\/7, 2\/5 in ascending order.\nAnswer: a, 1\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-3)\/(-10))\/(72\/(-60)). Let b = -1.2 - -1. Let i = b - -0.3. What is the closest to p in -0.2, -2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the second derivative of o**9\/1080 + o**5\/30 - o**4\/3 - 6*o. Let y(l) be the third derivative of j(l). Differentiate y(f) with respect to f.\nAnswer: 56*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*h = 53*h - 34. Let j = -161 + 161. Suppose -p - 84 + 220 = j. Calculate the highest common factor of p and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 183608 and 169448.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 5663 (base 10) to base 2\nAnswer: 1011000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -174 + 211. What is the remainder when f is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/33 in -0.2, 0.7, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 182 = -c + 448. Let j = c + -147. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s - 6 - 18. Let g = 7 + s. Suppose -2*b**3 - 19*b**3 + b**2 + g - 7 + 21*b + 5*b**2 = 0. Calculate b.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78 = 3*y - 3*q, y + 2*q + 2*q = 1. Let l = -31772 + 31792. Which is smaller: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16, 91, 164, 235, 304, 371, 436?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d - 2*d - 3*d**3)*(-72271 - 72271 - d + 144539).\nAnswer: 3*d**4 + 9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 102 and 8386712.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4.5 - 5. Let o = -0.6 - r. Which is the closest to 1?  (a) o  (b) 0.3  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -129157, -128196, -127235, -126274, -125313?\n\"Answer: 961*y - 130118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 479 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 + 2)*(5 + 0 - 2)*(-3*w + 0*w + 5*w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are -19681 and -19669 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 157\/1248 and 3025\/(-2250)*3*(-10)\/156?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(200) + 2 + (4*sqrt(200) - sqrt(200)) + 3 + -6*-1*sqrt(200)*-1)**2.\nAnswer: -1000*sqrt(2) + 4125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1465*l + 1475*l = 2969*l - 261 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 2*w**3 + 12*w**2 + 5*w + 4. Let n be z(-5). Let q = 33 - n. Suppose -5*p = 3*u - 759, -q*p + 659 = -u + 45. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/126822 and -163\/16266300?\nAnswer: 374124900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -709 + 712. Solve 0*x = 3*x + g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000079679 to six dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nvomnvvfnm. Give prob of picking 1 f and 1 m.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 - 3*t**2 - 2*t + 2. Let w be h(-2). Let k(b) = 2*b - 3. Let q be k(w). Let z(a) = a + 1. Let g be z(1). Sort g, q, -4 in increasing order.\nAnswer: -4, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + 2 - 12 - (-1 + 2) - -13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 2*z - 112, -j + 109 = -6*z + 5*z. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 4*z = 12, 0*z = -5*h - 2*z + 12. Let n(m) = m**3 + 2*m**2 - 9*m - 1. Is n(h) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1923 = 840*g + 6477 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 12*u - 154. Suppose 8056 = u*d + 2270. List the prime factors of d.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001252878 rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1308057231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 20*q**3 + q**2 - q. Let c be a(1). Suppose -7*v + 2*v = -c. Suppose 12 = m - v*s + 2*s, -5*s = 3*m - 58. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64126046 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6869.119 litres to millilitres.\nAnswer: 6869119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(84))\/sqrt(3))\/((2*sqrt(4) + sqrt(4))*-4)*4.\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the third derivative of 0*g**4 + 7*g**2 + 0*g**3 + 1\/210*g**7 - 1\/20*g**5 + 0*g**6 + 0 + 0*g. What is the third derivative of p(v) wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3942635914 - -0.1.\nAnswer: -3942635913.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 294406 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 60 = 3*y, 5*l - 2*l + 2*y - 45 = 0. Let i = l + -5. Is 12 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15 + -8 + 6 + -2 + -2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -47.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v + 1. Let d(y) = y - 1. Let r(w) = -d(w) - u(w). Let o(q) be the third derivative of q**4\/24 - 8*q**2. Calculate o(r(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*q - 28*q = -11*q + 104 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.198 in -2\/31, -14, -0.06?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and 61.\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-5))\/((-12)\/(-20))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -r - 0. Let v = -5 - r. Let w = 11 + v. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.0296 + -207.4296. Let q = 207.5197 + t. Round q to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21 (base 4) to base 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00135514057 rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5567?\nAnswer: 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1579*o + 1584*o - 110. Let d be 1\/2 + (-3)\/2. What are the prime factors of (d - 0)*-1 + o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 10 = -3*v - 10, 2*h = -3*v - 8. What is the second derivative of -142*u - 1112 + 2224 - 1112 - 113*u**2 - 118*u**h wrt u?\nAnswer: -462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 137644556 by 1253.\nAnswer: 109852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -2*g**2 - 34*g + 9. Suppose -5*c - 2*z = -0*z + 3557, -2848 = 4*c + z. Let y = -730 - c. Calculate x(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 14 = -4*w - 49, 85 = -4*f - 5*w. Let x = 55 + f. What is the highest common divisor of x and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/11 > 36074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 246*j + 3058 + 5798 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from akakaakaka. Give prob of sequence ka.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lllulyuuluyuufflll. What is prob of picking 1 l, 1 f, and 1 y?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 13\/680 - -1\/170. Let d(r) be the second derivative of 0*r**3 - c*r**5 + 0*r**4 + 0 + 0*r**2 - 1\/60*r**6 + 2*r. Solve d(k) = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 34 and 22882?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 42397 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1122 - -1158. Let r = 30 + 82. Calculate the remainder when r is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dmdtddtdtmdmedmmet. What is prob of sequence ee?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of -k**3\/6 + 2*k**2 + 17857*k. Let m be 0\/(-2) + 5 + -3. Give x(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -39 + 69. Let k = 51 - z. Let c = 21.5 - k. What is the smallest value in 3\/5, -4\/7, c?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/45*3 - (-3160)\/25. Let y = u + -74. Let k = y + -467\/9. Which is greater: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = 91*g - 96*g. What are the prime factors of g\/(-24) - (-3)\/(18\/508)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-7)\/5 + 18\/(-63)*-7. What is the biggest value in 2, -1\/9, f, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4368 divided by -112\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u + 29 + 4. Suppose -4*q = -4*b - 0*q + 28, b = 2*q + u. What is the highest common factor of 9 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1693, -4320, -7897, -12436, -17949?\nAnswer: -24448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t\/t**(-31))\/t*t**(-34)*((t**38\/t)\/t)**(-14\/5) assuming t is positive.\nAnswer: t**(-514\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(833))*2 + -1 + sqrt(833) + 0)**2 - (-3*(sqrt(833) - -6*sqrt(833)*-1) + 0).\nAnswer: -315*sqrt(17) + 7522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 64.68577 decades in months?\nAnswer: 7762.2924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 4*q = -4*u - 896, 1123 = 5*q - 4*u. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + 12 - 27 = 0, 5 = 5*k - 3*s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 58880.16g in milligrams?\nAnswer: 58880160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2 - 3 + 3)*(-1 + 2 + 0) - 1 + 3 - 1 + (-8 + 1 - 8)*(2 - 3 + 9)*(0 + 2 - 5))*(2 + l + 2*l**2 - l) to the form d + m*l**2 + f*l and give d.\nAnswer: 718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4296*0.2.\nAnswer: -0.08592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the third derivative of 109*g**7\/70 - 49*g**3\/3 + 312*g**2. What is the first derivative of f(o) wrt o?\nAnswer: 1308*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -4727*h - 2203*h + 32930*h. Suppose 4*w + 0*w = 24. Let f be o(w). What is f rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 638\/990 + 23\/9 + -3. What is the nearest to f in 0.067, 1, -5, -4?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -52 - -56. Solve 3 + 17 = -k*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f - 12. Let o be d(12). Suppose 4*m - 5*h - 595 - 721 = o, 0 = m + h - 338. Let l = 681 - m. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o - 1. Let t(s) = 2*s - 2. Let x(i) = -2*k(i) + 3*t(i). Let h(u) = -3*u**2 - 1. Let f be h(1). Let c = f + 8. Determine x(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1548056927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(720) + 3)*5)**2.\nAnswer: 1800*sqrt(5) + 18225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 166\/(-2573)*(-2976)\/6144?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -929\/7 + 133. Let w be 17\/(-9) + 2\/1. Which is the closest to k?  (a) 5  (b) -0.5  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the third derivative of 0 - 13*d + 0*d**3 + 0*d**4 + 2*d**2 + 19\/60*d**5. Let j(u) = u**2. Calculate z(j(o)).\nAnswer: 19*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4408512637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 28 + -9. Calculate the remainder when 9\/(81\/(-12))*-87 - 5 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -46\/99 and 1.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2\/5  (b) 0.5  (c) -2095  (d) -13  (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 45*q + 50*q - 138*q + 44*q.\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 38, 5\/8, 1.9, 5, -15, 3 in decreasing order.\nAnswer: 38, 5, 3, 1.9, 1, 5\/8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 8 - 2 - (31 - 31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2104*t + 6672*t + 15214 = -80935 - 59163 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -0*x + 27. Let d = 473\/7 - 70. Calculate the common denominator of d and 2 + (21\/x)\/(-1).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -5, -1\/6, 0.06, -0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**9*c**3*c)\/((c**(1\/9)\/c)\/(c*c*c**(-9)*c*c)))**26 assuming c is positive.\nAnswer: c**(2080\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*d**2 - 10*d**2 + 11*d**2)*(10*d + d + 2*d) + 5*d**3 + 0*d**3 - 3*d**3 + (-4*d**2 + 6*d**2 + 0*d**2)*(4*d + d - 4*d) - 6*d**3 + d**3 + 3*d**3.\nAnswer: -50*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 122\/11*p + 560\/11 + 2\/11*p**2.\nAnswer: 2*(p + 5)*(p + 56)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14*(-2)\/(-4)*(-6)\/(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*-4*(-3 + 4*sqrt(187)\/(sqrt(88)\/sqrt(8))*-2*-5).\nAnswer: -480*sqrt(17) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46046 is divided by 303.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*b - 90 = -0*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 3 = 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**2 + 29*u + 22. Let d(y) = -2*y**2 + 59*y + 39. Calculate 3*d(p) - 5*h(p).\nAnswer: -p**2 + 32*p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/(-20) + (-1)\/5. Suppose -4*j + d*j + 20 = 0. Factor -i - i**2 - j*i + 5*i.\nAnswer: -i*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (13\/4 + -3)*-4. What is the nearest to a in -3, 0.24, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 482575?\nAnswer: 5, 97, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 2*m + 27. What is the tens digit of i(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**3 + 13*z**2 + 4*z - 2. Let p be l(13). Suppose -74 + p = 6*n. Put n, 83, -2 in decreasing order.\nAnswer: 83, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -2*w**2 - w + 5. Let t(y) = -3*y**2 + 462*y + 8. What is -t(x) + 2*z(x)?\nAnswer: -x**2 - 464*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -447930 divided by -79\nAnswer: 5670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 228050405 is divided by 949.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 573032277 a multiple of 2364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the third derivative of -a**5\/15 - a**4\/6 + 56*a**2. Factor q(i).\nAnswer: -4*i*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of -52 - -169 - (0 + 7) and 160?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the second derivative of k**6\/15 - 113*k**4\/12 + 2223*k**2 + 651*k. What is the first derivative of l(i) wrt i?\nAnswer: 8*i**3 - 226*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -3*p. Let d(y) = 2*y**2 + 12*y - 12. Let t = -7 + 6. Let r(j) = -j. Let f be r(t). Let h(a) = a - 1. Let g(m) = f*d(m) - 12*h(m). Give q(g(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1967 - 1973 + 5913 - 1973 + 1287*x.\nAnswer: 1287*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 376893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 5\/(-510)*-3*1*4\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*j = 14*j - 8. Suppose -4*c = -j*c. Solve -4*h + c*h = 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(208) + -2 + sqrt(13) + -1 + -2 - (1 + sqrt(637) + -2)*-5)**2.\nAnswer: -800*sqrt(13) + 20900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**5)\/(f\/(f**2*f)))**(-29) assuming f is positive.\nAnswer: f**(-232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17736134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What is 155434 (base 6) in base 5?\nAnswer: 444002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -13 + -17?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - -7. Suppose -a*o + 13 + 3 = 0. Suppose 0 = z + o*z. Solve 3 = -z*l - 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -o*q**3 - 40*o*q**2 + 3497*o*q - 3*o + 7540029*q**3 + 2 wrt o.\nAnswer: -q**3 - 40*q**2 + 3497*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 434.6 - 443. Round a to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 231 and 294.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1838*i**5 - i**4 - 80*i**2 - 10.\nAnswer: -110280*i**2 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5640349?\nAnswer: 11, 13, 39443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.194113554 to 3 dps.\nAnswer: -2.194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/3, 12, 1\/24?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -802 = -3*m + 5*z, 2*z + 0*z - 540 = -2*m. Is 45 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 188267423 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, e: 1, w: 3, p: 1, x: 1}. Give prob of picking 1 x, 1 w, and 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + 16. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 925.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccmmccccccmcmc. What is prob of picking 1 c and 2 m?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0\/((3 - 1)\/(-2)). Suppose c = 2*t - 0*t - 4. Suppose -t*v = 4, -w - 2*v + 32 = -0*w. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 4*n + 1 = 0. Let s(j) be the third derivative of j**4\/24 - j**3\/3 - j**2. Let u be s(0). Which is the third smallest value?  (a) n  (b) u  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 14 - 2)*(m**3 - 5*m**3 + 5*m**3).\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 52145\/76?  (a) 0  (b) 2\/7  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-166)\/15 + -8 + (-484)\/(-60)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(209)\/(-1*sqrt(11)) + ((sqrt(1539) + -2)**2 - sqrt(1539)) - (sqrt(95)*1)\/sqrt(5)*3.\nAnswer: -49*sqrt(19) + 1543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z + 16. Let b be j(8). Suppose -w - 81 = -4*w. Let o = w - b. Solve -3*r = o*v - v - 11, 5*r - 5*v = 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*c = 34*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 27070735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -11821\nAnswer: -35463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tk when two letters picked without replacement from {f: 7, l: 5, k: 3, g: 2, t: 1}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - q - 17901 = o, -44756 = -5*o - q. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -97 and 0.5.\nAnswer: -96.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1425230 and 718?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4 - 2 - (-7)\/(-3). What is the biggest value in 0.1, -0.3, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 58, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6\/7, 4\/3, -5, -6, -14\/17, -0.1.\nAnswer: -6, -5, -14\/17, -0.1, 6\/7, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1239*a**4*c**2 + 4*a**4*c + 2*a**4 - 295*a**2*c + 8*a*c**2 wrt a?\nAnswer: -29736*a*c**2 + 96*a*c + 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 64 + (-1 - (20 - 18 - 20 - 2))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 - 2 - (-1 + 3*2). Let k = w - -14. Suppose k*i - 192 = 5*i. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-12)\/(-7))\/((-14)\/(-147)). Calculate the highest common factor of 144 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -68*g**3*x + 2*g**3 + 2*g**2*x - 9699*g**2 + 27179962*g*x wrt g?\nAnswer: -408*g*x + 12*g + 4*x - 19398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -205 + 209. Let i(s) be the second derivative of s**5\/20 - s**4\/4 - s**3\/6 - 2*s**2 - 10*s. What is i(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 14?  (a) 0.5  (b) 0  (c) -1929\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3313556?\nAnswer: 2, 821, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 221 + -150. What is the remainder when p is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the first derivative of -d**4\/2 + 20*d**3\/3 - d**2 + 32*d - 117. Let l be t(10). Solve 0 - l = -6*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2538 - 627. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1939 > 1939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -123*y = -3*m - 127*y + 14, m = -2*y + 4 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -438 - -438.00745. What is i rounded to four dps?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3\/22, 0.4, 0, 74876.8?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1175.88 - 1107. Let r = 69 - y. What is r rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1, -20 in increasing order.\nAnswer: -20, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -122 + 70. Let t = p - -71. Suppose -2*k = 13 - t. Put k, -5, -4 in ascending order.\nAnswer: -5, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -475*x + 234. Let y(z) = 119*z - 58. Let o(q) = -2*r(q) - 9*y(q). Differentiate o(b) wrt b.\nAnswer: -121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-152)\/(-40) + -4)\/((-87147)\/(-4210))?\nAnswer: -2\/207","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 4, c: 10}. What is prob of sequence cctt?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 28, -2, -14, -3, 3 in decreasing order.\nAnswer: 28, 3, -2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 77004886 a multiple of 2191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 7137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/(n*n**(1\/5)\/n)*n\/n**(-1\/7)*((n\/n**(1\/6))\/n)\/(n\/n**(5\/2)) assuming n is positive.\nAnswer: n**(344\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.02*-0.649.\nAnswer: 0.01298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30156*g - 30186*g = -150 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 4  (c) -4  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -27*w + 31 + 50. Let g(p) = -p**2 + p + 27. Let z be g(-5). Put z, w, 12 in increasing order.\nAnswer: z, w, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3224 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -5*u**2 + 10*u + 11. Let k(m) = m**2 - 2*m - 2. Give 11*k(b) + 2*t(b).\nAnswer: b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 534517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 34106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -79 (base 10) to base 7\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 18 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -5*w - 28. What is v(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*l - 296757 = 172190. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60540213863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 100\/16 + (-117)\/52. Let d(k) = k**3 - 3*k + 2. Let r be d(2). Solve -16 = -l*f - 0, -2*a + 14 = r*f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:56 AM and 2:36 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s + 1 + 2 + 10.\nAnswer: s + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 234078 and 858?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 254 and 21971?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-560)\/50*(-741)\/51870?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.6 and 129.3.\nAnswer: -206.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -35268 + 35270. Solve 3\/5*m - 1\/5*m**f + 0 = 0 for m.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 81733 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -186 times -61\nAnswer: 11346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 185\/(-296)*6\/(-5). Do b and 10\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.237 + 6.763. Which is the second smallest value?  (a) -6  (b) -4  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3276912 divided by 23.\nAnswer: 3276912\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3637630 and 88960?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((87\/(-21))\/(((-1380)\/(-1449))\/(-10)))\/(-12)\nAnswer: -29\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 591977852092 minus -3.9?\nAnswer: 591977852095.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1097361089962 take away -6?\nAnswer: -1097361089956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*w - 4*w + w**2)*(-3*w + 3*w + 2*w**2) + (0*w + w + w)*(-3*w**2 + 2*w**2 + 11*w**2)*(-w - 4 + 4).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3\/4  (b) -105  (c) 2  (d) -4  (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (33 - (58 - -33)) + 38\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 32 + -23. What is the greatest common factor of 36 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -25*b*p**2*z + 2522*b*p**2 - b*z + b - 566*p**2 + 184*p*z - z - 4 with respect to b.\nAnswer: -25*p**2*z + 2522*p**2 - z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 - 8 - (-2 + (6 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 6*d**2 + 20*d + 1. Let i be t(-3). Is -1*(924 + i)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 462928919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Put -11, 3, 4, 2\/11 in ascending order.\nAnswer: -11, 2\/11, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -468227*o**3 + 938657*o**3 - 467792*o**3.\nAnswer: 2638*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4332\/5*v + 2345778\/5 + 2\/5*v**2.\nAnswer: 2*(v + 1083)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/50198442 and 25\/2665404.\nAnswer: 301190652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*l + 15*k = 12*k - 659, -5*k = 25. Calculate the greatest common factor of 4715 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.5  (b) 1  (c) -1292  (d) -27.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 152418835 is divided by 44.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*c + 0 + 2 - c + (-4 + 4 + 2)*(-2 + 2 + 2*c) - 1 + 1 - 2*c to the form p + h*c and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -184?  (a) 33  (b) 5  (c) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17.39 + -16.39. Which is the closest to 0.3?  (a) -2  (b) 7  (c) h  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -2*d**3 + 9*d**2 - 16*d + 6. Let s be l(7). Let r = s + 621. What is r rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 2*s = 2, 3*q - 3*s + 6 = 0. Suppose 5*i - 5*r - 100 = q, -7*r + 52 = 3*i - 12*r. Calculate the remainder when 95 is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2011120102 (base 3) in base 5?\nAnswer: -2331243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, -7, 36, 169, 434, 873, 1528?\nAnswer: 2441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.04?  (a) 0.3  (b) 4  (c) 3\/5  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 603273 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: Simplify ((sqrt(180)*1*3 + -6*(-2 + sqrt(180)))*-4)**2*-5.\nAnswer: -141120 + 34560*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 PM and 7:51 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1648543 and 1055?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -55347 smaller than -56979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1616.24538 nanoseconds in days?\nAnswer: 0.00000000001870654375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 1 n when three letters picked without replacement from xnjnxnnnxhjh?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -23069781*w**4 - 61038*w**2 + 51*w wrt w?\nAnswer: -553674744*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(35)\/sqrt(5) + sqrt(7) + 1 + 1.\nAnswer: 2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4764307.58048 - -4766551. Let b = 2017.4167 - z. Let y = b + 226. Round y to four dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (2*(sqrt(2736) + 2)**2*-3 - (-3 + sqrt(2736)*1 + 3)**2).\nAnswer: -19172 - 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -142*g**3 + 3 + 140*g**3 - 3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 420172 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - 2*d - 6098, 5*m + d + 2*d = 7606. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2212959.0059701347 + -937.1059673347. Let g = 2212021 - j. Let z = g + 0.9. What is z rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 2*z**2 + 4*z**3 + 10*z**2 - 2 - 14 + 10*z - 3*z**3. Let s be r(-11). Let j(a) = -2*a + 2 - 5*a**2 + 3*a + 4 - a**3. Give j(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -313431012 - 1202?\nAnswer: -313432214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19212910, -38425808, -57638704, -76851598?\nAnswer: -96064490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**3 + 4*c**2 - 6. Let g be j(2). Find h, given that 0*h + 1\/3*h**3 + 0 + 0*h**g = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1716 divided by -4.\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.3  (b) 4166  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -10926, -43763, -98506, -175155?\n\"Answer: -10953*z**2 + 22*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(2150\/225*27\/12)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 6407870 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*w**3 + 2*w**3 + 0*w**3)*(4*w**2 + 0*w**2 - 2*w**2 + (0 - 2 + 3)*(4 - 4 + w**2) + 1 - 2*w**2 - 1 - 93657 - 528*w**2 + 93657).\nAnswer: 1054*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1454085781?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (51\/(-6) - -7)*(-8)\/3. Solve -4*u - m*s = -24, 5*s - 43 = -18 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of i**4\/4 + 4*i**3\/3 - i**2\/2 - i - 1. Let l be ((3 + -3)\/2)\/1. Let g be -3 + l + -1 - 0. Determine w(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 354000 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the third derivative of -d**6\/120 + 31*d**5\/60 + 31*d**4\/24 + 17*d**3\/3 - 2*d**2 + 11*d. Give w(32).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 493888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17053749.\nAnswer: 3, 73, 101, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3216\/(-124) - -41*(-66)\/41943.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((4 + (1*sqrt(176) - sqrt(176)) - sqrt(176)) + sqrt(176))**2 - ((sqrt(176)*2 - sqrt(176)) + 5 + (3*(sqrt(176) - (sqrt(176) + 1)))**2))*2.\nAnswer: -8*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -34 - -59. Let t = k - 28. Which is the nearest to 1\/2?  (a) t  (b) -0.1  (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1389132846?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 150*n = 2592475 + 1536125. What is the thousands digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 3*u = -1823, -724 - 1098 = 5*y + 2*u. Let w be (-2)\/13 - y\/169. Suppose -3 = -w*o + 3. Calculate the remainder when 4 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 + -3. Let v be (-2)\/4*32\/112. Let m = 13 - 14. Which is the closest to 0.1?  (a) m  (b) k  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(8)\/sqrt(4) + (-4*sqrt(2)*3 - sqrt(2)))**2.\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q**4\/9 - 2*q**3\/9 + 2*q**2\/3 + 10*q\/9 + 4\/9 = 0. Calculate q.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 PM and 1:19 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a millennium in decades?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1438 a factor of 51110606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*b + 1305 = 69*b + 5*i, -2*b + 557 = -3*i. Let s = -14 - -29. Calculate the remainder when b is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ikkdpikipikikiddpkd. Give prob of picking 1 p, 2 k, and 1 d.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jgxdhsd. Give prob of picking 1 x, 1 d, and 1 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77365 is divided by 473.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*c - o + 473 = 629, c + 2 = 5*o for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/43  (b) -0.5  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or -229?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14310318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 66, 1 in decreasing order.\nAnswer: 66, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -54*b + 51*b + 6. Let k be b + 8\/(-6) - (-27883)\/3. What are the prime factors of 2\/11 - k\/(-121)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 57 + -37. Suppose -24 - l = -b - 2*u, -3*b + 110 = -5*u. Let p be ((-27)\/18)\/((-6)\/b). Solve j = 2*o - p, o + 20 = 4*j + 5*o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-68 + 68 - 5*l**2)*(3*l**2 + 0*l**2 - 2*l**2) + (0*l**2 - 3*l**2 + 2*l**2)*(4*l - 4*l - 2*l**2) to w*l**3 + d*l**4 + j*l**2 + x*l + t and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 193374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -680*m**2*v**2 + 2*m*v**2 - 172*m*v + 2*v**2 - 1 wrt m.\nAnswer: -1360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, 0.1, 15, 5, 0.2, -4\/5, -2581?\nAnswer: -2581","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 9806.748 millilitres?\nAnswer: 9.806748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the second derivative of f**4\/3 - 8*f**3\/3 + 138*f. Factor p(g).\nAnswer: 4*g*(g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -36\/7, -1, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, s: 1, i: 4, m: 9, v: 3}. Give prob of picking 1 i, 1 v, and 1 m.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 - 32 = -g + h, -4*h - 20 = 0. Calculate the remainder when g is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1569 + 3378. What are the prime factors of u?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5111080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 0 + 1)*(1 - 5 + 5)*(-3*h - 2 + 2)*(-5 + 7 + 0) to the form p + o*h and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 2*k**4 - 3*k**3 - 2*k**2 = 0.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -753*f + 125*f**2 + 307*f**2 - 245*f + 957*f**2 - 156*f + f**3 wrt f?\nAnswer: 6*f + 2778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 77\/4 - (1\/4 + 0). What is the derivative of -8*m - 9 + 5 - 26 + r*m wrt m?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-66)\/(100015\/12500 - 8). What is z rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -104*t + 11144 + 13816. What is the lowest common multiple of t and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*(l\/((l*l**8\/l*l)\/l))\/l*l*l\/(l*l**(-6))*l)**27 assuming l is positive.\nAnswer: l**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 + 14*g**2 + 3*g + 15. What is x(-14)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tjns when four letters picked without replacement from {a: 1, s: 6, j: 4, n: 3, t: 2, k: 4}.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from luyul. What is prob of sequence uy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 160*x - 34327 - 7273. Calculate the remainder when x is divided by 26.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, g: 1, u: 1}. 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: Suppose o = -5, 12 = -3*k - 2*o + 5*o. Let x be -1 - -7 - (9 + k). Calculate the highest common factor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 + 2*m - 6*m - 4)*(-15 + 49 - 20) + 6*m - 1 + 1 to the form k*m + f and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2344 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -641 times 0.093\nAnswer: -59.613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 75 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.146  (b) -4  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/7236896 and -63\/1770176.\nAnswer: 246054464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes after 11:22 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -31068, -62139, -93210, -124281, -155352, -186423?\n\"Answer: -31071*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93803.\nAnswer: 19, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 24649\/19 - 1297. Put -5, d, -0.3 in decreasing order.\nAnswer: d, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from yence?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126 = -79*r + 97*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 5*z**2 + 107*z + 52. Let p be m(-21). What is the highest common factor of 4115 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -13327*s**2 + s - 46541 with respect to s.\nAnswer: -26654*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.11642 - 0.116426517. What is q rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 1391671.8 microseconds?\nAnswer: 0.0000161073125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/10)\/((-67)\/134).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1433780383 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 212*g*k**4 - 470*g*k**3 - 3*g*k**2 + k**4 - 13*k**3 - 778069*k**2 wrt k?\nAnswer: 5088*g*k - 2820*g + 24*k - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = 10, 2*f - 871 + 5552 = 3*o. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 19*j**2 - 8*j. Let s(v) = -5*v**2 + 2*v. Let g(w) = 2*m(w) + 9*s(w). Let r(z) = -2*z + 4*z**2 - 3*z**2 + 7*z**2. Determine 6*g(n) + 5*r(n).\nAnswer: -2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 75*f**3 + 155*f**2 + 85*f + 5.\nAnswer: 5*(f + 1)**2*(15*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -720864 * -0.039.\nAnswer: 28113.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.218 times -0.3?\nAnswer: 1.5654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -11 + 7 + 4 + 3*j**2. Let a(b) be the second derivative of -35*b**3\/3 - 44*b + 1. What is f(a(i))?\nAnswer: 14700*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*f + 14*f - f**2 - 2*f**2 - 3 + 3 + (-1 + 1 + f)*(1 - f - 1).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 91084244 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*v + 8*v - 4*v - 17*v**2 as f*v + l + t*v**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -2*v + z, -3*z + 1 = -6*v + 7*v. Suppose v*j + 12 = -0*j. Which is smaller: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47808 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -44\/5 or -776?\nAnswer: -776","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 45 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 11*h + 339. Let x be s(-27). Solve 0 = 5*b - x + 27 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -50\/3179949 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/7*490\/(-90). Suppose -6*i = i. Factor i + 0*j + 2*j**3 + 4\/9*j**2 + f*j**4.\nAnswer: 2*j**2*(j + 1)*(7*j + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*s**2 - 3*s**2 - s**5 + 2*s**5 + 0*s**2 + 0*s**2 + (-3*s**4 + 2*s**4 - 5*s**4)*(-4*s - s + 4*s).\nAnswer: 7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**3 + 135*i**2 - 4623*i + 4489.\nAnswer: -(i - 67)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 779275459 + -779285404.16179. Let f = 9946.2 + b. Let k = f - 1.04. Round k to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*d + 12. Suppose 2*x + t + 9 = -2*x, 0 = 2*t + 2. Sort d, x, 3 in ascending order.\nAnswer: x, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q + 3. Let l be h(4). Let s = 0.8 - 0.5. What is the closest to l in 4, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 divided by 8788.\nAnswer: -9\/8788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/478243088 and -121\/48.\nAnswer: 1434729264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (5 + ((sqrt(500)*-1 + sqrt(500))*-6 - (sqrt(500) - 1*sqrt(500)*1)) + 2*(sqrt(500) - (sqrt(500)*-2 + 1)))**2*-5.\nAnswer: -90045 - 1800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-48)\/230*2710\/(-2168)?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from {m: 5, y: 8, v: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 255.6 - 263.6. Which is smaller: b or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 4 - 1 - 3 - (58 + -56).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f**3 + 0*f**3 - 4*f**3)*(-27*f + 106*f + 143*f - 15*f).\nAnswer: -1035*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/10 and -3\/33688?\nAnswer: 168440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1704 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6*(0 - 170\/(-15)) and 20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 = -3*z - 20 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rmfm when four letters picked without replacement from {f: 3, r: 1, u: 5, m: 4}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 - 122?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -31 in -3, 41, 1\/10, 0.4, -2\/9, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 3090494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gggqggggggggqggq. What is prob of picking 3 g?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 1153774669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -4*f**2 - 3*f - 3. Let o(y) = 13*y**2 + 8*y + 8. Let d = -20 + 28. Let i(m) = d*z(m) + 3*o(m). Let h(k) = -k. Determine i(h(g)).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2256, -4514, -6772, -9030, -11288?\nAnswer: -13546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12400?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 89137566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 18 + 90aa?\nAnswer: 90c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 463?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**2 - 15*u + 14. Let l be (60\/16)\/((-1)\/4). Let d be b(l). Solve -4*q + d = -6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 3*y + d + d, -2*y = 4*d - 6. Suppose -y + 7 = 2*m. Suppose -4*l + 7 = -m*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 22*q + 3. Let h(w) = -12*w. Let d(x) = -b(x) + 2*h(x). Let n(i) = -2*i. Give n(d(s)).\nAnswer: 92*s + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (0 + 0 + sqrt(72) - (sqrt(72) + 1)*-3)*-3*-1*5)**2.\nAnswer: 33840*sqrt(2) + 261409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-280)\/32 - (-27)\/36. Let h(m) = -2*m**2 - 10*m - 2. Determine h(v).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrairsrrhi. What is prob of sequence as?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -2*o - 26. Let n be y(-14). Suppose -2*w - 2 = 0, -u - n + 4 = w. Solve u*s + 6*s + 45 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -171 + 2*t + 335 - 164 + 9*t.\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 3*q + 32, -5*v + q + 40 = 6*q. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 3)*(-3918*f - 603*f**2 + 3918*f - f**2 - 3*f**2 + 6*f**2 + f**2 + 0*f + 0*f + (-f + 4 - 4)*(-f - 3 + 3)).\nAnswer: 599*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What is ((-504)\/154)\/(((-162)\/99)\/(-9))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the third derivative of -z**4\/24 + 103*z**2 + 1. Let d(k) = -2*k - 3. Determine -d(p) + 4*s(p).\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 + 6*d**2 - 2*d + 8. Let u = 10 + -16. Does 9 divide v(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 283\/5 - 57. Let m = 40 + -45. Which is the closest to x?  (a) 1\/2  (b) -4  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 204897 and 1386.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 + 3. Let u(f) = -f**3 + f - 1. Let n(d) = -7*d**3 - 2*d**2 + 10*d - 11. Let j(l) = i*n(l) + 5*u(l). What are the prime factors of j(3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j**3 - j**3 - j**3)*(-2*j - j + 2*j) - 3*j**4 + 6*j**4 - j**4 + 29*j**2 - 29*j**2 + 5*j**4.\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1960 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32 and 219056?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9016*y**2 + 10715*y**2 + 63 + 18661*y**2.\nAnswer: 38392*y**2 + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 275007 + 66164. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/3 + -5 - -89. Suppose 0 = 4*y - 219 - h. Suppose y = 9*d - 59. Solve -4*j = j + d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4969, -4965, -4961, -4957, -4953?\nAnswer: -4949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000026924 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 422, 430, 438, 446?\n\"Answer: 8*h + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes after 11:30 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the second derivative of -47*w**5\/20 - w**4\/12 - w**3\/6 + w**2\/2 + w - 69. Is 12 a factor of v(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1037\/308 + 240\/77. Which is the nearest to n?  (a) -0.7  (b) 5  (c) -4  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -38  (b) -0.4  (c) 0.1  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 3*c + 150 = 0, 5*c - 6*c - 150 = -5*w. Suppose 84 = 4*v + 3*k, -2*v = -3*v - 3*k + w. Calculate the remainder when 30 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*f**2 - f + f**3 + f + (-3*f + 2*f**2 + 3*f)*(0 - 1 + 2*f - 6) in the form m*f + c*f**2 + b + w*f**3 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 + 9. Suppose 5*m + 25 - 85 = z. Solve -g - 4*t + m = -5*g, g - 4*t + 12 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 1. Suppose -12 = -w*q - 3*q. Suppose 43 = 23*d + 36*d - 75. What is the highest common divisor of d and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112 = v + 4*w, 7*w - 4*w = v - 91. Suppose 64*a - v = 65*a. What is a rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 141 - 74. Suppose 0 = -3*o + 3, -4*n - 2*o + 243 = -y. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13203288 by -69.\nAnswer: 191352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-39996)\/(-16))\/9 + 6\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 261?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77654 is divided by 3128.\nAnswer: 2582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 - 14*j + 6)*(3639*j**2 + 169*j**3 - 3639*j**2).\nAnswer: -2366*j**4 + 169*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 338, 192, 46, -100, -246, -392?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/((-8)\/(-34))*1. Let j = z + 15. Let b be -1*j*(-1)\/(-3). Which is bigger: b or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -5*o - 3. Let k be g(-5). Let w = 76 - k. Suppose -9*x = 5*h - 14*x - 650, 545 = 4*h + x. Calculate the greatest common factor of h and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6934 + 18797. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12 - 864. Let i = -852.31 - l. Let k = i + -22. Round k to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 364 - -254. Suppose -6*z - 420 + g = 0. Let i(w) = 6*w - 2. Let s be i(4). What is the highest common divisor of s and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 6*v**2 - v + 20. Does 22 divide c(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/73252 and 127\/140.\nAnswer: 2563820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.05 + 0.11. Let t = 0.94 + z. Let l be (20\/(-105))\/(16\/(-12)). What is the nearest to -0.6 in t, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of u**3\/2 + u. Let t(x) = 5707*x**2 + 5701*x**2 - 11409*x**2. Determine z(t(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**2 + 6*p - 3. Let u(c) = c**3 - 8*c**2 - 11*c + 11. Let s be (-2)\/7 - 455\/(-49). Let f be u(s). What is the units digit of a(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/814 and 9\/612350?\nAnswer: 6735850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 533302 - -4?\nAnswer: 533310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the second derivative of q**7\/56 + 457*q**6\/40 + 210657*q**5\/80 + 3718375*q**4\/16 + 1755677*q**3 + 10328853*q**2\/2 - 744*q. Factor r(m).\nAnswer: 3*(m + 2)**2*(m + 151)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 + 25. Calculate the common denominator of (o\/(-10))\/(16\/12) and 133\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, k: 5, e: 9}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.3017132kg?\nAnswer: 301713200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) -19  (c) -0.2  (d) -0.115  (e) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 7*b**2 + 5*b - 3. Let r(q) = 4*q**2 + 3*q - 1. Calculate -6*i(d) + 10*r(d).\nAnswer: -2*d**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 27899367 to the power of 1\/2, to the nearest integer?\nAnswer: 5282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 24943.727 rounded to the nearest one hundred?\nAnswer: 24900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -1 + 9 + 2*z + 0 - 1. Calculate g(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 380 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 3*h - 7. Suppose -2*z + 24 = 2*l, 5*z - l = -3*l + 48. Calculate the lowest common multiple of z and g(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/4)\/(5\/5)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 376 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*h - 7*h - 33 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12\/63*-3 - 831\/(-21) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -37, -21, 5, 41?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, 25, -4 in decreasing order.\nAnswer: 25, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*y + 64*y + 44 = 4*c, 3*y + 4*c = 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3\/8  (b) 4  (c) 9  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 40.48562 litres?\nAnswer: 40485.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4042989 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 43191 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: b\"What is the fth term of 289745, 289742, 289739, 289736, 289733?\n\"Answer: -3*f + 289748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l - 2. Let t be b(-5). Suppose -4*w = t*z - 16, w - 8 = z - w. Calculate the common denominator of 73\/8 and 0 - (23\/(-10) - z).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -31\/3 in -2\/3, 155, -3, 6, -2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**2 + 1. Let j(n) = 33 - 2*n**2 - 76 - n**2 + 39. Let q be (-2)\/11 - (-138)\/33. What is q*g(o) + j(o)?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13752, 55019, 123796, 220083, 343880, 495187?\nAnswer: 674004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 4*f - 3 + 11 = 0, 4*d - 4*f - 8 = 0. Is 4\/13 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4335\/2*(-1308)\/(-9). Let b = -67 - -71. Suppose c = 3*z + 5*x, 0*x - 314992 = -3*z + b*x. What is z rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b3557 - -2c7?\nAnswer: b382e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54711141 is divided by 347?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 - 6*x + 3. Let i be g(-6). Let l(y) = y**2 - y - 3. Let c be l(i). Put c, -3, 0 in decreasing order.\nAnswer: c, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.01515 to 1 decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -758*x - 5352. What are the prime factors of k(-14)?\nAnswer: 2, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1431035 (base 6) to base 4\nAnswer: 103333133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes before 11:07 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the third derivative of 2*x**2 - 1\/20*x**4 - 4\/525*x**7 + 1\/840*x**8 + 0*x + 0*x**3 - 49 + 2\/75*x**5 + 1\/150*x**6. Find p such that n(p) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 610.\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-52)\/30 - -1) + 84\/140.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/(-20))\/(14571\/84188)?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 61 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 4\/163242285?\nAnswer: 4\/163242285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n**3\/3 - 288*n**2 + 1719*n - 2574 = 0. What is n?\nAnswer: 3, 858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 70379 or 70382?\nAnswer: 70382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -16*u**3 - 6*u**2 + 11*u - 6. Let r(q) = -q**2 + q - 1. What is m(v) - 6*r(v)?\nAnswer: -16*v**3 + 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 4*n - 5. Let z be o(8). Suppose 13 + z = 5*w. What is the least common multiple of w and -1 + 6\/14 - (-10656)\/518?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1019\/2 + -526. Find the common denominator of 49\/404 and h.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 10*k**2 - k + 1. Give x(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6675858?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 6*h - 3*f + 310, 0 = 2*h + 3*f + 322. Let b = h + -37. What is the common denominator of 33\/2 and (3\/b)\/(4\/290)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6721 + 6721. Which is the nearest to 11?  (a) -19  (b) t  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*d**3 + 8*d**3 - 9*d**3 + 0*d**2 - d**2 - 3*d**4 + 6 as v*d + r + t*d**3 + w*d**4 + a*d**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is (6 - -1673 - 3)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:25 PM and 2:31 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 21518861909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1997*25.97.\nAnswer: -51862.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the first derivative of 23*s**3\/3 + 8*s - 44. Differentiate v(n) with respect to n.\nAnswer: 46*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -11, 22, 124, -3.\nAnswer: -11, -3, 1, 22, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -57*b + 45*b + 25344. Suppose -4*f - b = -3*w - 7*f, -2825 = -4*w + 5*f. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 21534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the third derivative of -f**5\/60 - f**4\/12 + 2*f**2. Let r(j) = -j**2 + 3*j + 1. Let p be r(4). Calculate n(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a hour in seconds?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {o: 2, g: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 1 = -55. Let r be -3 + m\/(-17) + 2. Are r and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 4*g + 7 = 0, 0 = -2*s + 2*g - 3 + 1. Let m be 9*((-8)\/(-6) - s). What is the units digit of (m\/9)\/((-1)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the third derivative of q**4\/12 + q**3\/6 - 9*q**2. Let w be l(2). Suppose 4*a - 66 = -2*m, -2*m = -w*a - 4*m + 82. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 247753378 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0, 3330 in decreasing order.\nAnswer: 3330, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3  (b) 2\/9  (c) -29\/4  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 54 + 15b95?\nAnswer: 15c19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 400923772 rounded to the nearest one hundred thousand?\nAnswer: 400900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -3*g**2 - 5. Let x = -291 + 293. Let i(f) = -5*f**2 - 6*f**2 - x + 2*f**2 + 8*f**2. Let k = 1 - 5. Calculate k*h(z) + 10*i(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from {v: 4, b: 4, a: 1, l: 1, y: 4, i: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71862 is divided by 146?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-8)\/(-30)*3\/(-1). What is the second smallest value in -5, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 79*q**3 - 8*q**2 - 13 - 34*q + 29*q + 2 - 80*q**3. Calculate a(-5).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 449 (base 10) to base 9.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 233589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -237 + 241. Which is the third smallest value?  (a) -2  (b) -1\/6  (c) 2\/7  (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the third derivative of -9\/8*g**4 + 1\/60*g**5 - 21*g**2 + 0*g + 7\/60*g**6 + 0*g**3 + 0. What is the third derivative of p(f) wrt f?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/((((j**(-6)*j)\/j)\/j*j)\/j)*j**5*(j*(j**(2\/21)*j)\/j*j)\/(j**(-1\/14)\/j) assuming j is positive.\nAnswer: j**(97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -215091 divided by -71697\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 523811586.\nAnswer: 2, 3, 149, 585919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 71645328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1906 in -14, 142, 13?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.42 and 0.132.\nAnswer: 0.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2833, -0.5, 8, 1\/2, 4.\nAnswer: -0.5, -0.2833, 1\/2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 21*d - 53*d - 3*d**2 - 158 + 158 + d**2. Let x(i) = 6*i. Give x(c(z)).\nAnswer: -12*z**2 - 192*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:20 AM and 2:15 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 6058*f + 60728. Give z(-10).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*a + 0*a - a)*(a + 5*a - 3*a) + 7 + 20675*a**2 - 2*a + 1 - 20668*a**2 to q + f*a**2 + z*a and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of o**4 - 43404*o**3 - 775903 wrt o?\nAnswer: 4*o**3 - 130212*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.057 - -1564299\nAnswer: 1564299.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*s + 54*s + 96*s - 40*s.\nAnswer: 98*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**5 + 69*u**4 - 489*u**3 + 1083*u**2 - 960*u + 300.\nAnswer: -3*(u - 10)**2*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3 - 22*j**2 - 44*j - 70. Let r be d(-20). Let b(f) = 21*f - r*f - 3*f - 6*f. Let u(s) = 2*s + 223. What is b(u(x))?\nAnswer: 4*x + 446","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 146*((-30)\/(-12) + -1). Let j = 54 + k. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*o**5 + 2*o**5 - o**5 + (3*o**2 - 2*o**2 - 3*o**2)*(0*o**2 + 0*o**2 - o**3) + 5*o**5 + 9*o**5 - 5*o**5 - 3*o**5 - 4*o**5 + 4*o**5.\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1, 4, 5, -4, -29, -76, -151, -260?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(275) - -2*sqrt(275) - sqrt(275)))*-4.\nAnswer: -40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 536422 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 5*b - 2379 = -8*b, 4*o = 4*b + 1884. Suppose -4*g = -2*q - 9*g + 960, o = q + 4*g. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -17 + 16.999958. What is y rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1*(-771)\/(-8))\/(45\/190). Let z = 829\/2 + o. Find the common denominator of 79\/2 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the third derivative of 1\/24*u**4 + 0*u**3 + 0 + 1\/60*u**5 + 0*u - 2*u**2. Let p(t) = 8*t**2 + 6*t. What is -6*d(m) + p(m)?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*(i\/((i**0\/i)\/i)*i)\/i)**(-1\/6))**30 assuming i is positive.\nAnswer: i**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -353\/110386?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11399 - 11399.7857. Let c = h + -0.16508. Let v = -0.95 - c. Round v to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 8:44 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -30\/343 + 2332\/27783. Let o = g + 1717\/4536. Let n be (-6)\/(-9)*(-3)\/(-19). Put n, -2\/7, o in descending order.\nAnswer: o, n, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4128563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 10716*f**4 - 37971 wrt f.\nAnswer: 42864*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -13 + -6 + -10 + (1 - -2)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand i**4 - 4*i**4 + 2*i**4 + (-i + 3 - 3)*(13*i - 13*i + 17*i)*(-696 + 75*i**2 + 696 + 2*i**2 - 1 + 1 + (-i + 3 - 3)*(-3*i + 4*i - 3*i)).\nAnswer: -1344*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -14*p - 2. Let y(o) = 26*o + 4. Calculate -11*n(w) - 6*y(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, y: 3, n: 4, d: 2, k: 4, p: 2}. What is prob of sequence hp?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + (-4 - 9) + 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of 7*c**3\/3 - 22*c**2 - 1376*c. Let x(y) = 5*y - 15. Calculate -3*i(v) + 8*x(v).\nAnswer: -2*v + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (((-5*sqrt(133)*2 - sqrt(133)) + sqrt(133))\/sqrt(7)*-1 - ((sqrt(190)\/(sqrt(20)\/(sqrt(18) + sqrt(2))))**2 + -4)).\nAnswer: -301 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**4 - 15*m - 2*m**2 - 12*m + 21*m + 6*m**3.\nAnswer: 2*m*(m - 1)*(m + 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2178669?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -50*s**4 - 2*s**2 - 202?\nAnswer: -200*s**3 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 503799 is divided by 1536?\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100111101100 (base 2) to base 10.\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -13015 + 5?\nAnswer: -13010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*w + 5*w + 0*w)*(10*w**2 - 15*w**2 + 0*w**2 - w + 2) to x*w**3 + c*w**2 + b*w + g and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*d + 40*d = -6. Suppose 2*a = -d*a + 16. Suppose a*l - 4*w = -2*l + 472, 0 = -4*l + 2*w + 468. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f**4\/7 - 10*f**3\/7 + 16*f**2\/7 = 0 for f.\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.4, 118\/13, 3\/8, 3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbnbbbnnbbnbbnbnb. Give prob of picking 2 b and 1 n.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 179926197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.8 in 1, -907, -1, 0.1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes before 9:44 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 110, -310, -734, -1162, -1594, -2030, -2470?\nAnswer: -2914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3318 and 2607?\nAnswer: 36498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1515 = -6*b + 927. What is the first derivative of -b*n + 41*n**3 + 407*n - 40 wrt n?\nAnswer: 123*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 2*s - 3*s - s. Let c(i) = -i**2 - 6*i. Give a(c(p)).\nAnswer: 2*p**2 + 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z*z*z**(-3)*z*z)\/(z**1\/z))**(14\/9)*((z**(-2\/5))**48)**(-2\/65) assuming z is positive.\nAnswer: z**(10828\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1279695 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -222 and -0.1975?\nAnswer: 43.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -8362\/7 equal to -1194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -675834*k**4 + 49224*k**2?\nAnswer: -16220016*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 6492767 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are 150 and 5.774 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 91 - 34. What is the derivative of n*y - 1095 + 17*y + 1084 - 25*y wrt y?\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1896 and -0.241?\nAnswer: 1896.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 308.8 in -0.2, -2\/3, 3\/2, 2, -35\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3136 or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 4*s + 24 = 0, 0 = -3*z - 101*s + 97*s - 24. Solve -11*q + 8*q = d - 13, -5*d + 5*q - 35 = z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 216694 or 216693?\nAnswer: 216694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 20 in -6, 17, -8, -1\/9, 0.06?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7*d**2 + 108*d - 3748 wrt d.\nAnswer: 14*d + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 - ((-12)\/(-9))\/4)*-3. Suppose 0 = -3*w + w + 160. Sort -3, l, w in ascending order.\nAnswer: -3, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1\/20 of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -293*t - 10929*t - 4331*t - 25126*t.\nAnswer: -40679*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - 2 - (2 + 2 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 75*v**2 - 2*v - 2. Let i be s(2). Suppose 15 = 5*f, -5*n = f - 209 - i. Does 26 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*h + 15*h + 18*h - 6 - 58*h + 19*h.\nAnswer: 3*h - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 4*o**3 - o**2 - 14. Let a(s) = -3*s**3 + s**2 + 13. What is -3*a(d) - 2*t(d)?\nAnswer: d**3 - d**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = -5*a - 143 + 128, -h = 4*a - 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 158079 divided by -23?\nAnswer: -6873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/7  (b) -886705  (c) 1  (d) 0.48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 168 divided by -314176?\nAnswer: -21\/39272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -52, 5, 74, 161, 272, 413?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4868794607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 52939040 and 1540?\nAnswer: 52939040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 7 - 1)*(65*s + 194 - 194).\nAnswer: 585*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.073213 to three dps.\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 7 + 4)*(-3*t**2 - 20*t**2 - 4*t**2) as v*t**2 + b + y*t and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -690070 + 1071920. Suppose -1938150 = -4*x + r. Round x to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -98332, -196634, -294922, -393196, -491456, -589702, -687934?\nAnswer: -786152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((5*sqrt(6)*-2)\/sqrt(2))**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -4*u**3 - 2*u**2 + 1. Let j be l(-1). Suppose 44 = 3*v - 4*f - f, -2*f - 59 = -3*v. Suppose v = 4*p - 13. Solve p + 0 = j*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the third derivative of 2*p**2 + 0 + 0*p + 0*p**3 - 1\/12*p**4. Let o(z) = -4*z**2. Calculate o(a(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -364, -3439, -12088, -29197, -57652, -100339, -160144, -239953?\n\"Answer: -481*s**3 + 99*s**2 - 5*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2562353 + 654?\nAnswer: -2561477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 24\/15)*-5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = 5*v - 21. Solve 2*p - v = -0*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-14 - -7) + -868*2. Let z = x + 553. Round z to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-22)\/(-77) - (-66)\/14. Let t(w) = -5*w**3 + 4*w**2 + w - 3. Let l(s) = 10*s**3 - 9*s**2 - s + 5. Let y(v) = i*t(v) + 3*l(v). Factor y(h).\nAnswer: h*(h - 1)*(5*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 80*p**4 - 97*p**4 + 45*p**4 + (-1 + 4*p + 1 + (p + 3 - 3)*(0 - 3 + 2) - 4*p + 0*p + 2*p)*(0*p**3 - 3*p**3 + p**3).\nAnswer: 26*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00478605 to four decimal places.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2*6\/(-6))\/(2\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 + 5*z**2 - 3*z - 5. Let n be g(4). Suppose 3*q = 17 - 86. Is (-1 - q) + n + 1 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49856 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 7.855253kg?\nAnswer: 7855.253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 211 - 4*l**2 - 5*l**2 - 212 + 12*l**2 - 3*l**2 + 0*l**2 + (-2*l + 0*l + l)*(-2*l + l + 0*l) to the form v*l**2 + a + g*l and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.046 - 60.9292.\nAnswer: -60.8832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -4*k + 52, 0 = -2*k - 0*k + 3*v + 34. Let d = -14 + k. Let g(w) = -2*w**2 - 2*w**2 + d*w**2. Let p(j) = 3*j**2. What is g(p(n))?\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 13643355 divided by 909557\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -79167, -79188, -79221, -79266?\n\"Answer: -6*d**2 - 3*d - 79158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/73928568 and 29\/13792?\nAnswer: 295714272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2 - 1318*w + 5287. Give a(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -24319, -24318, -24317, -24316, -24315, -24314?\n\"Answer: g - 24320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 153.0065 + 0.2475. Let o = -155.74 + 2.74. Let b = r + o. Round b to 2 dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the second derivative of 89*w**6 + 1295*w**2 - 265*w. What is the derivative of d(i) wrt i?\nAnswer: 10680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1530 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -15.4362 + -0.2298. Let k = o + 2.056. Round k to 0 dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**3 + 2*i**2 + i + 1. Let c be 35\/7*2\/(-5). Let p be n(c). Let o be (p + 6)*24\/(-140). What is the smallest value in o, 0.1, 0.7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of -u**3\/3 - 14*u**2 - 31*u - 75. List the prime factors of h(-17).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4.851 + 0.149. What is the nearest to -1\/2 in 0.1, 3, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 5*q**5\/3 + 10*q**4\/3 - 25*q**3 - 40*q**2\/3 + 340*q\/3 - 80 = 0.\nAnswer: -4, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**3 - f**2 + f - 4. Let q = -8 + 8. Give g(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2580, 2579, 2578?\n\"Answer: -m + 2581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1a5 (base 15) to base 8.\nAnswer: -574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -0.4216, 0.59 in increasing order.\nAnswer: -2, -0.4216, 0.59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (16\/26)\/(-10*(-225)\/1625)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i\/i**(-11)*i**(-7\/4)*i*((i*i**(-16))\/i*i)\/(i*i\/(i*i**(-1\/42)*i*i)) assuming i is positive.\nAnswer: i**(-233\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 - -11. Let p = 4 + 1. Let d = m - p. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.158206372 rounded to three decimal places?\nAnswer: 0.158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 562375 and 125?\nAnswer: 562375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000035963 rounded to seven decimal places?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.1, -0.037, 1, 1\/9, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/(-4) + (-16917)\/(-4). Suppose v = 4*i - 5*p, -3663 - 584 = -4*i - p. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 165*l - 161*l - 12 = a, -3*l - 3*a + 9 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes before 11:07 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*u = -221*u + 591 + 2302 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (-12 + 21 + -17).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 + (-231)\/(-209) + 346\/(-38). Let v(d) = -5*d + 2*d + 11 - 7*d - 3*d. Is 16 a factor of v(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.08154 and 0.3.\nAnswer: 0.21846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 434028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.42*298374.23\nAnswer: 125317.1766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 114*v + 7 - 229*v - 7 in the form f + p*v and give p.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**2 - 15*c - 1. Let l be q(-5). Calculate the greatest common divisor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2 + 4 - 4*i**2 - 3*i**2 - i**2 wrt i.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 288738, 289037, 289534, 290229, 291122, 292213, 293502?\nAnswer: 294989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 12635, 20197, 27759, 35321, 42883?\n\"Answer: 7562*d + 5073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 408856.962 to the nearest 100.\nAnswer: 408900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-22)\/6)\/(9\/(-27)). Let m = -12 + c. Which is bigger: 0.06 or m?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (190\/15 + 0)*(-54)\/(-4). What is the highest common factor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 3*s**3 + 10*s**2 - 10*s + 1. Let i(y) = 10*y**3 + 31*y**2 - 31*y + 3. Let j(c) = 2*i(c) - 7*t(c). List the prime factors of j(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2. Suppose 8*v - 3*v = -5*q - 5, 0 = 2*v - q - 7. Let h(r) = -2*r + v*r + 2*r. Determine h(s(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, e: 2}. What is prob of picking 2 e and 1 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*z**5 + 10410*z**4 - 2193699*z**3 + 10791672*z**2 - 17175180*z + 8566800 = 0. Calculate z.\nAnswer: 1, 2, 220, 3245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**2 + 12*o + 11. Let i be u(13). Let f be (0 - -1)\/(i\/(-8)). What is the highest common factor of 12 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -2554\/219333 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5066.07 - -5076.27212. Let m = i + -10.2. What is m rounded to 4 decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -5147, -10297, -15433, -20555?\n\"Answer: 7*o**2 - 5171*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 61 + 88 = 0. Solve s*l - 2 = 7*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 6*k**5 + 32*k**4 - 522*k**3 - 3700*k**2 - 3192*k + 3920 = 0. What is k?\nAnswer: -7, -2, 2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -37731 at least as big as -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-8)\/10)\/((-30)\/25). Let j be (-10)\/((-780)\/38) - 4\/26. Find p such that 2\/3*p**2 - j*p - y + 1\/3*p**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/60 + 24\/(-96)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vbrvrmvbyyabbmymm. Give prob of picking 1 r, 2 b, and 1 y.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1 + sqrt(162) + -1)*2 - 4*-3*(sqrt(162) + 0))*-6 + -3)**2.\nAnswer: -31752*sqrt(2) + 1143513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 605061240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f - 15. Let v(d) = d + 16. Let q(w) = 6*t(w) + 5*v(w). Let j be q(-7). Let o = 2.6 - 3. What is the second smallest value in o, 5, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/16*(-3264)\/(-54))\/(1 + 2\/(-6)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 433010?\nAnswer: 2, 5, 19, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -73565151*x**5 - 193*x**2 - 5*x + 10804 wrt x.\nAnswer: -4413909060*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*x = 498 + 90. Suppose 6 = t - 26. Calculate the lowest common multiple of (3 + x\/18)*(-15)\/(-4) and t.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 2*m**3 - 5*m**2 - 9*m - 12. Let s(h) = h**3 - 3*h - 2. Let a(l) = -i(l) + 3*s(l). Determine a(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 + -1ad4f?\nAnswer: -1ad52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 74 + (-16744)\/230 - 1\/((-340)\/(-208)).\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -41 divided by -4?\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*m**2 - 5*m**2 + 3*m**2 - 2*m**2.\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -146797*a*j**2 + 2*a + 3*j**2 + 878637*j wrt j?\nAnswer: -293594*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 10*j + 28. Determine u(-15).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -155*x - 5 = -150*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*g*v*z - 10*g*v - 356899*g*z**2 + 14*g*z + g + 2*v*z**2 + 31*v - z wrt z?\nAnswer: -713798*g + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 217*n - 216*n - 4957 + 3912 to a + m*n and give a.\nAnswer: -1045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 35 = 4*g. Let a = 6 - g. What is the nearest to a in -2\/15, -3\/7, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**2 + 15*n - 11. Let g be w(-16). Solve -10 + 0 = -g*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c + 485 = 541. Calculate the remainder when 25 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z - 20 = -2*z. Let n = 0 - z. Solve 1\/3*m**n + 0 + 0*m**2 + 0*m**4 + 1\/3*m - 2\/3*m**3 = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/(-4)*1*(-704)\/440\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 6, -10, -161877 in increasing order.\nAnswer: -161877, -10, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 574*h**3 - 9*h**2 - 203. Let p(j) = -2*j**3 + j**2 - 3. Let x(r) = 36*p(r) + 4*q(r). Differentiate x(b) wrt b.\nAnswer: 6672*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 360605 divided by -1?\nAnswer: -360605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 2*n**2 + 430256*n + 4732567. Give y(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -21\/362, 2, -0.06, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 31267930283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 270\/(-135) - 8\/(-6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 388 - 385. Suppose 3*n = 4*n - 38. Put 4, r, n in increasing order.\nAnswer: r, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14812 divided by 2116.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the second derivative of 11*g**9\/7560 + 23*g**5\/120 - 5*g**4\/6 + g. Let u(b) be the third derivative of x(b). Differentiate u(s) with respect to s.\nAnswer: 88*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 3*r + 3. Let y be t(-2). Let d = 4 + y. Let f be d + -2*(-3 + 2). What is the third smallest value in -5, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes after 10:42 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (966*a + 498*a + 787*a)*(-1 + 3 - 13 - 5).\nAnswer: -36016*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4140\/(-460) - -622*(27 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -261637470 by 1614.\nAnswer: -162105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 235*w**2 - 220*w - 15 = 0 for w.\nAnswer: -3\/47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 - y**2 + 3*y - 3. Let l be i(3). What is the highest common factor of 64 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1181277211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 506 - 1449 - 443*y**2 - 5*y**2 + 471 + 472.\nAnswer: -448*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = 5*d + 9. Let l be (-8)\/(-6)*(d - -91). Suppose -84 = -4*n - 4*x, -85 = -5*n + x - 2*x. Calculate the highest common divisor of n and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 168568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 20 = 2*q. Suppose 5*o = -2*d + 25, -4*o - 9 = -5*d + q. Let i be (-1 - (-14 + o))\/(-1). Which is bigger: -0.1 or i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sh when two letters picked without replacement from {h: 4, s: 16}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1339 plus 67?\nAnswer: -1272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4*(-9)\/(-60) + 3\/(-5). Sort 1, -2, v in ascending order.\nAnswer: -2, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 32694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -3*c**2 + 3*c - 2. Let l(q) = 9*q**2 - 9*q + 6. Let b(m) = -8*f(m) - 3*l(m). Let k be b(2). Is -8 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from {y: 1, b: 1, h: 2, t: 2, u: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -2*t**3 - 12*t**2 - t - 3. Let p be -7 + (14\/49)\/((-1)\/(-14)). Let z(f) = -5*f**3 - 25*f**2 - 3*f - 7. Give p*z(n) + 7*x(n).\nAnswer: n**3 - 9*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 4 * 5.74342\nAnswer: 22.97368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**4\/6 + 817*n**3\/6 + 3769*n**2\/2 + 52295*n\/6 + 40150\/3.\nAnswer: (n + 4)*(n + 5)**2*(n + 803)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 49a (base 13) in base 12?\nAnswer: 56b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 886179 is divided by 295.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 25 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/(-8)*17\/(51\/(-18)). Let i be (-1)\/((-117)\/(-369)) - f. Sort 3, 17\/4, i in decreasing order.\nAnswer: 17\/4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -523130*c - 1 - 3*c**2 + 37 - 4*c**3 + 4*c**2 + 523129*c as o*c**2 + t + d*c + s*c**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*w**3 - 2*w**4 + 25*w**2 - 13*w**2 - 11*w**2 as d*w + k*w**3 + q*w**4 + n*w**2 + f and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -1 - 2. Let f = 5 - g. Differentiate -1807*z**2 - 3 + 1807*z**2 + 11*z**3 - f wrt z.\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 113 (base 11) in base 16?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 3*j - 3*v - 55, -3*j = v - 25. Let s = 4 - -1. Suppose 5*o + 4*i = i + 50, o = s*i + j. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t**5\/9 - 8890*t**4\/3 + 15806420*t**3 - 42155722140*t**2 + 56214655473690*t - 29984897229666246 = 0. Calculate t.\nAnswer: 2667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -12*b**3 + 2*b + 3. What is the tens digit of t(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from juzzejzjeuzuzuj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**2 - 6*n + 1. Suppose -14 = -4*p + 10. Let i be g(p). Is 7\/(-3)*(-2 - i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 - 16. Let u be 4\/22 + 92\/g. Let y(t) = -t**2 - 6*t - 4. What is the remainder when y(u) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2868*h - 7902*h - 13827*h.\nAnswer: -18861*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 46378541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.017 + 0.077. Let z = p - -25.94. Let r = -26.0000122 + z. Round r to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12*c**6 - 223*c**4*m - 3*c**4 + 23*c**2*m + 3*c**2 - 5*c - 22*m wrt c.\nAnswer: -1440*c**3 - 5352*c*m - 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 371*b - 46*b**2 - 180*b - 189*b to r*b + o*b**2 + x and give o.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3872 is divided by 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -86, -170, -254, -338, -422?\n\"Answer: -84*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p - 1. Suppose -3*r - 3 = 3. Let g be (-7)\/(-3) - r\/3. Let a be (-6)\/(-9)*(-18)\/g. What is b(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56185.19l in millilitres?\nAnswer: 56185190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 562565 is divided by 70295.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sssssqqsqsss. Give prob of picking 4 s.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/10 and -93\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*w - 12207 = -70*w. Calculate the remainder when w is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*w + 18*w + 3*t - 6048, -8*t = -2*w + 2410. Calculate the highest common factor of w and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -26*k + 1834. Determine l(71).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17135 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 4*c - 31. Let l = 5 + 30. What is the greatest common factor of l and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -43.9 + 50. Let i = x + 14.9. Let t = 47 + i. Which is smaller: -0.1 or t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -35 - -35. Suppose t = u - 8*u - 63. Let p = 1 + 1. Which is the third smallest value?  (a) p  (b) 0.1  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a - 2. Let c be y(7). Suppose c*u - 116 + 6 = 0. Suppose 0*f = f - 3. Solve f = -5*w - u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tatt when four letters picked without replacement from {t: 6, r: 3, a: 8}?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = -2*m - 278, -1 = 2*m - m. Let p(d) = d - 4. Let s be p(3). Let f be (4\/(-8))\/s - b\/2. Calculate the highest common factor of 70 and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -5*o**4\/4 + 91*o**3\/2 - 1693*o**2\/4 + 553*o + 1023 = 0.\nAnswer: -1, 3, 62\/5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6*1\/15)\/(5\/1950). Suppose 129 = l - k. List the prime factors of l.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i + 19*h - 18*h + 38 = 0, 26*i - 97 = 3*h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 70.9 + 12.1. Let c = -87288.9965 + 87206. Let p = c + v. Round p to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 4*n**2 - 4*n**2 - 5*n**2 + 6*n**2. Let b(m) = 5*m. Give p(b(f)).\nAnswer: 25*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d. Let n(y) = 48100*y. Calculate n(z(x)).\nAnswer: 48100*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -59  (b) -0.2  (c) -30.9  (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 319*k - 64 - 109*k - 165*k. Determine c(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.4, -4.5, 1, 169.19?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 482\/7 or 68?\nAnswer: 482\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 3*i = 27, 12*i = 14*i + 12. Let q(g) = g**2 + 13*g + 35. What is q(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the third derivative of -p**4\/24 - 7*p**3\/2 - 2*p**2 - 2*p. Let l be i(-20). Let r = 1636\/45 - 182\/5. Is l > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 + 11. Suppose c*p = 3*p. Suppose p = -3*a - 3*t + 30, -5*t + 44 = 3*a + a. Calculate the greatest common divisor of 9 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 + 0. Let z = 1 - n. Let l = 1 + -2\/3. Is l smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -49816, -99634, -149456, -199282, -249112?\n\"Answer: -2*t**2 - 49812*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 7 + -7 + -2 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 2*m**3 + 3*m**2 + 3*m + 5. Let c(w) = w**3 + 2*w**2 + 2*w + 3. Let j(q) = -5*c(q) + 2*x(q). Let p be (1 - -5)*(-2)\/3. Is j(p) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -3*o**2. Let a(g) = -389*g. Calculate a(x(m)).\nAnswer: 1167*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1161538 and 652.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 - -18. Let t = -0.8553 - -1138.7553. Let n = -1138 + t. What is the nearest to n in m, 0.3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes before 10:40 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: d8c (base 14) to base 7\nAnswer: 10535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/7 - (-174)\/21. Suppose 0 = -5*x - 3 + r. Which is smaller: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 694.0087 microseconds in seconds?\nAnswer: 0.0006940087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 168 - 165.5832. What is x rounded to 2 dps?\nAnswer: 2.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1828, 0.389, -3\/2, 4, -1\/4 in descending order.\nAnswer: 4, 0.389, -1\/4, -3\/2, -1828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 8*b**3 - 220*b**2 + 170*b - 1671. Let i be s(27). Suppose 0*g + 0 + 2\/17*g**i - 54\/17*g**2 = 0. What is g?\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2 + j. Let i be w(2). Let u(x) = -4*x**2 - 4*x + 400 - 205 - 198 - x**3. Calculate u(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10011111010110100101101 (base 2) in base 15?\nAnswer: 6d226c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3*((-4)\/2)\/(-2). Let a be ((-8)\/6)\/(2\/v). Let u(t) = -2*t**3 + 2*t**2 - 2. Let m(s) = -s**2 - s + 1. Let b(q) = a*m(q) - u(q). Factor b(p).\nAnswer: 2*(p - 2)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14*s**5 - s**4 + 242*s**3 + s**2 + 3*s - 762?\nAnswer: 840*s**2 - 24*s + 1452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*r + 38 = 16 - 54 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -489858 or -490016?\nAnswer: -490016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.6525 + 2.6525. Which is the smallest value?  (a) p  (b) 54  (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 7838*o**2. Let v(a) = -10*a**2 + 28*a - 7. Let r(l) = -3*l**2 + 8*l - 2. Let z(u) = -7*r(u) + 2*v(u). What is b(z(y))?\nAnswer: 7838*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**5 - 2*c**5 + 3*c**5)*(-6 + 14 - 2).\nAnswer: 12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 take away 1189817834?\nAnswer: -1189817844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 6*i**3 + 3*i**2 - 4*i. Let r be (15\/(-20)*-4)\/(1 + 0). Let l be s(r). Let t = l + -102. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1345648935?\nAnswer: 3, 5, 137, 654817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, m: 1, u: 1}. What is prob of picking 1 m and 3 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzbbzzmbzbtzzbizzm. What is prob of picking 2 z and 1 i?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 - 2*w**2 + 4*w + 3. Let h be s(-3). Suppose -3*a = 2*a - 95. Let u = a - h. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and -0.0462.\nAnswer: 0.0231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 135512 is divided by 6448.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.243 - 0.543. Which is the second biggest value?  (a) p  (b) -1\/26  (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.38?  (a) 59  (b) -1\/42  (c) -1  (d) -10  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1707103, 1707014, 1706927, 1706842, 1706759, 1706678, 1706599?\nAnswer: 1706522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2535244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((-9)\/(-10)*5\/1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -3*v + 1. Let g(l) = -8*l - 76. Let x be g(-10). Suppose 9*d - 14 = 7*d. Let q(p) = 6*p - 2. Determine d*c(h) + x*q(h).\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + -4 + (-9 - (-28 + -14 + 4)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -58, -120, -190, -274, -378, -508, -670?\nAnswer: -870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 88, 171, 254, 337, 420?\n\"Answer: 83*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.5 + -8.4. Let y = 1.11 - 7.61. Let i = n - y. What is the second smallest value in i, 2\/11, -1\/10?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1557 is divided by 1478.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 6*l**3 - 11*l**2 + 12*l. Let k(h) = -h**3 + 2*h**2 - 2*h. Determine 6*c(d) + 34*k(d).\nAnswer: 2*d**3 + 2*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 933 times -176.58\nAnswer: -164749.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -68*s**3 + 2862*s**2 + 8928*s - 810.\nAnswer: -2*(s - 45)*(s + 3)*(34*s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 2924*t + 818709. Give h(-280).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10 - 10. Let m be 0\/(3 - 1 - o). Find the third derivative of m*n**3 - 3*n**2 + 6*n**2 - 4*n**3 wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 - (-40 - (-29 + -14)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -400277213 minus 0.5?\nAnswer: -400277213.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -2\/13  (b) 58  (c) -5  (d) 12  (e) 5\/9  (f) -3\/4  (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.0134 times -0.04\nAnswer: 0.000536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3*3\/18*-4. Suppose 71 = m*i - 31. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 0*b**2 - b**2 - b**2)*(-b**3 + b**3 + 3*b**3).\nAnswer: -6*b**5 + 21*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68*q + 756 = -332 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/4, 4, 0, 4.108, 0.2, -220?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6735 + 6771. What is the remainder when 164 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13*a**2*v**3 - a**2*v**2 + 11*a**2*v + 80*a**2 + 6281*a*v**3 - a wrt a.\nAnswer: 26*v**3 - 2*v**2 + 22*v + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + -9 + -75 + -48 + 50?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 410 + -407. Suppose 0 = -3*g - m + 13, j*g - 4*m = 47 - 9. Solve -g*y + 7*y - 5 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2466389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 15222, 30425, 45626, 60825, 76022, 91217?\n\"Answer: -d**2 + 15206*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 316\/(-3*(-4)\/(-608) - (-16)\/128)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -146 = -0*o + 3*o - 5*u, 0 = 4*o - 2*u + 218. Let b = o + 66. Which is bigger: b or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s + 4. Let k be q(4). Suppose 3*o = -2*v + 7, 0 = -3*o - k*v + 2*v - 1. Is (-1)\/(60\/62 - o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**2 - 10*o - 11. Find the common denominator of u(8) and -54\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 231 by 11.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1611*a = -1607*a - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {x: 1, f: 1, n: 4, h: 6, d: 3, i: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 1*(((-1 + sqrt(208) - sqrt(208) - sqrt(208) - sqrt(208) - sqrt(208) - sqrt(208))*-6 - (0 + sqrt(208) + 1)) + 1))**2.\nAnswer: 1472*sqrt(13) + 110096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 31922985901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 1578 divide 573264122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - 1 - (-6 + 1 + 5 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 + 4. Let h be -1 + 2\/((-2)\/(-7)). Let r be h\/(-9)*-3 - n. Solve -5*u = -r*k - 14, 6*u - 20 = -4*k + 3*u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59536847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 10 and 10.3714.\nAnswer: 103.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 54 = -0*t - 29 - 40, -2*t + 20 = -5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 42a3 (base 13) in base 15?\nAnswer: 2b24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**2\/5 + 153388*x\/5 + 767065.\nAnswer: -(x - 153413)*(x + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 8899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 - -19464?\nAnswer: 19467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 74 + -16. Let a = -36 + b. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -3*f**3 - 5*f**2 + 17*f**2 - 9*f - 21*f**2 - 3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10033 + 42200213?\nAnswer: 42140130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/(-4)*(-2)\/2. Let o = -21.5 + 3.5. Let w = o - -23. What is the closest to 1 in w, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 64968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-8)*(232\/(-10))\/(34\/(-85)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -49 - 1042411?\nAnswer: -1042460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 23327  (b) 0  (c) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g + 33 = 48 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in r - 5*r - r + 4*r + 3.\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1593\/(-1836) + (22\/187 - 0).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 0.961. Round o to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of g**3*y*z**3 - 103572*g**3*y*z - 2*g**3 - 270461*g**2*z**5 + 2*g*z**2 wrt z.\nAnswer: 6*g**3*y - 16227660*g**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -3674, -3673, -3672, -3671, -3670, -3669?\n\"Answer: u - 3675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 4 + 3)*(-2*f**2 - 4*f + 4*f).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -24*d**3 + d**2 + 7*d + 5. List the prime factors of r(-2).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 6, o: 2, a: 1, f: 2, t: 1}. Give prob of picking 1 o and 1 a.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 24171.44256474 and 0?\nAnswer: 24171.44256474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 - -1. Calculate the remainder when (-128)\/w - 6\/9 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/101?  (a) -2\/7  (b) 0  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of f**5\/15 + f**3\/2 + 7*f**2\/2 - 7. Let k(a) be the second derivative of g(a). What is the derivative of k(h) wrt h?\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 7*i**2 + 4*i + 2. Let k be u(-1). Suppose -4*w + k*d = -114, -2*d - 145 = -5*w + 3*d. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -3*a - 4. Let n be t(-2). Suppose -5*f + 2*f = -12. Suppose 12 = -n*m + f, 5*x - 45 = 5*m. Solve 0 = -x*o + 11 + 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyyhyyayhyykya. Give prob of sequence kaay.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 9*x**3 - 1. Suppose -5*u + 0*u = -5. Calculate c(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 b, and 1 t when three letters picked without replacement from {t: 1, v: 1, b: 1, k: 2, e: 1, w: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((82 - 205 - 42)*(4 - 1 - 2) + 2 + 1 - 4)*(2*n + 1 - 1 + (4 - 2 - 1)*(5*n - n - 2*n)).\nAnswer: -664*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3863362, 3863363, 3863366, 3863371?\nAnswer: 3863378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(2\/9))**(-14)\/(((w\/w**2)\/w)\/w)**(3\/2) assuming w is positive.\nAnswer: w**(25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -437599\/30 - -14588. Let t = -7\/15604 + 195071\/46812. Calculate the common denominator of t and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/35*-605 - 15. Factor -o*v - 32\/7 - 2\/7*v**2.\nAnswer: -2*(v + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**3 - 9*v**2 + 13*v + 38. What is l(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 143 - 143 + 12*h as m + k*h and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000348614 to seven dps.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 + 4*y**2 + 4*y - 4. Let l be i(-2). Let a(t) = 21*t + 69. Calculate a(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 60 = 2*l + 12, 0 = 5*l - 4*n - 120. Suppose 2*j + l = o - 4, -2*o = 4*j - 64. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 q when three letters picked without replacement from qqqy.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -10375100 (base 8) in base 12?\nAnswer: -8b4768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1208*c**2 + 4747*c?\nAnswer: -2416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from pkwwwkk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 3*a - 3*b + 3170 = 0, -4*a = 4*b - 2528. Suppose -5*m - 3*z = -343, -2*z = -2*m + z + 154. What is the remainder when a is divided by m?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9840.141 centuries to years.\nAnswer: 984014.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12435*o + 0 = 12454*o - 0. Let c(m) = m**2 + 4*m + 11. Determine c(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r**3 + 3*r**3 - r**4)*(-r - r + r)*(-28 + 75 + 98).\nAnswer: 145*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*a - 2*a + 0*a - 5*a + 3*a + 0*a + (0 - 4 + 3)*(-3*a - a + 6*a) - 2*a + 0*a + 4*a + 9 + 3*a - 9 as j + t*a and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 207083929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does -161 = -141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -2*t**2. Let z(x) = 11*x - 11*x - 8*x - 28*x. Determine w(z(i)).\nAnswer: -2592*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**3 - 2*t**2 - 409*t - 967. Determine u(0).\nAnswer: -967","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 349 or 99514\/285?\nAnswer: 99514\/285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58 = -3*f - j, 2*f - 48 = 9*j - 5*j. Let m be -5 - 3\/((-3)\/(-2)). Let g = m + f. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g = -773 - 221. Calculate the remainder when g is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69 + 451 = 3*t - 148*t - 495 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.06 in 238, -4, -1\/3, -5, 7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xnw when three letters picked without replacement from {n: 1, w: 1, x: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 147116 is divided by 3586.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 33587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 27637 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**2 + 5*y + 2. Determine t(9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -8 greater than 356044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 101128 or -1\/17?\nAnswer: 101128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -8 + 74*u**2 - 72*u**2 + 0*u**3 + 2*u**3 in the form o*u + w*u**3 + s + a*u**2 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k = 4*u + 8, 4*k - 31 = 1740*u - 1735*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/(-117)*((-2)\/(-10))\/((-27)\/(-486)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3966 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 65 - -19?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.03 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 205174 - 359117. Let v be 4 + -4 + t\/16. Let i = v + 9617. What is the common denominator of i and -85\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 64 and 4.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20317.\nAnswer: 11, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 16426 + 23?\nAnswer: 16451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*x - 10*x + 31*x.\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rp when two letters picked without replacement from rrupururpurpr.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -150322001 + -1?\nAnswer: -150322002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from hhhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 270 divide 2309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 4*y + 16. Let z(l) = 5 - 10 + l + 10. Calculate -4*o(k) + 14*z(k).\nAnswer: -2*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 102 a factor of 590886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3995743 - -7016443. Round m to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 3456 = -15*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**3 - 2*m**2 - 2*m + 2. Calculate w(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**4 - 2881*c**3 + 2764797*c**2 - 881962555*c - 1775007362.\nAnswer: (c - 961)**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 643620563 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -1)*(42 + 498\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 5967936, 5967786, 5967624, 5967444, 5967240, 5967006?\n\"Answer: -q**3 - 143*q + 5968080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4089714.\nAnswer: 2, 3, 97, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (5\/3)\/((-6)\/108). Let p = g + 34. Solve w - 5*w + p = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 2*p**4\/3 - 368*p**3\/3 + 5996*p**2 - 96832*p\/3 + 79210\/3 = 0.\nAnswer: 1, 5, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 13 = 85. Suppose -u + 2*u - q = 0. Let r = u + -3. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes after 12:38 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (15 - 8) + -1 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -36\/7 + 34\/7. What is the nearest to -1\/3 in 4, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 156 and 10756470?\nAnswer: 279668220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -30\/143 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 3, b: 2}. Give prob of picking 1 u and 2 b.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.09574 - -0.13723. What is i rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (21\/(-35))\/(4\/40).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -33 - -36. Let q = c - -9. Suppose 4*j + 17*m - 16*m - 84 = 0, -2*j + 2*m = -42. What is the lowest common multiple of q and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-16)\/(-12) - 1\/3. Let z = 9 + d. Let -8 - 5*s**2 + 5*s**4 - 4*s**3 - 6*s**3 + 8 + z*s = 0. What is s?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 10 = 4*d, -2*c + 3*d = -0*c + 11. Suppose c*m = 17 + 11. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -6, -439.7, 3?\nAnswer: -439.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*q**5\/5 + 18*q**3\/5 = 0. What is q?\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/120642 and 46\/93?\nAnswer: 3739902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67*z - 59 = 4*m, 3*z + 4*m - 406 + 395 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 6 + 10 + (-34 - -5)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = -5*r + 2*r. Suppose 0 = -2*q + n + 3*n - 14, q - 5*n = -r. Let u(x) = -2*x**2 + x + x**2 + 0*x**2 + 3. Calculate u(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71574824 a multiple of 1220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -17, 0, -18?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 52, -162, 87 in ascending order.\nAnswer: -162, 52, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 5*a + 13 = -3, -2*z + 10 = 3*a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(1900) + 4 - (-6*sqrt(190)*-1)\/sqrt(10))*5.\nAnswer: 25 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 - 3)*(-5*y**3 + 3*y**4 - 4*y + 5*y**3).\nAnswer: 6*y**4 - 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/4*80\/(-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fffffffvfffffvfvffv. Give prob of picking 1 f and 1 v.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 - -4. Let q = -826 + 841. Solve -3*c = -n*p - 0*p + q, 4*p - 14 = -2*c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4730 and 344?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 4  (b) 0.92  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 + 1)*((-r + 2 - 2)*(-1 + 3 + 0) - 34 + 11*r + 34 + (-4 + 1 + 5)*(-50*r + 6 + 18*r + 26*r)) in the form t + b*r and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*k = -201 + 115 - 98 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 + 6. Suppose -2*n - 2*r = -8, -f*n = -4*r - 15 - 4. Solve 6*s - s + 10 = 0, -n*m - 2*s = -11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 3*o**3 + 13*o**2 + 8*o - 4. Let g be n(-5). List the prime factors of 115\/46*g\/(-5).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 PM and 7:53 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 81\/(-6) + 7 - -6. Let q = -3 + 4. Let s be (1 - q)\/(-1 - -3). Which is the third smallest value?  (a) v  (b) s  (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 2*j. Let z(u) = 6*u + 106. Let x be z(9). Let h = -161 + x. Determine a(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k**4 - 1476*k**3 - 14828*k**2 - 47520*k - 47552 = 0.\nAnswer: -4, -2, 1486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-10 - -16)\/(4\/232*4). What is the derivative of 90*v**2 - 175*v + 195 + 90*v + p*v wrt v?\nAnswer: 180*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -u**5\/4 + 23*u**4\/4 - 69*u**3\/2 + 143*u**2\/2 - 245*u\/4 + 75\/4 = 0. What is u?\nAnswer: 1, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 950016 != 950017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 5*m + 145 = 0, -3*o - 3*m - 37 + 94 = 0. Solve 2*p - 6*p - l - o = 0, 2*l + 3 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 4*o**5\/13 + 150*o**4\/13 - 424*o**3\/13 - 74*o**2 - 72*o\/13 + 320\/13 = 0.\nAnswer: -40, -1, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -6577 times 2\nAnswer: -13154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -25*f + 7. Let h(g) = g - 1. Calculate 5*h(j) + o(j).\nAnswer: -20*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/4, 2\/13, 86, -6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 59\/4 of a microgram in nanograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 24635705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the first derivative of y**3\/3 + y**2\/2 - 2*y + 2. Let i be x(2). Let o(q) = -2*q**2 + 11*q - 9. Let z be o(4). Put -1, z, i in decreasing order.\nAnswer: i, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.121 + -0.01. Let h = i + 79.131. Let g = -78.99999876 + h. What is g rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -37 - 0. Let d = g + 89. Calculate the greatest common factor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -120245, -120285, -120325, -120365, -120405, -120445?\n\"Answer: -40*p - 120205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 66 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*u - 11*u. Let h(p) = p**3 - p. Let x be h(u). Suppose 0 = -x*a + a - 69. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 238, 239, 240, 241, 242, 243?\n\"Answer: y + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4, -19, -44, -79, -124, -179, -244?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.4 and 41188?\nAnswer: 41187.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 53*v - 4. Let i be h(14). Suppose 0 = -4*q + k + 153 + i, k + 1115 = 5*q. Is 32 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 2*u**2 + 14*u + 8. Let y(o) = o**2 + 15*o + 8. Let q(p) = 3*s(p) - 2*y(p). Let q(l) = 0. Calculate l.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 225277?\nAnswer: 13, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 55*k + 458. Calculate i(-19).\nAnswer: -587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1352882163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 4*a + 22 = 0, 18*f - 14*f = 5*a - 22. What is the closest to -0.94 in 1\/5, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 48 and 27?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 144, 1186, 4010, 9504, 18556, 32054, 50886?\nAnswer: 75940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:05 PM and 1:49 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-76 + 1)*4\/(-6). Let o = -34 + a. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the second derivative of -f**3\/2 - 2*f. Let s(u) = -u**2. Determine p(s(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 j, and 2 f when four letters picked without replacement from pjfdfbj.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 986, 320, -310, -886, -1390, -1804, -2110, -2290?\n\"Answer: 3*f**3 - 687*f + 1670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18203085*g + 17*g**2 - 6*g**2 - 18203085*g.\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -197604091, -197604090, -197604089, -197604088, -197604087?\n\"Answer: t - 197604092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 470*a + 2. Let u be h(-3). Let c = -777 - u. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.482 and 6.\nAnswer: -14.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 7\/2 of a hour?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1809072 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1299, 0, -2, -4, -15 in descending order.\nAnswer: 1299, 0, -2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-5))\/(48\/64*8\/(-130))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 2*m + 5 = 0, -2*j - 5 = -m. What is the units digit of 4\/8*6 - j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 163161599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 23 - 26.4. Let c = m + 3.8. Let v = 0 + -0.1. What is the closest to v in 1\/4, c, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7794.84 kilometers to meters.\nAnswer: 7794840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**2 - h. Let j(d) = d**3 + 8*d**2 + 9*d + 10. Let u(y) = -j(y) + 2*k(y). Let z be u(-10). Is (-3)\/2*z\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -105*r**3*v - r**2 + 3*r*v - 227*v + 1 wrt r.\nAnswer: -630*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 76\/15 + 27\/(-405) - (-354)\/(-70)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/(-12) - (-4)\/(-240). Is a less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*l + 33*l = -20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -2*n. Let c(b) = -25*b + 3. Let d(u) = 99*u - 11. Suppose 29 = 5*g - 26. Let z(s) = g*c(s) + 3*d(s). Calculate q(z(w)).\nAnswer: -44*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*c**3 - 52*c**3 - 1168*c + 1168*c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -239.27 rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -29358732 plus -0.5?\nAnswer: -29358732.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + (3 - (0 + 5)) + -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1557, 1542, 1515, 1470, 1401, 1302, 1167, 990?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {k: 1, r: 3, b: 1, j: 2, f: 1, s: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -222121 (base 3) to base 16.\nAnswer: -2ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 14 = -4*n, 5*n = -1 + 11. Suppose -7*j + z*j = 3. Let y(s) = -s**3 - s**2 + 5*s + 5. Let x be y(j). Are x and 8 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03817 + -0.8?\nAnswer: -0.83817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 39156625 and 47500?\nAnswer: 2375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*a**2\/7 - 6954*a\/7 - 1988 = 0. Calculate a.\nAnswer: -2, 3479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*c**2 + 1172*c**2 + 50*c**2.\nAnswer: 1235*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 172503, -7, 58 in decreasing order.\nAnswer: 172503, 58, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/((j*j\/((j\/j**12)\/j*j))\/j)*j\/(j\/(j\/((j**(-19)*j)\/j))*j*j)*(j**(-30))**(-3\/34) assuming j is positive.\nAnswer: j**(164\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j and 1 p when four letters picked without replacement from jjjpjppjjppjpjppjjp?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 3 + 2)*(21*a + 10*a**2 - 21*a) + 3*a**2 - 3*a**2 + a**2 - 3*a - 11*a + 15*a - 4*a**2.\nAnswer: -23*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -14 + 25 + 12 - (-1 - 2)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 95\/12 and 39\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + z = 5*w - 13702, 5*w = -z + 6856. Is z a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes before 10:19 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 10111 (base 2) in base 6?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:50 PM and 6:26 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -195.56 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 - 8*x + 21. Let m be d(10). Suppose 5*u - m = y, 0*u - 11 = -u + 3*y. Suppose -3*o = u*o + 3069000. Round o to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.03 - 2.03. Let o = 0.38 - -7.42. Let h = 8 - o. Put p, -5, h in decreasing order.\nAnswer: h, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the first derivative of -m**4\/4 - 5*m**3\/3 - 5*m**2 - 10*m - 10. Let h be b(-4). Calculate the highest common divisor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 4  (b) 5  (c) -101  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 6*a = 3*r + 207, 0 = a - 3*r - 63. What is the remainder when 50 is divided by (-12)\/a - 206\/(-12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11*j**2 - 2*j**2 + 0*j**2 - 3*j**2 + 4*j**2 - 4*j**2 + (-2 + 0 + 1)*(-1 + 1 - j**2).\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -3*z - 4*z - 16*z. Suppose -6 = -n - 0*n. Let r(j) = 5*j + 2*j - n*j. Calculate r(f(l)).\nAnswer: -23*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -63 + 18. Find the common denominator of (25*(-2 + 3))\/6 and (-43)\/171 - (0 + (-10)\/s).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -4*x + 2, -x = -3*m + 4*m - 4. What is the third derivative of 0*w**2 + 13*w**5 - w**5 + 8*w**x wrt w?\nAnswer: 720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1035084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84 - 80 + 24 = 70*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 8\/(-52) - (-847)\/13. Let c be ((-39)\/n)\/(6\/(-40)). Solve y - c = -3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6716 - -6716.000004325. Round v to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s**3 + 0*s**3 + 2*s**4)*(-1 + 3 + 0) + 0*s**2 + 0*s**2 + s**4 + (2*s - 5*s + s)*(-s**3 + 0 + 0).\nAnswer: 7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 2 b, and 1 f when four letters picked without replacement from {b: 3, j: 1, u: 4, f: 1, s: 4}?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:14 PM and 1:42 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1407 divided by -525?\nAnswer: -67\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -322, 2, 5 in descending order.\nAnswer: 5, 2, -322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 17998+0.2\nAnswer: 17998.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 3*k = 0. Suppose 21 = -5*t + 2*w, -145*w + 149*w = -t - 13. Sort 2, -1, k, t.\nAnswer: t, -1, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*s**2 - 13 + 12*s**2 - 34*s**2)*(-6 - 5 + 4).\nAnswer: 14*s**2 + 91","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 392206 is divided by 2167.\nAnswer: 2146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 2 e when three letters picked without replacement from eefeeeeeeeeeeee?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 202*l**2 - 30*l - 13. Is q(-11) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a - 5048763*q + 143 = -5048761*q, 66 = -4*a + q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -2*d + 31. Suppose -3*s + 4*u = -22, 3*s + u - 4 = -2. Let w(g) = s*g + 1584 - 1584. Determine w(n(m)).\nAnswer: -4*m + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -109 + 112. Let s(i) = -i - 7. Let c be s(-6). What is the second biggest value in c, z, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4360)\/7200 - (-40 + 15620\/396)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 712 divide 35370736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -18, 4 in descending order.\nAnswer: 4, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19129720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6466 and 97096.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffflflffffffllfflfff. What is prob of sequence lll?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 325317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -2, -5, 13, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-60 + 0) + (5 - (-63)\/(-12))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2327*k**2*u**2 + 595*k**2 + 217*k*u**2 - 2065*u wrt u?\nAnswer: 4654*k**2 + 434*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 943*h - 154*h + 582*h = 319*h - 105200 for h.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -3467*h. Let n(t) = 7*t**2. Give n(b(y)).\nAnswer: 84140623*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**2 + 4*l - 3. Let n be m(3). Suppose 4*u - 1 - 15 = n. Suppose u*i - 1062 = -2*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3 - (-1170)\/(-42))*-14. Suppose -5*r + m = 3*t, -3*r = -2*r - 3. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 574770347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46764 is divided by 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37 + -15 - (3 + 7 + 44).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -1130 and -168 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - f + 225 = 0, -4*t + 199 = -0*t - 3*f. Calculate the greatest common divisor of 69 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 445744879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1a (base 16) to base 6\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -3, 1, 7, 0 in increasing order.\nAnswer: -4, -3, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 4*g = -72, 4 = -4*g - 8. What is the highest common divisor of m and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -25713, -51435, -77159, -102885?\n\"Answer: -n**2 - 25719*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -177?  (a) 9  (b) -0.2  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 - 13*y**2 + 108*y - 1411. Calculate t(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7 (base 15) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.4 and -5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1139 - -1168. What is the greatest common factor of b and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -2  (b) 3  (c) -0.03  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12496*w = -2*c - 12491*w + 112, 3*w + 70 = 4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -49.1 + 64.1. What is the biggest value in 0.05, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -113.9 - -87.9. Let l = 34 - 7.5. Let b = k + l. What is the nearest to 1\/5 in 4, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4.953 - -1.953. What is the nearest to 2\/69 in 4, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11260 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ghgghhghhhshghhhg. Give prob of sequence gg.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes before 8:27 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + 2. Suppose -7*h = 23 + n. Does 5 divide h\/(-10) + (-2)\/((-30)\/669)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**8*z*z)\/z)\/(z\/(z**(-7\/2)*z)*z*z))**(-3\/4)\/(z\/((z\/(z\/z**(-7)))\/z)*z\/z**(-8))**(-22) assuming z is positive.\nAnswer: z**(3147\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 593226800 to the nearest one hundred thousand.\nAnswer: 593200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 + 2)*(2*y - 2*y - 2 + 3*y) to the form z + c*y and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -9 - 25*b + 5*b + 10*b + 8*b. Let l(p) = -p**2 - 16*p + 12. Let f be l(-17). Give n(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the second derivative of l**4\/30 + l**3\/3 + 5*l - 1. What is c in k(c) = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-6)\/(3 - 31\/10).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16 + 45. Suppose -258 = -17*y + 14. What is the remainder when k is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes before 11:12 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (10\/(-5))\/((6\/39)\/2). Let g = f - 7. Let c = g + 35. Solve d - 4 = c*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1894, -1884, -1860, -1816, -1746, -1644, -1504?\nAnswer: -1320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1\/(-2))\/((-10)\/80). What is the greatest common factor of 16 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 61.8 + -62. Let z = 191 - 1333\/7. Suppose -2*m + 2*n = m - 4, -4*n - 16 = -2*m. What is the smallest value in c, z, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 15\/4 of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {e: 2, a: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 151*t**4 + 262*t wrt t?\nAnswer: 1812*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + -1. Let f(k) = 0*k**2 - k**2 + 3*k - 9 - u*k + 7*k. Determine f(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-32)\/(-12))\/((-2)\/(-6)). Let i(k) = -11*k - 2. Let s(p) = 4 + 3*p - 9 + 4*p + 1 + 5. Calculate x*s(z) + 5*i(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 29714, 29735, 29768, 29813, 29870, 29939?\nAnswer: 30020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 29 - 33. Let n be 5 - t - (7 + -1). Let b(k) = -k - k**2 - 3*k - 1 - k**3 - 1. Give b(n).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -7, 0.4, 2\/3, 7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 5*t + 267 = 0, -x = -3*t + 8*t - 48. Let q(m) = 3*m**3 + 21*m**2 + 21*m - 21. Let v(u) = -u**2 - u + 1. Determine x*v(g) + 3*q(g).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 317\/1386 + -1\/154. Which is greater: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - 4.194488624.\nAnswer: -5.194488624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -327327853*m**3*o**6 + 20*m**3*o + 575*o**2 + 157*o wrt o.\nAnswer: -39279342360*m**3*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -161213\/900 - -4558\/25. Suppose -188 = -2*q - q + 5*z, 3*q - 4*z - 193 = 0. Suppose 0 = -5*k + 221 - q. Find the common denominator of p and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53640 is divided by 23963?\nAnswer: 5714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -163*o + 49*o + 2964. Solve o = -5*v - 4 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6192\/42656*-1*(-12)\/9?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 - 30. Let c(t) = -5*t**2 - 8*t - 8. Let g(y) = 9*y**2 + 15*y + 15. Let q(z) = o*c(z) - 6*g(z). What is the least common multiple of 6 and q(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b**(2\/9)\/b)*(b*b**(2\/5))\/b*b*(b**(-2\/5)*b)**48)\/((b*b**(-2\/7)\/b)**(10\/7)*b**6*b*b**(2\/17)) assuming b is positive.\nAnswer: b**(947182\/37485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 717419?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -6*t - 1 - 9*t - 9*t. Let o be s(-1). Solve 4*u - o = -x, -3*u + x = -0*u - 12 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1469421951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -17*j**6 - 5406859*j**5 - 2113977*j**2 - 13*j.\nAnswer: -2040*j**3 - 324411540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 2*u = 6*d - 4, 0 = 2*d - u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/13, 2, -98.74 in increasing order.\nAnswer: -98.74, -2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 103 + -5?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g*g\/g**4*g*g))\/(g**(-5\/2)*g))\/(g**(-2))**(2\/79) assuming g is positive.\nAnswer: g**(403\/158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 o, and 1 t when three letters picked without replacement from {t: 1, y: 1, l: 1, o: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - w - w = 4, 5*j - 5*w = 0. Let c(m) = -m - 6. Let z be c(j). Calculate the common denominator of 67\/3 and (-3)\/108*z*-50.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the second derivative of 0*p**2 + 6*p - 1\/3*p**4 + 0*p**3 + 2\/15*p**6 + 0*p**5 + 4. Factor r(b).\nAnswer: 4*b**2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 18, 22, -5 in descending order.\nAnswer: 22, 18, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -500785*g**4 - 1669*g + 29.\nAnswer: -6009420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -111458 (base 9) in base 2?\nAnswer: -10000010010011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**3 + 13*f**2 - 3*f - 11. Let k be p(-13). Calculate the greatest common divisor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (12\/48)\/(1\/((-2)\/2)). Which is the closest to -1\/2?  (a) -5  (b) 1\/2  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 52 + 60. What is the least common multiple of p and (-240)\/(-14)*(-1169)\/(-501)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-64*j**2 - 17*j**2 - 70*j**2)*(j**2 + 9*j - 9*j).\nAnswer: -151*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -52.4103 and -1.9.\nAnswer: 99.57957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c = 3*v + 30, -5*c + 3*v + 40 + 20 = 0 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -5331541 times -38\nAnswer: 202598558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23 + -11. Is (-2124)\/a*(-2)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 791*r**3 - 405*r**3 + 0 + 10*r - 407*r**3 in the form w + u*r**3 + h*r**2 + m*r and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 1 = -3*m - 127, 5*m = s - 40. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-8)\/2*2\/(-4). Let y be (-12)\/21 + (-12)\/(-6). Which is greater: n or y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1393 + 1415. Let f = 31 - 3. What is the least common multiple of m and f\/(-70) - (-72)\/5?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 13 = -11. Let j be (9\/o)\/(14\/(-56)). Factor 0 + 0*i**j + 4\/3*i**2 + 0*i - 1\/3*i**4.\nAnswer: -i**2*(i - 2)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35 + 35 + 299*x.\nAnswer: 299*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 22822*i - 1307. List the prime factors of n(3).\nAnswer: 239, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.004117 to four decimal places.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(1\/4)\/x)\/x)**(-20)*x\/(x\/x**(-3))*x*x\/(x*x**(-4)) assuming x is positive.\nAnswer: x**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 + 18. Let u = 2\/233 - -185\/5592. Let k = u - -7\/24. Which is the third biggest value?  (a) -0.5  (b) k  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -14*h**3 + 7*h**2 - 13*h - 12. Let n(s) = -s**3 + s**2 - 2*s - 2. Determine 6*n(v) - w(v).\nAnswer: 8*v**3 - v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 126\/(-220) - 2088\/(-6960).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppppvznptv. What is prob of sequence zn?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) -2  (c) -15  (d) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2011*q - 2006*q = 3*b, 3*q = -2*b + 19 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (780\/(-468))\/((-50)\/4)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18327873?\nAnswer: 3, 6109291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-234)\/(-5))\/((-2)\/10). Calculate the remainder when ((-10)\/(-15))\/((-3)\/k) is divided by (-1)\/((-2)\/26) - 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + 3, 128 = -4*c - 2*x - 2*x. Let y = -17 - c. Let r = 12 - y. Solve r = -4*m - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/3)\/(60\/270)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.418 - 0.40178. What is w rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -25, 4*p + 5*k = k + 48. Suppose -p + 33 = s. What is the remainder when s is divided by -2*1269\/(-180) + 1\/(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3274?\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -98 + 21 + 24 + 33?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of 0*g**2 + 0*g + 0*g**6 + 0*g**4 + 0*g**5 + 5\/3*g**3 - 5\/7*g**7 + 4. Find the third derivative of l(v) wrt v.\nAnswer: -600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*h - h - 15. Suppose 2*c - h*x - 37 = -3*c, -5*c = -4*x - 41. Solve c*f + 5 = 2*i, 3*f + 3 = i - 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13763+5395\nAnswer: -8368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) -2606  (c) 2  (d) -0.3  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (266\/(-114))\/((-3)\/351). What is the highest common factor of 84 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/7, -4, 7, 4\/213, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 - 3\/(-6)*-6. Let w(c) be the third derivative of c**5\/60 + c**4\/8 - c**3\/6 + 2*c**2. Let g be w(o). Solve g*m = -3*b - 6, -5*b + b + 4*m = 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19397182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -3*j**3 + 0 - 2 + 4 + 2*j. Let a(b) = -10*b**3 + 7*b + 7. Let c be 3\/(3\/(-4) - 0). What is c*a(g) + 14*l(g)?\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 29 = 3*u + 2*u, -2*t - 2*u + 14 = 0. Let i = t + -4. Solve d + i*d = 3*p, -2*d + p = 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -34\/39 in -3, 5, 0.01, -1.8, 1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -22*j + 80*j + 5 + 8 - 22*j - 22*j - 8*j. Let p(t) = 3*t + 7. Let b(x) = -x**2 + 6*x + 2. Let l be b(5). Give l*p(k) - 4*c(k).\nAnswer: -3*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7162430366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 28184.382 - 28152. Round g to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 46*(60\/(-64) - -1) and (-10)\/(-8)*86\/15.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a + 11*a = 10. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 2*t**2 + 32*t + 28. Let o be j(-15). Let y(q) = q - 2. Let i be y(-5). Let c be 56\/2*o\/i. Solve -3*l + c*l + 20 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 3 + 8*f**2 + 15*f**2 + 5*f**2 - 9*f**2 - 4*f. Let t(v) = 2*v + 1. What is the remainder when w(2) is divided by t(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 15) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3317635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 86\/147 and (0 - -20)\/(4\/(-28)*18)?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10*(-3 + (-21)\/(-6)). What is the second derivative of 4*o - o**5 + 0*o**5 - 2*o**g wrt o?\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4*(-3)\/(-240))\/(4\/(-10)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(700) + -1 + 5)**2*2.\nAnswer: 160*sqrt(7) + 1435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*a = -3*x + 125, 4*x - 117*a = -113*a - 24 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 18 - (-5 - 0) - 13\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1189 divided by 4588.\nAnswer: 1189\/4588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3256, 13656, 31052, 55444?\nAnswer: 86832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3182.548696211 less than -0.14?\nAnswer: 3182.408696211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3923821 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 5*b - 180 = 0, -4*i + 2*b = 5*b - 142. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20223746 to the power of 1\/3, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6cfe4c (base 16) to base 14.\nAnswer: -d3d1b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54092*s - 54092*s - v + 2 - 4 = 0, -s - v = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/(6*((-6)\/6)\/((-12)\/(-2)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -78*w**3 + 91*w - 13. Let t(d) = 19*d**3 - 22*d + 3. Determine -3*h(x) - 13*t(x).\nAnswer: -13*x**3 + 13*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -273466, -39 in decreasing order.\nAnswer: -4, -39, -273466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 2*t = -u - 14, 0 = 4*t + 8. Let y be (9\/u)\/((-1)\/2). Suppose -3*s + q - 2*q = -17, y*s - 9 = 3*q. Solve 0 = 3*a - s - 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 9*u**2 + 4*u + 3. Let b be i(-1). Let p(x) = x**2 - 6*x. What is the lowest common multiple of p(b) and 9?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of -34*x**5\/5 - 9*x**3 - 13. Find the third derivative of i(h) wrt h.\nAnswer: -816*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 228847 or 228849?\nAnswer: 228847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3, 10, 39, 90, 169, 282?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 41*v**2. Let z(w) = w + 1. Let r(p) = 12*p + 11. Let h(i) = -2*r(i) + 22*z(i). What is h(y(b))?\nAnswer: -82*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 + 37 = -4*c. Suppose 7 = k - c*x - x, x = -1. Suppose -2*t + 3*q + 252 = 0, 4*t = 5*t - k*q - 120. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10, 103, 206, 283, 298?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:37 AM and 1:17 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -822 at most 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7, -18, -37, -64, -99?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2948184.84 rounded to the nearest 10000?\nAnswer: 2950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 11\/(-33) - 4*2302\/(-12). Let b = 144 - 276. Let u = b + x. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + -2 + sqrt(72) + sqrt(72) - (sqrt(72) - (sqrt(72) + -2*(sqrt(72)*1 - sqrt(72) - sqrt(72))))) + 3)**2.\nAnswer: -144*sqrt(2) + 1161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**3 + 11*g**2 + 7*g - 147.\nAnswer: (g - 3)*(g + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a\/(a\/((a\/((a*a*a**(-2))\/a))\/a)))\/a)\/a)\/a**(-14)*(a*a**(2\/57)\/a)\/a**14)**39 assuming a is positive.\nAnswer: a**(-715\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 180 divide 1804565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 + -2121112211111?\nAnswer: -2121112211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-65348)\/(-930) - 70)*6\/8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b - 1 = -3*k - 0*b, k + 23 = -5*b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from {z: 1, p: 4, j: 1, e: 4, k: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-27)\/18 + -1 + 3. Let y(v) be the first derivative of 2 + 1\/5*v**5 + p*v**2 + v**3 + 0*v + 3\/4*v**4. Find c, given that y(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the first derivative of -s**4\/4 + 2*s**3 - s**2\/2 + 8. Let r be q(6). List the prime factors of (-22)\/((-2 + 4)\/r).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 2*p**3 - p**2 + 2*p + 4. Let a(x) = 3*x**3 - x**2 + 2*x + 3. Give -4*a(f) + 3*c(f).\nAnswer: -6*f**3 + f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -3+1381\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of -g**5\/60 + 3*g**4\/8 - g**3\/3 + 5*g**2. Let f be v(8). Let k(m) = -m**2 + 8*m - 9. Let y be k(f). Solve 0*h = -y*h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.107 and -0.31?\nAnswer: -0.03317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**2 - 4*r + 5. Calculate the remainder when 58*(-4 + 27\/6) is divided by a(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -210 - -223. What is the third derivative of -8*n**3 + 42*n**3 - 76*n**2 - c*n + 13*n wrt n?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -11*a. Suppose 0 = 12*q - 11*q - 13. Suppose 5*c - 2*o = -o - 26, 4*c + 4*o + 40 = 0. Let h(k) = -5*k. What is c*s(v) + q*h(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3818 + -3736. What is the remainder when 3268 is divided by w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1357.55158 - -0.25158. Let d = b + 1426. What is d rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*b - 24 = 34*b, 5*m - b + 9 = 0. Let y(f) = f**3 - 3*f**2 - 4*f - 6. Give y(m).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3985*p**2 - 3914*p**2 - 780*p**2 + 2096*p**2.\nAnswer: -6583*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**3 + 4*n**2 - 4*n**2 - 12*n**3 - 376 + 376 + (-n + n + 2*n**2)*(0 + 0 + n) + 4*n**3 - 6*n**3 - n**3.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -5*d + 2*d + 2*d. Let n be 3 - (0 + (3 - 0)). Let a(r) = 0 + 2*r + n - 3*r. Determine h(a(o)).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -223673b (base 13) to base 16\nAnswer: -a0292e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(2\/9)\/(r*r**(-3\/5)*r))**11\/(((r*r*r**(-2\/17)*r)\/(r**4*r))\/((r*r**(1\/5)\/r)\/((r*r**(2\/15))\/r))) assuming r is positive.\nAnswer: r**(-1648\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -46*a + 15*a**5 + 46*a + (3*a - 3*a - 4*a**2)*(49*a**3 - 13*a**3 - 19*a**3).\nAnswer: -53*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 22*w. Let o(n) = 11*n + 14. Calculate k(o(l)).\nAnswer: 242*l + 308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 6) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -434 - 33*g + 99 + 3*g.\nAnswer: -30*g - 335","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*j**2 + 3 + 21*j**2 + 2*j**3 - 13*j**2 + (4 - 5*j - 4)*(1698 + 226*j**2 - 1698) to m*j**2 + a*j**3 + b*j + c and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 288015737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17939601 + 3*j - 8969882 - 8969719.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 132 is divided by 51.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 282\/(-36)*2 - (96\/(-56))\/((-5)\/(-35))?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3 - 4\/4)*(-18)\/24. Solve -4*l + t + 16 = -0*t, 4*t = q*l + 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.24708 to two decimal places.\nAnswer: 6.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*h - 10 + 10 + (-1 + 0 - 1)*(-2*h - 7*h - 6*h).\nAnswer: 32*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y - 7 - 8. Suppose i + 5*v - 7 = 0, -i - 3 = -2*v - y*v. Factor 2\/9*o**i + 0*o - 2\/9.\nAnswer: 2*(o - 1)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 130*z - 6 - 692*z)*(2*z + 1 - 1).\nAnswer: -1124*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12767853 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the second derivative of w**7\/70 + 32*w**6\/75 + 111*w**5\/50 + w**4\/15 - 15*w**3\/2 - 34*w**2\/5 - 451*w. What is i in l(i) = 0?\nAnswer: -17, -4, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 2\/17  (b) -5  (c) 124286  (d) 0.3  (e) 1  (f) -3  (g) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 861 bigger than 861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b - 3*b + b)*(51979*b + 2434*b + 65523*b + 16780*b - 4829*b - 12455*b).\nAnswer: -238864*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -1) + (18 - 18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15613.36 litres to millilitres.\nAnswer: 15613360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/5*o**3 + 0 - 12\/5*o**2 + 12\/5*o.\nAnswer: 3*o*(o - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 4  (b) -1451  (c) 2\/5  (d) -5  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 0*h + 2*h - h. Let s(v) = v - 2. Let l(p) be the first derivative of -3*p**2\/2 + 12*p + 10. Let b(u) = -l(u) - 6*s(u). What is w(b(x))?\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -d - 0. Suppose 117*l = 110*l. Solve -3*o - d - 14 = 0, -2*m + 2*o = l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97 - 385 = 48*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - 2*a = 0, -8977156*y = -8977153*y + 7*a + 5 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - -1e7?\nAnswer: 1e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 divided by -80?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 8*a + 45 = -5*v, 0 = -2*a. Let q(i) = i**2 - 2*i - 3. Let m(h) = -2*h**2 + 4*h + 6. Let o(x) = v*q(x) - 4*m(x). Factor o(b).\nAnswer: -(b - 3)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the first derivative of -n**2\/2 + 57. Calculate c(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/13523 and 12 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 1 d when three letters picked without replacement from {r: 1, h: 6, d: 4, f: 6}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -89*d + 67. Let k(n) = 2. Let i(h) = 6*k(h) + w(h). What is the first derivative of i(u) wrt u?\nAnswer: -89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 - 22 = 3*r. Suppose -3*g - r = 5*i, 0*g + g + 3 = -i. Let k = -8 - -2. Which is greater: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 41*r**2 + 57*r + 1253. List the prime factors of v(31).\nAnswer: 59, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 25*q - 44*q + 19*q - 30*q**2 + (0 + q + 0)*(-3*q - 2*q + 2*q).\nAnswer: -33*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-3\/5)\/z**15 assuming z is positive.\nAnswer: z**(-78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(1539) + 2.\nAnswer: 3 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 830683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -4*q**2 - 3611*q + 142998. Determine d(38).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.02 + 0.98. Let o = u - 0.999997. Round o to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 + 11*z**2 + z + 15. Let p be f(-11). Let l(v) = 5*v**3 - 6*v**2 + 4*v - 1. List the prime factors of l(p).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j - 5*s + 11, 2*j = -3*j + 3*s - 29. Let q = 0.6 + 0. Let f = q - -0.4. Sort j, f, -2 in descending order.\nAnswer: f, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -23195534 by -799846.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1905, -3.\nAnswer: -5, -3, 1905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.07*3.71.\nAnswer: 0.2597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 503 is divided by 48.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 + 11. Suppose n + 0 = 4*p - 5, d*n = 5*p + 2. Let s = 5 - n. Calculate the remainder when 5 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = 4*j + 11, 2*m + 4*j = 6*j + 16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -4*a**2\/5 - 20768*a\/5 - 20764\/5 = 0.\nAnswer: -5191, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 21865849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -25  (b) 27  (c) -1\/2  (d) 0  (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 3, 4, -1, -0.3, 0.4, -6191, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 2045*y**2 - 10331*y - 15. Give x(5).\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 922 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 21 + 7 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 42\/88*-56*(-26)\/546.\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 - 3*m - 7. Calculate the remainder when h(8) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -176*t + 90*t + 118*t**2 + 91*t.\nAnswer: 118*t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-6) - 2\/(-6). Let w = -5999 - -29868\/5. Let r = w + 25. Which is bigger: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-249*o - 95*o + 72*o)*(-24*o - 4 - 3 + 7).\nAnswer: 6528*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(16)\/sqrt(2) + sqrt(8) - ((-2*sqrt(8))**2 - (sqrt(2) - sqrt(6)\/(-1*sqrt(3)))).\nAnswer: -36 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -76 - 26. Let p = r + 172. What is the greatest common factor of 28 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3464 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*k + 1 - 1)*((3 - 3 + 11*k)*(2*k - 2*k + k) - 2*k**2 - 2*k + 2*k - 2*k**2 - 9*k**2 - 3*k**2) as v + z*k**3 + o*k + c*k**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1102165 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -357 + 357. Suppose t - 2*m + 1 - 4 = g, -2*m + 17 = 3*t. Solve u + 14 = -t*c, -2*u = 3*c + u + 18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + 8 + -12 + -2 - (26 - 39)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.19 * 0.100431.\nAnswer: 0.01908189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.998 - 0.002. Is f greater than or equal to 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 14*w**3 + 10*w - 1 - 9*w**3 + 1 wrt w?\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18215 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 54511 = 54511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 8*s - 3*s - 3*m, 5*s - 20 = -5*m. Let p(j) = j - 2*j**3 - 4*j**3 + j**2 + 2*j**3 - 2 - s*j**3. What is the units digit of p(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2003 - -2007. Which is the nearest to -0.1?  (a) 5\/3  (b) -5  (c) -19  (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.038711 - 87.227289. What is d rounded to the nearest integer?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1023 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -38844, -155429, -349738, -621771, -971528?\n\"Answer: -38862*c**2 + c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 5 = 2*t, 5*t + v + 27 - 10 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-24 - -22)\/(2 - 0 - 7). Which is the second biggest value?  (a) -4  (b) 5\/3  (c) m  (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-69)\/(-15) - 18\/30. Suppose k*i + 0*i = 20. Solve 8 = -i*b + g, -3 = -3*b - 2*g - 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2310)\/(-30))\/((-8415)\/(-1020)).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 22491 = 3*r, -222*r + 227*r - 3*p = 37553. What are the prime factors of r?\nAnswer: 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 892, 1018, 1226, 1516, 1888?\n\"Answer: 41*p**2 + 3*p + 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -25493.87 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2 + 33*m - 380. Let j be z(-42). What is the fourth smallest value in -4\/55, 3, 2, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -0.032  (b) -1376  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhqqhhchqhhqhac. Give prob of sequence cc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes after 4:11 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t + 6 = 4*t. Let l be (t\/4)\/((-5)\/310). Suppose l - 5 = 2*a. Calculate the remainder when 37 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13232164 a multiple of 356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/91 and 77\/78?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (162\/(-1485))\/(43\/(-1892))\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/3*0)\/(-9877 + 9876)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1087190 - 2630.6\nAnswer: -1089820.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**5\/h*h*h\/h**12)**(-12\/7)\/((((h**(2\/7)\/h*h*h*h)\/h)\/h*h*h)**(15\/7)*(h*h*h\/(h\/(((h\/h**0)\/h*h)\/h))*h)**(-1\/22)) assuming h is positive.\nAnswer: h**(5955\/1078)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2287*t**2 + 1 - 2287*t**2 - 18*t**3 to l*t + d + g*t**3 + b*t**2 and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 856 + -856. Solve 0 = 4*w - 4*x + 16, 4*x + 9 = -w - b*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14.9 + 15. What is the closest to 1\/2 in -2\/7, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**3 + 8*m**2 + 34*m + 25. Let s be v(11). Let z be 6\/(-7)*126\/(-27). What is the greatest common factor of s and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4539453 is divided by 284.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - (4 + -20)) + (3 - 2 - 23)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 19240620 and 585780?\nAnswer: 250128060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 + 2. Let z = -114 - -119. Which is the third biggest value?  (a) z  (b) v  (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 182 a factor of 30596384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 568, 618, 712, 856, 1056, 1318, 1648, 2052?\n\"Answer: c**3 + 16*c**2 - 5*c + 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.6 + -2. Let k = -5 - -2. Let o be ((-12)\/66)\/(-2*1). Which is the second smallest value?  (a) k  (b) o  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38, -52, -56, -44, -10, 52, 148, 284?\nAnswer: 466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -24 - 28 + 12 + 7*j. Let a be g(6). Solve -v - 4*h = 7, 0 = 3*h + 5 - a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.15 - 0.15. Let i = s + 0.2. Is i greater than 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -9651, -2\/3, 2, 1\/88?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 230653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 154*d*p*q - 46*d*p + 25*d - 22*p*q - 2*p wrt q?\nAnswer: 154*d*p - 22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 + (-24)\/20 + 4. Let b(i) be the second derivative of -13\/30*i**4 + 3\/25*i**5 + 3*i - 1\/75*i**6 + 4\/5*i**3 - u*i**2 + 0. Find z, given that b(z) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 185*d**2 - 566*d**2 + 188*d**2 + 178*d**2.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2238 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2 - 3*p**2 + 2*p + 2*p**2 + 4 - 13 + 3*p**2. Calculate z(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, r: 16}. Give prob of picking 4 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-x**2 + 2*x**2 - 2*x**2)*(-14 + 2*x + 8 + 7)*(1 - x + 1 + 6*x) as n*x**4 + p + y*x + k*x**2 + s*x**3 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 - 2762?\nAnswer: -2767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-6)*(-96)\/(-368)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 179.143 litres to millilitres.\nAnswer: 179143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-54)\/4)\/((-4)\/40). Let v be 1 - 8\/((-48)\/m). Let g = v - 24. What is the biggest value in 4, g, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 52 - 55. Which is the fourth smallest value?  (a) -0.5  (b) -0.4  (c) r  (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 5 - 15 = -5*r, 3*r = -4*d - 14. Find l such that 18*l - 41*l**r + 16 + 3*l**3 + 18*l + l**3 + 65*l**2 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes after 6:32 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -122022760962 - 10.\nAnswer: -122022760972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 334, -1\/2, -10, 1\/2, 5, 30.\nAnswer: -10, -1\/2, 1\/2, 5, 30, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 - 41*f - 35. Determine o(40).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f = -2, -38*w + 40*w = -38*f + 76 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1449, -1401, -1291, -1089, -765, -289?\n\"Answer: 5*v**3 + v**2 + 10*v - 1465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the first derivative of 3*a**2\/2 - 8*a + 1. Let d(t) be the third derivative of -1\/12*t**4 + 0*t + 0*t**3 - 1 + 83*t**2. What is s(d(q))?\nAnswer: -6*q - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, -1, 4, 2, -5 in increasing order.\nAnswer: -15, -5, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:52 AM and 4:53 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (695\/15)\/((-1)\/9*-3) is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -2\/7, 7, 0, 154.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -c*z**4 + 166510*c*z**2 - 4065*c + z**2 + 17 with respect to z.\nAnswer: -4*c*z**3 + 333020*c*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*g + 20 + 0*g - 20.\nAnswer: -43*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -84155904 divided by 6.\nAnswer: -14025984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -15*v**3 - 9*v**2 + 9*v + 6267. Let i(j) = 8*j**3 + 5*j**2 - 5*j - 3127. Give -5*d(u) - 9*i(u).\nAnswer: 3*u**3 - 3192","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 100826 divided by -1?\nAnswer: -100826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 3*g - 2. Let q be z(2). Suppose q*n = -60 + 408. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 251254588?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 599255899 and 723.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 46, 34, -28, -146, -326, -574, -896, -1298?\n\"Answer: -h**3 - 19*h**2 + 52*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(6))\/sqrt(3)*1.\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2.27 from -0.3010017.\nAnswer: -2.5710017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 30212 (base 6) to base 11\nAnswer: 2a88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 723 and 2503749.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 159814801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7, -34, -103, -232, -439?\nAnswer: -742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2 - 6*r - 4. Let p be o(-4). Let z = -10 + 16. Suppose 2*i = -p*j - z, -3*i - j = -4*j - 18. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 12 = v, -7 - 5 = 4*v. Let b be (3\/4)\/(3\/324). Let a = b + -54. What is the highest common divisor of q and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = -69*k + 194*k - 1103 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 3*a - 8. Suppose t = -p, -3*t = 2*t + p - a. Solve -4 = 2*r - 4*y, 0 = -2*r - t*y + 7*y - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 106*w - 282*w + 123*w + 9*w**2 + (0 + 1 + 0)*(-3*w**2 - 2 + 2) as d + g*w**2 + j*w and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -115\/216 and (-2)\/128*15198\/153.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 491 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3149261?\nAnswer: 3149261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 87*p - 14019. Give x(145).\nAnswer: -1404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 30 and 21311040.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mtm when three letters picked without replacement from mtmmtmtmtmm.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 848 = -56*v. Suppose s - 3*s = -8. Solve s*c = -y + v, -y - 4*c = 4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1744 (base 14) to base 3.\nAnswer: -12201200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 143, -13, -165, -313, -457?\n\"Answer: 2*l**2 - 162*l + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6.461 - 6.5. Let w = 0.131 + n. Let z = w + -0.072. Is z <= 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -156 (base 7) to base 12\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1b (base 16) in base 14?\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 1 i when three letters picked without replacement from iaiiaiiaaiiai?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (90\/(-405))\/((-4)\/(-6))*15\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 12*d - 25*d = -615. What is the remainder when 61 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 50091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oyou when four letters picked without replacement from yooouuyoyyu?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(144)\/sqrt(8))**2 + 5 + ((1 + sqrt(242))**2*-1 - sqrt(242)).\nAnswer: -220 - 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25, 265, 911, 2167, 4237?\nAnswer: 7325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/4832203 or 0?\nAnswer: -1\/4832203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 4*m + 66246, 3*c + 5*m - 51414 = 14805. Suppose 5307 = 5*s - c. Let k = s - 3880. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 11*x + 3680 = 0. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cgh when three letters picked without replacement from {c: 1, g: 1, h: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2525933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence evmt when four letters picked without replacement from ehvmovtehooh.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 255 and -1.0604.\nAnswer: -270.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -3*x - 109, v - 68 = -2*v + 5*x. What is the highest common divisor of v and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*4*(sqrt(56)\/sqrt(18) + sqrt(140)\/sqrt(180))*-2.\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the first derivative of w**2\/2 + 13*w - 17. Let c be u(-11). Solve -y + 2 = -c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2400 + 9647\/4. Find the common denominator of p and (-131)\/(-3)*(-1)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.12887 to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1, 2\/11, 2\/7, -875?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 122953 - 245907\/2. Let p be (-96)\/140 + (-2)\/(-5). What is the closest to 0 in p, 2, z, -12?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -3*c + 12. Let k be d(4). Suppose k = 2*z + 5*i - 53, i + 9 - 28 = -z. What is the second derivative of -z*b - 18*b + 6*b - 13*b**2 + 0*b wrt b?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10882140 and 17085?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 47838?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124 is divided by 115.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1200)\/(-360)*((-18)\/(-10) + 0). Let k(d) = 0*d**2 + 6 - 6*d + d**2 + 0*d. Give k(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -4*t**2 - 15*t + 2. Let p(b) = 9*b**2 + 29*b - 4. Determine -3*p(c) - 7*z(c).\nAnswer: c**2 + 18*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1557 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 24 = 4*r - 0*r, 0 = 2*w - r - 9. Solve -w*k + 17 = 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*y + 20 = -2*y. Solve -n + 3 + y = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1215 and 36.\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11*v**3 - 2*v**2 + v - 203 wrt v?\nAnswer: -66*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 3*l - 177, -4*l + 266 - 46 = -4*k. Let y be (-2 - 0\/1) + 63 + k. Solve y*h + 5 = h + 4*x, 0 = 5*h - x + 14 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (44\/198)\/((-8)\/(-9)). What is the closest to -1\/5 in c, 2\/11, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cwmqjmco. Give prob of sequence mwm.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add -67772384 and 15.6046.\nAnswer: -67772368.3954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = 3*t + 11. Is (2\/t*-5)\/((-5)\/465) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 divided by 2.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 143 = -142*p - 328 - 381 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15184212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes after 4:36 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -25.9 - -26. Let k = -32.1 - 3.9. Let b = 40 + k. What is the second smallest value in l, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:41 PM and 6:32 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 443045.\nAnswer: 5, 88609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 147*y**2 - 70*y**2 + 10 - 76*y**2 - 16. Let d(i) = 4*i - 35*i**2 + 36*i**2 - 4*i. Calculate d(f(t)).\nAnswer: t**4 - 12*t**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 76\/7 of a week?\nAnswer: 1824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (42\/(-525))\/((2368\/720)\/(-74))\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/489478 and 71\/2046908.\nAnswer: 22515988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -851e (base 15) in base 8?\nAnswer: -66772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*k = -48*k + 68. Solve 2*q - 2*r = 8, k*q - 2*r = 6*q - 12 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*t = 3*t - 93 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**2 + 7*b + 24. What is the units digit of l(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 72 and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 12446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 4*g - 34, 279*y + 79 = 284*y + 4*g. Which is the closest to y?  (a) 0.6  (b) 3  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 142946?\nAnswer: 2, 71473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.1701 times 2?\nAnswer: -8.3402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 638050.\nAnswer: 2, 5, 7, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 27 = 4*x, -4*c + c - 5*x + 109 = 0. Let a = 26 + c. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -6*r + 53. What is the lowest common multiple of k(7) and 89?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:34 AM and 2:29 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 99 = 91. Suppose y = 5*f + 18 - 8, -1 = -y - d*f. Let u = -29\/2 + 19. Which is greater: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**2 + 18947408*l + 44875533739808.\nAnswer: 2*(l + 4736852)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**2 + c. Let a(g) = -24*g**4 + 12*g**2 - 12*g - 32. Let o(l) = -a(l) - 12*h(l). What is the derivative of o(q) wrt q?\nAnswer: 96*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-4*(sqrt(91) + 1*sqrt(91)) - sqrt(91)))\/(3*sqrt(7)*1 + (1*sqrt(7) + sqrt(7))*1).\nAnswer: 54*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w + 18 - 34 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 1214932 = -3*z - 103474, -5*h + 3*z = -1648003. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -110.9929 + 111. Round y to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2 - 19*c - 22. Let p be j(-11). What is the highest common divisor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1703?\nAnswer: 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*j - 12 - 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 0\/1 - (-35)\/63 and -19\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4741 (base 8) in base 6?\nAnswer: 15413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 PM and 6:46 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 25 - 5 = 0. Let j(o) be the second derivative of 0 - o**2 + 3*o - 5\/6*o**3 - 1\/12*o**c. Give j(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 3*m**3 + 4*m**2 - 4*m - 6. Let u be d(-4). Let z = u - -143. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t - 7*t - 3*t - 3*t**2.\nAnswer: -3*t*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((10752\/40)\/(-14) - -20)\/((-6)\/45).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11101110101001100111001 - 1?\nAnswer: -11101110101001100111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 66443 and 5681?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2865*r**4 - 803*r**4 + 1266*r**4 + r**4 + 0*r**4 + r**4 + (4*r - 5*r - r)*(-2*r**3 - 3 + 3).\nAnswer: 3334*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**2 + v + 5. Let u be o(0). Let k be 25 + 55 + 2\/2. Let x = k + -79. Solve -j - x = -u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, u: 2, g: 2, d: 1, r: 1}. Give prob of picking 1 d and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.007976 to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 - 2*h**2 + 4*h - 1. Suppose -2*f = g - f, f = 2*g + 9. What is t(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o = -36*o + 112. Let t = -1 + 6. Suppose 5*q = 4*i - i + 47, o*q + t*i - 45 = 0. Solve 2*p + 3*p - q = w, 30 = -5*w + 5*p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**2 + 5*b + 3. Suppose -4*z = -8*z. Let r be -5*((-6)\/(-5) - z). Let c be 8 - (2 + r + 7). Determine l(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/17?  (a) -680  (b) 460  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sse when three letters picked without replacement from snnseesnessses?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 2*k + 3*o + 4, -2*o = -5*k + 20. Let s be k + (3 - 5 - -2). Suppose 0 = 5*m - s*m + 12. Sort m, -2, 3 in ascending order.\nAnswer: m, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/423 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 1 = 2. Let x(c) = -5*c - 1. Let i be x(j). Suppose -s + 40 = -5*z, 5*s - i*z = 3*s + 50. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/7 in 482, -2, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-816)\/(-306))\/((1\/(860\/24))\/(27\/30))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/2*(-3 - -13). Suppose k + 0*k - i*r = 6, 2 = 5*k + 3*r. Calculate the highest common divisor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1008351 divided by 95\nAnswer: -1008351\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -15*o**2 + 10*o - 3. Let m(w) = -30*w**2 + 18*w - 6. What is -7*g(s) + 4*m(s)?\nAnswer: -15*s**2 + 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -599 = -42*h + 661. Let p(k) = -k**2 + 31*k - 5. Let g be p(h). Solve a + 3*l = -7, 5*l = a + 4*a - g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 - 1)*(m + m - m) - 4*m - m - m - m + m - 2*m to x*m + d and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 26947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -5 + (4*(0 + sqrt(108)))**2 - (-2 + 1 + (sqrt(108) - (sqrt(108) + 1 + sqrt(108)))*3 + sqrt(108)).\nAnswer: 12*sqrt(3) + 1722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -5*t - 6 - 24, 4*t + 12 = 0. Suppose g = -q*m + 17, -5 = -5*g - m + 8. Solve 2*c = -z + 2 + 3, 0 = -5*z + g*c - 23 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**2 + 15*q - 11. Calculate r(8).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 1064*m + 5. Let s(c) = -2*c - 35. Let b be s(-18). Is z(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11435012581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3015 (base 15) to base 7\nAnswer: 41402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 37510691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -438000 rounded to the nearest ten thousand?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 1 + 1 + (63 - 3) + -40?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3d + -74a?\nAnswer: -70d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-7 - -10)*2\/(-22). Put z, 0.4, 0 in decreasing order.\nAnswer: 0.4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 66850704 and 2700?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 685825 to the power of 1\/2, to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4768 + -3195. What is the highest common divisor of k and 484?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 7) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the third derivative of o**5\/20 + 13*o**4\/4 - 27*o**3\/2 - 9*o**2 + 2. Factor j(q).\nAnswer: 3*(q - 1)*(q + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes after 1:18 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/92 and 47\/20.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 51114168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-1 + sqrt(1300)).\nAnswer: -3 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4 and 2316431?\nAnswer: 9265724","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: What is -22565 divided by 4513?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 + (320\/(-12))\/20. Which is the fourth biggest value?  (a) 0.5  (b) 2\/39  (c) -5  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*t + 6*t - 30*t)*(-t + t - 2*t)*(1 + 1 + 0).\nAnswer: 112*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(8\/3))**(-2\/41) assuming d is positive.\nAnswer: d**(-16\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1636 (base 12) to base 2.\nAnswer: 101001001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/21, -0.27, -0.1, -1\/3, -1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -2*t**2. Let r(s) be the first derivative of -67*s**3\/3 + s - 6. What is r(q(g))?\nAnswer: -268*g**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -5 - (76\/12 - 8\/(-12)). What is the closest to t in -16, 5\/8, 4, 0.2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-9)\/15 - 3\/(-5). Suppose 4*h - 5*h + 6 = f. Suppose 4 = -p, -4*p - 10 = 5*c + h. Solve c = 5*a - 2*q - 15, 2*a + 4*q - 45 = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14910.\nAnswer: 2, 3, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 70533 or 70532?\nAnswer: 70533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 + ((-3 - -3) + 1 - (-21 - -16)). Solve -4*x - 2*z - l = -2*x, 0 = 4*x - 2*z + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18872206, -37744407, -56616608, -75488809?\nAnswer: -94361010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-11)\/((-1)\/(-2)*-2). Let x = f + -9. Suppose 36 = 5*u + 4*i, -14 = -3*u + i + 11. What is the greatest common divisor of x and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -a + c?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -675.14 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzzzzpddpdzizpi. What is prob of picking 1 d and 2 z?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, -2, 1\/11, 8, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3815469547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 29910, 2\/29, 0.3, -4\/3, 1\/4, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 7025, 7026, 7027, 7028, 7029, 7030?\n\"Answer: s + 7024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -z - 3 + 11*z + 16*z**2 - 6*z + 4*z**2 wrt z.\nAnswer: 40*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -152\/303 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 606\/(-24) + 1\/4. Let m be (2\/5)\/(5\/o). Let f(x) = x**3 + 2*x**2 - 2*x - 3. Give f(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 20895 or 20863?\nAnswer: 20895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 7224.633 millennia?\nAnswer: 72246.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**2 + 8*q - 5. Let z be m(-9). Let k = -1 + 3. Let x(p) = -3*p + 4*p + 0 - k. Give x(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11890618?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 592025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 5*n**2. Let j = -41 - -54. Suppose -k + 3*u + 7 + j = 0, u + 10 = k. Let q(v) = k - 131*v - 5 + 135*v. Determine m(q(i)).\nAnswer: 80*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + 4 = -r, -6516*r + 6511*r = 3*d - 19 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 495 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*z = z + 5*d - 18, 3*d - 18 = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1f (base 16) to base 9.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (5\/3)\/((-40)\/(-48)). Let t(m) = 2*m**2 - 4*m + 3. Determine t(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2.6 and 39368763407.\nAnswer: 39368763409.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-3\/8)*o)\/o**(-21))**(-1\/6) assuming o is positive.\nAnswer: o**(-173\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-5 + 1 + sqrt(68) + 4)**2.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 938 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(2\/5))**(-15)*(q*q**0)**26 assuming q is positive.\nAnswer: q**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 892*p + 3 = 895*p. Let w(b) = -14*b**3 - 15*b**2. Let f(j) = -2*j**4 - j**2. Let i(u) = p*w(u) - 3*f(u). Suppose i(s) = 0. Calculate s.\nAnswer: -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 206211236 a multiple of 772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 451 a factor of 4886134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 2*r**3 - 7*r**2 + 32*r - 74. What is i(4)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -f + 370, 0 = -k - 0*f - f - 68. What is the remainder when 15\/(-30)*(k - 1) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + 4. Let a(i) be the third derivative of 1\/12*i**4 + 3*i**2 + 0 - 5\/6*i**3 + 0*i. Give a(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k - 3*k - v = -94, 0 = 3*k + 3*v - 84. Let z = k + 2. Calculate the remainder when z is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 71*d**2 - 23*d**2 + 32*d**2 + (-62*d**2 + 1058*d - 1058*d)*(-6 + 3 + 2) as w*d + y + v*d**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 852*d - 2 + 851*d + 2 + 852*d - 2553*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 10546965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7, 14, 3, -32, -97, -198, -341, -532?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 PM and 6:14 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 828.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Are 2 and 11\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1890141128*i**2\/7 - 6763240*i\/7 + 6050\/7 = 0.\nAnswer: 55\/30742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -14, -0.117, -4, 1, 0.5 in decreasing order.\nAnswer: 1, 0.5, -0.117, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the first derivative of 7 + 7\/3*z**3 + 0*z**2 - 10*z. What is the derivative of u(o) wrt o?\nAnswer: 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**3 - 5*u**2 + 6*u - 33. Calculate x(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 4*s - n = 5, 4*s + 2*n = -20. Let t = -1 - s. Solve 3*a - 9 = -3*y, 19 = -0*y + t*y - 3*a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4.3144 + -3706.\nAnswer: -3710.3144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 623299 is divided by 139?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2223166 - -5?\nAnswer: -2223161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -79*a**4 - 6*a**3 + 4*a + 1540. Let m(s) = -81*s**4 - 9*s**3 - s**2 + 6*s + 1541. Let x(h) = -3*g(h) + 2*m(h). Differentiate x(t) wrt t.\nAnswer: 300*t**3 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4\/7, -7\/1252, 1?\nAnswer: -7\/1252","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 165\/18 - 3\/18. Let o = -4 + g. What is the smallest common multiple of o and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(-4\/3)*x\/(x\/((x\/(x**(-1\/8)\/x))\/x)))**(-3\/7) assuming x is positive.\nAnswer: x**(-83\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1544539+2\nAnswer: -1544537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5059919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(54)\/(sqrt(9) - sqrt(9)*-2) + sqrt(6))\/(sqrt(8)\/sqrt(4)*4) + -1*(5*sqrt(3)*-1 - (sqrt(192) + sqrt(192) + 0)))**2*-4*-5.\nAnswer: 81920\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 731\/5027?\nAnswer: 731\/5027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2045*d**4 - 3789*d**2.\nAnswer: -49080*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (3 - (0 + 3)) - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**3 + 15*x**2 + x - 3. Let m be i(15). Let q = -9 + m. Put q, 2, -5 in decreasing order.\nAnswer: q, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 247524.2 years to centuries.\nAnswer: 2475.242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -145, -2 in increasing order.\nAnswer: -145, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -701*g + 156*g - 1 + 193*g - 910*g - 547*g.\nAnswer: -1809*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 154.62 - 154.5. Which is the nearest to -2\/15?  (a) 0.6  (b) v  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*r - 291774 = 15*r. Is (-2*(-1)\/6)\/(1\/r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/9 + 28\/6. Suppose 586 + f = -5*j. What is the common denominator of -97\/22 and j\/4 + 2\/(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 476316\/5502*(-7)\/(-153) - (2 - -2).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 4*z + 8. Let j be i(-8). Let r be (3\/4)\/((-6)\/j). Suppose -r*s - 2*m = -469, 0 = 5*s - 3*m - 555 - 214. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (76\/19285*-15)\/((32\/280)\/(8\/20)).\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 - 6. Let s = 0.9 - 1.7. Let x = s + 0.4. Put x, f, -5 in ascending order.\nAnswer: -5, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 468 - 462. Let j(g) = -1467*g**3 - 4*g**2 + 16. Let s be j(o). Round s to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5127439315?\nAnswer: 5, 67, 281, 54469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 3*w = -144. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1 - -7103 - (-3 + 12 + -15)?\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 2*x - 2*d - 39 = 0, -2*d = -5*x - 31. Let l be ((-357)\/(-255))\/((-2)\/70). What is the hundreds digit of (-1)\/x - 6608\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 8) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -3*h + 30. Suppose u + 18 = 5*a - 47, 5*a - 5*u = 85. Let i be m(a). Put i, -1, -4 in descending order.\nAnswer: -1, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/3*(-6)\/(-4). Let f be (-51)\/(-15) + x\/(-5). Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.06 less than or equal to 4\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-25)\/(-15) - 1\/(-3). Let u(h) = -h + h**3 - h**m + 1 + 2*h**3 + 2*h**2. Calculate u(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, 0, 5.\nAnswer: -19, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from wwpppppqppppxppqpww?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + 10 + -7 - (-4 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (72 - 64)*2\/4. Let h(g) = 164*g**2 + 136*g - 3. Let q(w) = -165*w**2 - 132*w + 4. Let p(x) = k*h(x) + 3*q(x). Find the second derivative of p(c) wrt c.\nAnswer: 322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1986499788 to the power of 1\/3, to the nearest integer?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 77, 234, 487, 830, 1257, 1762, 2339?\nAnswer: 2982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -2*q + 2621, -25*z + 24*z = 3*q - 3919. What are the prime factors of q?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*d**4\/4 - 5345*d**3 - 64005*d**2 - 191880*d.\nAnswer: -5*d*(d + 6)**2*(d + 4264)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (503*m**2 + 83306*m - 83306*m)*(2*m**3 + 3*m**3 - 4*m**3).\nAnswer: 503*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 54664 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -26404, -32346, -38288, -44230?\n\"Answer: -5942*s - 20462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -25*c**3 - 9*c**4 + 25*c**3 - 2*c**4 + 0*c**4 + 3*c**4 + (-2*c**4 + 0*c**4 + 0*c**4)*(3 - 4 + 0) + c**2 - c**2 - c**4.\nAnswer: -7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 40093, 40091, 40083, 40069, 40049, 40023, 39991?\nAnswer: 39953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*m**3 - 765*m**2 - 5860*m - 8700.\nAnswer: -5*(m + 2)*(m + 6)*(m + 145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2473, 2467, 2461, 2455?\nAnswer: 2449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 13 and -4.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1139, 2360, 3655, 5024, 6467, 7984?\n\"Answer: 37*a**2 + 1110*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = 15*n - 39*n - 33. Let v(o) = 12*o - 1. Let t(z) = 36*z - 4. What is n*t(y) + 10*v(y)?\nAnswer: 12*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 64012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in seven quarters of a day?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 5*u - 20, 38 = u + 39. Solve -x*r + 1231 = 1141 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -2  (b) -5  (c) 0.044\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 4 = 4*o + 6, 0 = 5*x + 4*o - 18. Let r = 4 - 2. Suppose 0 = r*f + 2*z - 38, 5*f - x*z - 37 = 2*f. What is the remainder when 40 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = -7*l + 3*l. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2997*t + 1502*t + 1494*t - 2.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 16 and 0.19?\nAnswer: 3.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**3 - 4*n**2 - 8*n + 5. Let c be m(5). Let i be c\/(-4) - 2\/(-4). What is the second derivative of -h**i - h + 0*h**3 + 2*h wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 83302 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 2*w**2 - 8*w - 10. Let q be u(5). Suppose 0 = -5*z - q*a - a - 3, 0 = -z - 3*a - 9. Solve z = -3*x - x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-18)*-8*(-3)\/(-38).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5473136.\nAnswer: 2, 342071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 9\/4, -57, -2, -4, 9 in ascending order.\nAnswer: -57, -5, -4, -2, 9\/4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 202 a factor of 82858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 881110 - 0?\nAnswer: 881110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*o**3 + 6*o**3 - 3*o**3)*(-86*o + 334*o - 118*o).\nAnswer: -130*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-452)\/8136)\/(2\/2).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 + r**2 + 1. Let g be w(-2). Let l be ((-4)\/g)\/(2\/858). Suppose 3*t + 168 = 5*b - 531, 0 = 4*b + 4*t - l. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (8\/(-7))\/(62\/2821*-13). Solve 9 = -c*f - z, 197*f + 5*z = 200*f + 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/(-4) - (-23)\/(736\/(-216))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6944 and 22134?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 938.8 + -939. Which is the third biggest value?  (a) 4  (b) k  (c) 117.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1\/(-2))\/(1\/(-10)). Let u be (f + 1)\/((-3)\/(-2)). Suppose -y = j - 2, 0 = -j + 2*j - y - 6. Solve -8*c = -j*c - u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence czqe when four letters picked without replacement from {o: 1, e: 1, y: 1, z: 6, c: 1, q: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Do -4 and -119\/45 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 + 8864c0c?\nAnswer: 8864c14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -4367, -8742, -13117, -17492, -21867?\n\"Answer: -4375*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -5.31 and 110?\nAnswer: 115.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -0.036846.\nAnswer: -0.147384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -5*v - 12. Let q(z) be the second derivative of -z**3\/2 - 4*z**2 - 4*z. Let h(p) = 8*q(p) - 5*r(p). Let j(k) = k - 5. Determine 6*h(l) - 5*j(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes after 11:15 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -34579 less than -1228?\nAnswer: 33351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*g - 6*g + 2*i, -i + 1 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-3)*21\/42?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of q**6\/2 - 12*q**5\/5 + 9*q**4\/2 - 4*q**3 + 3*q**2\/2 - 101. Find d such that a(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*j - 125 + 13 = 96 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2524*n**2 - 3*n + 5*n + 3*n**3 + 2528*n**2 - 18 - 4*n + 4*n - 2*n**3 + 3*n**3 - 2*n**3 - 3*n**3 + (1 - 1 + 2*n)*(-n**2 + 3*n - 3*n).\nAnswer: -3*n**3 + 4*n**2 + 2*n - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(4500)\/sqrt(3) - sqrt(15)) + sqrt(15) + (2*sqrt(1815) - sqrt(15)))\/((sqrt(600)*1)\/(-1*sqrt(800))))**2.\nAnswer: 19220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3973?\nAnswer: 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 100483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -11*k**2 - 3*k + 29. Let u(v) = 4*v**2 + v - 10. Let q(l) = 6*s(l) + 17*u(l). Is q(3) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000057 to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**2 - 12*g + 3. Let d(i) = -i - 12. Let f be d(0). Let h be s(f). What is the derivative of -3*j - h + 6 - 11 wrt j?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.61 times 0.1?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14975 divided by -2995.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f**2 + 3*f**2 - 7*f**2)*(-32 + 28 + 166).\nAnswer: -324*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*g = 28*g - 7. Solve -3*d + 5*f = 19, 2*d = 2*f - 5 - g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2255900 rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a831a (base 11) to base 12.\nAnswer: 134391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.4 - -0.9. Let w be (-1 - -1)*(0 - 1)*1. Put w, m, -0.1 in decreasing order.\nAnswer: m, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q. Let m(i) = 15182505*i**2. Give f(m(v)).\nAnswer: 15182505*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -179\nAnswer: -3\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10\/(-50)*(-2 + 0). Let g = 16.1 - 15.9. Which is the smallest value?  (a) g  (b) -1.2  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 28712506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 2*d = -15. Calculate the greatest common factor of 105 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (5 - -1) + 0 - (-99)\/(-15). What is the fifth biggest value in j, 5, -2\/7, -2\/21, 2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 32930143 - 32930143 - 5152*o + (7 - 2 - 3)*(2*o + 0 + 0) + o - 4 + 4.\nAnswer: -5147*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 + 7*m**2 - 10*m + 6. Determine r(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11 - 0. Let o = 51.9 + -62.8. Let j = o - n. Which is the second biggest value?  (a) -5  (b) 0.01  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 4425, 35647, 120389, 285411, 557473?\n\"Answer: 4460*u**3 + 2*u - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8779*n**3*q**2 - 7*n*q**2 + 8*n*q - 12*q**2 wrt n.\nAnswer: 52674*n*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 29515 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*g - 5*i = -62, -17514 + 17510 = 2*g + 5*i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 412*q**6 + 3*q**4*u**2 + 2*q**3 - 3006*q**2*u + 3*q*u**2 wrt q?\nAnswer: 49440*q**3 + 72*q*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 210 + -297. Let u = 86.999664 + l. What is u rounded to five decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 5*n = 5234, 56*i - 2*n = 57*i - 1743. Which is greater: 1746 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 - 16. Suppose h*m - 37 - 3 = -f, -4*f - 3*m + 178 = 0. Calculate the highest common factor of f and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2433?\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.3 - -0.443?\nAnswer: 6.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 186*i**2 - 22*i - 4. Is x(-1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-33*r**2 + 78*r**2 + 39*r**2)*(2*r + 0 - 2 + 248*r**2 - 292*r**2) to the form v + m*r + b*r**2 + y*r**4 + f*r**3 and give f.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvjvvjv. What is prob of picking 1 v and 2 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + (0 + sqrt(2))*6)*4 + (2*sqrt(14)*2)\/(sqrt(7) - sqrt(28)\/sqrt(4)*2))**2.\nAnswer: -640*sqrt(2) + 1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-1*sqrt(80) - (sqrt(45) + -2)*2)**2.\nAnswer: -240*sqrt(5) + 4516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -2940 at most -267656\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 101 + -26255?\nAnswer: -26154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-6)*(-8)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 8 = 2. Suppose b*c - 28 - 35 = 0. List the prime factors of 204\/c - (-4)\/14.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + 10222?\nAnswer: 10232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 3 = 0, -3*r = -8*r - d - 78. Let m be (-2)\/5 - (-414)\/r. Round m to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 + 7*k**2 - 4*k + 7. Let a(j) = -j**3 + 4. Let w be a(0). Let c be (-3)\/(-12) - (-19)\/w. Is u(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**3 + 7*h**2 - 9*h - 3. Calculate the least common multiple of 10 and u(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -2  (b) 5  (c) -32  (d) 30401\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -5*p**3 - 4*p**2 + 10*p - 16. Let f(x) = -3*x**3 - 3*x**2 + 6*x - 10. Calculate 8*f(a) - 5*t(a).\nAnswer: a**3 - 4*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -0*l + 3*l - 132, 3*j - 217 = 5*l. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:25 AM and 8:27 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-10\/9)\/r)\/r)**29)**48 assuming r is positive.\nAnswer: r**(-12992\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*h + 2*n = -2310, 5*h + n + 2*n + 646 = -2*n + 3*n for h.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(7\/4)\/q*q)\/((q**11\/q)\/q))**(3\/2) assuming q is positive.\nAnswer: q**(-87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 12 + 3*p**3 - 2*p**3 - 4 + 16. Let o be g(0). Suppose 0*l = 4*l - 240. Calculate the greatest common factor of o and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -3*m - 92. What is o(-31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -31 and 6434.\nAnswer: -199454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((3*310)\/5)\/2)\/((-42)\/((-266)\/19))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -45449320 by -428.\nAnswer: 106190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00937529 to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 45 - 79. Let v = h + -27. Which is bigger: -62 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -126264a (base 11) to base 16.\nAnswer: -2156f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r = -5*r + 6*r. Solve 5*b = 3*h - 25, r*h = -h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 75\/2 of a gram in milligrams?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 4  (b) -12  (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are -1696 and -1696 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the first derivative of 5\/2*y**2 - 5\/12*y**4 + 0*y - 32 - 10\/9*y**3. Factor v(u).\nAnswer: -5*u*(u - 1)*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3400 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 - 7)*(-7 - 3 + 6)*(-55*p - 19 - 21 + 38).\nAnswer: -1980*p - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 349 = -4*k + m, 0*k - m = 2*k + 173. Let g = -60 - k. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -f - 54 + 53 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 81491 and 2641.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 180, 2079, 7672, 18945, 37884, 66475, 106704?\nAnswer: 160557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 5*w**3 + 31*w**2 - 16*w + 14. Let h(y) = -y**3 - 6*y**2 + 3*y - 3. Let b(l) = -11*h(l) - 2*v(l). What is the smallest common multiple of 3 and b(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 3)*(-4*k**2 - 1 + 3*k + 5*k**2 - 4*k).\nAnswer: 2*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 6, f: 10, u: 2}. Give prob of picking 1 u and 2 f.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 273918, 547906, 821894, 1095882, 1369870, 1643858?\nAnswer: 1917846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 138082171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 566.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8929044?\nAnswer: 2, 3, 97, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*h**2 + h**2 + 35078*h - 35078*h.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47755 is divided by 41?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 25, 35, 39, 37, 29?\n\"Answer: -3*g**2 + 19*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.5 or 85\/7?\nAnswer: 85\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09788 - 94?\nAnswer: -93.90212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -35*z + 197. Determine n(8).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1663, 1668, 1685, 1720, 1779, 1868?\nAnswer: 1993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.04 and -0.47.\nAnswer: -0.0188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 33*g**2 + 6*g + 8. Suppose -h = 6 - 4. Is 9 a factor of s(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1309517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -797 - -607. Which is the smallest value?  (a) -3  (b) s  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of x**4\/24 + 5*x**2. Let h(m) = 10*m**2 + 7*m + 7. Let b(k) = 3*k**2 + 2*k + 2. Let o(d) = -7*b(d) + 2*h(d). Calculate g(o(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 610 and 369965.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -356*r - 49*r - 497*r + 60*r to the form k + m*r and give m.\nAnswer: -842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111*x = 221*x + 1210 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 0*n**4 - 715*n**2 + 3 + 95*n**5 - 3 + 2*n**4 + 0*n**4 wrt n.\nAnswer: 5700*n**2 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10599*w + 11645*w - 2 - 350*w**2 + 2 wrt w.\nAnswer: -700","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -93*b. Let z(r) = 5*r**2. Determine z(i(y)).\nAnswer: 43245*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = -17*r - 18 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 96 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/4*(7 + -11). Let d = 63 - w. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 13*a. Let z be ((-5)\/3)\/(100\/(-120)). Let i(q) = 6*q. What is z*m(f) - 5*i(f)?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -10*t - 94. Let y be z(-20). Let h = y - 100. Solve 0 = -10*u + 4*u - h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -19.3 - -21.33. Let o = -0.03 + k. Sort 3, o, -1 in ascending order.\nAnswer: -1, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l**2 - 3*l**2 + 3*l**3)*(4 + 6 - 5)*(-1 + 6 - 6)*(0*l**2 - 2*l**2 - 4*l**2).\nAnswer: 90*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 26*y**2 + 12*y + 3. Is v(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*((sqrt(208) - (sqrt(208) + -1)) + sqrt(208)))**2 + -3 + (2*(-3 + sqrt(208) + 0))**2)*6.\nAnswer: -144*sqrt(13) + 16476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:04 PM and 8:41 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 27 + -26.6. Let j be (-3)\/3*5*1. Let h = -10.3 + 10. What is the nearest to 2 in y, j, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 77954.5 nanoseconds to seconds.\nAnswer: 0.0000779545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(1 + sqrt(637)) + 5 + -4.\nAnswer: 2 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-18 - 0) + (-1491)\/(-80) and -1 - -1 - (-67)\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -2*v. Let i(w) = -10*w**2 - 32. Let q(z) = -3*z**2 - 10. Let o be 3 + (96\/120)\/((-4)\/(-10)). Let t(x) = o*i(x) - 16*q(x). What is j(t(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(7\/308*-4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13 is divided by (-54)\/(-13) - 8\/52?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -180403, -360807, -541211?\n\"Answer: -180404*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-6)\/4)\/(2\/(-4)). Suppose u*a - 2*a = 5*l + 27, -3*a = -2*l - 133. Let k = a + -32. Is k greater than or equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 682 + -669. Put -8, z, 4 in decreasing order.\nAnswer: z, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10039 * -0.2.\nAnswer: 2007.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2945 = -111*y + 194 - 690 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 7\/(21\/(-12)) - 19\/(-5). Do s and -170 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 + 1)\/(-3)*-2. Suppose -5*x + 40 = -b*u, u + 4 = -3*x + 17. Calculate the lowest common multiple of x and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(378)*1)\/(sqrt(6)\/sqrt(2)*2))\/(3*(sqrt(242) + -4*sqrt(242)*-2)).\nAnswer: sqrt(7)\/198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m**2 + 3*m**2 + 0*m**2)*(0 + 6 - 4) - 35*m**2 - 10*m**2 - 16*m**2.\nAnswer: -55*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(160))\/sqrt(8) + -5.\nAnswer: -6*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 164\/287 + (2\/(-5) - 52244\/2590).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes before 6:21 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3\/(-8))\/((-3)\/2). Let z = -607\/5 - -121. Let m = 25.463 + -25.563. What is the nearest to m in a, z, 11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5763 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 0 - 1)*(2 - 5 + 0)*(g**2 - g**2 - g**2) to t*g**2 + p*g + c and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (4 - 5)*213\/6*-2 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8\/9 + 11\/9. Which is the nearest to 0?  (a) -4  (b) x  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 take away -86.001?\nAnswer: 85.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 83372124 to the nearest integer?\nAnswer: 9131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 88965832 to the power of 1\/3, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 348, 707, 1066, 1425?\n\"Answer: 359*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -28, -112, -254, -454, -712?\n\"Answer: -29*x**2 + 3*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 440 + -367. Calculate the remainder when s is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 3511948*g. Let b(f) = -3*f**2. Give m(b(a)).\nAnswer: -10535844*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/60 and -119\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the first derivative of 2*j**3\/21 - 2*j\/7 + 4. Suppose p(g) = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 696*l + 16281 = 8417 - 10232 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3\/5, 80, -2, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 7*b**2 + 21*b - 32. Let g(o) = -13*o**2 - 41*o + 62. Let j(i) = 6*g(i) + 11*t(i). Let q be j(-9). Which is bigger: 75 or q?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**3 + 4*p**2 + 2*p + 4. Let n be z(-3). Solve 71 = 10*q + n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -111\/7  (b) -2  (c) -3  (d) 3\/8  (e) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 + 18*w**2 - 24*w - 52. Let q be ((-18)\/(-63))\/(-1 - 228\/(-224)). What is the remainder when 834 is divided by o(q)?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 862 is divided by 206?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -81 - (-71 + 12) - (-1 - 5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 7*z**2 - 44*z + 1267. Is 3 a factor of t(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 152244823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 11*w**2 + 13*w + 12. Let u(j) = -6*j**2 - 7*j - 6. Let i(c) = -3*k(c) - 5*u(c). Let a be i(4). What is the units digit of (28\/a)\/((-1)\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/2*6\/7*56\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/45 + (-1054842)\/(-65745).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 181112179?\nAnswer: 3533, 51263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-76)\/114*9\/2. Do 8 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/4, -0.5, -1, -2, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-4 - (2 + 3)) + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mfncnyy. What is prob of sequence nyn?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 y when three letters picked without replacement from {y: 2, o: 5}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 357 divided by 17.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -4*p + 14. Suppose 0 = 4*j - 2*r + 24, 25 = 5*r + p. Let s = j - -9. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 81?  (a) 2  (b) -5  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-266)\/(-28))\/((153\/18)\/17).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 306*x + 42101 = 47609 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -4, 2, -58, 1 in descending order.\nAnswer: 2, 1, -0.4, -4, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyy. Give prob of sequence yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:05 PM and 6:46 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-97)\/291*(-14)\/4*2?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**3 + 19*o**2 - 16*o + 73. Give s(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 408551625?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -2855834501 to the nearest one hundred thousand.\nAnswer: -2855800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 - 389*o**2 + 116*o - 45114. What is h(389)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 - 17076558319718?\nAnswer: -17076558319718.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -34603 or 0?\nAnswer: -34603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - -1103?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 120011121 (base 3) to base 4.\nAnswer: 2230303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1714740?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((339448\/(-453))\/(-281))\/(4\/21)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (120\/80)\/(6\/272). Solve 10*x - a*x = -174 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -660 + 0?\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**2 - 3 + 2 + 26*m**3 - m**2 - 2*m**3 - 2*m. Let a be l(-1). What is the remainder when a*(-3)\/(15\/2) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p**3 - 3*p - 3*p**3 + p)*(-p + 3*p - 13*p) - 3*p**4 + 5*p - 5*p + 3*p**4 - 2*p**4 - 4*p**4.\nAnswer: -17*p**4 + 22*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -0.1, 796564, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -126440*d**4 - d**3 - d**2 - 233448*d - 1.\nAnswer: -3034560*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*(-24)\/(-250))\/((-1712)\/642*(-27)\/180)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -31.02 - -3.22. Let t = 32.19 + x. What is t rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4418992470.\nAnswer: 2, 3, 5, 2917, 50497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2 + 84*t - 451. What is the remainder when 92 is divided by r(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -56, 0.078, -0.01, 2\/7 in ascending order.\nAnswer: -56, -0.01, 0.078, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:56 PM and 6:56 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = p - 4*p + 84, -5*a + p = -116. Suppose -a = -2*u - u. Calculate the remainder when 2\/(-7) + 200\/14 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes after 5:13 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**2 - 10*n + 2. Let i = -26 - -36. Let w be r(i). Suppose 15770 = w*a - 5030. What is a rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2182771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/8841 and 143\/84.\nAnswer: 35364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 416 - -2*(-14)\/(-7). Calculate the greatest common divisor of m and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -123 + 120. Suppose -4*w + 20 = 8. Put w, -2, o in ascending order.\nAnswer: o, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 245 divide 566784960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand a - a + 2*a**3 + (5*a - a - 2*a)*(a**2 - 4*a**2 - 9*a**2).\nAnswer: -22*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -3*x**2 - 3*x + 2. Let t(b) = 2*b**2 + 3*b - 2. Determine 4*t(i) + 3*u(i).\nAnswer: -i**2 + 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 48, 1152, 0 in descending order.\nAnswer: 1152, 48, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -51*o + 15. Let c be l(10). What is the common denominator of -9\/20 and c\/18 + -1 + 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -6*m + 3*m. Let r(s) = -s**2 - 4*s - 2. Let h be r(m). Let f = 40 - h. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2, -0.3, 84, 0.07?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 + 23. What is the highest common factor of m and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 14\/2 - (-6)\/(-2). Suppose 5*n - 2*o = 117, -i*n + 3*o = 7*o - 116. Suppose -5*f - 3*a + 51 = -34, -n = 5*a. Solve f = l + 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 x when three letters picked without replacement from {g: 2, h: 3, e: 2, q: 11, x: 1}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 556 + 1523 - 399 = 16*m. Let r(n) = 21*n**3 + 2*n**2 - 2*n. Let d(t) = -1092*t**3 - 105*t**2 + 105*t. Calculate m*r(j) + 2*d(j).\nAnswer: 21*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 7 - 1)*(-2*u - u + 4*u) + 0*u - 9*u + u as x + n*u and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/12)\/((-18)\/(-16)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 7, x: 5}. What is prob of picking 1 p and 1 x?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 4:51 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of -2 - 1\/45*h**5 + 13*h**2 + 13*h - 4\/9*h**3 - 1\/6*h**4. Let s(u) be the first derivative of q(u). Factor s(g).\nAnswer: -4*(g + 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 109, -3, -6073 in decreasing order.\nAnswer: 109, -3, -6073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 313 + -286. What is the third derivative of -64*i**3 + 25 - 6*i**2 + m*i**3 + 7*i**2 + 3*i**3 wrt i?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 942893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 58103 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes before 3:25 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the third derivative of 0*w**4 + 0 + 1\/224*w**8 + 1\/80*w**6 + 0*w + 0*w**3 + 11*w**2 - 1\/70*w**7 + 0*w**5. Factor l(r).\nAnswer: 3*r**3*(r - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 2*q = 1931, -4*h - 5*q + 397 = -5*h. Let o = h + 680. List the prime factors of o.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 1921*j**3 + 6*j**2 + 7*j + 10. Let i be 4 - 2\/(-4)*-18. Let n be r(i). Round n to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - ((34 - 42) + 29 + -6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -118 - 13528?\nAnswer: -13646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 - 15*s**2 - 14*s + 7. Let g be k(-14). Let u(w) = 65*w - 2. Is u(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*m + 2210 = 1680. What is the highest common divisor of 3392 and m?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 9\/3*(-94)\/3. Let w be 2*(5 + -2) + c\/16. What is the closest to 2 in 3, w, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 370.\nAnswer: 1\/370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85 + 43 = 4*m. Suppose 6*p = 2*p + m. Solve -x - 3*j - p = 0, -20 = 3*j + 2*j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 + 6*f**2 - f + 1. Let c = 37 + -31. Determine k(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 25 + 1 + (-168)\/14. Let y(f) = 13*f + 2. Let j be (3\/9)\/(5\/30). Let o be y(j). Calculate the highest common divisor of b and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 122 and 23546?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 7\/4 of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(-4)*t*t)\/t**(-2) assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2371314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 1 + 2, 5*u = -3*g + 17658. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 - -13. Solve -5*t = 2*p + 35, 2*t - p - g*p = 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -3*a + 2*h, 5*h - 28 + 8 = 5*a. Let g(b) = -b**2 + 8. Let z be g(a). What is the greatest common factor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5634698061 + -3\nAnswer: -5634698064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 607 (base 14) to base 10\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82773 = 6597*m - 379017 for m.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2*15\/100)\/(36\/(-100)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -713, -1397, -2049, -2669, -3257?\nAnswer: -3813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 35585.16 rounded to the nearest one hundred?\nAnswer: 35600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 671701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-3)\/(-6))\/((-3)\/36). Let o = -12 - u. Let h(t) = t**2 - 2*t - 6. Let l be h(o). Calculate the greatest common divisor of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7515000 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74*m = -75*m + 23. Suppose -26*j + m*j + 357 = 0. What is the units digit of (-30)\/20*(-1 + j\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*n + 56*n - 155232 = 15*n. Is 28 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k**3 - 9*k**3 + 2*k**3)*(-2 + 2 + 2*k) + (0*k**2 + k**2 + 0*k**2)*(-32 - 17 - 4*k**2 + 67).\nAnswer: -14*k**4 + 18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sum -338 and 644.\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (0 - 6) + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98*u = 258*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -2 + (-4 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -59 + 83. Suppose 0 = -p + 5*q - 8 + b, 5*q - 2 = -2*p. Suppose 2*h = p*h. What is the nearest to 0 in -0.3, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 51.6 + 1319001122\nAnswer: 1319001173.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -4*i**2 - 5*i. Let w(a) = 3*a**2 + 4*a. Let n = 524 + -522. Let q(c) = 3*c - 15. Let d be q(6). Calculate d*w(l) + n*b(l).\nAnswer: l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fbobsbovbbbsssoq. What is prob of sequence so?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, -239, 294.\nAnswer: -239, -2\/3, 294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 - 1\/(-1*1). Let t = -120 + 120. Let n(z) = 189*z - 1133. Let r be n(6). Sort 5, r, m, t in descending order.\nAnswer: 5, m, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/36*3)\/(5\/20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*b + 2*g = 320, -5*b + 60884*g - 139 = 60886*g for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -40 - -118\/3. What is the third smallest value in -5, q, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -5*j**3 + j**2 - 21*j - 21. Let r be x(-1). Solve t - 5*c - r = -13, -t + 2*c - 1 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -483800 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 36977402 minus 0.1924?\nAnswer: 36977401.8076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**3 + 9*y**2 - 10*y - 14. What is l(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - 131031302013?\nAnswer: -131031302021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 330645 by 35.\nAnswer: 9447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3852498.\nAnswer: 2, 3, 13, 49391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the second derivative of -q**7\/336 + 7*q**6\/240 - 19*q**5\/160 + 25*q**4\/96 - q**3\/3 + q**2\/4 + 85*q. Let a(z) = 0. Calculate z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 154279 is divided by 25711.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*l = 36*l - 12. Find the third derivative of 0*s**2 - 79*s**2 - 73*s**2 - 9*s - 8*s**l - 193*s**3 + 8*s wrt s.\nAnswer: -1158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 86825 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + z + 19 + 13 = 0, z + 20 = -3*i. Let b be (-4)\/i + 498\/9. Suppose 0 = -p - o + 2*o + 16, 5*p = -3*o + b. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -4, -3, -2, -5, -1.38, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 26565 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 622, 620, 618?\n\"Answer: -2*r + 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 311946 is divided by 155880.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*x - 290 + 407 = 0. Sort -41, -12, 5, -4, x in descending order.\nAnswer: 5, x, -4, -12, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.05 or -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -541 - -556. What is the highest common factor of 40 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -x - 2*u + 8, 2*u = -2*x. Suppose -350 - 30 = -5*r. What is the common denominator of 29\/18 and x - r\/(-20) - (-1382)\/60?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 + 4 - 5 + 2)*(270*u - 16266 + 16266) to z + w*u and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.2 + -3. Let o = v + -0.15. Let z = -2.05 + o. What is the third biggest value in -2\/7, z, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30113 (base 4) in base 7?\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 8420 take away -2801922473.4?\nAnswer: 2801930893.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1894 - 915. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 - 17?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 156803\/188 or 834?\nAnswer: 834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -353.97 + 356. Let k = -4 + 3.97. Let f = k + m. Which is the nearest to -0.1?  (a) -2  (b) f  (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 29b64c - -d1?\nAnswer: 29b73d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 1 + -1 - -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/20 and -37\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 27 = t + 36, 0 = -2*y - t - 9. Let w = -3468\/3913 - -40\/43. Are y and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -421*w - 233*w + 401*w - 504*w.\nAnswer: -757*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 3 l when four letters picked without replacement from {h: 2, l: 1, c: 5, q: 9, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 - -10. Suppose o*w - 14 = 2, 0 = -a + 4*w - 15. Is 1\/4 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11712.384 + -11713. Let h = -137 + 136.43. Let a = o - h. What is a rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -45*z - 4806. What is r(-104)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 26*t**6 - t**4 - 58603*t**3 + 427*t**2 - 32581*t.\nAnswer: 3120*t**3 - 24*t - 351618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -247, -584, -1491, -3250, -6143?\nAnswer: -10452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 76474.1909 to the nearest 10.\nAnswer: 76470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26292, -1\/3, 0.5, 0.24, 5\/2.\nAnswer: -1\/3, 0.24, 0.5, 5\/2, 26292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2812543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 7 = -1. Solve b*k = 5*k - 5*z + 13, -4*z + 8 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 189641960 is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.3 - -0.7. Let v = -0.3 - 0.94. Let x = v + 0.24. Sort -5, x, d in decreasing order.\nAnswer: d, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2332*n**4 - 6*n**3 - 34465 with respect to n.\nAnswer: -9328*n**3 - 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 115 divide 238749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 97 - 58. Let m = -36 + b. Let h be (m\/12)\/(-2 - 30\/(-8)). Is h > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 9\/703490?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 32678 + -31532. Calculate the greatest common divisor of a and 23302.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1960\/3 + 7843\/12. What is the closest to p in 0.3, -535, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -301 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 3 = -4*j, -28 = r + j. Let m(n) = -4*n + 24. What is the units digit of m(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1151.877058 rounded to 1 decimal place?\nAnswer: 1151.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o = -q + 4808 - 4804, 5*q = 22*o + 114 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -2*r**3 - 20*r**2 + 9*r + 9. Let g be c(-12). Calculate the highest common factor of 53 and g.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 1.8.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1029581.\nAnswer: 7, 147083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**2 - 10*y + 11. Calculate v(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 15 = -u + 56, -4*u - z = -250. Suppose 3*q - 8*q + 35 = 0. What is the greatest common divisor of u and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -5*b + 17. Let h(t) = -t + 2. Let q(s) = -4*h(s) + r(s). Let g be q(7). Solve -3*f - 1 = g*o + 2*f, 2*o - f = 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8 + 3 - 1)*(-2*m - 2 + 2)*((4*m - 2*m + 0*m)*(-2 + 3 + 0) - m + m + m) to the form z*m**2 + w + l*m and give z.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -4*g**2 - 2. Let m(a) = 5*a. Let u be m(-1). Let f(l) = -l + 1. Let p(b) = 7*b**2 + 4*b. Let n(c) = -4*f(c) - p(c). What is u*k(j) + 3*n(j)?\nAnswer: -j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1278?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6798*b = 6800*b + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -41 - 11277408?\nAnswer: -11277450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -l*s*v**3 - l*s*v**2 + 16*l*s - l*v + 116*l + s + 829*v**4 wrt v.\nAnswer: -6*l*s*v - 2*l*s + 9948*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -2*r**2 + 39291. Let y(l) = 3*l**2. Calculate s(y(x)).\nAnswer: -18*x**4 + 39291","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*k + k**2 + 2795*k**4 + 82*k**3 - 2 + 73*k**3 - 2796*k**4 - 65*k**3 - 2*k as p*k**3 + a*k + r*k**2 + v + b*k**4 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-63)\/(-36)*-2 + (-3 - -6). Let u = -4.3 - -4.3. Is r smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 419410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0124 rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 + 397?\nAnswer: 39c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 6 + 5*s - 12 - 6*s - 4*s**4 + 2*s**2 to d*s**2 + p*s**3 + k*s**4 + w*s + y and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1372 + -925. Calculate the common denominator of -149\/42 and (-4)\/(-20)*2 + r\/45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - g + 17 = 0, -17 = 40*c - 43*c - 4*g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 9989.025  (b) 6  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -628 (base 11) to base 5.\nAnswer: -11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/21))**(-40)*((y*y\/y**(13\/2))\/y)\/(y*(y*y**(-34))\/y) assuming y is positive.\nAnswer: y**(1075\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j + 0*g + 4*g = 6, 2*j + 3*g = 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -116655 divided by 7\nAnswer: -16665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**3 + 11*r**2 - 9*r + 39. Let j be t(-12). Solve 5*v + 30 = j*x, 2 = -16*x + 14*x - 4*v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 54\/(-72) - 22*(-3)\/(-8). Sort 3, -5, t in increasing order.\nAnswer: t, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40436860711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -1\/2  (b) 0.1  (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 + -606244461?\nAnswer: -606244464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-148)\/(-120) - 4\/3. Which is the closest to 0.1?  (a) -4  (b) 2  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -918750 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*q = 65*q - 585 - 4078 - 709 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the second derivative of 47*f**4\/12 - f. Let w(a) = -1595891*a**2 + 3 - 3 + 1595892*a**2. Determine u(w(h)).\nAnswer: 47*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -150 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 36 and 36351.\nAnswer: 1308636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 11*g**2 - 3*g + 2. Let c be w(1). Let f(a) = 0*a + 23*a + 5 - 24*a. Give f(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -1 + 1*sqrt(2736) + 4 + (1 + (sqrt(2736) + sqrt(2736) + 2*sqrt(2736))*-5)*5.\nAnswer: -1188*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11\/(-44)*1 + 34\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -159 + 205. Suppose h*l - 402 = 44*l. What are the prime factors of l?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eebb when four letters picked without replacement from eebbe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/4 + 18*4\/(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 45*t + 1. What is the units digit of n(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31454, 31453, 31450, 31445?\nAnswer: 31438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 2*u = -0*v + 2216, -5*u + 10 = 0. Let m be ((-20)\/(-6) - 3)\/(3\/v). Let d = m + 61. Which is the closest to 0?  (a) 0  (b) d  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 13.735 to zero decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1 times -1.46807\nAnswer: 1.46807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13127, 26653, 40179, 53705?\nAnswer: 67231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -11022210 (base 5) in base 6?\nAnswer: -2013121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -22\/19 or 2\/5?\nAnswer: -22\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 101577779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 22, 10, -12, -44, -86?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - 2*r = -10, 0 = 3*r + 3 + 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 + 13. Suppose -2 = u - q. Suppose 2*c - u*c + 46 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-3)*36\/(-8). Let q(g) be the third derivative of g**4\/24 + g**3\/6 - 2556*g**2. Let c(w) = -2*w**2 + 5*w + 3. What is x*q(p) - c(p)?\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 8 - (2 + -4 + (-7 - 0)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 226*n = -90*n - 23113 - 4565 + 7138 for n.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1\/10, -3, 12156?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 151124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-95)\/60 + 2\/8 + (-1617)\/(-1323). Let t(c) = c**2 + 4*c - 2. Let p be t(4). What is the smallest value in 0, p, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 22265 + -65?\nAnswer: 22200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1 + 140 + (-39 - -31) is divided by 70?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 566 (base 16) in base 13?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25 + 11831*w - 25 - 1425*w to a*w + l and give a.\nAnswer: 10406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 20, 40, 60, 80, 100, 120?\n\"Answer: 20*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 6 + 12)*(z**2 - 2 + 1 - 2*z**2 + (-5 - 11 + 0)*(-2*z**2 + 0*z**2 + 0*z**2)).\nAnswer: 465*z**2 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-7)\/(21\/(-18)) - (-21 + 24). Let h = 8 + 4. Sort u, h, -3 in ascending order.\nAnswer: -3, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*x - 504 = 16*x - 75*x. Solve 2*j + 7*a = x*a + 9, 2*j = 5*a - 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 7*x**3 + 6*x**2 + 5. Let r(k) = k**3 - k + 1. Let j(d) = a(d) - 5*r(d). Let s be j(-2). Sort s, 0, -3 in descending order.\nAnswer: 0, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-139*k**3 + 4*k**3 + 14*k**3)*(-77 - k + 69 - k) to the form u*k**4 + r*k + w*k**2 + q + o*k**3 and give o.\nAnswer: 968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1938257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 714736 and 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/5)\/(-2 + 39\/15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4*b*y + 39*b + 5*y**3 + 32*y**2 - 744*y - 2199326 wrt y.\nAnswer: -4*b + 15*y**2 + 64*y - 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(275) + -1*sqrt(275) + sqrt(275) + 2)*-2.\nAnswer: -30*sqrt(11) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rjs when three letters picked without replacement from {r: 5, s: 3, j: 3, n: 1}.\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.393 and -0.4.\nAnswer: -0.1572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 10) to base 3\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81571 is divided by 1943.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -543 or -566?\nAnswer: -566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d + 2*d + 6*d - d + 0*d + 4*d + 2 + 2*d - 2 + 0 + 0 - d + (0 + 0 + 2*d)*(-3 + 0 + 2))*(d + d - 4*d).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 5*n - 40 = 0, 48 = 6*w - 11*w - n. Let v be 120\/15 + (-3 - w). Let u(b) = -b**2 + 17*b - 20. Give u(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + 2 + (sqrt(52)\/sqrt(2))\/sqrt(2)*3 + (sqrt(104)\/sqrt(4))\/sqrt(2)*-2)**2 + -1)*4.\nAnswer: 112 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*l + 2*l - 5*l)*(3*l + l**2 - 3*l) + (1 + 176*l - 723*l + 213*l - l**2)*(1 - l - 1) as s + r*l + n*l**3 + b*l**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/30 and -37\/11484.\nAnswer: 57420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.248  (b) 3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 5*n - 39, 3*n - 24 = 4*s - 7*s. Suppose -n*a + 76 = -5*a. Suppose -2*d = d - 285. What is the highest common divisor of d and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -606 (base 7) in base 14?\nAnswer: -176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 151927?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 291849, 583700, 875561, 1167438, 1459337, 1751264, 2043225, 2335226?\n\"Answer: d**3 - d**2 + 291847*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 2809767 divided by 3\nAnswer: 936589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -13*a**3 - 5*a**2 + 5*a + 7. Let j(h) = 7*h**3 + 3*h**2 - 3*h - 4. What is -5*j(s) - 3*r(s)?\nAnswer: 4*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 52592195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -225, -227, -229, -231, -233?\n\"Answer: -2*m - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-62 + 43 - 77 - 39)*(-8*o**5 - 45*o**2 + 45*o**2).\nAnswer: 1080*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2161, 2026, 1869, 1684, 1465, 1206?\n\"Answer: -g**3 - 5*g**2 - 113*g + 2280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 - -0.0534.\nAnswer: -2.9466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 344652 and 8952?\nAnswer: 689304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 47895 and 195.\nAnswer: 622635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 180809412*q*t**3 + 262925*q*t + 1050 wrt t.\nAnswer: 1084856472*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (121 - 218) + (-6 - -13) + -9 - -19.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 23 in -2, 596, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*k*k*k**(3\/4)*k*k*k\/k**(1\/9)*k*k\/(k**5\/k)*k**(-1\/3) assuming k is positive.\nAnswer: k**(155\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 4*u = -14, 7*c - 9*c + 3*u = -10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -7 + 2 + b**2 - 53*b + 58*b - 3. Let o be z(-7). Suppose 0 = -o*g + 3*g. Solve -5*w - 15 = g, -4*w = 2*l + 35 - 13 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3635987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m - 9. Let o be c(-8). Let g = -0.24 + -1.46. Let t = -0.7 - g. Put o, t, 3 in decreasing order.\nAnswer: 3, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -24*l - 326 + 38 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*s**4 + 24*s**4 - 5*s**4 + (2*s + 0 + 0)*(s**3 + 0*s + 0*s))*(3*s + 3*s - 4*s).\nAnswer: 26*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wkwwrxkwxxxxkwkxxrr. What is prob of picking 1 k and 2 x?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 311e9 (base 16) to base 7.\nAnswer: 1465366","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-6) - 44\/(-3). Let s = r - -18. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -1055*l - 975. Calculate the least common multiple of k(-1) and 400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = 7*x + 3*q, 8*x - 3 = x - 0*x + q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30 + (-28 - -10 - -27).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -11116.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, 2, -0.3, 5\/7, 5, 0.1 in increasing order.\nAnswer: -10, -0.3, 0.1, 5\/7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 14633 divided by -2941\nAnswer: -14633\/2941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 190?  (a) 4  (b) 2\/43  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 + 5\/3 + -3. Let j = 5 - 3. Which is smaller: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3769 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, -2\/5, 1.038, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the third derivative of 5\/6*i**3 - 1\/12*i**5 - 11*i**2 + 0 + 0*i - 5\/12*i**4 - 1\/60*i**6. Is d(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 90*h**5 + 69*h**4 - 21*h**3 - 18*h**2 = 0?\nAnswer: -2\/3, -3\/5, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 81\/165 + 40\/(-440). What is the second biggest value in 637\/10, 2\/3, d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*h**2*s**2 - 2*h**2*s + 54*h**2 + 136*h + 9395*s**2 + 7 wrt s.\nAnswer: 16*h**2*s - 2*h**2 + 18790*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes after 12:46 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2 and 67757333806034?\nAnswer: 67757333806032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3055)\/141*24\/(-20). What is the highest common factor of r and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -174, -239, -212, -93?\n\"Answer: 46*o**2 - 203*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 57298 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -929, -1910, -2887, -3860, -4829, -5794?\nAnswer: -6755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4086804 in 0.3, 1, -1\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.5 in 4, 3, -0.56, 1, -282?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 94  (c) -2  (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -4*h - 26. Let n(i) be the second derivative of i**3\/2 + 17*i**2\/2 - 3*i. Let g be -15*19\/1425*-35. What is g*n(v) + 5*s(v)?\nAnswer: v - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 5 = 3*s - 3*j, 3*s + 4 = -4*j. Let g(t) be the third derivative of t**4\/24 + 6*t**3 - t**2. Is 18 a factor of g(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3\/40 and 46\/1715.\nAnswer: 13720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.469 + 2.48191. What is t rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*g + 88 - 88.\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 106780 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 923729 and 6834?\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 855.6679 to the nearest ten.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0139204231 to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 - 44 - 32)*(10 - 1 - 2)*(-h**2 + 0 + 0 + (-4*h + 0*h + 2*h)*(-2*h + 4 - 4) + 2*h**2 + 4*h**2 - 4*h**2).\nAnswer: -3080*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -3*z**3 - 5*z**2 + 5*z + 6. Let c(b) = -4*b**3 - 6*b**2 + 6*b + 7. Determine -5*c(i) + 6*r(i).\nAnswer: 2*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 12*h - 436. Determine w(37).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 2*q**2 - 19*q + 19. Let f be 11\/(33\/36) - 4. Let x be h(f). Let m(k) = 22*k + 1 - 1 + 4 - 16*k. Let p(w) = -3*w - 2. Calculate x*p(d) - 2*m(d).\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2*(45\/(-6))\/(-5). Suppose -2*g - 2 = -3*c, v*g + 3 = c - 0. Let l = c - -5. Let a(b) = b**3 - 6*b**2 + 6*b - 2. What is a(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {d: 5, s: 7}?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10425320 + 10?\nAnswer: 10425330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t - 117. Let y be m(0). Let r be (-20)\/(-10) + ((-4403)\/74)\/((-2)\/(-4)). Is r at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -3*p - 2*p + 2*p + 2*p + 10. Calculate the remainder when q(0) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -151*-0.2045\nAnswer: 30.8795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 1111605080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*l + 2*l - 2*l)*(0*l - l**3 + 0*l) - 4*l**4 - 2*l**4 + 7*l**4 as f*l**3 + g*l**4 + d + q*l**2 + u*l and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = a - 323, 0*r + 4*a = 2*r + 122. Let o be (120\/(-50))\/(2\/r). Suppose -5*m - m = -o. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.3, 0.4, 2\/21, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3723718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(3630)*2*4)\/(sqrt(294) + sqrt(294)*-2 + sqrt(6) + sqrt(6) + sqrt(54)\/(1*sqrt(9)) + sqrt(6)) + 5).\nAnswer: -352*sqrt(5)\/3 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s - 2. Let m be n(2). Suppose m = 8*q - 56 - 8. Suppose -4*v - 880 = -q*v. Is v a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/68191 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x + 20*x - 10*x. Let n(h) = -h. Give n(g(f)).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + 2*z = 4. Suppose 0 = -z*n + 2*g, 0*n = 3*n + 2*g - 5. Solve 2*a - n = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1106968.\nAnswer: 2, 138371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -3\/8, 2, -3\/5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**2 - 17*t - 6. Calculate the lowest common multiple of v(-16) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -562 (base 13) in base 5?\nAnswer: -12200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 b, 1 y, and 1 u when four letters picked without replacement from bguggggbssbzy?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 4*c**2 - 2*c + 1. Let r = 57 - 72. Let s be (-10)\/r*-3 + 3. Calculate v(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -318 + 669. Let g = c + -372.36. Let m = -26 - g. Round m to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*u - 53*u - 95*u as i + m*u and give m.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6497.\nAnswer: 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -455182, -910360, -1365538?\nAnswer: -1820716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the third derivative of -5*q**8\/336 + 7*q**6\/24 - q**5\/6 - 5*q**4\/2 + 20*q**3\/3 + 4*q**2. Let d(v) = 0. What is v?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4.67839 * 0.5.\nAnswer: -2.339195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 7 - ((39 - 5) + -32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -g**2 - 1031 - 943*g + 203*g + 623*g + 9*g**3 wrt g?\nAnswer: 27*g**2 - 2*g - 117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1970968.9, 4, 3\/5 in decreasing order.\nAnswer: 4, 3\/5, -1970968.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 19208717*d**4 - d**2 - 19300*d - 216 wrt d?\nAnswer: 461009208*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 723*r**2 - 3*r - 2. Let c(y) = -725*y**2 + 4*y + 2. Determine 3*c(w) + 4*s(w).\nAnswer: 717*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-5)\/(-3))\/(3\/(5 + 4)). Suppose 5*q - 103 = -2*b, -i*q = -4*b - q + 192. Calculate the remainder when 242 is divided by b.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(252))*3)**2.\nAnswer: -108*sqrt(7) + 2277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(720) + 5.\nAnswer: 5 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - 4*x - 20, -4*x = -4*f - 0*x + 20. Suppose -4*n = -n. Factor 4*o + o**2 + f*o**2 + 3*o**2 + n*o**2.\nAnswer: 4*o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s - 13*b = -17*b + 5, 5*b = -3*s + 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in -4, -3, -2\/11, 4\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 176*t**2 - 355*t**2 + 178*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*t**2 - 27*t**2 - 5*t**3 - 20*t**2 + 70*t**2.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -3673, -3675, -3677, -3679?\n\"Answer: -2*q - 3671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the first derivative of -35\/2*h**4 + 173 - 340*h**2 - 115*h**3 - h**5 - 400*h. Determine i so that k(i) = 0.\nAnswer: -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -291.8 times 3?\nAnswer: -875.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -75 + 110. Suppose 5*z = -3*q + m, 0 = -8*q + 4*q + 5*z. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4859 and 11223?\nAnswer: 1268199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1, 75, 8\/7, 0.2, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhhhhhhhh. What is prob of picking 3 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -30942 divided by -458\nAnswer: 15471\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20*w**5 - 470*w + 470*w)*((-5 + 1 + 0)*(3 - 3 + 1) + 2 - 2 + 1).\nAnswer: 60*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 9 - 8 - (-5 + 1). Solve -2 = x*o - 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 310, 120, -0.2, 0.3, -0.15 in descending order.\nAnswer: 310, 120, 0.3, -0.15, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -547 - -303. Let n be (-7)\/((-66)\/69 + 1). Let h = n - z. List the prime factors of h.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -385 + 385. Let y(l) = -2*l - 10. Give y(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -27 - -32 - (0 + 1 + 14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 2 = -0*m. Suppose 0 = 2*k + m*k + 1228. Let u = -216 - k. List the prime factors of u.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**3 + 3*f**2 - 2*f - 2. Let h be 38\/(-14) - 4\/14. Let x be j(h). What is the second derivative of -2*m**4 - 5*m + x*m + m**4 wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001097452173 rounded to seven decimal places?\nAnswer: -0.0010975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23*n**3 - n**2 + 17*n**3 + 2*n**4 - 1 + 3 - 42*n**3 to i*n**4 + k + s*n + v*n**3 + o*n**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 1 - 2)*(-2 - 2*k + 2) + 0*k - k + 2*k + 2*k - 38*k + 77*k to l + s*k and give s.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 4*r**2 + 3*r - 7. Let j(c) = -13*c**2 - 10*c + 22. Let m(o) = -3*o**2 - 81*o + 172. Let s be m(-29). Determine s*j(p) - 7*h(p).\nAnswer: -2*p**2 - p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/20*((-1)\/(-6))\/((-576)\/960).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3842.253 rounded to zero decimal places?\nAnswer: 3842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 PM and 12:34 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 105 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in nine tenths of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -h**2 + 4*h**5 + 2*h**5 + 8*h**2 + 15*h**2 wrt h?\nAnswer: 360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 126052 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -59957*w**3 - 581*w**2 - 27223515 wrt w.\nAnswer: -179871*w**2 - 1162*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -78\/11 or -6?\nAnswer: -78\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 213 (base 6) to base 9\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 268*y**2. Let d(a) = -38267*a. Calculate z(d(j)).\nAnswer: 392449361452*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 123478887 to the power of 1\/3, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1\/2, -2\/129, 2\/7, -1\/2 in decreasing order.\nAnswer: 2, 1\/2, 2\/7, -2\/129, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a (base 13) to base 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1 - (-1)\/3)\/((-3)\/18). Let n(k) = -k**3 + 4*k**2 - k + 3. What is n(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20972 and 1743672.\nAnswer: 12205704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -0.05, 313, -5, 12, -1\/3 in ascending order.\nAnswer: -5, -3, -1\/3, -0.05, 12, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 22, 5, -2, 4.\nAnswer: -2, -1, 4, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*a - 2*a**2 + 3*a**2 + 102 + 16*a + a.\nAnswer: a**2 + 9*a + 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6156568127 to the nearest integer?\nAnswer: 78464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.16, 2.24, -8.5.\nAnswer: -8.5, 0.16, 2.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -56 - (85 + (-210 - -94))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - 17. Let q = t - -19. What is the third biggest value in -0.3, -1, q, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 5*q = -2*g - 6, g = 5*q + 6. Let w = 4 + g. Factor -k**3 + 0 + 1\/2*k**2 + 1\/2*k**4 + w*k.\nAnswer: k**2*(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**3 - 19*y**2 + 55*y + 363.\nAnswer: (y - 11)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x = 5*a - 5, 2*x - a + 1 = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -128 + 187. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(39) - (sqrt(117) + 2*sqrt(117) - sqrt(117))\/sqrt(3))\/(sqrt(243)*-3) + -5.\nAnswer: -5 + sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14019*w**4 - 3888*w**3 + 187*w**2 + 3*w - 34384.\nAnswer: -336456*w - 23328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 - 4*g**2 - 9*g + 1. Let q(i) = -5*i + 1. Let n be q(-1). Is 7 a factor of j(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h + 3*h = 45. Suppose 0 = h*w + 15, 3*d + 2*d - w = 10018. Let f = d - 476. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/(1*(-534)\/592). Is t less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 235, 246, 249, 238, 207, 150?\n\"Answer: -s**3 + 2*s**2 + 12*s + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100100101111 + 0?\nAnswer: -100100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*f + 2*u + 60190, 15*u - 11*u = 16. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -146472527 + 2?\nAnswer: -146472525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = u - 0. Let g(o) = 3*o**2 + o**2 - 117120*o - 1 + 117117*o + o**3. Determine g(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -5, -2\/5, -0.133, 8, 3, 1504, -0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 20 = -4*c, -3*c + 4*o + o = -26 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 477, 2157, 4955, 8871?\n\"Answer: 559*p**2 + 3*p - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5792 - -11113. List the prime factors of b.\nAnswer: 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*p + 871 = 39*p. Let q = -187\/5 + 37. Which is the second smallest value?  (a) 1\/7  (b) q  (c) 5  (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*(v*v\/(v**(-1\/14)*v)*v)\/v*v)**(31\/5) assuming v is positive.\nAnswer: v**(1333\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-152)\/10*(-3)\/(-6)*-15. Calculate the greatest common divisor of y and 6897.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -5005*x + 25. Let v be l(5). What is v rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1213\/3657 + -2\/1219. Sort c, -5, 0.23, 0.3.\nAnswer: -5, c, 0.23, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7\/2, 1704, 2\/3.\nAnswer: 2\/3, 7\/2, 1704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 5*i**2 + 2*i - 1. Let g be n(1). Suppose g*j + 0*j + 318 = 0. What are the prime factors of j\/(1 - (-4)\/(-2))?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 41 (base 5) to base 2\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24769 - 8253 - 8258 - 19*c**3 - 8258.\nAnswer: -19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of u**5\/20 + 5*u**4\/12 - u**3 + 7*u**2\/2 - 2*u. Suppose 0*y - t + 17 = -3*y, 0 = 2*t - 4. Is z(y) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -160\/3 or -0.4?\nAnswer: -160\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 4 = 3*r, 4*r - 11 = -0*r - 3*g. Let n(k) = -k + 4. Let q be n(4). Let d = 3 - q. Which is smaller: r or d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -4  (b) 3\/4  (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -27 + 26 + -12 + 7 - -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) 3  (c) -4  (d) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nkdknnggn. Give prob of sequence dng.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 731 and 678776?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -30779318 at least -30779317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a factor of 1844602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 6*(sqrt(588)\/(sqrt(60)\/sqrt(5)) - sqrt(49) - sqrt(49))\/(3*sqrt(7)*3).\nAnswer: -3 - 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -3*i + 104. Let l be x(0). Let f = -102 + l. Solve 0 = 3*w + 8 - f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 5*v = 8 - 25, 2*a - 13*v = 37 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90 = -0*g - 2*g. Suppose -q + 3*j + g = 0, 3*q = -3*j + j + 80. What is the greatest common factor of q and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/(-3 - 0) + 21. Let p be (-85)\/g + (-2)\/(-8). Let t = -5 + 4. Which is the smallest value?  (a) -2  (b) t  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6878 + 4402 = -1168*i + 15428 + 4288 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1687?\nAnswer: 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 24759*t**2 + 19*t - 28. Let c be m(-17). Round c to the nearest 100000.\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1*(0 + 0\/1))\/(-1). Suppose 4 = 2*z + 4*a, 6*z - 4*a - 24 = z. Suppose -z*d + j*d + 100 = 0. Does 21 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -171625 divided by 34325.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 3*q**2 + 11*q - 32. What is f(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1714, 1712, 1724, 1756, 1814, 1904, 2032, 2204?\nAnswer: 2426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.814746 + 2.9407441. Let a = -3.294 - -3.42. Let v = a - s. Round v to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2015 - -0.11.\nAnswer: 2015.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -11*j**2 - 5*j + 3. Let s = -5 - 0. Let x(c) = -11*c**2 - 6*c + 2. Let y(h) = s*x(h) + 6*m(h). Differentiate y(w) wrt w.\nAnswer: -22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*l, 4*w + 23*l = 20*l + 7256. List the prime factors of w.\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) 71968  (c) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -2*x**2 + 30*x + 358. Calculate r(23).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 30 = 8*p - 4*p, -4*p - 44 = -2*y. What is the least common multiple of y and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/5?  (a) -0.779  (b) -252.7  (c) 1\/7  (d) -0.2  (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1036912998 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the third derivative of 3*k**8\/8 - k**5\/30 + 293*k**4\/4 - 6*k**2 + 185. Find the second derivative of x(o) wrt o.\nAnswer: 2520*o**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133869 is divided by 357?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2951369467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(98) - (sqrt(98) + ((sqrt(98) + 0)*-1)**2)) + 0.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-80)\/(-24))\/5)\/((-4)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -676 + 361. Find the common denominator of -95\/48 and (-10)\/36*n\/(-3) + 4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1b + -90a0?\nAnswer: -90bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(sqrt(784) + (sqrt(784) - (2*sqrt(784)*-2 + sqrt(784))) + sqrt(784)))\/(sqrt(70)\/(sqrt(10) - (-2*sqrt(490) - sqrt(10)))*-1))**2.\nAnswer: 16515072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1100)*-1*-2 + 5*sqrt(1100)*-1)**2 + (1 + sqrt(1100)*-2 + 2 + sqrt(1100))**2.\nAnswer: -60*sqrt(11) + 11009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1701 - -2404. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 242457307.\nAnswer: 242457307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-48))\/(21\/1260*-10)*-22?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1446*h**2 - 1765*h**2 + 681*h**2 + (-h + 4*h - 4*h)*(3 - 3 + 2*h) + 2*h**2 + 0*h**2 - 4*h**2.\nAnswer: -2534*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 350630896?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 277797442 divided by 14620918.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r\/((r**19*r)\/r)*r*r\/r**(17\/3)*r*r*(r\/(r\/(r*r**4*r)))**(-3\/41) assuming r is positive.\nAnswer: r**(-2473\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 6, s: 5, a: 1, w: 5}. What is prob of picking 2 r?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1\/8, 2\/9, 1, -351, -0.08?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 459537940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50 + 3*f**3 + 24 + 26.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 2*g - 30 = 0, -5*g + 14 = -1. Sort s, 0.4, -37 in decreasing order.\nAnswer: 0.4, s, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**3 + 8*f**2 - 13*f - 11. Let v be h(-9). Let a be 1 - v - 0 - -4. Let x = 25 + a. Solve 0*u = 5*u - x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 + -1 - (-4)\/(24\/25662) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 35*i - 196. Let c be a(14). What is the highest common factor of c and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 5640*m + 6 + 1503*m to the form x + y*m and give y.\nAnswer: 7143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(3*sqrt(33)\/sqrt(3) + (sqrt(891) - (1 + sqrt(891))))*-4)**2.\nAnswer: -3456*sqrt(11) + 57600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = -12*y - 73 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 255 - 237 = -4*w, -33 = 5*w - 4*a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m\/m**(-5)*m**(-1\/3)*(m\/(m\/m**(2\/11)))\/(m\/(m\/(m*m**(-1\/3))))*(m**(-3\/5)\/m)\/(m*m**(-2))*(m**(-2\/3))**42 assuming m is positive.\nAnswer: m**(-1288\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s*(s**(2\/11)*s*s)\/s*s**(-2\/9)*s)**(5\/6) assuming s is positive.\nAnswer: s**(980\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5.3, -3, 5?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2 + 7*i + 9. Let w be x(-7). Suppose w - 55 = -2*r. Calculate the remainder when r is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1281 + 1346. What is the remainder when a is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (154*h + 32*h - 21*h)*((1 - 1 - h)*(h - 2*h + 0*h) + 45 - 8*h**2 - 45).\nAnswer: -1155*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 AM and 9:56 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sxfjxjsfx. What is prob of picking 2 x?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m - 106 + 92 = 0. Solve 3*j = -5*c + 4*j, -3*c + m = -j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 4*s + 16 = 0, 202*o + 51 + 53 = 2*s - 0*s - 102 - 194 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -422 + 425. Solve 3*m - 3 = d*z, 2*m + m - 19 = -z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1115)\/8920)\/(2\/896).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c + 4*c - 3*c)*(-4*c + 4*c + 9*c)*(37*c - 18*c + 52*c).\nAnswer: -1278*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -32?  (a) -1956  (b) 2\/7  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 3*y + 56. Let x be q(-17). Let z be 4\/(-14) + (-605)\/(-35) + x. What are the prime factors of 4\/z + 590\/55*8?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6540*k**6 - 3*k**3 - k**2 - 62760*k wrt k.\nAnswer: -784800*k**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -22596.76785 + -269?\nAnswer: -22865.76785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of s**5 - 142*s**3 + 9*s**2 + 29*s?\nAnswer: 60*s**2 - 852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -10*d - 38. Let a be r(-5). Let b be (-39)\/(-12) - 1\/4. Solve 0 = 3*n - b + a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f - 3*c - 7 + 19, -4*f + 5*c + 34 = 0. Let p = 266 - 254. Suppose f = -3*k + p. Solve 0 = -3*m + k*m + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.03 - 8228381.\nAnswer: -8228380.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 6495*l**2 - 390. Let a(b) = 67*b**2 - 4. Let k(u) = -585*a(u) + 6*o(u). Let y(x) = 8*x. Give y(k(f)).\nAnswer: -1800*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-24)\/(-15) + (-8)\/(-20). What is the greatest common factor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 6:46 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (28\/(-21))\/(((-70)\/80)\/((-9)\/(-12))).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5524503141 to the nearest integer?\nAnswer: 1768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2578393803 - 11.\nAnswer: 2578393792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1105 + 5618 = 9*b. Suppose 16*q = 7*q + b. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 15835 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31404.\nAnswer: 2, 3, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:13 PM and 1:30 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -10512971304 from -0.04074.\nAnswer: 10512971303.95926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -40*z**2. Let i(b) = -12*b. Calculate i(q(m)).\nAnswer: 480*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 78599?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*k**2 - 20*k + 26*k**2 - 13*k**2 + 20*k.\nAnswer: 33*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from ibqiffivfiibbbzi.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -0.52, -0.3, 2\/3, -36 in ascending order.\nAnswer: -36, -0.52, -0.3, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12761?\nAnswer: 7, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -565 + 577. Calculate the remainder when 32 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30 - 1) + (-48 + 22 + 22 - (31 - 35)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 2*k**2 + 4*k - 7. Calculate the remainder when p(6) is divided by 23 + (-1)\/(-1) + -1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the first derivative of -a**3 - 12. Let o(v) = v + 0 + 0. Calculate x(o(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 722 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 + 2*v**2 - 57*v + 8. Determine n(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 54133364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24737?\nAnswer: 29, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 9\/67052?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 221*j = 226*j - w, -13*w = -3*j - 310 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -b5b1b3b + 0?\nAnswer: -b5b1b3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/18 - ((-100)\/36 - -2). Let x(u) be the first derivative of 0*u**2 - g - u + 0*u**4 - 2\/5*u**5 + 0*u**3. What is the first derivative of x(t) wrt t?\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 12\/(-4)*28\/(-6). Let h = -17 + c. Is 1\/h*2466\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**1\/((j*j*j\/(j**(-2\/11)\/j))\/j))**(-1\/84) assuming j is positive.\nAnswer: j**(2\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cfwnceancnwwwnwewnf. What is prob of picking 1 e and 3 w?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -10. What is the remainder when l is divided by 7 - (-4 + 8) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9263 by 6.\nAnswer: -9263\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -9322.585171 rounded to the nearest 10?\nAnswer: -9320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 105889610.\nAnswer: 2, 5, 10588961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 1247, 28, -5, 5, 2.\nAnswer: -7, -5, 2, 5, 28, 1247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2521 divided by 830.\nAnswer: -2521\/830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14, -41, -100, -209, -386, -649?\nAnswer: -1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the third derivative of -13*y**4\/24 + 135*y**3\/2 - 1238*y**2. What is f(31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -51 - -53. Solve -2*r + r + m = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13 + -25. Let c = -282 - -281. Sort 2, c, p in descending order.\nAnswer: 2, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 93, 1\/6, 0.06, -1\/10 in decreasing order.\nAnswer: 93, 1\/6, 0.06, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together 206578136321354 and -0.2.\nAnswer: 206578136321353.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 2*t + 2 = 0. Suppose -f = -3 - t. What is the highest common divisor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 241025 is divided by 2534.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1047*b - 12219 = 26195 + 25453 for b.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -45.92 + 46. Let o = -0.075 + 3.075. Which is the fourth biggest value?  (a) v  (b) 5  (c) o  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 e, and 2 p when four letters picked without replacement from reuppee?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 594, 1097, 1618, 2169, 2762, 3409, 4122, 4913?\nAnswer: 5794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(3\/5))**(7\/4)\/(u**(-2\/23)\/u)**(2\/59) assuming u is positive.\nAnswer: u**(29497\/27140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 562\/2710 - (-20)\/(-400)*(-23 + 27)\nAnswer: 2\/271","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 - i**2 - i - 1. Let m(v) = -8*v**3 - 9*v**2 - 9*v - 8. Suppose 0 = 2*q - 7*q - 20. Let r(c) = q*m(c) + 36*b(c). Differentiate r(s) wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y**4\/5 + 28*y**3\/5 - 78*y**2\/5 - 108*y\/5 = 0. What is y?\nAnswer: -1, 0, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 167726320.\nAnswer: 2, 5, 149, 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33 + 59 + 7263*s**2 - 28.\nAnswer: 7263*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate j**3 + 31643*j**2 - 21031 with respect to j.\nAnswer: 3*j**2 + 63286*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 27070 + -2592. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1110011111 (base 2) to base 9\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -294 + 308. Suppose -787 + 3335 = n*d. What is the greatest common factor of 78 and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**2 + 10*g - 7. Suppose t + 2 + 9 = 0. Does 2 divide y(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -845, -11, 4, -3.\nAnswer: -845, -11, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes after 2:13 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29477294.\nAnswer: 2, 7, 11, 17401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 947*q - 214. What is the thousands digit of u(19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 25 = v, -5*v = -0*u - 4*u + 41 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*n**3 - 4*n**3 - 5*n**3.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 138 + -a?\nAnswer: 12d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 343 or 344?\nAnswer: 343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -2*m**3 - 14*m**2 + m - 35. Calculate the remainder when a(-8) is divided by 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29074700 divided by -2?\nAnswer: -14537350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 6) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - y + 21 + 2 = 0, 3*q + 2*y = 11 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*s + 4*i - 20, 15 = -3*s + 171*i - 168*i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 + 289143?\nAnswer: 289139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 67151, 134304, 201461, 268622, 335787?\nAnswer: 402956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 5, c: 2}. Give prob of sequence cs.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -c - 3*c + 2*c + (-c - 1 + 1)*(1 + 0 - 2)*(-225 + 62 - 134).\nAnswer: -299*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:36 PM and 2:23 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 25296 and 30566?\nAnswer: 733584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -41149 greater than -41103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -12261212.31 to the nearest 100000.\nAnswer: -12300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 74521.2nm?\nAnswer: 0.0745212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/13?  (a) 2\/11  (b) -0.08  (c) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 2 - 6 + (-2 - 1 + 1)*(2 - 2 - 1))*(-2*q**5 - 7*q**2 + 7*q**2).\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 38903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*s**3 - s**3 - 3*s**3 + (3*s**2 + 0*s**2 - s**2)*(3*s + 6*s + 108*s) + (s + 0*s + s)*(-s**2 + 2*s**2 - 2*s**2).\nAnswer: 230*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, 0.336, -3, 14?\nAnswer: 0.336","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 202 + 2032325?\nAnswer: 2032531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -437 not equal to -12401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -5*g + 1. Suppose 2*n + 4*w - 2 = 0, -6*n - 3 = -2*n + w. Let y be v(n). Let p = y - 10. Which is the closest to 1?  (a) 4  (b) p  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 120 - 115. Solve -15 = -5*h - w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7159515 decades to centuries.\nAnswer: 0.07159515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 5, -5, -134, 17 in increasing order.\nAnswer: -134, -5, 1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h + 7*h - 150. Is ((-15)\/h)\/(2\/(-344)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 34, 44, 1, -0.4 in increasing order.\nAnswer: -0.4, 1, 34, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 - -7. Suppose -2*i - 40 = -7*i. Suppose 0 = i*l - 3*l - 20. Solve l = -y, s*c = -2*y - 16 + 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*x - 1521*x**2 - 40*x**3 - 2*x**3 + 1521*x**2 as m*x**3 + p*x + u + j*x**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -34 - ((-5)\/10)\/((-3)\/12). Let y = b - -120. Suppose 42*i + y = 46*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1317 + 16?\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -6.09 from -66879801604.\nAnswer: -66879801597.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 120*b**2 - 65*b**2 - 35*b**2. Let t(x) = 19*x**2. Give t(w(i)).\nAnswer: 7600*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 39975067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 65852 and 28.\nAnswer: 460964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 934*i + 7638. Give j(-7).\nAnswer: 1100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -2250, -4435, -6540, -8565, -10510?\n\"Answer: 40*j**2 - 2305*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**3 + 10*s**2 - 9*s - 4. Let h be q(9). Let m(i) be the first derivative of i**2 + i - 31. Give m(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11717 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cpzzwkwpzzzwpkwwz. Give prob of sequence pzz.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -3*q**2\/7 - 606*q - 4239\/7 = 0?\nAnswer: -1413, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 43990939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes before 11:38 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.1 - -0.9. Let i be 6\/294*21*(-42)\/(-9) - 7. What is the third smallest value in 4, i, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 381 divide 174983334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 3468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1068 + 1075. Solve -l + 3*n - 8 = 0, l + 4*n - p = -1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -6*m**4 + 15*m**3 - 4*m**2 - 5*m + 5. Let v(h) = h**3 - h + 1. Let u(c) = -p(c) + 5*v(c). Factor u(x).\nAnswer: 2*x**2*(x - 1)*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 204.62593 - 0?\nAnswer: 204.62593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1222*((-17884)\/5960 + 3). Let s = -3\/149 - l. Factor t**2 - 1\/5*t**3 + s - 8\/5*t.\nAnswer: -(t - 2)**2*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*r - 7*r + 12*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 7376984158?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l - 3*l. Suppose l*c = -5*c. Let u be (6 - 11) + 3*1. Put c, u, -4 in descending order.\nAnswer: c, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -1  (b) 0.02  (c) 0.1  (d) -818  (e) -764  (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 66*z + z**3 - 5 + 0 - 66*z with respect to z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 518 = 11*g - 424, -2*g + 42 = -4*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12181443 a multiple of 626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u + u**3 - 2*u + 2 + 2*u**2 - 4*u**2. What is the units digit of i(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 6*m**2 + 19*m + 3. Let r(k) = 3*k**2 + 9*k + 2. Let c(s) = -2*p(s) + 5*r(s). Let g be ((-3)\/(-3))\/(1\/(-4)). What is the units digit of c(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, 0.018.\nAnswer: 0.018, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 339.1 + -346.1. Which is the second biggest value?  (a) -3\/10  (b) 9  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3737783.67 rounded to the nearest 10000?\nAnswer: 3740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 + (-33)\/(-15))*(-10)\/4. Let a be ((-99)\/27 - 2\/c)*93. Let f = a - -517. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2717 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: Calculate the remainder when 15129574 is divided by 5279.\nAnswer: 5239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z + 2*s - 8 = 0, 18*z - 23*z - 10 = 5*s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 j, and 1 a when three letters picked without replacement from fjzzawmm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*b**3 - 126*b - 116*b + 242*b.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(-1) - (-3)\/(-18)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -63\/4 and (3\/15)\/((-2)\/(-82)) - 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 6455.644 nanograms?\nAnswer: 0.000000000006455644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 11 + (-1 - (-1 - 0)). Suppose 1876 = -n*r + 15*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3150 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -c + -7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 - 3*j**2 + 5*j - 6. Let i be a(2). Suppose -3*q - 3*g = -396, 2*q + 8*g - 5*g - 268 = i. Calculate the highest common divisor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17 + 17. Suppose 0 = d - 3*w - 14, 5*d + 0*w - 2*w - 31 = t. Suppose -d*o + 196 = -99. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16 + -14.5. Let h = -0.1023 + -30.8977. Let r = y - h. What is the smallest value in 1, -1\/2, r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20 - 9 + 3)*(-k**4 + 2*k**4 - 3*k**4) - 3*k**4 + 2*k**4 + 2*k**4 + (0 - 3*k**2 + 0)*(4*k**2 - k**2 - k**2).\nAnswer: -33*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/100928 and -69\/40.\nAnswer: 504640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 + 2. Let o = -5 + 5.2. What is the closest to o in -2, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 18 = 2. What is the least common multiple of o and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -24*o**3 + 0*o**2 + 4\/3*o**4 + 0 + 0*o.\nAnswer: 4*o**3*(o - 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.494500093207 take away 24?\nAnswer: -27.494500093207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 846782167 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/((n\/n**0*n)\/n))\/(n**(3\/25)\/n*n) assuming n is positive.\nAnswer: n**(-3\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -11.2 minus 2244?\nAnswer: -2255.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -148\/7  (b) 3\/4  (c) -50\/423\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -12*s**2. Let q(z) be the first derivative of -8 + 0*z + 1\/3*z**3 + 0*z**2. Calculate q(d(k)).\nAnswer: 144*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 92598 and 207?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:06 AM and 8:26 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 - -2. Solve -5 = -3*u + a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*j + 42 - 562 - 4*j)*(-3 + 3 - 2).\nAnswer: -4*j + 1040","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 5*u = 35, a = -37*u + 22*u + 16*u - 25 + 16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 427 and 366.\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 24439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**(-6\/7)\/w)\/w)\/w**(-2\/7))**26*(w**2\/w)**(6\/13)\/(w**(-7)\/w*w\/(w\/(w\/w**5))*w) assuming w is positive.\nAnswer: w**(-5041\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 4*j + 3. Let x be 8\/(-3)*15\/(-10). Let u(z) = 4*z + 3. Let k(s) = x*u(s) - 3*t(s). Is k(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*p**4 - 2*p**4 + 2*p**4 - 4*p**4 + 5*p**4 - 17*p**4 + p**3 + 2*p**4 - p**3 + 2*p**4 - 7*p**4 + 3*p**4 + (4 - p**3 - 4)*(-2 + 2 + 3*p).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 - 280770.75?\nAnswer: -280790.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -851, 3.2368, 0?\nAnswer: 3.2368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 13532 = -4*a, -927*u - 3*a = -928*u + 3371. Is u a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 56 and 29464?\nAnswer: 206248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4447, 8894, 13321, 17716, 22067, 26362?\nAnswer: 30589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) -1.96  (c) -1  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/39162 and -83\/2928?\nAnswer: 313296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -521*j - 32*j = 77251 - 8679 for j.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 - -2. Let r(z) be the third derivative of -z**5\/15 + z**3\/6 + 6*z**2. Let y be r(f). Sort -1, y, 5 in ascending order.\nAnswer: y, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the third derivative of g**6\/60 - g**5\/12 - 5*g**4\/12 - 5*g**3\/6 + 77*g**2. Let l(y) = -3*y**3 + 7*y**2 + 15*y + 7. Give -7*k(n) - 5*l(n).\nAnswer: n**3 - 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*y**3 + 103*y + 0*y**3 - 15*y - 88*y.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 32 + 43*k**2 - 14 - 24*k - 47*k**2 - 40. Let u(q) = -q**2 - q - 1. Let l(t) = 2*h(t) - 4*u(t). Suppose l(b) = 0. What is b?\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (200\/(-12))\/((-6)\/27). Suppose -6*a + 11*a = u. Find the third derivative of 30*n**4 - 30*n**2 - a*n**4 - 9*n**4 wrt n.\nAnswer: 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -2*r + 8, 3*r + 6*b - 4*b = 7. Solve r*q - 3 = 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**2 + 44*h - 478. Let x be k(23). Solve 10*o - 29 = 5*i + 8*o, -x*o = -2*i - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2712 is divided by 903.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(13) + -3) + (5*sqrt(143))\/sqrt(11).\nAnswer: -15 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/(q**(-5\/6)*q)*q**(-3\/2) assuming q is positive.\nAnswer: q**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19793207.\nAnswer: 7, 67, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d - d + 6*d)*(2 - 2 + d) + d**2 - 3 + 3 - 2*d**2 - d**2 + 2*d**2 + (-4*d + 5*d - 3*d)*(-d + 0*d - d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 4  (b) 3  (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - r + 1)*(5 - 5 + r) + 7*r**2 - 7*r**2 + 36*r**2 + 2*r**2 - 4*r**2 + 0*r**2.\nAnswer: 33*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 4*v**3 - 8*v**2 - 31*v + 9. Let x(c) = -2*c**3 + c**2 + 4*c. Give t(s) + 3*x(s).\nAnswer: -2*s**3 - 5*s**2 - 19*s + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 740497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-1\/8)*m)**39*(m**(-5)\/m*m)**(-2\/111) assuming m is positive.\nAnswer: m**(73673\/888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 350 = 5*m. Suppose 2*i - 2*w - 1 = 7, -4*i + w + 13 = 0. Suppose u = 5*d - m, -i*d + d + 28 = -3*u. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 512 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the first derivative of -1\/3*x**3 - 7 - 9\/2*x**2 + 0*x + 3\/8*x**4. Let j(u) be the second derivative of w(u). Differentiate j(r) wrt r.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15823067?\nAnswer: 13, 19, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 85661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -34 - -64. Suppose -p + a + 114 = -154, -5*a + 820 = 3*p. Calculate the greatest common factor of p and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 578 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + 5 - (-3 - -1)) + -18.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -24584976 divided by -29692?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -5*v**4 - 24*v**2 - 4*v. Let u(k) = -9*k**4 - 49*k**2 - 9*k. Let q(f) = 9*s(f) - 4*u(f). Find the third derivative of q(t) wrt t.\nAnswer: -216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 464 - 3249\/7. Put -19\/10, -1, j in increasing order.\nAnswer: -19\/10, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 12 = d - 5*q, 0 = -q + 4. Suppose -4*h = 5*z - 34, -d*z = 3*h + h - 40. Let p be (-1)\/3 + 204\/18. What is the greatest common divisor of p and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10591660 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**3 + 31*l**2 + 216*l - 222. Give m(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1912 - 1908. Solve -2*h - 2*d - 6 = 0, -i*d - 4 = 35*h - 39*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 15 * -0.044.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 3*v + 5. Let n(x) = x. Let s(d) = -4*d - 1. Let a(l) = -7*n(l) - 2*s(l). Let b(y) = 7*a(y) - 3*m(y). What is the first derivative of b(i) wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -5*j**2. Let i(n) = -2*n + 483644. Give i(c(x)).\nAnswer: 10*x**2 + 483644","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**1)\/d**(-1\/9))**(1\/2) assuming d is positive.\nAnswer: d**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 310218 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 8*b**2 - 21*b - 81. Let g(q) = -7*q**2 + 21*q + 68. Let h(o) = 6*g(o) + 5*i(o). Let l(v) = -4*v**2 + 41*v + 5. Calculate -5*h(p) + 3*l(p).\nAnswer: -2*p**2 + 18*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (825\/1320)\/(8\/8).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 5*i - 25, 5*c = -5*i + 9 - 29. Let t(s) = -s + 3. Let w = -1 + 4. Let m be t(w). Sort c, m, -4 in ascending order.\nAnswer: c, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3798268.\nAnswer: 2, 949567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q**3\/4 - 332*q**2 = 0. Calculate q.\nAnswer: 0, 1328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/702 and -119\/260766.\nAnswer: 3389958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 132 = -129. Suppose -s*j + 177 = -141. Calculate the remainder when j is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 28?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -18 in 1\/3, -2\/11, -3, 0.3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**2 - c - 12. Let y be p(5). What is the greatest common divisor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(18) + 0)**2 - (0 + (1 + sqrt(2))**2 + sqrt(2))).\nAnswer: -3*sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the third derivative of -165*m**2 - 137\/3*m**3 + 1\/4*m**5 - m + 0 + 0*m**4. What is the derivative of o(d) wrt d?\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + 0 + 6)\/(30\/672*14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 11 + 26 = 0. Solve 5*b = -4*d - 5, -d + 2*d + 10 = -g*b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*x**2 - 3*x**2 - 69*x - x**2 + 87*x.\nAnswer: -x**2 + 18*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 396*p**3 - 2955302*p + 2955302*p.\nAnswer: 396*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -3*i - 3. Let z be c(-2). Let n(j) = j**2 - j + 2. Let g(o) = -2 - o**2 + 6*o - 1 - 16*o + 12*o. What is z*n(p) + 2*g(p)?\nAnswer: p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1751181.5 rounded to the nearest one thousand?\nAnswer: 1751000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 3*b - 6 = 0, -295 = -o - 98*b - 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121*s - 119*s + 89 = 5*f, -506 = -30*f - 2*s for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -26*y**2 - 414*y + 2571. What is d(6)?\nAnswer: -849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -646, -648, -650, -652, -654?\n\"Answer: -2*y - 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 217 < -1\/1126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 g when three letters picked without replacement from jjjgggggjgjgjj?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the first derivative of 1\/3*q**3 + 0*q - 2 + 0*q**2. Let a(b) = -3*b + 5*b + 0*b. Determine a(v(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.8 + 0.1. Let s = -0.2 - d. Which is the third smallest value?  (a) s  (b) -1\/5  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23962163 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11 - -12) + -6 - -16 - -9 - (-1 - 4).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 223586*b**2 - 2047*b - 108717*b**2 - 110968*b**2 wrt b.\nAnswer: 7802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 10:37 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.0907 - 0.2154. What is j rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.1, 0.1, 0.5215?\nAnswer: 0.5215","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -367580.7 rounded to the nearest 10000?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4221 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -146 - -58. Let p = -5 - m. List the prime factors of p.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 12 = -6*c. Suppose -3*j + 20 = j. Let h = c + j. What is the smallest value in 5, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.4977 and -459.2?\nAnswer: 687.74384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 96443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1\/3 + 7\/6. Let u be ((-1)\/(-13))\/((-3)\/(-84)) + -2. What is the nearest to -0.1 in 0, m, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-12) - 1\/(-12) - (-242979)\/(-78804)?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 445256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 2*h = -199 - 265, -5*k + 4*h + 772 = 0. What is the highest common divisor of 117 and k?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11463 + -11460. Let n(o) be the second derivative of -8*o + 0 - 5\/6*o**6 + 0*o**p + 0*o**4 + 0*o**5 - 25\/2*o**2. Differentiate n(z) with respect to z.\nAnswer: -100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes before 7:32 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, -126, 5, 120 in ascending order.\nAnswer: -126, -5, 3, 5, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15835 = -20*p + 15*p - 3*q, -3*p + 9501 = -5*q. What are the prime factors of p?\nAnswer: 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/123270 and -143\/570?\nAnswer: 2342130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -286 + 13*x**2 + 59*x**2 - 22*x**2 + 2*x wrt x?\nAnswer: 100*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q + 20. What is i(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 411776529.\nAnswer: 3, 83, 1653721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 + 2*j**2 + 15*j**2 - 3*j**2 + 13*j + 0*j. Let b be v(-13). Find the common denominator of -38\/9 and (1 + b)\/((-594)\/1494).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 381405393 to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + (-2 + -2 - (-20 + 14)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 49757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17 + -11. Suppose -3*z + 0 = -w. Find the third derivative of 17*y**5 + 3391 - 3391 + 9*y**z wrt y.\nAnswer: 1020*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -5598*x + 20. Let u be j(-10). What is u rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1248 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the first derivative of -5*a**2\/2 + 15. Let x(w) = w - 2. Let y(p) = -p + 3. Let q(g) = 3*x(g) + 2*y(g). Calculate q(b(l)).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i - 2*l + 3 = -2*i, -l = -4*i + 5. Solve -t = -5*f + 17, f = t + i - 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 573 divided by 4.\nAnswer: 573\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 4*y - 1. Suppose 0 = p + s + 10, -2*p + 7*s - 5 = 4*s. Let t(m) = -3*m + 1. Determine p*t(n) - 5*q(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8.95 + -0.95. Let k = r - 8.4. What is the second biggest value in -1\/2, k, 11\/6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 - 14*r - 46. Let a be g(17). Suppose 4*o + a*f = 6*o - 28, -4*f = 3*o - 19. Calculate the remainder when 10 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22843 + 464 = -827*d + 1805 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 - (-25 + 49 + -50 - -22).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 151*g - 106*g + 7 = 44*g - 5*c, 2*g + 3*c - 3 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5 - 39\/6)\/((-9)\/30). Let o(w) = 9*w**3 - 5*w**2 - 2*w + 5. Let j(y) = -5*y**3 + 3*y**2 + y - 3. Determine a*j(d) + 3*o(d).\nAnswer: 2*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1861503409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 + 6. Let m(f) = -4 - f**2 + 0*f - 4*f + 9. What is the units digit of m(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -5, -2, -1, 5 in decreasing order.\nAnswer: 5, 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -2*k**3 - 4*k**2 + 21*k + 4. Let h(x) = -2*x**3 - 3*x**2 + 22*x + 3. Give -4*h(l) + 3*r(l).\nAnswer: 2*l**3 - 25*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -22718 - -613460\/27. Find the common denominator of d and (1\/8)\/(27\/(-4716)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4755, -4753, -4751, -4749, -4747?\nAnswer: -4745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3147 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 597\/10 + -60. Let r = -12 + 4.2. Let h = 7.9 + r. Which is smaller: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d = 5*f, 5*f = -2*d + 8 + 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w - 100 = 2*w. Calculate the smallest common multiple of w and -9*(-2)\/12*4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.0472?  (a) -2\/7  (b) 1\/4  (c) -1\/2  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 + 8*p**2 + p - 51. Let l be w(7). Solve -l*d + 0*y = -2*y - 15, 19 = 4*d - 3*y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3 - 2\/4*-8. Let w be (-7 + (u - 0))\/(-3). Suppose 3*b = -3*q + 18, 0 = -0*b - 2*b + w*q. Solve n = -t + b, 4*t = -t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 98163 is divided by 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2974187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 229324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/18*12\/(-16)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 2*r = -0*r - 88, -4*r = 0. Let z = -16 + y. Suppose o - 8 = z. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-10) - ((-19)\/5 - -1). Suppose 3 = i, o*m - 2013 = i + 4695. Let g = -530 + m. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 greater than 9\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*b + 18 = 11*b. Let v be b\/9*(-39)\/2. Let h = v - -15. Solve 2*n + h*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3932753808?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -9*o + 6 - 6 + 5*o - 4 - 8. Suppose -3*x + 9 = -6*x. Let g be w(x). Solve -4*a = -g*a - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 2*m - 18. Let c(d) be the third derivative of 0 + 0*d**3 + 1\/12*d**4 + 0*d - 72*d**2. Determine c(b(p)).\nAnswer: 4*p - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -179 + 179. Let q(v) be the first derivative of 4 + s*v + 3\/2*v**4 + 0*v**3 + 5\/2*v**2. What is the second derivative of q(j) wrt j?\nAnswer: 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes after 12:32 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 65238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*w**4\/5 + 22*w**3\/5 + 46*w**2\/5 - 14*w = 0. What is w?\nAnswer: -7, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*j**4 + 0*j**4 + 5 - 6*j**4 + j + j**3 to u + v*j**3 + a*j + o*j**2 + x*j**4 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 15 from 0.276951.\nAnswer: -14.723049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -18 + 522*p - 521*p + 74 - 160*p**2 + 159*p**2 = 0.\nAnswer: -7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7718 and 5867210?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 4 + 5*z + 3 + 2.\nAnswer: 5*z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes before 7:08 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 2*a**2 + (1 + a - 1)*(2 + 2*a - 2) + 0*a**2 + 3*a**2 - a**2)*(-6 + 8 - 6).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011 + -10111010111110011?\nAnswer: -10111010111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15137 is divided by 15012.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h + 4*h + 1. Let j be 0 + h*(-3)\/(-6). What is the smallest value in j, -4, -2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in 0.17, 0.4, -0.5, 3\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 2*f - 16, 252*n + 19 = 248*n + 3*f. Determine v so that 9\/2 - 1\/4*v**n - 17\/4*v = 0.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10530716.3 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -559*g - 207445. Give o(-371).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*i**4\/7 - 16578616*i**3\/7 + 33157220*i**2\/7 - 16578608*i\/7 = 0. Calculate i.\nAnswer: 0, 1, 4144652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 - 12*i**2 + i + 5. Let x = -14 - -14. Suppose x = -10*d + 14*d - 48. What is the remainder when 65 is divided by s(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0035051 to five decimal places.\nAnswer: 0.00351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8779423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -0*j - 2*j. Let y = 960.2361 - 1.1361. Let t = y + -959. What is the second smallest value in t, j, -0.01, -5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -94634 by -3.\nAnswer: 94634\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1598 = 78*k + 274 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -6491, -6521, -6551, -6581?\n\"Answer: -30*t - 6461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -607 + -201?\nAnswer: -808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 + d**2 - 13*d**2 - 2 - d to q*d + u*d**2 + y and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -240  (b) 12\/25  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 79852739 and 7?\nAnswer: 558969173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1.0815003us?\nAnswer: 0.000000018025005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/35, 1, -5?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -329417*l. Let y(t) = -50*t**2 - 3. Give y(s(v)).\nAnswer: -5425777994450*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -149\/1019376 and -87\/8.\nAnswer: 1019376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3743058 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 66\/145 and 3\/25?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -4 - (5 - 6 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10047252185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 5 + (-7 - 2 - -5 - 11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 40*f - 16. Is c(4) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**1)**(-1\/11))**(-44)\/(u*u*u\/((u*u**1)\/u*u)*u\/(u*u\/((u*(u**(3\/7)*u)\/u)\/u))*(u\/(u\/((u*u**(-1)\/u*u)\/u)))**25) assuming u is positive.\nAnswer: u**(200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 6 = 0, 7*q + 8 = -2*v + 11*q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15 by 325446.\nAnswer: -5\/108482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 8) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 2*o**2 - 101*o + 425. Let w be q(5). Let l(z) = -z**3 - 30*z**2 + 2*z + 68. Give l(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3202646?\nAnswer: 2, 37, 113, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s**3\/9 + 50020*s**2\/3 - 1350686*s\/9 + 400208\/3 = 0 for s.\nAnswer: -75039, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 22*q - 91*q + 8*q**2 - 4*q**2 - 2*q**2 + 37. Let g be a(34). Solve -5*c - g*n + 11 = -0*c, 2 = 2*c + 2*n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooqoooqo. Give prob of sequence qoo.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 89 - 64. Solve u = t + 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*r - 8*r - 18672 = 0. Suppose -2*s = 2*o + o - 635, 5*s - 3*o - r = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/8007880 and -23\/1160020?\nAnswer: 248244280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - 0*t + 4. Let p(g) = g**3 + g + 2. Let w be p(t). What is the greatest common factor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*q**5 - 74*q**4 - 6070*q**3 + 32610*q**2 - 45864*q + 10584 = 0. What is q?\nAnswer: -21, 2\/7, 2, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.028 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/106 and 49\/9.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16643814, 33287626, 49931438, 66575250?\nAnswer: 83219062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 2*k**3. Let b(x) = 8*x**3 + 2*x**2 + 32*x + 40. Let s(c) = -b(c) + 5*v(c). Factor s(f).\nAnswer: 2*(f - 5)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9026 - -4 - 1\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 5*r + 79 = 0, 0 = 3*z - 0*r - 4*r - 67. Suppose -5*k + 5*b = 75, 5*k + 4*b - 12 + 51 = 0. Let d = z + k. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 22, 13, 0, -17, -38, -63?\n\"Answer: -2*v**2 - 3*v + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -411358.\nAnswer: 2\/205679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -494 + 490. Sort 0, -5, 5, g.\nAnswer: -5, g, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4*24\/(-112))\/(-3 + 0)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -265, -512, -763, -1018, -1277, -1540, -1807?\nAnswer: -2078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 - 0.6318.\nAnswer: -1.0318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 204 + -203.8. Is r < 291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 4*w - 168 = -6*z, -32 = -z + w. Suppose 0 = 2*u + z - 35. Let c(k) = 3*k. What is c(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -177, -4 in ascending order.\nAnswer: -177, -4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -107 + 179. Let y be u\/6 + -1 + 4. Solve -2*a - a = y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 194696090 divided by -5\nAnswer: -38939218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/6 + (-35)\/(-15). Suppose -4*v + z*v + 2 = 0. Suppose m**v + 7\/4*m - 1\/2 = 0. Calculate m.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * -1767.\nAnswer: -176.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.027 + 1.027. Suppose 113*n + 4*v = 115*n - 54, 0 = -4*n - v + 63. What is the closest to n in -0.4, k, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 + 0. Let q = -365 - -2161\/6. Let u = q + 10\/3. What is the smallest value in h, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(242) - (-1 + sqrt(242) + -1 - sqrt(242)))**2.\nAnswer: 44*sqrt(2) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 147\/(-42)*(-4)\/(-7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 166 + -154 + (0 - 25) - (0 + -2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from {u: 1, l: 5, x: 2, m: 3, e: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v - 5860*t = -5858*t - 14, 5*v - 4*t + 31 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 811*f**2 + 8*f - 11. Let z(g) = 2430*g**2 + 21*g - 32. Let n(l) = 8*x(l) - 3*z(l). What is the second derivative of n(w) wrt w?\nAnswer: -1604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-1 - (-1 + -2 + 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -12479 - -113008?\nAnswer: 100529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 + 0)*603\/67. Solve -3*z + 0 = v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bkgbbghhhgqhhb. What is prob of sequence kq?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-300)\/(-170) - (-15088)\/(-6970)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 81053, 80689, 80325, 79961, 79597, 79233?\nAnswer: 78869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -213541163.85 rounded to the nearest 10000?\nAnswer: -213540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13280683, -26561368, -39842053, -53122738, -66403423, -79684108?\nAnswer: -92964793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*y**3 + 8*y + 0*y - 7*y - 18*y**4 in the form h*y + m*y**2 + u*y**3 + g + c*y**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -s + 4*u - 47 + 27, 5*s + 3*u = -123 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c + 2*c - 15. Let s(n) = -6*n - n + c*n. Let v(a) = 3*a**2. Give s(v(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:00 PM and 2:08 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1775496574843 + 1775496576148.999999439. Let f = -1306 + b. What is f rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -102 - 25. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 2)*(w**2 + 2*w**3 - w**2)*(0*w + 4*w - 5*w).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -40420 + -213?\nAnswer: -41033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 264357?\nAnswer: 3, 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -2 + 0 + 0 - 5*z**2 + 9*z**2 + 7*z. Let g be x(-6). Suppose 2*k - 2*o - g = 0, 4*k - 3*o - 158 - 37 = 0. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 437410 and 527?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2e10 - 2d0?\nAnswer: 2b40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the third derivative of -m**5\/30 + 4*m**3\/3 + 2*m**2 - 9*m. Let k be b(-2). Solve 4*f - 7 - 1 = k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-57 - 0) + (-4 - -50 - 39 - (2 + 0))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -3081, -9, 125, 5 in decreasing order.\nAnswer: 125, 5, -9, -3081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -85190 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 763 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 9\/(-6) + 11\/2. Let p = 2859 - 2591. What is the greatest common factor of y and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-99*n - 317 + 317)*(0*n + 4 - n - 5)*(-2*n - 3*n + 2*n)*(-10 - 10 + n + 21) to d + v*n**3 + h*n + p*n**4 + m*n**2 and give m.\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 863467 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 - -6. Suppose 4*x - 2*i = -0*i - 38, 5*x + 45 = 2*i. Let n = 10 + x. Which is the nearest to -1?  (a) n  (b) r  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5\/2 + 6\/12. What is the smallest value in i, -2\/9, 0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1144 divide 127157138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nyiz when four letters picked without replacement from {y: 2, z: 4, n: 1, a: 8, i: 1}?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + n = -6, -2*c + 6*c + 4*n = 0. Let j be 1923\/(6 - c) - -1. Suppose 4*i - 410 - j = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2496\/260)\/48*6\/27.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/3)\/(-5)*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of -5*z**4\/12 + 125*z**3 - 2*z + 165. Find o, given that q(o) = 0.\nAnswer: 0, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*r - 18437 = -20*r - 19737 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2 - 52139*w + 260718. What is s(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 33427480 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -2*j**2 - 8*j - 3. Let k be y(-5). Let p = k - -9. Let m = 79 + p. Calculate the greatest common factor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/(-14) - 2674721\/(-3577) - 3. Let l = 745 - j. Is l greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10598 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5076.69459 + 0.22.\nAnswer: -5076.47459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4*((-9)\/12)\/((-5)\/(-10)). Solve r - 3 = -2*n, 2*n - 4 + d = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -20 + (-29 - -13 - 11) + 33.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.0814078ns in days?\nAnswer: 0.0000000000000935348125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-6)\/12)\/(2\/(-16)))\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 457937628743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {b: 1, u: 1, o: 3, x: 7, v: 4}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -936, -154, 3 in decreasing order.\nAnswer: 3, -154, -936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2 - g + 2. Let o be b(2). Suppose 2*d + o = -4*q - 3*d, 0 = 4*q - d + 4. Is (q - -22) + -1 + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*a - 4*a - 4*a)*(-2*a**2 + a**2 + a - 2*a) as q*a**3 + g*a + m*a**2 + b and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhthhhhhth. Give prob of sequence hth.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 30*a**2 + 5*a - 10. Let j(v) = -31*v**2 - 6*v + 12. Let s(l) = -6*d(l) - 5*j(l). Let f(p) = -p. Give f(s(w)).\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**2 + 61. Let k be p(7). Suppose i + 2*i = 0. Is k < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(156)\/sqrt(3) + sqrt(52))\/(-6*(sqrt(4) - sqrt(12)\/sqrt(3) - sqrt(4))))**2 + (-3*1*sqrt(130))\/(-4*sqrt(10)*1).\nAnswer: 3*sqrt(13)\/4 + 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 17\/4 of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12421044 (base 7) to base 14.\nAnswer: 216394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 19576543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -111 + -2?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1679499.\nAnswer: 3, 181, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from elekkeumgmem. What is prob of sequence kek?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i**5 + 132*i**4 - 5904*i**3 + 100688*i**2 - 538800*i + 720000 = 0. What is i?\nAnswer: 2, 6, 24, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8\/3 in -1, -193, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 323 + -231. Let l be b\/32 - 3*1. Let i = -1 - -1. Which is smaller: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111011001110 + -10111?\nAnswer: -111011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -5*z - 3*o + 10, -5*o = -2*z - 40 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3077 - -3089. Solve 2*d + 0*d = -q - t, 0 = -5*d - 25 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 16, -24, -104, -224, -384, -584, -824?\n\"Answer: -20*v**2 + 20*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 + -25. Is -16 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-23)\/92 - 1\/(-4). Suppose z*k + 35 = l + 2*k, 0 = 5*l - 2*k - 115. Solve 4*y = 5*j - l - 8, -y + 8 = 2*j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w + w - 2*w + (-7*w + 3*w + 2*w)*(0 - 1 + 4).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 99\/(-165)*(-2 - -12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 150605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9 + 13. Suppose 1341*o - 1344*o + 15 = 0. Suppose o*j - 5*v = 45, 12 = t*v - 8*v. Calculate the lowest common multiple of j and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 738*o - 736*o + 10 = -4*z, 5*z + 17 = 2*o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -385072, -385110, -385164, -385228, -385296, -385362, -385420?\n\"Answer: v**3 - 14*v**2 - 3*v - 385056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 5*w - 122 = 12*w, 270*w - 232 = 7*a + 273*w for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5.09 - 4.8. Which is the third smallest value?  (a) -0.4  (b) -0.1  (c) u  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1505.656 or 0.021?\nAnswer: 1505.656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**2 - 3*z + 2. Let r be g(-4). Let l be (-1)\/(-4)*r*2. Let x be -6498 + (l - 0)*2. Round x to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121738656 to the power of 1\/2, to the nearest integer?\nAnswer: 11034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11034205 is divided by 266.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 + 1080*m + 23095. Give v(-21).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2320 and 15805?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the first derivative of l**3\/3 + 9*l**2\/2 - 15*l + 39. Calculate d(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**2. Let v(i) = -6*i**2 + 11*i. What is -5*n(t) - v(t)?\nAnswer: t**2 - 11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -95110648 + 190221260 - 95110612 + 57*t**2.\nAnswer: 57*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 6*o**2 - 10*o - 20. Does 5 divide z(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -36*g**3 - 573807*g**2 - 5782257*g - 477870 = 0. What is g?\nAnswer: -15929, -10, -1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 5, -98, 14 in decreasing order.\nAnswer: 14, 5, 0, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence exx when three letters picked without replacement from exeeeeeexee?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -295 + 295.0000161. Round b to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 80 and 5172055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1356, 1387, 1452, 1569, 1756, 2031, 2412?\nAnswer: 2917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 11 in -0.3, -9\/14, 3, 1, -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the third derivative of n**5\/12 - 5*n**4\/6 - 25*n**3\/6 - 2*n**2 + 19. Factor h(f).\nAnswer: 5*(f - 5)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 69?  (a) -1\/4  (b) 2\/9  (c) -3  (d) 2\/15  (e) 27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 - w**2 + 3*w + 5. Let g be (1 - 5)*(-4 + 5) + 7. Let n(r) = 6*r - 13*r + 2*r**3 - 15 + 3*r**2 + 4. Give g*n(j) + 7*d(j).\nAnswer: -j**3 + 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 2*m**2. Let v be n(1). Suppose q = v*q - 66. Let y(s) = -2*s**3 + 15*s**2 - 15. What is the remainder when q is divided by y(7)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3\/70 - 5\/182. Let n = 127\/195 + g. Solve 4\/3*a**3 - 2\/3*a**4 + 0*a - n*a**2 + 0 = 0 for a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:08 PM and 4:46 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -75914*o*s**2 + 358*o*s - 11*o + 6 wrt s.\nAnswer: -151828*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 6 = d. Let s(w) = -w**3 + 6*w + 1. Let z(l) = 2*l**3 - l**2 - 19*l - 2. Let x(a) = 7*s(a) + 2*z(a). Is x(d) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1407 and 597.\nAnswer: 279993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - 5. Let p = d - 5. Let g(i) = -i**2 + 1 - 3*i - i**3 - i + 4*i. Determine g(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 - 38*u**2 + 5*u - 469. Let c be f(38). Let j = c - -279. Solve -2\/3*h**4 + j*h + 0 + 1\/3*h**3 + 0*h**2 = 0 for h.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 23 = 2*t, 5*t - 73 = 5*b - 28. Suppose 5*w + k = 19 - 6, -3*w = -5*k - 19. Solve 3*f + w*h = -2*h + 5, -4*f - t = 4*h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -323434014 - 2?\nAnswer: -323434021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 112\/(-14)*3*-2*1\/(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19, 52, 71, 46, -53?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 57 - (-31 - (-5 + -70))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1354 + 1337. Sort d, 2\/5, -5 in decreasing order.\nAnswer: 2\/5, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3244 and -1.0696?\nAnswer: -3469.7824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-6) - 255\/9. Let m = 34 + s. Let c(z) = 2 - 5*z - 5*z**2 + z**3 - 7 + 2*z. What is c(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 261, 372, 483, 594?\nAnswer: 705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/34 + 4032\/119. Let n = u - -22. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 2436504*s**2. Let t(m) = 3*m. What is w(t(h))?\nAnswer: 21928536*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = -5*f - 4*g, f - 3*g + 12 = -f. Solve -k - f = -2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -199.99999843 + 200. What is r rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-1)\/u**27 assuming u is positive.\nAnswer: u**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-n + n - 2*n)*(4*n + 9*n - 5*n) + (6 - 5*n - 6)*(n + 0 + 0) + (4*n - 2*n - n)*(-3 + 3 + n) + 6*n**2 - n + n to the form u*n + k + m*n**2 and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/(((-315)\/(-210))\/((-6)\/24)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 51 and 309?\nAnswer: 5253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15557468 divided by 7778734.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1244332, -2488682, -3733032?\nAnswer: -4977382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 5, -4, -1\/5, 7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8 + (-1 - 1) + -3. Suppose x*q - 5 = 10. Solve -b + 1 = -q*t, 3 = 4*t - 2*t + 3*b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(637) - (sqrt(637) + -1 + sqrt(637)))*-1.\nAnswer: -1 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 33662772?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 6*b = -7*l + 37098, b - 5301 = -l. List the prime factors of l.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2515 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(68) - (sqrt(68) - -2*sqrt(68)*-3))\/(sqrt(1764)\/sqrt(9)) + 3)*-2.\nAnswer: -6 + 12*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*x**2 + 2*x**2 - 5*x**2)*(-6*x - 14*x + 7*x) + 182*x**3 - 160*x**3 + 472*x**3 as h*x + b*x**3 + y*x**2 + a and give b.\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 3*s**2 - 4*s**2 + 0*s**2. Let n(q) = 92913*q**2 + 5*q - 92930*q**2 - 5*q. Calculate x(n(k)).\nAnswer: -289*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/18, 3, -6.8?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 193*b**4 + 287*b**2 - 15119561?\nAnswer: 772*b**3 + 574*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-y - 3*y + 5*y)*(3*y**2 - 2*y**2 - 3*y**2)*(-11080 - 14782 - 28523 + 8124 + 3257) to the form l*y**2 + k*y**3 + s + j*y and give k.\nAnswer: 86008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a3 + -502?\nAnswer: -40a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**4 + 240*s**3 - 6948*s**2 - 15616*s + 22326.\nAnswer: -2*(s - 61)**2*(s - 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 21 divided by -239014\nAnswer: -21\/239014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 13, 12, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of -1\/12*b**4 + 1\/2*b**2 - 7*b + 8 + 0*b**3 - b**5. Let i(j) be the first derivative of t(j). Determine i(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (12\/10)\/(3\/165) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1610, -3219, -4828?\n\"Answer: -1609*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*v**2 + 2 - 17*v**2 - 2 + 4*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**2 + m + 1. Let o be f(0). Let w(c) = -25*c**3 - 1. Let k be w(o). Is ((-27)\/(-18))\/((-1)\/k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 218269 and 226111?\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1465\/6 + -194833\/798. Let i = 260\/399 + u. Let y = 5.07 + -0.07. What is the closest to 1 in -1\/4, i, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 2*h**2 - 142*h + 1523. Let x be y(58). Solve -l = z + 2, -4*z - 25 - x = -4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3\/11, 3, -2\/15 in increasing order.\nAnswer: -2\/15, 3\/11, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 2*o - 8, 2*l + 2*o = -6 - 2. Let p be 147 - -6 - (l - -2). Is p + (0 + 8)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 6\/17, 1, 214\/25661?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.987087171 rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c - 421. Let v(w) = -w. Let f(z) = 2*z**2 - 2*z. Let r(g) = -f(g) + 2*v(g). What is t(r(y))?\nAnswer: -2*y**2 - 421","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -127 - -187. Calculate the smallest common multiple of b and 16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 101*r**2 - 101*r**2 + 12 + 2*r**4 - 6*r**4 + 2*r**4 + r**4 + (-r**3 + 1 - 1)*(2*r - 4 + 4).\nAnswer: -3*r**4 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -101391, -202751, -304085, -405399, -506699, -607991, -709281?\n\"Answer: -g**3 + 19*g**2 - 101410*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -54284, -108577, -162856, -217115, -271348, -325549?\nAnswer: -379712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.04 + -0.036. Let a = -0.204 + n. Let s = -3.98 + -0.02. What is the nearest to 1\/5 in -2\/15, s, a?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2255 is divided by 2242.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -732352 by 183088.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 4*g, w + 5*g - 26 = 4. Let j(d) be the first derivative of d**3\/3 - 5*d**2\/2 + 7*d - 1. Is j(w) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uju when three letters picked without replacement from ujjujjjjjjjjjjjuujj.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -12.254, -22\/5 in decreasing order.\nAnswer: 1, -22\/5, -12.254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aa when two letters picked without replacement from apappapppp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*c + 0*c + c)*(4 - 1 - 6 + 5 - 2 - 1 + (-2 + 1 + 2)*(0 + 1 - 3) - 19 - 8 - 21 - 22) to the form j*c + l and give j.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5060125 and 9.\nAnswer: 5060134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 > 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 153067 is divided by 1936.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 16953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*k + k. Let v be (k\/(-5))\/((-2)\/35). Let i = 20 + v. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pwpzzzp. What is prob of picking 1 w, 2 p, and 1 z?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 6215 from -7124262510.\nAnswer: -7124268725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -11*i + 136. Let t be w(14). Let k be -7 - (7 - (-444)\/t). Let -2\/9*m**3 - k*m - 128\/9 - 8\/3*m**2 = 0. Calculate m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-84712)\/(-28 - (-17 + -3)) a multiple of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 330?  (a) 4  (b) 1\/27  (c) -9  (d) -1\/4  (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 15, 3*g - 116030 = -159*d + 161*d. List the prime factors of g.\nAnswer: 2, 5, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.57019 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**3\/7 - 12*g**2\/7 - 768*g\/7 - 3840\/7.\nAnswer: 3*(g - 20)*(g + 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 2236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-2\/7)\/(c*(c\/c**(-5\/9))\/c) assuming c is positive.\nAnswer: c**(-116\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes after 6:40 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.27159?  (a) -1  (b) 6\/209  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 717287 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-7)\/u*u*u**(-2))\/((u*u**(4\/7)*u)\/(u*(u*u*u**(3\/10)*u*u*u*u*u*u)\/u)))**(1\/40) assuming u is positive.\nAnswer: u**(-159\/2800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 44363046493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n**2 + 12865*n - 3216 = 0. What is n?\nAnswer: 1\/4, 3216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8786435 is divided by 104.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 0 + 2)*(-2*g - g - g)*(2 - 4 - 1)*(1 - 4 + 4).\nAnswer: 108*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -87 by 11542.\nAnswer: -3\/398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -i*k**2 + 2*i*k + 313808*i - 540*k**2 + 98*k - 10 wrt k.\nAnswer: -2*i*k + 2*i - 1080*k + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = l - 5, 5*l - 19 = 3*n + 6. Solve -4*v + l*h - 27 = 0, -2*h = -v + 2*v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-690 + 712 - 146\/8)\/((-1)\/(-33)). Determine a so that -339\/4*a - 57\/4 - f*a**2 + 27\/4*a**3 = 0.\nAnswer: -1\/3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19 - ((-22 - -5) + 35)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -9*n + 5*n**3 + 45*n**2 - 15*n**3 - 45*n**2. Let b(l) = l**3 + l. Determine -18*b(k) - 2*s(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 - 0.0493\nAnswer: 0.3507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**2 - 2*a**2 + a**2)*(a + 2 - 2) + (-2*a + 0*a + 0*a)*(2*a**2 + a**2 + 0*a**2) + a**3 - 3*a + 3*a + (-273 + 273 + 3*a)*(2*a**2 + 1 - 1).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10.1 + 10.09398. Round a to four decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 918765536 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 30915214 a multiple of 1277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2213, 4391, 6569, 8747, 10925?\nAnswer: 13103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.3  (b) 11\/8  (c) -3  (d) 3  (e) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 29, 45, 47, 29, -15, -91, -205?\n\"Answer: -p**3 - p**2 + 26*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 860 and 756860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/((136\/(-12))\/17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o**(6\/7)\/o)*o*(o*o**(1\/3))\/o)\/(o**(5\/7)*(o\/(o*o**(-8)\/o*o)*o)\/o) assuming o is positive.\nAnswer: o**(-131\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -15846994.368 + -251.\nAnswer: -15847245.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1783 is divided by 812?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 896516 is divided by 465?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2.76 and -3253.21178?\nAnswer: 3255.97178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/9384 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 3*m - 1139994 = -5*q, -m = -2*q + 760002. What is q rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 363717 to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -2*t**2 - 10*t - 10. Let q be k(-4). Put q, -12, -1 in descending order.\nAnswer: -1, q, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.07 in 2\/19, 18, 0.99?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -261154, -260597, -259668, -258367, -256694, -254649, -252232?\nAnswer: -249443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1138.2 - -1137.9. What is the nearest to 0.1 in 15, -3, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-230)\/(-69))\/(4\/54). Let h be ((-6)\/15)\/(3\/n*-1). Suppose 0 = 3*r + 6, -2*g + h = -2*r - 0*r. Solve 2*c = c + g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x + x - 884. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 110681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -413380 divided by 220\nAnswer: -1879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5644640*b**5 - 68118*b - 15.\nAnswer: 112892800*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(8) + sqrt(16)\/sqrt(2) - sqrt(8) - sqrt(22)\/(sqrt(44)*-5))**2.\nAnswer: -42*sqrt(2)\/5 + 641\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pcpfoijc. What is prob of picking 1 j and 1 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -164*y**2 - 974*y**2 - 6*y + 6*y.\nAnswer: -1138*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.065144 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**3\/7 - 1164*n**2\/7 - 17882*n\/7 - 2388.\nAnswer: 2*(n - 597)*(n + 1)*(n + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-20)\/(-25))\/((112\/380)\/(-14)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2958 + -1564.6. Round o to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16 (base 12) to base 8.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1657 (base 14) in base 5?\nAnswer: -111442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*z = -9*z + 13*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1236734 is divided by 393?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 841 - 530. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 13887, 55544, 124969, 222162, 347123, 499852?\n\"Answer: 13884*g**2 + 5*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -1004578103 to the nearest 100000.\nAnswer: -1004600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * 321386798\nAnswer: 64277359.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -4*l - 28, 3*l + z = -3*z. Let k = 549 + -550. Put -2, l, k in descending order.\nAnswer: k, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1071*c*h**5 + 374*c*h**2 - 3*c*h wrt h?\nAnswer: -64260*c*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -3  (b) 2  (c) 0.1  (d) -232\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -3*j**5\/4 - 80*j**4 - 5959*j**3\/4 + 4533*j**2\/2 + 2611*j - 1066 = 0.\nAnswer: -82, -26, -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5343092339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-11)\/(o\/(o*o**11))*(o**5\/o)**(-25))**9 assuming o is positive.\nAnswer: o**(-900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x + 7. Let i be n(-7). Let d = i + 5. Factor -2\/9*y**3 + 2\/9*y**2 - 2\/9*y**4 + 2\/9*y**d + 0 + 0*y.\nAnswer: 2*y**2*(y - 1)**2*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*c**2 - 9\/2*c + 2*c**4 + 0 + c**3 - 1\/2*c**5.\nAnswer: -c*(c - 3)**2*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes after 6:19 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0\/(-3*(-4 - -5)). Is d bigger than 11\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7054705744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -19*o**3 - 13*o**2 + 28*o + 87. What is h(4)?\nAnswer: -1225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the second derivative of -i**5\/40 + 13*i**4\/8 + i**3\/12 - 39*i**2\/4 + 1520*i. Determine z, given that b(z) = 0.\nAnswer: -1, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 + 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*q - 19 - 7 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z + 2*z - 3*z + 0*z + 0*z - z + (-2*z + 4*z + 0*z)*(1 + 1 - 1) - 3*z + z + 0*z)*(-3 + 4 + 1)*(2*z + 0*z - 6*z).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l + 2*l + 10. Suppose 4*x = -2*b - 2, 3*x + b = -2*x - 10. Let j(m) = -m - 4. Let c be j(x). Which is bigger: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, 4, 95, 5, -4, 1.\nAnswer: -4, -2, 1, 2, 4, 5, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((35\/10)\/(-7))\/(10\/(-4))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the third derivative of -t**6\/120 - t**4\/24 - 2*t**2. Let b be r(-2). What is the highest common factor of b and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10202?\nAnswer: 2, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -12 times -17.65745\nAnswer: 211.8894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 28\/6 - (-8)\/(-12). Suppose 3*l - 55 = -g. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the first derivative of -1 + 1\/5*u**2 + 3\/20*u**4 + 0*u - 1\/30*u**6 - 1\/25*u**5 + 1\/3*u**3. Let g(y) = 0. Calculate y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 6.327938ml?\nAnswer: 0.006327938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -120221 (base 7) to base 12\nAnswer: -106a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 555168851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.7283 - 16077.26.\nAnswer: -16077.9883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -216 = 4*g - 7*g - 5*y, -5*y + 144 = 2*g. Suppose -71*q - 10 = -g*q. Solve 4*v - 30 + q = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(11) + -6*sqrt(891))**2.\nAnswer: 30895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (6\/(-6))\/((-2)\/64).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 15680, 15681, 15682?\n\"Answer: k + 15679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 5 = -u + 6, u = 3*w + 1. Solve -2*l - 10 = -u*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8\/3, 3, -16128 in decreasing order.\nAnswer: 3, -8\/3, -16128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from xbxxxqxrb.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4697 - 4683.295. What is c rounded to one decimal place?\nAnswer: 13.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 30 + -30. Suppose -64 = -u*v + 4*v. Let y be (-4)\/18 + v\/(-72). Which is bigger: 2\/15 or y?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 17228916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 19012, 12686, 6360, 34, -6292, -12618?\n\"Answer: -6326*y + 25338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t + 3. Suppose 4*z + u = 9, 5*z - 3*u = 6*z + 6. Suppose -3 = z*f - 12. Calculate the remainder when f is divided by h(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6920245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**2 - 290*g + 21025.\nAnswer: (g - 145)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 0 + (-12)\/(147\/51 + -3) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6\/5 in 5, -0.1, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 472 + -458. Suppose c*l - 12840 = 1440. Is 34 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*i - 15 = -12*i. Let p = -5 + 6. Put i, p, 2 in ascending order.\nAnswer: i, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**2 + 6*h - 46. What is p(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) 0.5  (c) -100  (d) -0.1  (e) -1\/5  (f) 30  (g) -157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 290\/35 - (-2)\/(-7). Let a(c) = -3 - 4*c - 2*c + n*c. Does 3 divide a(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2\/4 - 1560209*x - 31204205\/4.\nAnswer: (x - 6240841)*(x + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 71 + -62451?\nAnswer: -62370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:51 AM and 10:15 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -7.5, 0.04, 1.2, 0.3?\nAnswer: -7.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 - ((1 - -5) + -8 - 39)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(1573) + 2 + sqrt(1573)*-2))**2 + (-5*(1 + sqrt(1573) + 0))**2 + -2.\nAnswer: 154*sqrt(13) + 53541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001459864303 to 6 dps.\nAnswer: -0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 278 + 250 = 8*d. What is the remainder when d is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -277 - -486. Let l be 2\/3 + (-55)\/(-3). What is the greatest common factor of l and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1014*g*i**3 + g*i**2 + 35*g + 1 wrt i?\nAnswer: 6084*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 464 = 4*l + 2*m, 0 = 5*l - 0*m + 5*m - 590. Let w be (-5 + (-1530)\/(-6))*(-2)\/(-5). Let v = l - w. What is the least common multiple of 30 and v?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -5*o**2 + 10*o + 6. Let p(c) = 9*c**2 - 4*c - 5. Let h(r) = -10*r**2 + 3*r + 5. Let f(y) = -5*h(y) - 6*p(y). Calculate 6*f(a) - 5*l(a).\nAnswer: a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 - 7 = -3*q. Differentiate -2 - q*x + 8*x - 4*x with respect to x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -19 - -16. Suppose j - 18 = -3*m, -5*m + 3*m - 4 = -2*j. What is the smallest common multiple of (-39)\/(-26)*(-2)\/q and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81 = 55*y - 56*y. What is the second derivative of -37*h**4 - 21*h**4 + 65*h + y*h**4 wrt h?\nAnswer: 276*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -22*j + 51*j - 1 - 2*j**2 - j**3 + 5*j**2 - 3*j**2 as u*j**2 + g + q*j**3 + c*j and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - -8. Suppose -p - 30 = -5*y - 8, -2*y = -u*p - 18. Suppose 0 = n - k - 12, -k = y*n - n - 16. Calculate the highest common divisor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - (-2 - -2)) + -9 - -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-222)*7*(-410)\/(571130\/1791)?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x - 17 + 2. Solve 0 = -2*y - 3 - x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -3*q**2. Suppose -5 + 2 = -p. Let h(b) be the second derivative of -b**4\/4 - 9*b. Let i = -227 - -223. Give i*v(k) + p*h(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6038239?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -3*r + 20. Solve 0 = 2*u + 2 - r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*q + 5 - 55 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = -h - 3*v + 5, 0 = 3*h - 5*v - 44. Let n = 37 - h. Suppose 5*y - 3*x - 3 = 2*y, -y + 6 = 4*x. Calculate the smallest common multiple of y and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 87924 and 24412.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 2*j**3 - 22*j**2 - 53*j + 2. Calculate b(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 13.69 * -0.01.\nAnswer: -0.1369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -4*q + 4*t + 168, -5*t + 84 = 2*q. Suppose -5*b + q = 3*p, 0*b = 3*b - 4*p - 31. Let z = 19 - b. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - (-2 - 53) - (-4 - (17 - 5))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3a (base 11) in base 9?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 - 1. Is d greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -17*p - 11. Let f(g) = 6*g + 4. Suppose -3 - 5 = -2*c. Let x(q) = c*m(q) + 11*f(q). Let k(r) = 0*r**2 + 0*r**2 - 3*r**2. What is x(k(w))?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7097973 and 315.\nAnswer: 745287165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -26.2 - -12287.359.\nAnswer: 12261.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -8*d + 44. Suppose 3674*l - 1827*l = 1822*l + 9825. Calculate the remainder when l is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(26)*-1*-3)\/(2*sqrt(2)*-2 - sqrt(2)).\nAnswer: -3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {x: 7, r: 1, m: 4, z: 2, g: 4, h: 2}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31 (base 6) to base 4.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 39, -3, -4 in descending order.\nAnswer: 39, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -2*y. Let m be q(1). Let f be (-12)\/m*3\/2. Suppose f*c - 6 = 6*c. Which is bigger: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -2 - (-12 + -3 - (-93 + 82)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16 and 565053584.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/48*-3*1. Which is the closest to -2?  (a) 5  (b) h  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 8*c - 124. Give a(13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, n: 2, e: 4}. Give prob of sequence keen.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 11118, 22211, 33272, 44295, 55274?\n\"Answer: -z**3 - 10*z**2 + 11130*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1121 + 10401?\nAnswer: 12022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 25 = 3*c. Let a = -41 - -37. Sort c, -3, a in decreasing order.\nAnswer: c, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2148912 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 0*y = 0. Let q(u) be the third derivative of 0*u**3 - u**2 + 1\/105*u**7 + 0*u + 0 + y*u**4 + 1\/30*u**6 + 0*u**5. Factor q(r).\nAnswer: 2*r**3*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 5*z + 31. Let u be j(-5). Solve 14 = 5*v - u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 - 3*h + 7. Let b(v) = 3*v**2 - 6*v + 13. Let y(m) = 2*b(m) - 5*x(m). Let l be -2*(2 + 2\/1 + -2). Let z be y(l). Does z = -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*s**2 - 19*s**2 - 12*s**2 + 55*s**2.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24933391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 545 - (-4)\/3*(-27)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + y + 338 = 0, -n + 433 = 4*n + 4*y. What is the remainder when n is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96242 is divided by 33?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 - -42. Let p be (3*(-2)\/3)\/1. Let h(z) = -9*z + 2. What is the remainder when f is divided by h(p)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1142423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 6 + 15*s + 0 + 2*s**2 - 6 + 13. Let g be c(-11). Suppose 5*p = -3*h + 47, 2*p - h + 0*h = 21. What is the greatest common factor of g and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -2 - 6 - ((-2)\/34 - 575453\/63240) and 149\/1272.\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the first derivative of r + 1\/4*r**2 - 1\/6*r**3 + 16. Factor g(b).\nAnswer: -(b - 2)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11155 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (125*a - 125*a + 11 + a**3)*(-4497*a + 2588*a + 2856*a).\nAnswer: 947*a**4 + 10417*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-1)\/3)\/(1\/21). Let s(y) = -3*y - 7. Calculate the remainder when s(h) is divided by 4\/(-6) + (-6 - 140\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -222183, -888833, -1999901, -3555381, -5555267, -7999553?\nAnswer: -10888233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1989 + 0.2. What is r rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, g: 4, z: 2}. Give prob of picking 2 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 24, 55, 86, 117, 148, 179?\n\"Answer: 31*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1244.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5\/51, 0.18, -8?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -8*z**2 + 1441*z - 21156. What is t(164)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 90100 and 5825.\nAnswer: 20993300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + i = -898. Suppose -l - p + i = -0*p, 2241 = 5*l + 4*p. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 > -5631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2477*j + 2663*j + 2654*j - 7796*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*o + 2*r - 49 = 0, o - 1834*r = -1829*r + 7 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 16454 or 16455?\nAnswer: 16455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the third derivative of -7*i**4\/24 + i**3\/2 + 6*i**2. Calculate z(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tttttttrttttt.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 482223*m**3*p + 15*m**2*p + 156066850*p wrt m.\nAnswer: 1446669*m**2*p + 30*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 15 = 5. Suppose -4*y + z*y = 1. Let f = 2 - 1. Calculate the remainder when f is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - -4. Suppose -c*d - z - 74 = -0*d, -12 = 3*z. Let r = -25 - d. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b - 4*b = -32. Let d be (b\/6)\/(7\/(-63)). Suppose 3*q = -3*w + 15, 4*q + 2*w + 3*w = d. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16755?\nAnswer: 3, 5, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the first derivative of 5*l**8\/336 - l**4\/8 + 7*l**2\/2 + 3. Let n(g) be the second derivative of u(g). Find the second derivative of n(a) wrt a.\nAnswer: 100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a + 2*a + a)*(23*a + 4*a**2 - 23*a).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvjvvvvyjjvjjvy. What is prob of picking 2 y and 2 j?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:15 PM and 4:20 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -145503 - -1025?\nAnswer: -144445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 2 = -2*o, -4*j + 12 = -0*j. Calculate the greatest common factor of o and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/((-4)\/(-27)) + -11?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 38*m**4 - 18*m**4 - 21*m**4 - 1 - 3*m**4 + 0*m**4 + m**4 + (0 - 2*m**2 + 0)*(-2*m**2 + 3*m**2 + 0*m**2) + 372*m**3 + 9*m**4 - 372*m**3.\nAnswer: 4*m**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/21)\/(((-297)\/(-63))\/(-11))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*y**3 - 20*y**3 + 6*y**3 + 12*y + 2*y**3 wrt y?\nAnswer: -30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1416270544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-6 - -8) - 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8026 + 8376. Solve f - 356 = -2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.3007374 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -158 divided by -567.\nAnswer: 158\/567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 4*y = 3334 + 31742, -2*w = -y - 17553. List the prime factors of w.\nAnswer: 2, 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5 + 178 + 0 + -4. Let t = v + 12. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -2974*w + 166521. What is i(56)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/4, -5, -13, -2\/18133 in increasing order.\nAnswer: -13, -5, -5\/4, -2\/18133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 5346, 4525, 3702, 2877, 2050?\n\"Answer: -c**2 - 818*c + 6165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 18 - (-259 - -257)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes after 9:53 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00002666243 rounded to seven decimal places?\nAnswer: -0.0000267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -s**2*v**2 + 14*s**2*v + 4*v**2 + 114*v wrt s?\nAnswer: -2*s*v**2 + 28*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22, -47, -72?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 0 - 17)*(0 + 0 + 1)*(-4*w**2 + 2*w**2 - 19*w**2).\nAnswer: 462*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + -17 + 4 + 1 + 1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (816\/2176)\/(1\/1).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, h: 2, s: 6, w: 9}. Give prob of picking 1 s, 1 c, and 2 h.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21805848 by 908577.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the first derivative of 7*k**3\/3 + 6*k + 2. Let l(c) = -20*c**2 - 17. Let r(y) = 6*l(y) + 17*q(y). Let h(d) = -2*d. Give r(h(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes before 11:51 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3297293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/6)\/(24*(-8)\/36)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6135 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -6, 0.3, 0.13 in descending order.\nAnswer: 0.3, 0.2, 0.13, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.595 + 1.095. Let q = 0.5 - 1. What is the smallest value in q, -4\/3, 2, g?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 192 + 2.44?\nAnswer: 194.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 20336 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -158 = 4*x - 170. Solve -2*l + 6 = x*g + g, 0 = 5*l + 5*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24ba5 (base 14) to base 13.\nAnswer: 32026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) 0.03  (c) -156.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = -f + 5*s - 2*s, f = 5*s - 32. Let d = 15 + f. Sort d, 0, -4.\nAnswer: -4, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29 + 62. Calculate the smallest common multiple of (-13 - 23)*(0 - 1\/2) and r.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/48*-4)\/((-40)\/32).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*g - 1684 = -473 - 153 + 1182 for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3437 is divided by 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 243.0215 days to nanoseconds.\nAnswer: 20997057600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6735, -8598, -10447, -12276, -14079, -15850, -17583?\nAnswer: -19272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 236289227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42.78004 minutes to nanoseconds.\nAnswer: 2566802400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oxox. What is prob of picking 2 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 604444*x + 1813321. Give n(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -2*x**3 + 9*x**2 - x + 3. Is 5 a factor of f(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 102 is divided by 49.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 35.11946km?\nAnswer: 35119460000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1061*c**3 - 4652*c**3 + 5658*c**3.\nAnswer: -55*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*f\/(f**(3\/5)*f)*f*f)*f*f*f\/(f\/((f**(1\/8)\/f*f)\/f*f)))\/(f*(f\/(f*(f\/(f\/(f*((f\/(f\/f**(1\/3)))\/f)\/f)))\/f))\/f)**(-7\/6) assuming f is positive.\nAnswer: f**(961\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13585*g**5 + 3*g**3 + 1634342*g?\nAnswer: 271700*g**3 + 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 7*w**2 + 3*w - 5. Let x(v) be the first derivative of -v**3\/3 - 6*v**2 - 9*v + 13. Let a be x(-11). What is the units digit of m(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k**2 + 3*k**3 + 3*k**2 + (3 - 3 - k)*(4*k**2 - k**2 - k**2) + 5*k**3 - 2*k**3 - k**3 - 12*k**3 + k**3 + 0*k**3)*(-1 + 1 + 3*k)*(0 + 2*k + 0).\nAnswer: -48*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/(-1168) - (-4 - (-33 + -4)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 49*s + 2. Let q be u(1). Let c = q + -32. What is the remainder when 56 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2 + 5*q + 2. Let a be u(2). Calculate the greatest common factor of a and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17376 divided by 2305.\nAnswer: -17376\/2305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 5590, 12626, 19674, 26734, 33806?\n\"Answer: 6*n**2 + 7018*n - 1434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1095)\/(-9) + 14\/(-21). Suppose -n + w = -32. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8097145853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c + 390 = -2*c + j, c - 82 = -j. Let p be ((-132)\/c)\/((-4)\/14). Is (5 - p)*(0 - 201) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 919749.18 hours to weeks.\nAnswer: 5474.6975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -2*u**5 + 10312*u**4 - 1656342*u**3 - 1687288*u**2 + 3333320*u = 0.\nAnswer: -2, 0, 1, 167, 4990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1055567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 321 + 54536*b - 54471*b - 13 with respect to b.\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1426038 + 426*l**2 + 4971*l**3 + 1426038 wrt l.\nAnswer: 29826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 60 + -61. What is the fourth biggest value in -5, 0.01, 0.1, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -205285 or -205287?\nAnswer: -205285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sees when four letters picked without replacement from essssesessssesse?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 3  (c) -19  (d) -1  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence unc when three letters picked without replacement from {q: 4, c: 1, a: 2, i: 1, n: 3, u: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - (-9 + 2) - 9) + (-1 - 3)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/8*(1 + 6266\/(-546) - -10).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, e: 2, m: 9, j: 3}. Give prob of sequence jjm.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 213590 divided by -2\nAnswer: -106795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 164197 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -201 - -298. Let q = i + -176. Let o = -53 - q. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5132834 is divided by 180?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**4 - 516*a**3 + 1575*a**2.\nAnswer: -3*a**2*(a - 3)*(a + 175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*n - 14*n**2 - 3*n + 16*n**2 + 7060034.\nAnswer: 2*n**2 + 7060034","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 166*v**3 - 4*v**2 - 6*v - 3. Let i(x) = 333*x**3 - 7*x**2 - 10*x - 5. Calculate 3*i(t) - 5*s(t).\nAnswer: 169*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -419, -414, -409, -404?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.05 - -2.05. Let u = 2 - o. Let a = u + 3. What is the smallest value in 0, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 24*z**3 - 7*z - 2 + 4*z**2 + 5*z**3 + 2*z to s*z**2 + j*z**3 + g*z + c and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4882316444.\nAnswer: 2, 23, 181, 449, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20101237 and 187395?\nAnswer: 301518555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3030140 + 10?\nAnswer: 3030200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4 - 4 + 3989*p**2 - 2430*p**2 + 7573*p**3 + 3861*p**2 wrt p?\nAnswer: 45438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes after 3:34 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 3 + 2*m**2 + (-11*m - 100 + 100)*(2 - m - 2)*(-739 + 223 + 268) as h*m**2 + w*m + v and give h.\nAnswer: -2726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + (5 + sqrt(28) - sqrt(7)) + sqrt(14)\/sqrt(2)*-3 + (1*sqrt(175) + 1)**2.\nAnswer: 9*sqrt(7) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 16*w - 7. Let v(j) = -42 + 2519*j - 2504*j + 36. Calculate -4*o(k) + 5*v(k).\nAnswer: 11*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h = 3*y - 29, -1298*y + 51 = -h - 1327*y for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 938, 990, 1076, 1214, 1422?\n\"Answer: 3*h**3 - h**2 + 34*h + 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 2*s**3 - 59*s**2 + 89*s - 143. Determine v(28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 21 or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the second derivative of 0 + 0*q**4 + 7*q + 0*q**2 - 2\/5*q**5 - 7\/3*q**3. Find the second derivative of v(r) wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -6 + 4*j**3 + 0*j**3 - 10*j - 5*j**3 - 5*j**2. Suppose -2*f - 36 = 4*a, 9*a = 10*a - 4*f - 18. Does 8 divide g(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o - o - o - 2. Let i(q) be the third derivative of q**5\/120 + q**4\/8 - 2*q**2. Let f(j) be the second derivative of i(j). Calculate 3*f(w) + 2*l(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 418, 5, 3\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.9 - -0.4. Suppose -4*h + 3*j + 7 = -29, 0 = -5*j. Suppose h*s - 16 = 13*s. Which is the closest to -2?  (a) -1  (b) s  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 5*o + 4 + 36 = 0, -4*p + 26 = -2*o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -103*j - 293*j + 1584 = 0. Solve 0 = j*w - 5*r - 25, -5*w - r - 48 = -43 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/6, 4\/5, -9, 10, 0.1, -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10133\/12 - 843. Calculate the common denominator of -45\/22 and m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 3*d - 18. Let l be v(14). Suppose 2*o + 2 = -5*b, -2*b - 2 = -2*o + 10. Let i be o\/(-6) + 76\/6. What is the greatest common factor of i and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -33\/424 and -3\/32?\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 32.5 + -17.7. Let h = -9 + w. Round h to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -11, 43, 3 in ascending order.\nAnswer: -11, -4, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6.6 + -6.8. Let u = -22\/57 + 1\/19. Sort u, -2\/5, f in decreasing order.\nAnswer: f, u, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**2. Let p(o) = -21 - 150 + 10 + 3*o. Give h(p(r)).\nAnswer: -9*r**2 + 966*r - 25921","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3.46399km?\nAnswer: 3463.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 2 n when four letters picked without replacement from xnxxnnnnnnx?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2208 and 3312.\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*h - h - 27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**10*u*u**(-3\/26) assuming u is positive.\nAnswer: u**(283\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 164796697*v + 164796697*v - 4 + 8*v**2.\nAnswer: 8*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -2*t**3 - 2*t**2 - 2*t - 1. Calculate the remainder when -3*((-38)\/3 + 2) is divided by d(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11\/20485 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**6\/k)**(-48)\/((k**(-18)*k*k)\/k*k*(k**7\/k*k)\/k) assuming k is positive.\nAnswer: k**(-230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22210101200 (base 4) to base 5.\nAnswer: -1202120031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 + 3112?\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-62)\/20 - (-18)\/180.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -2*r**3 + 38*r**2 + 44*r - 32. Let t be s(20). Solve t*y = 55*y + 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**2 + 4. Let u(w) = -2*w + 15 + 2*w + 3*w**2 + 2*w**2. Let j(n) = -15*s(n) + 4*u(n). Let m(l) = 83*l**2 - 40*l**2 - 42*l**2. Calculate j(m(i)).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 5329.896 centuries?\nAnswer: 532.9896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 173760.2ml?\nAnswer: 173.7602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 4 - 22. Which is greater: -7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1048 + 4968 - 15*w - 1307 - 1308 - 1305.\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 2*n - 2\/3 - 2*n**2 + 2\/3*n**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -5*v + 84, -2*v + 87 = 2*v - 5*b. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 + -3.8. Let m = -45 - -40. Sort z, m, -0.7 in ascending order.\nAnswer: m, -0.7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -4*k - 25, -4*o - 18 - 2 = -k. Let c = 4 - -27. What is the remainder when c is divided by (-16 + k)*(1 + -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + a - 18 = 0, 24*t + a = 23*t - 7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11702 or 11701?\nAnswer: 11701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7267 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: Sort 0.02, 1\/22, -1\/2, 0, 345.\nAnswer: -1\/2, 0, 0.02, 1\/22, 345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, 1\/15, -2, -5\/3?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/5*(-3260)\/(-2934)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 2\/17, -0.05, -283?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.02 - -0.38. Put 5, -0.3, q in descending order.\nAnswer: 5, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8988607\/1055886 - -1\/27074. Let d = 26\/3 + f. Let u = -0.1419 + -0.0581. Which is the nearest to -1?  (a) d  (b) u  (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(114)*2)\/(sqrt(384)*2).\nAnswer: -5*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 424559063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:30 PM and 5:27 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(2\/3))**(3\/2) assuming s is positive.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(51)\/sqrt(3)*-4)**2 + -4.\nAnswer: 2444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of -1\/10*s**4 + 0*s**2 - 91 - 64\/5*s + 4\/5*s**3. Suppose i(b) = 0. Calculate b.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-74)\/(-185))\/(45\/25 - 0).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3b - 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -4*z**2 - 3*z + 6. Let d(y) = 5*y**2 + 4*y - 7. Let p(r) = 3*d(r) + 4*t(r). Let b(a) = -1. Give 5*b(k) + 2*p(k).\nAnswer: -2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18416, 18412, 18408, 18404, 18400, 18396?\nAnswer: 18392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 46 + -51. Sort -3, x, 9 in ascending order.\nAnswer: x, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - 53. Is -0.1 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*q = -13*q + 3*a + 400, -1220 = -3*q - a. Let o(v) = -4*v**2 + 43*v - 29. What is the remainder when q is divided by o(9)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.01 + -4.99. Let m = 1.931 - -0.069. Which is the closest to -1\/2?  (a) m  (b) f  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -5*d + 2 + d**2 + d**2 - 4. What are the prime factors of m(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -144 (base 5) in base 13?\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2, 28, 70, 134, 226, 352, 518?\n\"Answer: t**3 + 2*t**2 + 13*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4612.6 - -0.2668?\nAnswer: -4612.3332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + o - 59 = 0, 2*g - o - 77 = 4*o. Let n = 23 - 15. What is the remainder when g is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0 and -29960281432.\nAnswer: -29960281432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 4*n = u + 17, -4*n + 20 = 0. Is u less than or equal to -1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 2*i + 7*b = 0, -241*b = 5*i - 243*b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 10*y - 64. Let v be h(19). Suppose 0 = -k - 4*k + 70. Calculate the greatest common divisor of k and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 793*t + 21 = 814*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -312, -626, -944, -1278, -1640, -2042?\n\"Answer: -2*l**3 + 10*l**2 - 330*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, 23, 302, 11 in increasing order.\nAnswer: -5, -3, 11, 23, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.422 + -2.7534. Let s = 0.4 + d. Round s to 3 dps.\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20\/(-15)*-3 + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1333?\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 34\/27 and (92\/(-680))\/(108\/90)?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 - 7.021. Let w = -0.279 + o. What is the closest to 0.1 in -0.2, -0.4, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**3 - 19*z**2 + 20*z + 16. Let u be t(18). List the prime factors of ((-351)\/u)\/((-6)\/128).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (12 - (-70)\/(-14)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 1 = o. Let c be ((-2)\/(-2)*(-1 + 1))\/(-1). Which is smaller: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1835 a factor of 16648955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10224 + 16525. Let u = t - 63061\/10. Find the common denominator of 0 + (-71)\/4 + -1 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -2*f**2 - f + 7. Determine m(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 538475 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 567858?\nAnswer: 2, 3, 31, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 33  (b) 0.011  (c) -0.1  (d) 0.393  (e) 2  (f) 4  (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1639939 to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o - 1. Let m(i) = 7*i + 6. Suppose 7*x = 5*x. Suppose 8 + x = 4*z. Suppose 2*b = 3*g - b + 15, -z = 2*b. What is g*s(t) - m(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(220))\/sqrt(10) - (sqrt(88) - (sqrt(88)*1 - sqrt(88))))\/((sqrt(88) - (2*sqrt(88) + sqrt(88)))\/sqrt(2))*-5 + 5)**2 + -1.\nAnswer: -50*sqrt(2) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes after 12:46 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/64*4*(-3)\/9.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k**3 + 22*k**2 - 77*k - 46. Let v be w(-25). Let z = -5 + 8.3. Let y = z - 3. Which is the second biggest value?  (a) v  (b) 2  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y. Let a be (4 - -1)*6\/10. Suppose 5*m - 22 - a = 0. Let b = 5 - m. What is t(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -222.31 + 222.31. What is the biggest value in 1864, u, 4\/3?\nAnswer: 1864","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11922847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -4*i**2 - 16*i + 16. Let u = 111 - 116. Let c be n(u). Do c and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-15)\/(-10))\/(6\/8). Let g(o) = 5 - o**2 - a*o**2 - 1 - 6*o + 2*o**2. Calculate g(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + 1433?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 409333063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are -5 and -1496\/301 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 12101 - 104?\nAnswer: 11664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the first derivative of i**4\/42 + i**3\/21 - 12*i**2\/7 - 63*i - 39. Let b(v) be the first derivative of q(v). Factor b(j).\nAnswer: 2*(j - 3)*(j + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 + (-139 - -91) + -6?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2209095.01 rounded to the nearest 1000?\nAnswer: -2209000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*v + 176 = -v. Suppose -15 = -25*o + v*o. Solve -2*z + o = 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (1\/(-2))\/((-18)\/2412)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 81*v*x**6 + 102*v*x**3 - 78*v*x**2 - 2*v*x + 165*v + 4*x**6 - 2*x - 435 wrt x?\nAnswer: 9720*v*x**3 + 612*v + 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/(f\/(f*f*f\/(f*f**(2\/5)\/f)*f*f))*f)**36\/(f\/(f*f**(-1)\/f*f*f)*f)**(-1))**(-5))**48 assuming f is positive.\nAnswer: f**(-48624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 7232209 greater than 7232210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**2 + j + 1. Let r(m) = -2*m**3 - 3*m**2 + 44*m + 3. Determine -3*q(l) + r(l).\nAnswer: -2*l**3 + 41*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-26)\/(-13) + -1 + 1. Suppose -r*q = 4*h - 32, 2 = 4*h - 2. Calculate the lowest common multiple of 22 and q.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 29137, 28027, 26917?\nAnswer: 25807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(75) - sqrt(75))*-4 - (0 + 1 + sqrt(75)))**2.\nAnswer: 50*sqrt(3) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/865 and -47\/3593455.\nAnswer: 621667715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from vvrvvvvlvvvrvvl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 248.4 + -248. Which is the closest to 2\/3?  (a) -4  (b) h  (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(3\/(-2))*(104160\/64)\/155?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 307945375967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.06, 1\/9, 0.5, 49 in increasing order.\nAnswer: -0.06, 1\/9, 0.5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.05 - -0.25. Let n = 71 + 3. Let g = -445\/6 + n. Which is the third biggest value?  (a) k  (b) -3  (c) -5  (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22212112 + -1122200?\nAnswer: 21012212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**5 - m**3.\nAnswer: m**3*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15 + -13.92. Let q = 2.11 - d. What is q rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 434 and 494844.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -792 - -855.08. What is g rounded to 0 dps?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 72 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yu when two letters picked without replacement from rymmnruryrccryc?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 200423300 (base 5) to base 12.\nAnswer: 3243b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*g**2 + 4886*g**3 - 73 - 19*g**2 + 73.\nAnswer: 4886*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 - 59 = -3*y. Let v be (-63)\/(-12) + ((-27)\/y - -2). Let z(u) = 3*u**2 + u**2 - v*u**2. Let k(c) = 36*c**2. Determine z(k(o)).\nAnswer: -1296*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0*((-2)\/4 + 1). Let f(n) = -n**3 + 15*n + 5*n**3 + 3*n**3 - 8*n**3 - 11 + 13*n**2. Let h be f(14). Solve h*j + 4*b = v, -3*j - b - 2 - 7 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -273, -1128, -2655, -4938, -8061, -12108, -17163?\n\"Answer: -14*u**3 - 252*u**2 - u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/(-27)*(4 + 70\/(-4))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12 + 26. Suppose 4*z + q = 6*z. Suppose 2*h - 2*i - 61 = -z*i, -3*h + 88 = 4*i. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.3, -2\/13, -0.88, 1\/7, 0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 18330 (base 15) in base 16?\nAnswer: 13209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 11 divided by 38986102\nAnswer: 11\/38986102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -48929 bigger than -48948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4520 is divided by 410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - -4. Let k(x) = 2 + x + p - 5 + 0*x. Suppose 0*u + 3*u - 9 = 0. What is k(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -932 - -937. Sort -5, 16, i, -1 in decreasing order.\nAnswer: 16, i, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/2 + 44\/8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.14 at most as big as 4664808\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 55115 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.05 + 0.05. Let v = 0.1 - q. What is the closest to v in 0.3, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (-2*sqrt(128) + 0 + -1*-3*sqrt(128))*4)**2.\nAnswer: 128*sqrt(2) + 2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2. Let u(v) = 6*v**2. What is u(t(z))?\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 41 + -18. Let c = w - 23. Solve g + 4*t = -c*g + 7, -g + 5 = 2*t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - (-10 + -5 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5 + 2)\/((60\/(-820))\/1). What is the greatest common divisor of s and 4633?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**2 - 15*v - 51. Calculate g(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1068 and 871755.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3127415046 a multiple of 3066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -3*i + 3. Let c(b) = 7*b - 7. Let g(r) = -r**2 + 11*r - 18. Let d be g(10). Let m(v) = d*x(v) - 3*c(v). Let s = 10 + -6. Determine m(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, p: 2, r: 1, c: 1, i: 1, g: 1}. Give prob of sequence opcp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:52 AM and 12:16 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**2 + 7*p + 18. Let m be s(-14). Suppose -113*t - 210 = -m*t. Let q = -70 + t. Which is smaller: -1\/10 or q?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 75001, 75006, 75011, 75016, 75021, 75026?\nAnswer: 75031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 - 2019.\nAnswer: -2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -39 + 65. Suppose 4*c - 2*c - o = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 437.4236m in centimeters?\nAnswer: 43742.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 130 and 8445515?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w - 4. Let d(c) = -5. What is -6*d(j) + 7*q(j)?\nAnswer: 7*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 4*(-2 + (2*(sqrt(2057) + 1)*-3 + 3)**2))*-2.\nAnswer: -592472 - 3168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, 3, -1\/6, -5, -2.29, -680?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 618 and 54?\nAnswer: 5562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 103964867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/7)*k)\/k**18 assuming k is positive.\nAnswer: k**(-120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1024, -4815, -11372, -20695, -32784, -47639?\n\"Answer: -1383*b**2 + 358*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0544867433 rounded to 4 decimal places?\nAnswer: 0.0545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 974.01264 - 974. What is t rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 242*h**3 + 18*h**2 + 131*h + 5. Let c(q) = 242*q**3 + 12*q**2 + 132*q + 4. Let u(z) = -3*c(z) + 2*k(z). What is the second derivative of u(b) wrt b?\nAnswer: -1452*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -1351913.\nAnswer: -2\/1351913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 118*f. Let k(l) = 8*l. Let q(h) = 6*h. Let j(u) = 2*k(u) - 3*q(u). Determine j(o(i)).\nAnswer: -236*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*1*sqrt(275) + sqrt(275).\nAnswer: 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*m - 0. Let u = 2 - 10. Put -0.2, m, u in ascending order.\nAnswer: u, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 218 times 921?\nAnswer: 200778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x + 59 + 61. Calculate the greatest common factor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 15752737, 31505489, 47258241, 63010993?\n\"Answer: 15752752*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-24) - (-78)\/36?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes after 9:05 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -8*o + 34. Calculate the remainder when n(-3) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v. Let q(s) = -20165367*s**2. Calculate q(p(o)).\nAnswer: -80661468*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1829188 is divided by 3363.\nAnswer: 3079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4808 - 2392 - 243*w - 2412)*(2 - 6 + 1) to c + a*w and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Total of -31776 and 9.\nAnswer: -31767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 16, 33, 56, 85, 120?\n\"Answer: 3*w**2 + 8*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76408585.\nAnswer: 5, 11, 283, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 858\/36 - 1\/(-6). Let r = 293\/102 - -22\/17. What is the common denominator of r and 338\/c + (-4)\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 23521\/60 + -392. Let d(n) be the third derivative of -1\/360*n**6 + 0 + 0*n + 0*n**3 - 1\/36*n**4 - j*n**5 - 9*n**2. Factor d(i).\nAnswer: -i*(i + 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*j - j - j)*(1 + j - 1) - 2*j - 4*j**2 - j**2 + 3*j**2 + (-j + 2*j + j)*(-j + 0*j + 0*j) + 14*j**2 + 88*j - 88*j as n*j + f + p*j**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2920\/9 or -325?\nAnswer: -325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes before 4:50 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -640790*o**2*s**3*w**2 + 8*o**2*s**2*w**2 - 10*o**2*s*w + o**2*w + 3*o*s**3 + 8*s + 3*w**2 wrt s?\nAnswer: -3844740*o**2*w**2 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/3 - (-3)\/(-9). Let z be 5\/2 - (-3)\/(-6). Suppose o = z*h - h - 2. Sort -2, h, 1 in increasing order.\nAnswer: -2, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0.1  (b) 4\/3  (c) -2\/3  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 2*i - 17. Let u be v(10). Let n be (u\/5)\/(1\/1). Which is the nearest to 1?  (a) 5  (b) -1\/7  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1.1402 and 0.1.\nAnswer: -1.0402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3551542 and 697718.\nAnswer: 5246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 6*s**2 - 1. Let n be q(-1). Suppose 8*f - 3*f = n*k - 275, -2*f - 6 = 0. Let c(v) = -v + 52 - k. Let u(d) = -6*d**2. What is c(u(m))?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 98846 is divided by 487.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5733333*u**4 - 6*u**2 + 39*u - 43 wrt u.\nAnswer: 137599992*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-10) - (-10)\/50. Solve -2*b - 3*m = -f*b + 11, 5*b - 4*m - 7 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 6*t**2 - 3*t**2 + t**2 + t - 5 + 7*t**3 - t**2. Does 13 divide s(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -25, 27, -3, 3 in decreasing order.\nAnswer: 27, 3, 2, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, -0.02219, -2\/17, 0 in increasing order.\nAnswer: -2\/17, -0.02219, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13822, -13861, -13864, -13813, -13690, -13477?\nAnswer: -13156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 165523730?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 12, -7, -19, -5, -3, 4 in increasing order.\nAnswer: -19, -7, -5, -3, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 3, i: 17}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -10*s**2. Let a(u) = -119*u**2. Let p be 8\/(-16)*(8 - 1)*-10. Calculate p*v(q) - 3*a(q).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1500593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1399189 and -0.033.\nAnswer: -46173.237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-78)\/(-260))\/((-24)\/(-10) + -2). Sort 2\/33, q, 1.1 in decreasing order.\nAnswer: 1.1, q, 2\/33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 3*i**3 - 3*i**2 - 8*i - 7. What is the units digit of g(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 + 3. Let x = 690 + -689.6. Sort x, b, -0.03 in descending order.\nAnswer: x, -0.03, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -34 + 34.1. Let w = 3 + -5. Let d = 245 + -243. Which is the closest to d?  (a) 2\/3  (b) u  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -616 - -11163?\nAnswer: 10244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**2 + 2*v - 4. Let d(k) = k**3 + 3*k**2 - 3*k + 1. Let y be d(-4). Calculate h(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + -2. Suppose -3*u + 10 = 2*n, -4*u + 14 = -0*n + j*n. Suppose -i - 1 = -n. Which is the nearest to -1\/6?  (a) 0.4  (b) -0.1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3557473747 to the power of 1\/5, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 66598.35mg in micrograms?\nAnswer: 66598350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of -c**3\/6 - c**2\/2 + 3*c. Calculate the lowest common multiple of 4 and i(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (18\/(-12))\/(3\/6). Let r = 5505 + -5506. Let b(m) = -4*m**2 - m - 1. Let g be b(-1). Put g, 5, i, r in descending order.\nAnswer: 5, r, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-1\/40))**(1\/15)*(o*(o*(o*o**(2\/27))\/o)\/o)**(-11) assuming o is positive.\nAnswer: o**(-63809\/5400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 180 + -79. What is the remainder when i is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 43869454 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 62 + (37 + -85 - -42).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3501 (base 9) to base 7\nAnswer: -10363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 33739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 224, 1849, 6270, 14891, 29116, 50349?\nAnswer: 79994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -180829\/251028 + -11\/3303. What is the common denominator of v and 119\/6?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25608287, 25608285, 25608283?\nAnswer: 25608281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1448137140?\nAnswer: 2, 3, 5, 24135619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14*b**4 - 2*b**2 - 9*b**4 + 30*b**4 + 39 with respect to b.\nAnswer: 28*b**3 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*x**4 + 230*x**3 + 315*x**2 + 160*x + 20 = 0.\nAnswer: -2, -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 569519.\nAnswer: 251, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 134440 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (-91)\/(-7) - (1 - -10).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3347752)\/(-52) + (-6)\/(-39). Suppose -5*s - w = s. Round s to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 2*c**3 - 10*c**2 + 11*c - 10. Let n be m(4). Suppose -5*o + n*f + 1557 = -408, -4*f = 5*o - 1935. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4186\/177 + 1\/59. Is -0.01 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -9 + 1 - 29*k + 19*k - 6 - 32*k. What is the remainder when m(-2) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes before 7:13 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 + 8*o**2 - 5*o - 4. Suppose 2*x - 13 = 1. Let q be j(x). Factor -q*m**4 + 6*m**2 - 6*m**4 + 0*m**2 + 3*m**3 + 7*m**4.\nAnswer: -3*m**2*(m - 1)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1886 (base 11) to base 2\nAnswer: 100101011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*(k\/(k\/(k\/k**3*k)*k))\/k)**(-37))**(-2\/9) assuming k is positive.\nAnswer: k**(-148\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-3 + sqrt(720)*1 - sqrt(720)) - -4*(sqrt(720) + (sqrt(720) - (((sqrt(720) + -1)*2 - sqrt(720)) + sqrt(720)) - sqrt(720) - sqrt(720))))**2.\nAnswer: -3264*sqrt(5) + 46369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 74 and 29415.\nAnswer: 58830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the third derivative of -s**5\/120 + s**4\/12 + s**3\/3 - 4*s**2. Let c(p) be the first derivative of o(p). Determine c(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 75*b + 2 - 67*b + 4896*b**2 - 8*b to the form d + t*b + a*b**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 23 + -19. Put -11, y, 2 in descending order.\nAnswer: y, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/2 and -111\/1273495340.\nAnswer: 1273495340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t + 6, -4*f = 5*t - 3*t + 22. Let a(x) = -x**2 - 6*x - 5. Let z be a(f). Solve -k + 4 = -z*o + 11, -3*o + 19 = -4*k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -31, -29, 3, 95, 277?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-9 - -15) + (-2 - 403). Let m = -8759 - h. What is m rounded to the nearest 100?\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**2 - 9*z - 1. Let i(q) = 5*q**2 + 48*q + 3. Let c(a) = i(a) + 6*w(a). Let m(t) = t**2 + 13*t + 7. Give -9*c(u) - 4*m(u).\nAnswer: 5*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 300*g - 351*g = -385050. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2141432140 (base 5) to base 9\nAnswer: -8651378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/4 + 1 - (-2)\/(-4). Find l such that 4\/9*l + 2\/9*l**p + 2\/9 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.015 + -2.115. Let h = 2.644 + -0.224. Let z = m + h. What is z rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -v - 0*n + 17, -5*n - 21 = -v. Suppose -4*x = 2*d - 2*x - 6, 2*x - v = 3*d. Suppose 0 = 2*o - 1 - d. Solve -h + o - 2 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -18, -43, -86, -147, -226, -323?\n\"Answer: -9*n**2 + 2*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4294163983?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-306)\/39 + 4\/(-26). Let q = y + -1. Let k be q\/(-45) - 1\/5. Which is smaller: k or 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/(-12))\/((-171)\/(-38)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/50 of a millennium?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - 2. Let s = 6 + t. Does 17 divide s*4*(-6)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 + (2\/(-10) - (-42055)\/25). Differentiate q*a - a**3 - 50 - 1673*a + 0 wrt a.\nAnswer: -3*a**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 3*o**4\/4 - 39*o**3\/4 - 87*o**2\/4 - 45*o\/4 = 0?\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3.22 + -0.48. Let q = -310.2 - -306.422. Let k = q - h. Round k to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 75372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m + 2*m - 3. Let j be (-7)\/2 - m\/(-2). Let y = 4 + j. Let i(l) = 7*l**2 + l - 1. What is i(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 20*b**2*r + 5*b**2 - b*r - 4*b - 31*r - 6 with respect to r.\nAnswer: 20*b**2 - b - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*h - 5*o = -63*h + 20120, -2*h - 2*o = -8048. Round h to the nearest 100.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -87, -0.5.\nAnswer: -87, -0.5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1692, -3435, -5210, -7017, -8856?\n\"Answer: -16*z**2 - 1695*z + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let z = 2723 - 2727. Sort -7, 4, z, 25, 3 in ascending order.\nAnswer: -7, z, 3, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*t**5 + 68465*t**4 - 516835*t**3 - 5609665*t**2 - 6936040*t - 1911700 = 0. Calculate t.\nAnswer: -5, -1, -2\/5, 14, 2731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(3\/2))**(-28)\/(p**(-1\/2))**43)**3 assuming p is positive.\nAnswer: p**(-123\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 2609*m. Let w(x) = -422097*x**2. What is r(w(p))?\nAnswer: -1101251073*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -462547\nAnswer: 5\/462547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j + 2*j + 0*j)*(-1 + 0 + 0)*(3*j**2 - 4*j**2 + 4*j**2)*(5*j + 0*j - 2*j).\nAnswer: -27*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:51 PM and 2:13 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/(-12) + 40\/(-12). What is the units digit of 34\/(-17)*q\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((6 + 0 + 5)*(2 + 2 - 3) - 2 + 5 - 1)*(-5*j + 4*j + 3*j)*(-44 + 6 - 34) in the form a + n*j and give n.\nAnswer: -1872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.008 - -0.028. Let w = 56 - 13. Let d = w + -216\/5. Do d and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -86*t + 6. Let i be q(4). Let n be i\/(-10) - 2\/(-10). Let h = 49 - n. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1733 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 24760240129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-2)*3)\/(217\/((-485212)\/(-645))).\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f - 227*f + 928 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of i**7\/840 + i**6\/120 - i**5\/30 + i**4\/8 - 49*i**3\/3 + 37. Let d(b) be the third derivative of w(b). What is d(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**4\/4 + 2115*f**3\/2 - 4481677*f**2\/4 + 4468995*f - 4464769.\nAnswer: -(f - 2113)**2*(f - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/11 - (-450)\/66. Let f(b) = b**2 - 2*b + 8. Let v(s) = -2*s + 4. Let o be v(0). Let k be f(o). Solve -4*l = q + 2*q - i, -l + k = -4*q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3052614 (base 8) in base 3?\nAnswer: -1112001211020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -307 from -262089743034.\nAnswer: -262089742727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-60)\/1110)\/(80\/(-740))*(-5)\/(5\/202)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rhhlrhr. Give prob of picking 2 h.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 13*m + 432. Let y be j(-33). Solve 0 = 5*t + y*g + 8, 4*t - 6*g = -4*g - 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 7 = 3*d, 5*d = -n - 2132 + 2099 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 45  (b) -2  (c) 7  (d) -2\/427  (e) 43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.1 - -2. Let o = 1.49 - 4.49. Which is the closest to -3?  (a) 3  (b) w  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: d (base 15) to base 12\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -316 = 7*c - 820. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 + (7 - 0) - 1. Suppose 0 = n*d - 2*s - 11, 0 = -2*d - 2*s - 3*s + 16. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x - 1. Let j be i(3). Suppose -j*s = s. Let k = -6 + 10. Solve -8 = -s*q - k*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -78416345*x**2 + 17197051 with respect to x.\nAnswer: -156832690*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 52.71734 - 52.7. Let g = -8.02666 - d. Let z = -8 - g. Round z to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -169 smaller than 578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17861, 71428, 160711, 285710?\nAnswer: 446425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/4  (b) 423  (c) 13.8  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 12) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -180 divided by -45\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 182024 = -a - a. Let v = a - -182297031\/2003. Let d = 102103\/20030 - v. Calculate the common denominator of -43\/8 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 5*l + 324, y + 127 = 2*l - 4*l. Let p be 3\/((-21)\/1120 + 0). Let m = l - p. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*o - 19 - 11 + 0*o + 5*o + 20.\nAnswer: 10*o - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 833 (base 12) to base 5.\nAnswer: 14231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 591900 and 6000?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 246 + -241. Solve -n*p = z, -3*z + p = -2*p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -63\/7400 and -73\/400.\nAnswer: 14800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5172*w**5 + 4691*w**3 - 5104888*w + 6.\nAnswer: -103440*w**3 + 28146*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -2*o**2 + o + 5. Let x(u) = -22*u + 906 + 46*u - 25*u - 907. Calculate -p(y) - 4*x(y).\nAnswer: 2*y**2 + 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:16 AM and 6:23 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqoqoooqqqqoooooooo. What is prob of sequence qqq?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 798a417 - -2?\nAnswer: 798a419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*-5*(sqrt(204) + sqrt(204)*2 + sqrt(204)))\/(-5*-4*sqrt(192)))**2.\nAnswer: 153\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3130?  (a) 2  (b) -34  (c) 0.123  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 400391 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (32\/(-2600)*5)\/(18\/(-225)).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47270 is divided by 23634.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 2*t**4\/5 - 6*t**3 + 26*t**2\/5 + 6*t - 28\/5 = 0.\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-6) - ((-2)\/(-11) + (-4524)\/1287)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s = 143*v - 148*v + 28, s + 5*v = 6 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 3 m when four letters picked without replacement from qmqqmmmqqmmqm?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102 = -34*g - 18*g - 990 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 2 + 665*w - 39 + 8. Is p(1) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the third derivative of 0*t + 6*t**2 + 0*t**5 + 0 + 5\/24*t**4 + 0*t**3 - 1\/15*t**6. Find the second derivative of p(g) wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2452854, -4905712, -7358570?\n\"Answer: -2452858*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 5085 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/(-1)*690\/(-40). Find the second derivative of -7*w + x*w**2 + 5*w**5 - 138*w**2 wrt w.\nAnswer: 100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(220)\/(2*sqrt(4)))\/(sqrt(44) - sqrt(220)\/sqrt(5) - sqrt(11)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20 - -24. Suppose 0 = l - n*a + 47 - 146, -2*l + a + 205 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2 + 2*b - 5. Suppose -1 - 34 = -5*n. Suppose -6 + 531 = n*i. Calculate the remainder when i is divided by c(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 84 divide 40920806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of 4*x**3\/27 - 15656*x**2\/9 + 61277584*x\/9 + 11552. Factor i(o).\nAnswer: 4*(o - 3914)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 3*o + 1828 = 0, -13*b = -14*b + 2*o + 914. Does 116 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**2 - 176*o + 1144. What is l(7)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -10, 0, 3659, -3 in descending order.\nAnswer: 3659, 0, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*i + 46*i + 18 = 0. What is the greatest common factor of 66 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 45 - 42. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73905154 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12528)\/(-2784)*(8\/666)\/1.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 24\/(-14)*37*84\/(-12432)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000008497 rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 539 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10 + -2. Let y be (-18)\/4*c\/(-6). Let d = y + -3. Solve -5 = -d*b - 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 90 + -89.5. What is the closest to 1 in -0.04, 2\/11, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 4*x**2 + 5*x - 7. Suppose 4*h = s - 4, 2*h = 4*h - 2. Let n be -2 + 5 - 1 - (s - -2). Let a be f(n). What is a rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ood when three letters picked without replacement from dooddo?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.5459*0.07\nAnswer: 0.038213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 7752  (b) -5  (c) 119  (d) 2\/7  (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1594*c = 1598*c + 5*d - 40, c + 3*d = 31 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of 2*i**2 - 14. Let k be j(-2). Calculate the common denominator of -31\/28 and ((-2)\/k)\/(-1)*(21 + 17).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 728079350 to the nearest 1000000.\nAnswer: 728000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 15, f: 3}. Give prob of sequence fjff.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23283 is divided by 23253?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 2*x + 0*x - 74 = 0, 0 = -4*u + 4*x + 92. Let r = u - 30. Let l be 10\/(-36) - 1\/r. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 835458480.\nAnswer: 2, 3, 5, 1160359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 + 5 + (3 - 4). Suppose -5*l = -2*f - f + 70, 5*l + 10 = 0. Suppose -f = 2*r - j*r. Which is smaller: 6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 559842971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -113*d - 11540. Determine s(-102).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 + 15. Let y(d) = d**2 + 215*d - 220*d - 2 - p. What is the units digit of y(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) -3  (c) 0.61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 less than -0.114279?\nAnswer: -0.214279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5795684 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**3 + q**2 + q + 14. Let z be h(0). Suppose 140 = 4*j + j. Calculate the greatest common factor of z and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 101*6.87\nAnswer: 693.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 312 + -307. Let t be -1 - 3\/9*3. Let y = -6 - t. Sort -5, y, w in decreasing order.\nAnswer: w, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fkw when three letters picked without replacement from kwfkk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - -4. Let g = -6 + 11. Which is the smallest value?  (a) v  (b) g  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -45 + 43. Which is bigger: -0.17 or a?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -167.927084 to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and 16592?\nAnswer: -8296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1941 and 2922.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 + (37 - 22 - 23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tbbtttabtwtamtbawb. What is prob of picking 1 m and 1 w?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 1 - 7*t + 24*t**3 + 5*t + 129*t**3. Let p be k(1). Suppose -2*u + p = -510. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1477 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 79 - 36. Suppose w + 10*s - 5 = 5*s, 0 = -2*w + s + k. Let f = 289 - 282. Calculate the remainder when w is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -47 + 48. Let z be x + (-3)\/(-18)*-3. Let l = -1 + -1. Which is the closest to -0.2?  (a) l  (b) z  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 116215 (base 7) in base 5?\nAnswer: 1141001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 - ((-2)\/(-2) - 0). Let r be (-1)\/(v + (-3)\/6). What is the units digit of 4\/4 - (r - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {x: 1, l: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that 108*u**3\/5 - 209556*u**2\/5 + 20372271*u - 40577070 = 0.\nAnswer: 2, 5815\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p + 2*p + 0*p)*(-67 + 19 + 22 + (-1 + 3 - 1)*(-4 + 1 + 5) + 5 - 3 - 1).\nAnswer: -46*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*w - 3699 = 4623. Solve 0 = -4*h - 130 + w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 2*l - 6. Let c = -28 + 26. Which is smaller: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 20, 2 + 3 = 2*x - s. Calculate the common denominator of 545\/75*6\/4*1 and (260\/30)\/(-6 + x).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 198990 = 20*v + 768410. Let l = -13568 - v. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.0384  (b) 0.2  (c) -3  (d) 5825\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*t = 17*t - 45. Let f(g) = 8*g**2 - 23*g**2 + 5*g + 4*g**3 - g - 3*g**3 - 5. What is the units digit of f(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19026 divided by 151?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -26366 * 15.\nAnswer: -395490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1035 and 828?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.09 * 0.04.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 475064 is divided by 13196.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 25 = 2*i + j, 4*j + 56 = -4*i. Is -10 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/7*6*5\/30. Let k(x) be the first derivative of b*x**2 + 10 + 0*x + 2\/21*x**3. Determine q, given that k(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-33)\/4)\/3)\/(-15*(-16)\/960).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -2*r**2 - 686. Let u(x) = -3*x**2. Give u(z(l)).\nAnswer: -12*l**4 - 8232*l**2 - 1411788","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7429.005085 + 7429. Round w to 4 dps.\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the third derivative of -5*q**4\/6 + 11*q**3\/3 + 108*q**2. Let b be v(1). Sort -4, b, -6, 8 in descending order.\nAnswer: 8, b, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 j when three letters picked without replacement from lflxulxxflujulc.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 8570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -942 times 213\nAnswer: -200646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.08, -0.2982, -2\/9, 2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -49 - -49.2. What is the nearest to -3 in -1\/5, 1\/3, w?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 2 b when four letters picked without replacement from uppccbnbcp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccrc. What is prob of picking 3 c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -699*i + 55*i + 4576 = 1717 - 13241 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12837456\/5 + 2580792. Let p = r - 13248. Let h = -53 + p. Which is the nearest to -0.4?  (a) h  (b) 5  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29032536749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wp when two letters picked without replacement from pldpdddlwpwaappdllpp?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 9 = -9. Suppose 0 = -5*t - o + 5814, -t + l*t + 1167 = -4*o. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -y - 120. Let g be (64\/y - -2)\/(6\/(-20)). Solve -g*i + 9*i + 25 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 912072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 4 = 3*s, 2*g + 2 - 4 = 0. Let b be (-322)\/(-168) - -2*1\/(-12). Do b and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 411364191 less than -13.04011?\nAnswer: -411364204.04011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 612 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 7 = -3*b. Let h = b - -11. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*f - 93*f = -58220. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from fjlvjvvv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((5 + 3*(sqrt(200)*3 + -3))*5)**2 + 2.\nAnswer: -18000*sqrt(2) + 405399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13.154 + 9.154. What is the closest to 86 in l, -1, 1\/21, -0.4?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2117 + -2118. Let g = -1 + -2. Is l > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -38\/5089 and 46\/7997?\nAnswer: 55979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k*(k*k*k**0*k)\/k*k)\/k*k*k**4)\/((k\/((k*k*k*k*k**(-8)*k)\/k))\/((k\/(k**(-7)\/k)*k)\/k))*(k**(-2\/9)\/k*k**(1\/3)*k)**(2\/41) assuming k is positive.\nAnswer: k**(4799\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jg when two letters picked without replacement from fgygjgefgegfggjfgeg?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 84*w**4 + 40575*w**3 - 1722231*w**2 + 17511240*w + 627600 = 0. Calculate w.\nAnswer: -523, -1\/28, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 14, m: 5}. What is prob of picking 4 m?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 560, 4, 0 in increasing order.\nAnswer: 0, 4, 560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 - u - 1. Suppose -4*r + 5 = 3*v, -r - v + 0*v = -1. Let a be o(r). Suppose -a*x = -4*x - 2. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14330 = -6*b - 13532. What is the greatest common factor of b and 7049?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 174 divided by 138179.\nAnswer: 174\/138179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2\/3, 540.\nAnswer: -3, -2\/3, 540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes after 11:29 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ten thirds of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i - 2. Suppose -2*q + 4*y = y + 6, -4*y = 16. Let o(h) = 5*h - 9. Give q*t(s) + 2*o(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and -462.92?\nAnswer: -2314.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8*(7\/8)\/(6601\/(-5658))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -301*s**3 + 689*s**2*y**2 - 66*s**2 + 2*s*y**2 + 502*s*y - 1453 wrt s.\nAnswer: -1806*s + 1378*y**2 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-30))\/(116\/(-30) + 4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = 12 - 2. Let f be 375\/c*(-36)\/(-15). Let b be (-1)\/(-5) - 10\/f. What is the smallest value in b, 1\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a century in months?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - -9. Find the first derivative of c*l + 3 - 4*l - 2*l + 0*l wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26744?\nAnswer: 2, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 7*d - 12. Suppose -3*o + d*i = -i - 1122, 3*i = -2*o + 733. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11105.52 seconds to minutes.\nAnswer: 185.092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -39*l**2 - 21*l - 24. Determine r(-1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u**2 + u**2 + 2*u**2)*(6*u + 2*u - 4*u) - 25*u**3 + 23*u**3 + 16*u**3.\nAnswer: 22*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the third derivative of 14*o**5\/5 + 43*o**4\/6 + 2*o**3\/3 - 119*o**2. What is v in w(v) = 0?\nAnswer: -1, -1\/42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + -177. Let s = -3521.43 + 3701.4. Let b = n + s. What is b rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes before 10:18 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -8 and -122?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -5*m + 126. Suppose -m*j + 177 = -759. Solve -6*z = 3*z - j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in nine sixteenths of a centimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -205, -164, -99, -16, 79, 180?\n\"Answer: -b**3 + 18*b**2 - 6*b - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -4*t + t. Suppose -4*x + 46 + 16 = 2*p, 0 = t*x + 4*p - 28. Calculate the remainder when 30 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 16 + -7 + 27\/9. Is 84 a factor of (t\/(-16))\/(1\/(-2464)*2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21609792?\nAnswer: 2, 3, 37517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/9 + 24\/9. Find the first derivative of v - 3 - 1 + 3*q**2 + 0 wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*p + 2*x - 7922 = -13*p, 0 = p - 3*x - 1998. What are the prime factors of p?\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y**4\/3 - 15644*y**3\/3 - 795899*y**2\/3 - 10230124*y\/3 - 5800596 = 0 for y.\nAnswer: -15593, -31, -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*l + 3. Let w be (1 - 2)\/(12\/(-5 - -17)). Let z(o) = -9*o**3 - 3*o**2 - 5*o - 3. Let s be z(w). What is the highest common divisor of l and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-45)\/10*6\/(-18).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2 - 5*q + 4. Let l be f(3). Let o = l + 3. Suppose 3*k = -k + 20. Calculate the smallest common multiple of k and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2262.2 - 2268. Put 0, 3, -3\/4, z, -1 in descending order.\nAnswer: 3, 0, -3\/4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -11019, -44854, -101233, -180150, -281599?\n\"Answer: d**3 - 11278*d**2 - 8*d + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 21 = -5*u, -43 - 39 = -6*v + 4*u. Suppose -5*y + 48 + 22 = 0. Find f, given that f + v + 5*f**3 + 9*f**2 + 2*f - y = 0.\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 + 0)*1*3. Let t be (-1 + c)\/((-8)\/(-116)). Let i = t + -27. Solve -l - i = -1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*a**3*k**2 + 45*a**3*k + a**3 + 17*a**2 - 4*a + 7*k**2 + 6 wrt a.\nAnswer: -18*k**2 + 270*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - 4) + (2 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 191 a factor of 289595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*h - 10, 4*t - 40985 = h - 40962 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 61720*g**3 + 61809*g**3 - 123528*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 7) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5320 + -23306. Let b = -11099 - p. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 86 and 688?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p + 4*p + 8. Let n be (-3)\/(-126)*p*3. Let f = -3.1 + 3. Which is the closest to 1?  (a) f  (b) -0.5  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hvs when three letters picked without replacement from vfvifvffsvh?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 295*j - 532456 - 399944 = -j. List the prime factors of j.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/8  (b) -2  (c) 5  (d) -3\/5  (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1524 by -1524.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*w - 83 = 31*w + 147 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 2 = -2*a, 4*a = a. Suppose 2*g - 5*g = c - 18, m*c = -5*g + 30. Let t be g\/16 + (-3)\/8. Solve 3*i + 4*v - 3*v + 19 = t, -3*i - 35 = 5*v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -5449750, -5449749, -5449748, -5449747, -5449746?\n\"Answer: a - 5449751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 3*w**2. Let j(k) be the first derivative of -1253*k**3\/3 - 2720. Give n(j(l)).\nAnswer: 4710027*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the third derivative of -k**8\/16800 - 11*k**7\/6300 - k**6\/75 + 3*k**5\/25 - 3*k**4\/4 - k**2. Let z(p) be the second derivative of t(p). Factor z(f).\nAnswer: -2*(f - 1)*(f + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 332.9 - 351. Let t = -19 - w. Which is the nearest to t?  (a) 4  (b) 3  (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 3\/185  (c) 36  (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 - 13. Suppose 5*s - m - 1492 = 0, s - 31*m = -33*m + 294. What is the remainder when s is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1096092 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -6*u**2 - 6. Let r(q) = 13*q**2 + q + 13. Let p(n) = -9*a(n) - 4*r(n). Let g(o) = 4*o**2 - 7*o + 4. Give -4*g(j) + 7*p(j).\nAnswer: -2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 z when two letters picked without replacement from qqbppezz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -13\/2264075?\nAnswer: -13\/2264075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 + 149*m. Let c(y) = -171*y + 18. Let n(r) = -75*r + 8. Let a(o) = -4*c(o) + 9*n(o). Calculate a(h(u)).\nAnswer: 9*u**2 + 1341*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 21*q. Let i(o) = -39*o - 27. Let m(r) = 3*r + 2. Let a(g) = -4*i(g) - 54*m(g). Calculate v(a(n)).\nAnswer: -126*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/(-1) + 6\/(-4))*53\/424. What is the closest to -1\/4 in 5, 3, v, -4\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 289.000502 - 289. Round v to five dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*k**3 + 0*k**3 - 3*k**3 - 8*k + 0*k**3 wrt k.\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 9*h**2 + 7*h + 8. Let k(f) = -f**2 - f - 1. Suppose 2*w = i - 1, -5*w + 2*i + 4 = -3*w. Let m(d) = w*c(d) - 24*k(d). Find g, given that m(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**3 + 7*h**2 - 15*h - 40. Calculate the lowest common multiple of 148 and k(-8).\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/8 and -37\/366.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-6))\/(1\/4*2).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*z**5 + 2*z**4 - 2*z**4 + (0*z**3 + 3*z**3 - 4*z**3)*(-424519 + 424519 + 2505*z**2).\nAnswer: -2508*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*d**2 - 3*d**2 + d**2 + (-2*d + d - d)*(-32 + 32 + d).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 217 + -217. Let m(c) = -9*c + 18. What is the remainder when 25 is divided by m(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 + 9. Let f(n) = -2*n**3 + 2*n**2 - 3*n + 5. Let a(l) = l**2 + 3*l**2 + 1 - 2*l**2 - 2*l**3 + 3 - 2*l. Calculate d*f(p) - 5*a(p).\nAnswer: 2*p**3 - 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 3 + 4)*(0 - 4 + 3)*(4*m + 2*m**2 - 4*m) to the form g*m**2 + j*m + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -4305, -4983, -5661?\n\"Answer: -678*z - 3627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 624, 626, 628, 630?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 52, 208, 642, 1492, 2896, 4992, 7918, 11812?\nAnswer: 16812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*g - 0. Let b be 2 + 1*(g + -2). What is the derivative of -3*u + 3*u + b - u**2 wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2 and (16\/(-5))\/((-9)\/45)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t. Let d(s) = 9*s. Let m(p) = -4*d(p) + 33*q(p). Let w(b) = 4*b**2. Determine w(m(r)).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 0, 4.4, -2, 4 in ascending order.\nAnswer: -2, 0, 0.1, 4, 4.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6 - 9) + 0\/(-2). Let r be 22 + -8 - (-1 - j). Suppose 0*i = 4*i - r. Solve 4*n - n = i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7101453 or -7101452?\nAnswer: -7101452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 636 and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 80147769529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 434380.\nAnswer: 2, 5, 37, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 6 - 4*w**3)*(1 - 5 + 3 + 0 + 2 + 2 + 3 - 2 - 2 + (1 - 2 - 1)*(2 - 4 + 0)) as l*w**2 + f*w + a + y*w**3 and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 + 8*a**2 + a - 9. What is v(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91*w + 77*w + 21056 = 0. Calculate the highest common factor of w and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-74)\/296)\/((1\/8)\/(-1)). Let m(z) = -51*z + 106. Let k be m(p). Solve -5*r - 3*y - 1 = 0, -k*y = -3*r - 3 + 14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -g - 3. Let o(r) = -2*r**3 - 9*r**2 + 2*r + 32. What is the lowest common multiple of o(-4) and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 271764 + -815\nAnswer: 270949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (215*x + 196*x + 485 - 412*x)*(0 - 4 + 2)*((-x + x - 2*x)*(-2 - 1 + 5) - 3*x + x + 4*x).\nAnswer: -4*x**2 + 1940*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -23 (base 10) to base 11\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11.53682 litres?\nAnswer: 11536.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 5*x + 6 = 0, 5 = -5*x - 5. Find the common denominator of 6\/5 and (30\/9)\/(n\/(-15)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(-40) + 255\/50. Let v be ((-24)\/60)\/(38\/40 - 1). Solve f*a + v = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 127 + -216. Let d = -41 - o. Calculate the remainder when d is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -44 + -55 + -46 + 104?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 4*g + 5*t - 7*t, 3*t = g. Let x = 0.014 - 30.014. Let o = x + 69. Which is the third smallest value?  (a) -0.5  (b) g  (c) o  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 36254 and 4?\nAnswer: 72508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*v + 12996 = 155*v. Calculate the least common multiple of 133 and v.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*p - 887 = -343, -2*c - 4*p + 542 = 0. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2860102 is divided by 158?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 124, 226, 328, 430, 532, 634?\n\"Answer: 102*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5049607 is divided by 420798.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(2\/3))**(-7)\/(r**(6\/5)*r*r**(-3\/2))*(r**(2\/3))**(1\/52)*r**2\/(r\/(r\/((r*r**(3\/4)*r)\/r))) assuming r is positive.\nAnswer: r**(-1327\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/8)\/(260\/832)*((-10)\/(-5))\/(-8).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4127860 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1235 - -1863. Let c = m + -627.99999813. Round c to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.04 and 1.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(4320) - sqrt(4320))\/((sqrt(40)\/sqrt(4) + sqrt(10))*4 + sqrt(10)).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.07 + -0.07. Let a = 0.401 + -0.001. What is the nearest to -0.1 in -1, a, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**3\/2 - 4*t**2 + 6*t.\nAnswer: t*(t - 6)*(t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -3027087 + -55\nAnswer: -3027142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -18 - -20. What are the prime factors of ((-312)\/(-36))\/(g\/9)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19, 98, 231, 418, 659, 954?\nAnswer: 1303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1020.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7691 - -12853. Suppose 52*b - 50*b = r. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -43751*m**2 + 56*m - 28 wrt m?\nAnswer: -87502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 9, m: 3}. Give prob of sequence mbbb.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -2*m + 5, 0*m + 3*m - 7 = 2*v. Suppose -5*d - y + 14102 + 7536 = 0, -m*d + 12987 = 2*y. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 51*h + 2. Let p be l(-7). Find the common denominator of (-4)\/(-10)*p\/4 and 1\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -33*a**3 - 3*a**2 + 101*a**3 - 28*a**3 - 2*a**4 - 3*a - 3 - 40*a**3 in the form h*a**4 + g*a**2 + t*a**3 + z + l*a and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(1*(1*sqrt(1575) + sqrt(1575) - sqrt(1575)))\/(sqrt(36) + 2*(sqrt(144)\/sqrt(4) - sqrt(36))).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, f: 1, z: 1, m: 1, b: 1, s: 1}. Give prob of sequence zm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2416843, 2416829, 2416815?\nAnswer: 2416801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*o - o + o)*(-2 + 62*o + 4*o**3 + 9*o**2 - 62*o) in the form j + h*o + k*o**2 + c*o**3 + z*o**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5834, -11656, -17468, -23270?\nAnswer: -29062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the third derivative of q**5\/2 - q**4\/6 + 13*q**3\/2 - 3*q**2. Is o(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5675 in -2, 1\/5, -0.5, 2, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 2\/3*k**2 - 32\/9 - 94\/9*k = 0.\nAnswer: -1\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 81  (b) 0.075  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7438 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/2670 and -109\/53074.\nAnswer: 70853790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-4)\/33)\/4)\/(78\/(-468))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/12*0\/1*(-1)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, z: 3, g: 4, m: 3}. Give prob of sequence mz.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -600*v + 586*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 4965+87.41\nAnswer: 5052.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65717 + 65715 - 6*y**3 - 131432.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-88)\/(-6))\/(318\/54 - 6). Let x = 206 + o. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -6  (b) -0.3245  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.3, -7\/2, 0, -1\/4723, -0.1, 0.3?\nAnswer: -1\/4723","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of 5*l**3\/3 - 9008*l. Let r(y) = -830*y - 1. Calculate g(r(a)).\nAnswer: -8300*a - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kgggggggggkg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -116 - -118. Let q be (-2 - p)*(-39)\/12. Suppose -2*z - 10 = 0, 5*v - 2*z - 3*z = 610. Calculate the greatest common factor of q and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -61*(2\/(-2) + -1). Let h = r + 121. Let f be h + ((-4)\/(-2))\/(-2). What is the greatest common factor of 22 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 32\/7 + -107\/28. Let f(a) = a**3 - 2*a - 1. Let r be f(-1). Suppose 3*y + r*y = 0. Which is smaller: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 420823 is divided by 2697.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 25139  (b) -2\/13  (c) 2  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 530 = 5*m + 591, 5*t - 3 = 3*m. What is the nearest to m in -1\/3, -0.07, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 33554 + 0.024.\nAnswer: 33554.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 771*-0.075204.\nAnswer: -57.982284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1132 (base 5) to base 7.\nAnswer: -326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 6:14 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 20442 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 4*z = 569, y = 5*y + z - 2208. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 195204052\/7 and 27886294 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 153 and 9657.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16*d**4 + 156*d**3 - 664*d**2 + 156*d.\nAnswer: 4*d*(d - 3)*(d + 13)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 + 20. Solve 4*u + 7 = -3*w - q, -3*w = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 587 is divided by 108?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -188 - -473. Let d = -0.38863 - -282.95863. Let w = d - y. What is w rounded to 1 dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1969861760 to the power of 1\/3, to the nearest integer?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 239*a**2*f**3*g*j - a**2*f**2*g*j + a*f**3*j - a*f**2 + 3*a*f*g*j - 2*a*g*j + 16*f**3*g*j wrt a.\nAnswer: 478*f**3*g*j - 2*f**2*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -o**3 + o**2 + 2*o = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/(-8) + (-48)\/(-10368)*-414?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6369573 by 4.\nAnswer: -6369573\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -250 (base 8) in base 12?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1048697707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 21*a - 3. Let t be s(3). What is the highest common divisor of 20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 134 + -89. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:48 PM and 10:36 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 49593 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-20)\/((-6)\/(-4) + (-22)\/44). Which is smaller: -197\/10 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*k**3 + 3*k**3 + 1088 - 3322 + 1114 - 14*k**3 + 1120.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17959575 is divided by 142?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from baqxz. What is prob of picking 1 z and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -26?  (a) 2\/5  (b) -5\/3  (c) -0.3  (d) 89  (e) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (-91)\/21 + 259\/21.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 13*x**3 + 11*x**2 + 13*x - 4. Let v(m) = 7*m**3 + 6*m**2 + 7*m - 2. Suppose 3*i - 578 = -611. What is i*v(w) + 6*a(w)?\nAnswer: w**3 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d**2\/3 + 64123*d - 625157\/3 = 0.\nAnswer: 13\/4, 48089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 - (-6 - 25) - 32 - -19 - 87?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2733 - -2748. Let i(o) = -o**3 + 15*o**2 - 2*o + 27. Calculate i(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -66\/3145 and 63\/62900?\nAnswer: 62900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -81302.44 rounded to the nearest one thousand?\nAnswer: -81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 228\/24*(-132)\/(-209) and 33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 228534623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4.04 - 0.04. Let o = -0.9 + -0.1. Let a = 1 + o. What is the nearest to 1 in 4\/7, y, a?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 183141312 and 3648?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/(-1))\/(93\/31)*5\/33.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 36828 = -3*c, 4*q = 5*c + 7*q - 61396. List the prime factors of c.\nAnswer: 2, 7, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95 a factor of 4402300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -16 - -16 - 1*(-3 - 1). Let z(f) = f**2 + 2*f. Let a be z(-2). Solve a = -u*h + 20 - 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3 - (4 - 21\/3*1). Suppose -f + p = -p + 4, n = -4*p + 4. Let x(c) = -2*c**3 - 2*c**2 + 2*c. Give x(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252)\/(sqrt(96)*2)*4)\/((sqrt(54) - (1*sqrt(1944) + sqrt(1944)))\/(-2*-1*sqrt(9))).\nAnswer: -sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1573) + ((sqrt(1573)*-1)**2 - sqrt(1573))*4)*5 - (-2*(sqrt(1573) + -2*sqrt(1573)*-6))**2.\nAnswer: -1031888 - 165*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -13854.754 to 0 decimal places.\nAnswer: -13855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 40\/11 and 41\/437.\nAnswer: 4807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 3*k**2)*(0 + 1 - 3)*(151*k**2 - 32*k**3 + 17*k**3 + 14*k**3).\nAnswer: -6*k**5 + 906*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 150234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**3 + 7*y**2 + 7*y + 8. Let b be l(-6). Suppose -2*s - b*s - 2*k = -86, -s + 2*k = -34. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u**2 + 5*u**2 + u**2)*(-u**2 + u**2 + 2*u**2)*(-122*u + 221*u + 100*u).\nAnswer: 3980*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -73, -0.3, 1\/6 in ascending order.\nAnswer: -73, -0.3, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m, 1 o, and 1 r when four letters picked without replacement from {r: 3, o: 3, m: 4, v: 4}?\nAnswer: 54\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 210.5929 kilograms to nanograms.\nAnswer: 210592900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes after 5:58 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = p + 5*q, q + 11 = -5*p - 14. Let j = 3 - p. Solve -3*y + 4*n = -5, j = -y - 4*n + n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 339978, 340284, 340590, 340896, 341202, 341508?\n\"Answer: 306*m + 339672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-14)\/2)\/7*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21252547*g**5 - 103270619*g.\nAnswer: -425050940*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1550, -1577, -1630, -1715, -1838, -2005?\nAnswer: -2222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 357 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 182529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 92960 and 6142.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -31 + -2 + (-1 - -2). Let t(j) = 2*j**2 + 29*j + 55. Let k be t(-10). Let u = h - k. What is the greatest common factor of u and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hbb when three letters picked without replacement from bbbbhbbhbhbbbbbbbb?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 6*r + 105. List the prime factors of k(0).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a millimeter in micrometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (144\/(-546))\/((-208)\/364)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**2 + 5*t + 2. What is r(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 5*b**4 - 40*b**3 + 90*b**2 - 80*b + 25 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(152) - sqrt(152)*-2)*4*5)\/((sqrt(968) - (sqrt(968) - (sqrt(968)*-1 + sqrt(968))*-2)) + sqrt(968) + sqrt(968) - sqrt(968)))**2.\nAnswer: 68400\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8\/12 + 2\/(-3). Let f(v) = -v**2 + v + 2395. Let b be f(c). Suppose -8*s = -3*s - b. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/((-2)\/(-2))*1. Let t(c) = c**3 - 6*c**2 + 6. Let m be t(6). Suppose r - 1 = -3*k - 7, -m = -k - 3*r. Sort k, u, -2 in decreasing order.\nAnswer: u, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the first derivative of r**4\/4 + 7*r**3\/3 + 2*r**2 - 7*r - 5. Let u(s) = -s**2 - s + 1. Let f(l) = 3*u(l) + v(l). What is f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**6\/(a*a*a**0*a)*(a*a*a**(3\/2)*a*a)\/(((a*a**(-2))\/a)\/a)*(a*a\/(a\/a**3))\/((a\/a**(-1\/10))\/a)*(((a*a*a**(1\/3))\/a)\/a)**(-4\/15) assuming a is positive.\nAnswer: a**(689\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -258 + 498. Is 40 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1097466 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.3 + -0.1. Let o = 6 + -4.6. Let s = o + -2.4. Do q and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 3*q - 2. Calculate the remainder when p(4) is divided by 6\/21 - 589\/(-217).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 <= -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -50*b**2 - 3*b + 7. Let a be u(-4). Let s = a - -1358. List the prime factors of s.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 124 - 124. Let o = 3 + -3.1. Let p = -0.4 - o. Which is the closest to m?  (a) p  (b) 0  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -55\/27 and -109\/1437576?\nAnswer: 12938184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -13*z**3 + 2*z**2 - 7*z + 4. Let c be l(1). Let t(a) = a**3 + 15*a**2 + 15*a. Give t(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 5  (b) -207  (c) 2\/1165\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-5\/9))**3\/(q**17)**36)**(-17) assuming q is positive.\nAnswer: q**(31297\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.006723 to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*i - 27 = -28*i - 5*z, -5*i = 4*z - 42. Solve 3*r - i = -9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 15 = -4*w. Suppose -5*r = w, 0*x - 3*r = x + 2. Suppose 0 = 4*t - 3*t - x. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -2*z**3 - 3*z**2 + 9*z + 2. Let u be g(2). Which is the third biggest value?  (a) 2  (b) u  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 327 + -369. Let g be 1960\/o*9\/(-4). Calculate the greatest common divisor of 45 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5925, -11858, -17815, -23796, -29801, -35830?\nAnswer: -41883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -448019.946 rounded to the nearest 10000?\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g**3 - g**3 - g**3 + (2*g**2 - 2*g**2 - 2*g**2)*(-5 - 3*g + 5))*(4 + 1 - 4)*(16 - 7 + 6)*(g + 2*g - 4*g).\nAnswer: -75*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4.37  (b) -1  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**3\/8 + 173*i**2\/2 - 19933*i\/8 - 46735.\nAnswer: (i - 40)*(i + 13)*(i + 719)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -3*r**2 - 25*r + 20. Let b be f(-9). Solve 2*m = -5*a - 18, b*m - 2 = 4*m - 3*a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 5*m - 3*j - 43, -j = 1. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 2*j, -k - j + 5 = 0. Suppose -3*p + p = -k*w + 12, p = -5*w + 9. What is the third derivative of -4*y**w - 3*y**5 - 9*y**5 + 0*y**5 wrt y?\nAnswer: -720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r. Let x be m(3). Let g be (-13 - x)\/(2\/(-1)). Suppose -2*t = 3*p - 1100003, t - 6*t = -g*p - 2749995. Round t to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 9 = -0, y = 3*f - 12. Let t = -2 - 1. Put f, t, 2 in decreasing order.\nAnswer: f, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3828780273?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 755956?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 3 - 2)*(-711 + 86*u**2 + 711)*(3 + 3 - 4) to y*u**2 + g*u + r and give y.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -2*n - 16, 5*v + 9 = n - 13. Suppose -6*t + 312 = -n*t. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2552 and 464.\nAnswer: 5104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 4680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qbbdbbdbqd. What is prob of picking 2 q and 1 b?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*p - 4*p + 12. Suppose -p*w + 12 = q + 4, -2*w = -q - 12. Find the second derivative of -w*i - i - 13*i**2 + 9*i + 2*i wrt i.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*n = -5*n - 19*n - 97*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*t - 11*t = 24 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/180530 and 44\/35.\nAnswer: 180530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7.4 + -1.4. Let v = -14 + 8. Let c = v + a. Is 0 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 times -320\nAnswer: -3200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 502421?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(176))**2 + -3 + ((1*sqrt(176) + sqrt(176))**2 - sqrt(176)) + 3 + sqrt(176))*-3.\nAnswer: -2640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22624 and 10302?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:23 AM and 10:59 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1067*i**4 - 33602*i**3 - 2*i**2 + 3*i - 855675?\nAnswer: 25608*i - 201612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15419087557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**2 - n - 1. Let p(y) = 3*y - 2. Let h(r) = 3*r - 1. Let f(c) = 3*h(c) - 2*p(c). Let z(k) = 3*f(k) + 6*x(k). Let z(m) = 0. Calculate m.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-21*x - 218 - 5*x + 217)*(0 + 3 - 2) - 2*x + 3*x - 2*x - 2*x - 3*x + 6*x + (3 - 3 - 2)*(-2 + 2 + 2*x))*(21 - 22 + 11)*(-1 + 0 + 2).\nAnswer: -300*x - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -m**4 + 2774*m**3 - 903613*m**2 - 1414956372*m - 260179566084 = 0?\nAnswer: -302, 1689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 169\/552 - 470507\/6072. Let k = 77 + r. Let q = 19725 + -19725.4. What is the second smallest value in -2, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, 0, -1, -4, -9, -16, -25?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l + c - 1434, l - 3*c - 5715 = 5*l. Let i = -861 - l. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 b, and 1 j when three letters picked without replacement from jtjttbtttrtbtr?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 8*p - 16. Let g be j(3). Is 35 + (-7)\/((-28)\/g) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 9 + 0 = -2*v, 3*v - 10 = 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11495 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 39658621 + -39642603.939. Let i = h + -16047. Let x = -30 - i. What is x rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.3 + -0.7. Let x = 1.977 + -6.977. Which is the closest to 2\/5?  (a) x  (b) t  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3905 and 1065?\nAnswer: 11715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v**5\/5 - 17*v**4\/5 + 297*v**3\/5 - 727*v**2\/5 + 42*v = 0. Calculate v.\nAnswer: -14, 0, 1\/3, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + sqrt(108)*4)*4)**2 - (1*(1 + sqrt(108)) + sqrt(108)*2*-3)**2.\nAnswer: -3012*sqrt(3) + 25203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((-1*sqrt(204)*-2 - sqrt(204)) + sqrt(204))\/(sqrt(96)\/(sqrt(32)\/sqrt(4))).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 16 = -5*r. Suppose 8 = -0*c + r*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the first derivative of -125*f**7\/7 + 2*f**5\/5 + 116*f**3\/3 - f**2\/2 + 22. Find the third derivative of o(g) wrt g.\nAnswer: -15000*g**3 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.066 - -4.066. Which is the closest to 0.1?  (a) -4  (b) 5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 8160, 16136, 23738, 30780, 37076, 42440, 46686, 49628?\n\"Answer: -31*z**3 - z**2 + 8196*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 190 and 2029675.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -1\/7, -97, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -101874100 to the nearest one million.\nAnswer: -102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 + 29. What is the third biggest value in -0.4, 0.2, k, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93*j - 91*j - 1190 = 0. Which is bigger: j or 594?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.9 + 3.3. Let s = 2 - j. Let u be (85\/(-34))\/((-1)\/2). Which is the second smallest value?  (a) -0.2  (b) u  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 513 - 363. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 2*k = -3*c + 1, 5*k - 20 = 0. Let l(w) = -w**3 + 10*w**2 - 8*w - 7. Let y be l(c). Let u be ((-1)\/y)\/(3\/2). Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1485465069455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7937 - 7873. Calculate the lowest common multiple of a and 2.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the second derivative of -i**5\/4 - 15*i**4\/4 - 65*i**3\/3 - 60*i**2 - 5*i. Factor r(u).\nAnswer: -5*(u + 2)*(u + 3)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*b**2*y**3 - 2216596*b**2*y - 3*b*y**2 + 68*b*y - y**3 + 153*y**2 wrt b?\nAnswer: -4*y**3 - 4433192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 693 and 441?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 224 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 43341421022 + -13?\nAnswer: 43341421004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*l + 19 = 10*l - 7*n, 5*l - 2*n = 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 23*n - 7. Let r be h(1). Let x(m) = -2 + 5 + 7*m - 2. Let j be x(1). Calculate the highest common divisor of j and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12816, -5, 4, -2, -1, -10, 1 in decreasing order.\nAnswer: 12816, 4, 1, -1, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -203*c + 701965 = -47*c - 101*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 55397 - 13.556.\nAnswer: 55383.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2641289, -2641548, -2641807?\n\"Answer: -259*o - 2641030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -4*b - 6, 4*l - 6*b = -2*b + 8. Suppose -l*a = 3*a - 5. Let i(g) = g**3 - 1. Give i(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 550357 != 2751792\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/6 and 61\/3962046.\nAnswer: 3962046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**3 - 7*o**2 + 7*o + 19. Let k be z(5). Solve k*m = 19 + 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2009556 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 36 - 3*c**4 - 5*c**3 - 4*c**2 - 11*c + 8*c + c**3 - 38 + 2*c**2 to the form r + u*c**2 + j*c**4 + y*c**3 + n*c and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/11?  (a) -0.3  (b) 9  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 - 5. Let y = r - 1. Let k be 2\/(-8) - (0 + 0). Which is bigger: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -453808073, -453808089, -453808131, -453808211, -453808341, -453808533, -453808799, -453809151?\nAnswer: -453809601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {i: 1, q: 1, e: 2, b: 1, o: 1, j: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2248 - -3433. Let j = -739 + q. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -487976*q - 26838679. Determine b(-55).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3249*k**5\/7 + 16644*k**4\/7 + 21297*k**3\/7 + 1446*k**2\/7 - 156*k + 72\/7 = 0 for k.\nAnswer: -3, -2, -1\/3, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1814056655 - 3.\nAnswer: 1814056652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1180.78048 rounded to the nearest integer?\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 17 + 5 = 0. Is 141 - (b\/(-3))\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:52 PM and 11:10 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**3 + 4*n**2 - 16*n - 7. Let p be a(-6). Let k = 53 - p. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 - (-6 + 42\/6). Which is smaller: 22\/9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 4248*x - 7*x**3 + 0 - 4248*x.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.7999599m?\nAnswer: 79.99599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**3 + 1 - 1)*((1 - 2 + 2)*(2 - 2 + 1)*(-2*j + 2 - 2) - 4*j - 3*j + 2*j).\nAnswer: 7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sv when two letters picked without replacement from {v: 2, s: 1, b: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + 33*r = 3, 8*p - r = 11*p - 31 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.36 take away 997774?\nAnswer: -997761.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + 51. Let v be -54 + g + (-1)\/((-2)\/8). Solve 4*i + p = 1 + 1, v = -5*i - 2*p + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 12 = -6*b, -4*c - 5*b = 35. Let t be (-5)\/(-10) - c\/2. Suppose -z + 28 = 2*r, r = -r + t*z + 12. Calculate the remainder when 23 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 2 + 3. Let d(w) = 3*w**2 + 6*w - 7. Let a(q) = -7*q**2 - 13*q + 15. Let c(x) = 2*a(x) + 5*d(x). What is c(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50233 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*((4 - 3)*-1)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 2*v - v - 4 = 0, -4*v + 16 = 5*m. Suppose -2*q - 2 = 3*t - m, t - q = 1. Solve -p = -t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -d + 15*d - 67873. What are the prime factors of d?\nAnswer: 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5392\/9*u - 2\/9*u**3 - 3616\/3 - 662\/9*u**2.\nAnswer: -2*(u - 4)**2*(u + 339)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 441 + 252 = 0. Suppose -2*k + 5*k = o. Suppose -52 + 259 = 9*h. Calculate the remainder when k is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/15, 25908, -0.4, -1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + f)*(127*f**2 + 235*f**2 + 654*f**2) + (3*f**2 + 2*f**2 - 2*f**2)*(2*f - 4*f - 3*f).\nAnswer: 1001*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 194473 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*(z\/(z*(z*z\/z**(4\/5)*z*z)\/z*z))\/z)\/z)\/((z**(-1\/8)*z)\/z))\/((z\/(z*z*z*z*z\/z**(-9)*z)*z)\/z*z*z**(-4)) assuming z is positive.\nAnswer: z**(517\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -2*d**2 - d + 4. Let o be m(0). Suppose 0 = o*h - 9*h + 25. Let k(c) = -1 + 4*c**2 - 4*c**3 + h*c**3 - 5*c - 3 - c. Give k(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/4)\/((-1)\/26)*(-4768)\/(-4768)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 bigger than -97\/72734?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/3*(-5 - (-4)\/32*4). Solve -5*p = r + r + 23, u*r = 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -22*t. Let v(y) = -47*y + 25*y + 27*y. Give r(v(j)).\nAnswer: -110*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 55, 7\/6, -0.2, 3 in descending order.\nAnswer: 55, 3, 7\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 267519 divided by 6?\nAnswer: 89173\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 36619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4948519 is divided by 206188?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes before 7:57 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y = 3*d - 11, 2616 - 2645 = 14*d - 11*d + 4*y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 - n**2 + n + 16. Let z be (-4)\/18 - (-2)\/9. Let y be w(z). Let i be ((-64)\/10)\/(2\/(-10)). What is the highest common factor of y and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5223 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -74070, -74068, -74064, -74058, -74050, -74040, -74028?\nAnswer: -74014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -af (base 16) to base 4\nAnswer: -2233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + v + 13906 = 13892, 3*v = 5*x - 42 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -559 - -562. What is the nearest to y in -2, -25, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes before 3:02 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*m**4 + 2*m**3 + 6*m**2 - 5252*m - 9 wrt m?\nAnswer: 84*m**2 + 12*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -1, -14 in descending order.\nAnswer: 2, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (197\/((-55554)\/(-8648)))\/(4\/(-3)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -98*l - 143*l - 125*l.\nAnswer: -366*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 78, 7, 0, -2\/5, -4, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101000101110011100 - -10000100101011?\nAnswer: -100110101001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5\/3  (b) 218\/17  (c) -353\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (9\/42)\/(6\/(-4)) and (-4)\/(-1 - (-5)\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 733 is divided by 189?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8\/131245 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 5460\/(-294) - (3\/((-126)\/(-102)) - 3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/(h*h**(1\/29)*h*h)*h*h*h\/h**(-30) assuming h is positive.\nAnswer: h**(898\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*u**3 + u**3 - 7*u**3 + (0*u**2 + u**2 - 3*u**2)*(-15 + 15 + u).\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -44*c*l - c + 186*l - 102761 wrt l.\nAnswer: -44*c + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1284801804.\nAnswer: 2, 3, 11, 13, 23, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = t - 3*t + 4, -4*g = -6*g - 4*t + 13 - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.426 + 0\nAnswer: 0.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12.1 + 8. Round g to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7852.858kg to nanograms.\nAnswer: 7852858000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 14231.6 rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (-3 - 2) + -3 - -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*j + 9. Let k be (2 + -3)\/((-1)\/j). Suppose 4*x + x + 16 = -3*l, k*x = -4*l - 8. Let q(b) = -b**2 + 7*b - 2. What is q(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1002\/(-4))\/((-42)\/56). Suppose 818 = 4*l + u. Does 24 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 - -5. Suppose -18 = -0*d - 2*d. Let s be 3\/((d\/4)\/3). Solve -2 = t*j + s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -16 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes after 5:09 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1997651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.8624 + -0.6207. Round w to 2 dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*w**4*x**3 + 23*w**4*x + 17*w*x**3 - 5*w*x wrt w.\nAnswer: 84*w**2*x**3 + 276*w**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1203 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 10211996 to the power of 1\/2, to the nearest integer?\nAnswer: 3196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 29865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 14437430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 152*z**2 + 254*z**2 + 244*z**2 - 818*z**2.\nAnswer: -168*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2128\/56*-1*6\/3?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -152, -203, -186, -101?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 1002\/8 + 36\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 82115617 at most as big as 82115630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 67\/205 + 3\/41. Let o = k - 7\/30. Let v = -0.97 - -0.9. Which is the closest to -1\/4?  (a) v  (b) o  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(2\/11))**(-1\/19)\/((z**(-8)*z*z)\/(z*z*z**13\/z)) assuming z is positive.\nAnswer: z**(4171\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 988 and 26612.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 + 6. Let t = 5 + -2. Suppose -h*d + d = 0, -1 = -m - t*d. What is the least common multiple of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.626 - -0.656. Let o = f - 0.03. Let y = 62 - 188\/3. What is the closest to y in 0, o, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -11 in -5, 0.4, -0.45?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 99833990 to the nearest one hundred thousand.\nAnswer: 99800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 5*f - 2 - 0, -3*i + 2*f + 25 = 0. Let s = -7 + i. Solve 0 = -s*q - q + 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -2*q**3 - 25*q**2 - 11*q - 7. Let n(d) = -13*d**2 - 6*d - 4. Give 4*f(c) - 7*n(c).\nAnswer: -8*c**3 - 9*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 3*p - 10 = 0. Let g be (-598)\/12 + p\/30. Let d = -23 - g. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -166 + 244. Suppose -5*m + t = -107. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*y - 402 + 5028 = -243*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + j - 107401 = -b, 21465 = j + 4*b. Is 100 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b + 2*o - 3224, 3*b = 449*o - 447*o + 4876. What is the least common multiple of 1458 and b?\nAnswer: 14580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -523 = 3*y + 4*t, 3*y + 2*y + t + 900 = 0. Let k = 183 + y. Solve 3*l = -k*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-l + 3*l + 2*l)*(-2 + 2*l + 2) + l**2 + l**2 + 0*l**2 + (-8*l + 4*l - 4*l)*(4*l - 5*l + 2*l) in the form t*l + v*l**2 + s and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 9, q: 2, c: 2}. Give prob of sequence qcpp.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 842 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18034?\nAnswer: 2, 71, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/(-6) - (34344\/48)\/159.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are -319\/4 and 12\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 22 = j. Suppose -2*i + 39 = j. Let v = 31 + -17. Calculate the greatest common factor of v and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of -1\/4*t**4 + 0*t**3 - 16*t**2 - 129 - 87*t. What is the derivative of j(p) wrt p?\nAnswer: -3*p**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*o**2 + 6*o**6 + 13*o**6 - 4*o**2 - 12*o**6 wrt o?\nAnswer: 840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (4 - 0)\/(-2) - -96 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:11 AM and 5:07 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4565?\nAnswer: 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2551, -3180, -3843, -4558, -5343, -6216?\n\"Answer: -3*a**3 + a**2 - 611*a - 1938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.9 and 540365?\nAnswer: -486328.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 4*f**3 - 466*f**2 + 9*f. Let v(i) = -29*i**3 + 3263*i**2 - 67*i. Calculate -15*p(m) - 2*v(m).\nAnswer: -2*m**3 + 464*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*q - 56 = 2*q. Suppose -4 + q = 11*s. Which is smaller: s or 4\/21?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -198*p - 205*p + 379*p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 5*v**2 - 4*v. What is the tens digit of r(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 26374 (base 11) to base 10\nAnswer: 37712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8200 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95038 is divided by 192.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes after 9:14 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**2 - 6*r + 5. Let d(w) = -w**2 - 7*w + 5. Let a(z) = -5*d(z) + 6*u(z). What is a(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -601378.899866 + 601373. Let s = 5.9 + p. Round s to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14229551, -28459093, -42688631, -56918165, -71147695, -85377221, -99606743?\nAnswer: -113836261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16*q**2 + 144 - 144 + 2*q**3 wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 6*o - 28. Let p be v(7). Suppose -3*z + 4*t - 15 = -6*z, 0 = -z - 5*t + 16. Solve f + z - p = 4*n, -2*n = -2*f + 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12 + (-59)\/5)*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -35 - -40. Let u = 6 - 6.4. Which is the third smallest value?  (a) 2  (b) u  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 8, 3, -88, 146, -4, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 2430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.3, 4772, -7, 2\/13, -0.1, 1\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 3*f + 1. Let j be v(1). Suppose -j = 3*x - 1. Let u = -9 + 9. Does x = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -37000 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (25 - 2) + -4 + (-22)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -605261.1 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -2*h + 5*h + 2*h - 4*h. Let z(l) = -l**2 + 0*l**2 + 2*l - 5*l. Let t(k) = k**2 + 4*k. Let o(a) = 3*t(a) + 4*z(a). What is o(f(x))?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -49 + 126 - 17*g + 18*g - 77. Let u(h) = 17*h**2 - h - 9. Give u(v(r)).\nAnswer: 17*r**2 - r - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -5*g**3 + 4346*g**2 + 6*g**3 - 4343*g**2 + 3 - 4*g. Let s = 5 - 3. Let b be v(s). Solve 0 = 5*j - 10, 3*r - b = 3*j - 6*j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 359*j - 373 + 6117 = 0 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 2)*(-w + 2*w + w)*(4 - 2 - 3).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, 100, 0 in increasing order.\nAnswer: 0, 1, 4, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -2*l**3 + 12*l**2 + 470*l - 2813. What is d(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13624468*o**5 + 895144*o**2 - 2*o?\nAnswer: -817468080*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 214, 213, 212?\n\"Answer: -m + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*t + 9*t + 7*t - 27*t**3 + 20*t**3.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -4*z**2 + 4*z - 5. Let r be g(2). Let y = r - -25. Let v(j) = 2*j**2 + 2*j - 2. Let u be v(1). Solve u*w = -2*w + y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 2*t**3 + 14*t**2 + 24*t - 50. Calculate n(-5).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 1 + 1)*(-1 - 3 + 2)*(102240*s**2 - 3*s**3 + 0*s**3 - 102359*s**2) as p*s**3 + r + u*s**2 + q*s and give u.\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.8, 0.4, 0.2054?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24 and 59649?\nAnswer: 477192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j\/j**(-2\/3)))**(2\/27)\/(j*((j**(-3\/5)\/j)\/j*j)\/j*j)**(-12\/11))**(-4\/5) assuming j is positive.\nAnswer: j**(13864\/22275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17578 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 + 5 + 1 + 0 + -4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7207250?\nAnswer: 2, 5, 127, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2111200110021202 - -10?\nAnswer: -2111200110021122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes before 1:29 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2112\/9)\/((-46)\/10781250). Round m to the nearest 1000000.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 372453*w**6 - 108060*w**2?\nAnswer: 44694360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 16*o**3 + 4*o**2 + 22*o + 41. Let j be a(21). Suppose -6*f + 37*f = j. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of -3\/2*x**2 + 0*x**3 + 1\/108*x**6 - 2 - 7\/270*x**5 + 0*x + 1\/54*x**4. Let l(a) be the second derivative of z(a). Factor l(i).\nAnswer: 2*i*(i - 1)*(5*i - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 142766 or 142971?\nAnswer: 142766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2111870251?\nAnswer: 2111870251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 189553.8 to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 3*h**3 - 3*h**2 + 5*h - 7. Let q be f(2). Let g = -233 - -228. Sort -1, q, g in ascending order.\nAnswer: g, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -2*j + 1. Let q be g(1). Let b(a) = -140*a - 235. Let x be b(-3). Is 9 a factor of x + (-2 + -2 - q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*h)*(0 + 1 + 1) + 2*h - 1917 - 373 - 805 - 835.\nAnswer: -2*h - 3930","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.103 times 15?\nAnswer: 1.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11000010101111000 + -11?\nAnswer: -11000010101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nkn when three letters picked without replacement from nnnkttttnttnnkttt?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the second derivative of -9*m**6\/10 + 21*m**5\/5 + 3*m**4\/2 - 14*m**3 + 9*m**2\/2 + 102*m. Let o(l) = 0. Calculate l.\nAnswer: -1, 1\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 43194 or 431943\/10?\nAnswer: 43194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16471, -16457, -16427, -16375, -16295, -16181, -16027?\nAnswer: -15827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 91089.53g?\nAnswer: 91089530000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -17 + 2910\/170 + (-831)\/(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100 (base 2) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11543.\nAnswer: 7, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 218 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15063928 by -4822.\nAnswer: -3124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = h - 2*h + u, 3*u = -3*h - 21. Let f = h + 7. Is f > -1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 - 12. What is the units digit of (-2 - 8\/i)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 294 divided by 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 + 6 - -34)\/(1\/(-2)). Let g = f + 123. What is the remainder when 159 is divided by g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes before 9:34 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1ae24 - -4?\nAnswer: 1ae28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -47*o + 2. What is the remainder when t(-1) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -35\/48 and 151\/17751516.\nAnswer: 71006064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (45 - -1)\/(323\/3306 - (-8)\/116). Calculate the highest common factor of f and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17.34 + -0.34. Let t = m + -17.3. Let w = 2\/31 + 19\/186. Which is the nearest to 0.1?  (a) 1  (b) t  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from {y: 7, m: 7, h: 2}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -10*j**2 + j + 4. Let r(s) = -9*s**2 + s + 3. Suppose 15 = -a - 3*h, 82 = -a - 2*h + 74. What is a*r(b) - 5*z(b)?\nAnswer: -4*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 63138.88 centuries in millennia?\nAnswer: 6313.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i + 16*i - 15952 = 0. Suppose -15*u - i = -17*u. What are the prime factors of u?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes after 2:15 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 1\/4 - 1\/4*y**2 - 1\/4*y + 1\/4*y**3 = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1085981?\nAnswer: 13, 83537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2577, -2586, -2595?\nAnswer: -2604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27009473.\nAnswer: 27009473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 - 10*p)*(-33 - 36 - 54) - 2 + 2 - 2*p + (4 - 1 - 1)*(1 - 1 - 2*p) to m*p + t and give m.\nAnswer: 1224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2280 divided by -30.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 51 = -4*b. List the prime factors of (4 + 4)\/((-2)\/b).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -18075.\nAnswer: 1\/6025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*t - 12*t = 3*v - 30, 0 = v + 5*t + 10. Sort v, 28, 1.\nAnswer: 1, v, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1085011225 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) -12  (b) 2\/11  (c) -2  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and -20229?\nAnswer: 80916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 752.0296 millennia?\nAnswer: 75202.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -3*s**3 - s**2 + s - 2. Give m(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**2 - 9*j + 47. Determine y(7).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*y + 8*y + 11. What is the highest common divisor of 99 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38703195151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i - 4*i + 5*i)*(-166*i**2 + 11*i**2 - 5*i + 155*i**2 + 4*i + 88412*i**3).\nAnswer: 176824*i**4 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 divided by 698012?\nAnswer: -5\/174503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 165 = -6*k. Suppose -4 = -3*j + j. Suppose k + 75 = j*i. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16 - 11 + 5)*(-2 - 2 + 0)*(4*i**3 + 7*i**3 - 2*i**3).\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 560465 - 0?\nAnswer: 560465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (3*(-1)\/(-42))\/(((-5995)\/(-44))\/(-109))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = -3*o + 4*k + 92, 3*o - 2*k - 88 = 0. Let v = o - 13. What is the greatest common factor of 135 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-2)\/(-6))\/((-2)\/(-42)). Let o(n) = -n**3 - 31*n**2 + 28*n - 127. Let z be o(-32). Sort u, z, -3 in decreasing order.\nAnswer: u, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 2*x - 102, 0 = f - 2*f - 5*x + 25. What is the greatest common factor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -708, -2158, -5094, -10260, -18400?\n\"Answer: -124*k**3 + k**2 - 585*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -20.1 - -22.36. Round p to 1 dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 2\/13, -13.1, -3\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54373538 is divided by 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/(-6)*147\/(-2). Suppose u + 47 = 4*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2234619 = 2234618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.52 from -3280.0325627.\nAnswer: -3280.5525627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-12)\/18)\/(4\/(-30)). Suppose -22 = j*x + 53. Let n = 14 + x. Sort n, -2, 18.\nAnswer: -2, n, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 - 0. Let a(b) = -b**3 + 5*b**2. Let z be a(i). Let r = 2 - z. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the second derivative of -13*g**3\/6 - 115*g**2\/2 + 41*g - 2. Let h be b(-9). Solve -h*k + 3*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -2*u + 1. Give j(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 2583207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*2047763\nAnswer: 409552.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 greater than or equal to 2110\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -22?  (a) -4  (b) -1\/6  (c) 1666  (d) -2\/3  (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 240, 488, 738, 990?\nAnswer: 1244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 5*l = 9. Suppose -4*m + 20 = -n, -5*n = l*m - 0 - 15. Suppose -1 = 2*d + 5*v, -3*d + n*d + 5 = v. Solve -2*z - d*z = -20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -472 - 2*d**3 - 717 + 41 + 197.\nAnswer: -2*d**3 - 951","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18595, 18596, 18597, 18598, 18599?\nAnswer: 18600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/6?  (a) 3\/19  (b) -2  (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/107254 and -41\/84.\nAnswer: 643524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 311380000 rounded to the nearest one million?\nAnswer: 311000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*c**4 - 11*c**4 + c**5 + (-2*c**2 + 4*c**2 + 0*c**2)*(0*c**3 + 3*c**3 - 2*c**3) + c**4 - c**4 + 2*c**5.\nAnswer: 5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 114 and 608?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**3 + 4*i**2 - 3. Let n be g(-3). Let y = 61 - n. Let j = 5 - 8. Sort 5, j, y.\nAnswer: j, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 160 is divided by 51.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = 4*m. Suppose m = 3*q + 9, -5*t + 120 = -4*t + q. Is 34 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.033 - 0.367. Is 2\/5 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2660.863 seconds to microseconds.\nAnswer: 2660863000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hj when two letters picked without replacement from {j: 3, h: 11}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g - 2*g - 2 + 8 + 2. Let x be i(9). Let r be (-2)\/x - (-2 - 2). Put 2, r, 5 in ascending order.\nAnswer: 2, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 8*m**3 - m**2 + 3*m - 2. Let y be a(1). Suppose 5*n = -8 + y. Suppose n*b = 3*b - 21. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -2*i**3 + 280*i**2 - 557*i + 687. Calculate t(138).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 435752732 to the nearest integer?\nAnswer: 20875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1546 - 1544. Solve -2*d + 5*z - 21 = 0, g*z - 264 + 254 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(72))\/((sqrt(9) - sqrt(144))*-5).\nAnswer: -2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**2\/4 + 363*l\/4 + 981.\nAnswer: 3*(l + 12)*(l + 109)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -18*q**3 - 6*q**2 + 3*q + 6. What are the prime factors of u(-4)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*j**2 + 5*j - 4*j - 117*j**2 - 3*j.\nAnswer: -154*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 134*x**3 + 118*x**2 - 10*x + 1. Give t(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 10137 to the nearest one hundred.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**2 - 2*a - 2. Let s(z) = -2*z**2 - 4*z - 5. Suppose 619*n - 639*n - 27 = 33. Determine n*s(k) + 7*x(k).\nAnswer: -k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1404276 - -6?\nAnswer: 1404304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and -339\/2039 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8862 divided by -3131.\nAnswer: 8862\/3131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*4\/(-4)*1\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -191 - -188. Put 0, i, 1\/6, -0.02 in descending order.\nAnswer: 1\/6, 0, -0.02, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**2 - 2*n + 26. Let u be l(4). Suppose u = -y, 2*y + 16792 = -4*m + 8*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) 5  (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2398)\/(-5929) + (-148)\/407. Sort 0.05, 0, t, 0.2, -2\/3.\nAnswer: -2\/3, 0, t, 0.05, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*o**2 - 88*o**2 + 23*o**2 + 12*o**2 + 22*o**2 + 19*o**2.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 370, 1345, 3508, 7459, 13798, 23125, 36040, 53143?\nAnswer: 75034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -3188*k - 9572. Determine o(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b0 (base 12) to base 6\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1997.05204 + -1997. Round y to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -123217, -492969, -1109223, -1971979, -3081237, -4436997?\nAnswer: -6039259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 5*j + 57. Suppose n = -t - t - 14, t = 5*n + 48. Does 10 divide (-180)\/(-3)*j\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 54327 divided by -271\nAnswer: -54327\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.129 + -0.129. What is the nearest to 1\/3 in t, 4, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4938.297ug to grams.\nAnswer: 0.004938297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 798 + -797. Put a, 5\/2, -1\/3, 0.01 in descending order.\nAnswer: 5\/2, a, 0.01, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 150 = -2*b, -3*l - 8 = -2. Calculate the highest common divisor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11\/14, -6, -36, -1 in descending order.\nAnswer: -11\/14, -1, -6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -64, 1.43, -1\/5?\nAnswer: 1.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -247725*z. Let g(u) = 1537*u. Give d(g(a)).\nAnswer: -380753325*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4*(-21)\/63)\/(((-12)\/45)\/4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or 781?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2.0554 + 0.0554. What is the nearest to -2 in -3, b, -4, 1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 37 - 28.5. Let f = -4.5 + k. Which is the closest to 4?  (a) -0.4  (b) 4\/5  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1504202285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - (3 - 19) - 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24 and 8241306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-203)\/7 + -30 - -28?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*v + 14*v - 477 = -2*i, 3*i + 354 = 4*v. What is the highest common divisor of 1550 and v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2466*l - 46053 + 142227 = 0 for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7120 = -5*o + 5*n, -3*o + 7132 = 2*o - n. List the prime factors of o.\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 672244 - 1827*f - 672244 to the form t*f + v and give t.\nAnswer: -1827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -30 + 10201032230?\nAnswer: 10201032200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*n**3 - 94043*n**2*o**3 + 1966412*n*o**3 wrt n?\nAnswer: 30*n - 188086*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 125 and 3125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 7*z - 1. Let q = 567 + -568. Calculate l(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*j = -92*j + 350204. List the prime factors of j.\nAnswer: 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 32*d**2 - 32*d - 183. Let n be a(-7). Is 1609 != n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x - 2*o - 2, -10 = 5*x + 4*o. Let v be 4 - (-2)\/(x\/(-1)). Solve 0*i = i + v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 102534 and 5712.\nAnswer: 97612368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 37 - 45. What is the closest to -1 in 0.2, -5, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1765 + -1750. Solve 3*b - 9 = -m, 9 = v - 3*b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l**2 + 5. Let i(h) be the first derivative of -5*h**2\/2 - 1. Let n = 12888 - 12897. Let x(r) = -r. Let u(t) = n*x(t) + 2*i(t). What is u(b(k))?\nAnswer: -2*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 4 - 7)*(2*u**2 - 3*u**2 + 4*u**2) + (0 + 0 - u)*(u - 2 + 2))*(3*u**2 + u**2 - 5*u**2).\nAnswer: 25*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-2\/23)*(m*m\/(m*m*m*m**29*m))\/m*m)\/(m*m*m\/m**(1\/10)*m**(-7)\/m*m))**(4\/13) assuming m is positive.\nAnswer: m**(-12414\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 h, and 1 x when three letters picked without replacement from xuseseseseesxexsesbh.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - ((-3 + 2 - 76) + 1364 + -1346)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2 + 2 + 0 - 148\/(-96) and -101\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 26 - 26.5. Put -1, s, -2 in decreasing order.\nAnswer: s, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4)\/(-8))\/(2\/(-764)). Suppose 678 = -2*o - 3*n, n - 2*n - 1010 = 3*o. Let k = v - o. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j + 4. Suppose -c = -221 + 215. What is o(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in 4\/5, -2\/21, 4, 10\/3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 26683148143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 + -16. Let n = -15 - -31. Let t = b + n. Calculate the remainder when t is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29503675?\nAnswer: 5, 19, 179, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.18799 * 0.09\nAnswer: 0.0169191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2.09 - 2.016. Let t = 0.326 + c. What is the nearest to 0.07 in 2\/3, t, -3\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**2 - 2*p - 5. Give y(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 96 and 22910856?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1009814713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 150062.\nAnswer: 2, 11, 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 217 a factor of 55961697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -146*w**6 + w**4 + 16*w**2 - 2*w.\nAnswer: -17520*w**3 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 2141.\nAnswer: 3\/2141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 + 2 + 7 - (-10 + (-3 - -2 - -4)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 429929\/6 or 71656?\nAnswer: 429929\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*t - 2*p = -9*t - 4391, -2*t + 8783 = 3*p. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*g = -6*g - 15. Suppose -11 = -g*c + 1. Let t(m) = -m + 4. Calculate t(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = -0*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (129*b**2 - 101*b**2 - 93*b**2)*(-2*b**2 - 2*b + 2*b - b).\nAnswer: 130*b**4 + 65*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/240 and 54\/26525.\nAnswer: 1273200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*b = -277 + 325 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (7 - 11 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y = -31*h + 168, 68*h - 72*h = 4*y - y - 6 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7425 and 145728.\nAnswer: 10929600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 526654\/(-4)*(-36)\/7. Let z = w - 1348985\/2. Let u = z + -2633. Find the common denominator of u and 23\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 192 divide 449234688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13235 divided by -2647.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (4 + sqrt(432) + 2 + 3 - (-2*sqrt(432) + 4)*1))**2.\nAnswer: 216*sqrt(3) + 3897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 603*b**3*u**4 + 5*b**3*u - 838*b**3 + 3*b**2*u + 65*b*u**5 wrt u?\nAnswer: 7236*b**3*u**2 + 1300*b*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 216 and 88?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w + 3*w - 2*w**2)*(5 + 5 + 21)*(w**2 - w**3 - w**2).\nAnswer: 62*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 >= 100\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -14951*f. Let a(l) = 2*l + 38. Determine c(a(d)).\nAnswer: -29902*d - 568138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6.7 + -6.4. What is the fourth smallest value in t, 5, -0.4, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v**5 + 3*v**5 - v**5 + (3 - 3 - v)*(v - v - 2*v**4) + (-v**3 - 3*v + 3*v)*(3*v - 3*v + 2*v**2).\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -183*x - 18 - 1 - 7 - 5 + 182*x. Let n(m) be the second derivative of m**4\/12 + 2*m. Give n(k(h)).\nAnswer: h**2 + 62*h + 961","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -58539*a**3 - 79*a**2 - 158*a - 79. Let b(j) = -1501*j**3 - 2*j**2 - 4*j - 2. Calculate 79*b(l) - 2*k(l).\nAnswer: -1501*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3203 - 15?\nAnswer: 3177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 3*r = -31, -5*y + 52 + 20 = -2*r. What is the greatest common divisor of 2366 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*l**4 - 10*l**2 + 4*l + 3*l**4 + 2*l**4 - 7*l**4 + 8*l**3.\nAnswer: -2*l*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -7*m + 22. Let r(h) = 36*h - 112. Calculate 11*a(z) + 2*r(z).\nAnswer: -5*z + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4ae + 1?\nAnswer: -4ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -2995050860 to the nearest 1000000.\nAnswer: -2995000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the third derivative of -49*g**4\/24 + 3*g**3 - 100*g**2. What is the derivative of w(i) wrt i?\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12413 times -0.05\nAnswer: 620.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1227?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 15869952 to the power of 1\/2, to the nearest integer?\nAnswer: 3984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*t**3 + t - t + (-4*t + t**2 + 4*t)*(t + t - 4*t) + 2*t**3 - 2 + 2 - 3 + 3 - 4*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16086, 16056, 16006, 15936, 15846, 15736, 15606?\nAnswer: 15456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((5 - 1 - 1)*(-z + 3*z + z) + 497100 + 3216*z - 497100)*(0 - 3 + 1).\nAnswer: -6450*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 2*a**3 - 2*a + 3. Let n = 27 - 34. Let x(h) = -3. Let w(v) = -10. Let o(l) = n*x(l) + 2*w(l). Give -6*o(u) + z(u).\nAnswer: 2*u**3 - 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*0\/(-2) + -1. Let m = 0.037 + -3.137. Let i = m - -0.1. Which is the closest to o?  (a) i  (b) -0.3  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 9*b + 7. Let o(c) = -10*c - 8. Give -6*m(l) - 5*o(l).\nAnswer: -4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**3 - h**2 - 6. Let m(y) = 31*y**3 + 8*y**2 + 18. Calculate -m(g) - 3*x(g).\nAnswer: -28*g**3 - 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 4 = -6*s. Let r(f) be the first derivative of 2\/3*f**3 - 2*f - 2 - f**s + 1\/2*f**4. Let r(n) = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -198 + 257. List the prime factors of r.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**2 + 3*w - 3 + 15*w**2 - w**3 + 4*w**2. What is the tens digit of q(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-1) + -274*3\/(-2). Suppose -z - 1145 = -21*o. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 550 and 0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 668 in 3, -1, -1\/2, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 38*x + 33. Let z be n(-1). Which is the fourth smallest value?  (a) z  (b) -3  (c) -2\/51  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54 + 54 - 375 - 19*v**2 + 53 + 214.\nAnswer: -19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 1892*d. Let a(w) = -6*w - 15. Give y(a(h)).\nAnswer: -11352*h - 28380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -7  (b) 1  (c) -2\/13  (d) 76  (e) 4\/5  (f) 0.02\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 26322 divided by -4022\nAnswer: -13161\/2011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 41 - -269?\nAnswer: 2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 570*g**4 - 3*g**3 - 2*g**2 + 0*g**3 - 566*g**4 + 136*g**2 to t*g + k + d*g**3 + b*g**2 + j*g**4 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 341050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14143*y = -14070*y - 3650 for y.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 37831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2036.25482 plus 50.617?\nAnswer: -1985.63782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -112045203 (base 6) to base 16\nAnswer: -1f6bc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -26 + 29. Suppose l*k + h = 9, -5*k = 4*h - 9 + 1. Suppose -7*j - 3 = x - 2*j, -k*x + 4*j = 36. Let i(o) = o**3 + 9*o**2 + 7*o - 9. Calculate i(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -14*l**2 + l - 2. Let t(z) = 15*z**2 - z + 3. Let d(a) = -7*c(a) - 6*t(a). Suppose -591*r - 69 = -568*r. What is the tens digit of d(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-2) + 1 + -1. Suppose 23*b + 125 = 48*b. Suppose -b*i + q - 6*q = 25, i = -2*q - 10. Solve -j + l = -i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 35123253 + 421?\nAnswer: 35124114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -3 + (8 + -5 - 2*-15) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*z**5 - 57 + 57 + (2*z**3 - 2 + 2)*(z**2 + 3*z**2 + z**2))*(0 + 1 + 0).\nAnswer: -2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 42960 and 432.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -117*m - 18*m = -380*m + 11025 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from mmttpparumrt?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 9 (base 13) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 260 + -781\/3. What is the nearest to 0 in b, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 123500 divided by 24700\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 835223429 to the nearest integer?\nAnswer: 28900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.18 and 6.97?\nAnswer: 1.2546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1304 is divided by 78?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + x)*((4*x + 0*x + 0*x)*(-x + 3*x - 3*x) + 0*x**2 - 2*x**2 + x**2 + 0 + 8*x**2 - 1 + 1).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5.9 + -11.2. Let v = f - -5. Which is greater: 3\/5 or v?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -24974 - 2?\nAnswer: -24976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1100 (base 2) to base 5\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s**2\/9 - 6230*s\/9 + 1578964\/3 = 0. Calculate s.\nAnswer: 1318, 1797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(-1\/3)*l*l**2)**(-14))**(-5\/4))**(-4) assuming l is positive.\nAnswer: l**(-560\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/2*(-732)\/(-1281).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*m**5 - 118292*m**4 + 2332323920*m**3 - 15332696608928*m**2 + 61302802333856*m - 61293474930752 = 0. What is m?\nAnswer: 2, 19714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 + 15*d + 8. Let j be w(-15). Suppose -6*n = -j*n + 78. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**2. Let g(i) = i**3 - 4*i**2. Let s(c) = g(c) + 4*p(c). Let w(a) = 3*a**3. What is 7*s(n) - 2*w(n)?\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*k - 15 = -87. Suppose 5*q = -5*l + 1190, 0 = 13*q - k*q - 3*l - 1158. List the prime factors of q.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*g**5 - 1248*g**4 + 910*g**3 + 4852*g**2 - 3352*g + 560 = 0. What is g?\nAnswer: -70, -2, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-65 - -20) + 40)*(14\/(-10) - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2850.07717 - 2850. What is n rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0223 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 45 and 505.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21586*d - 465*d**2 + 21586*d - 610*d**2.\nAnswer: -1075*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -138*v - 3. Let l(u) = 1655*u + 35. Let b(n) = -3*l(n) - 35*o(n). Let d(z) = 2*z**2. Determine b(d(g)).\nAnswer: -270*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 - -2. Let v(z) be the second derivative of -z**3\/6 + z**2\/2 - 23*z. Let x be v(r). Solve 5*y = x*q - 0*q, -2*y = -3*q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/((-3)\/(-9) - (-1)\/(-2)). Let t be 8 + -4 - (-27)\/b. Put -4\/9, t, 1\/21 in increasing order.\nAnswer: t, -4\/9, 1\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -3*s**3 + 5*s + 1. Let j be q(-5). Let i be -50 + (-440)\/(-22) - -108. What is the highest common divisor of j and i?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25209 = y + 5*a, 0 = -3*y + 31*a - 30*a + 75547. What are the prime factors of y?\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 294\/(-70)*(-20)\/12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the third derivative of q**4\/24 + q**3\/6 - 2*q**2. Let n be 12\/(-30) + (4 - 48\/5). Let d be k(n). What is the third smallest value in -1\/5, -2, d?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1160917 rounded to the nearest 1000?\nAnswer: -1161000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.07*-0.697\nAnswer: 0.04879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 4*v - 5*v = -2, -4*v - 10 = 2*q. Which is smaller: q or 6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 23*o - 12. Let y be s(-12). What are the prime factors of y\/(-28) + (-6)\/21?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2\/3*k**5 + 2*k**4 + 8\/3 - 14\/3*k**2 + 2\/3*k**3 + 0*k = 0. What is k?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -620 - 0.337672478?\nAnswer: -620.337672478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 i, and 1 f when three letters picked without replacement from {f: 3, i: 1, n: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2*((2 + -7 - -3) + 1). What are the prime factors of (-1)\/(-6)*o*24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 385 and 1756139?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*311.\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -4*f. Let l(p) = 2*p**2 - p. Let z(m) = -37*m**2 - m. Let d(o) = -l(o) + z(o). What is i(d(c))?\nAnswer: 156*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 187018 - -1068?\nAnswer: 188086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -264*b = 8826 - 4866 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*z**2 - z**2 + z**2)*(-2*z + z + 0*z).\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = 85*x - 91*x - v, 0 = 3*x - 2*v - 16. What is the smallest value in 19, x, -0.04, 0?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21582 divided by -3597?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2078, 2 in ascending order.\nAnswer: -2078, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 + 14 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j - 2*h + 23, -4*h = -2*h - 8. Suppose -192 = -0*u + 4*u. Let m = -29 - u. What is the remainder when m is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11210112021 (base 3) in base 16?\nAnswer: -170da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -2*q - 3. Let v(x) = x + 4. Let r be ((-28)\/63*3)\/((-2)\/42). Let z = r - 25. Give z*v(b) + 4*n(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1\/12, 0.3, 2, -4, -6, 3\/4 in increasing order.\nAnswer: -6, -4, -3, 1\/12, 0.3, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1656, 6973, 15948, 28581, 44872, 64821, 88428?\n\"Answer: 1829*n**2 - 170*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-463*b - 17296 + 17296)*(3*b - 2*b - 3*b).\nAnswer: 926*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + z - 2*z - 2*z.\nAnswer: -3*z - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4754 and -12108.\nAnswer: -57561432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 444 + 197. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in five sixths of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 85653047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*q**5 + 6*q + 0*q + q**5 wrt q.\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3911299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(17) + sqrt(17)*1 + 5 + -5)*1 - (sqrt(136)\/(5*sqrt(32)\/sqrt(4)) - sqrt(136)\/(sqrt(80)\/sqrt(40))).\nAnswer: 4 + 19*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -2*v**2 - 2. Let l(x) = -7*x + 9*x + 10 - x**3 - 2*x + 11*x**2. Calculate -11*j(m) - 2*l(m).\nAnswer: 2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 66, 1, 4, 2, -6, 3 in decreasing order.\nAnswer: 66, 4, 3, 2, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*w + 5*w + 10*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 189 a factor of 198261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2 * -421\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 56120 - -32?\nAnswer: 56152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 344 + 2?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -388 + 0*z + 2*z + 388.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2379 - 2374. Solve -v + 7 = 2*k, v - c + 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 431319271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-21)\/336 - -1)\/(18\/(-24))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 - 4. Suppose b - 3*b = l. Let q = b - 1. Sort 3\/2, q, -2\/7 in descending order.\nAnswer: 3\/2, -2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**2 - 15*j. Let s be a(-7). Suppose 3*r + 6 = 0, -2*r = -4*q + 64 + 52. Let v = s - q. Calculate the remainder when v is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -80640.99995 + 80636. Let l = 5 + t. Round l to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p**1*p))\/p**8)**(-2)*(p\/p**(-2\/7))**3\/(p**1*p)**(-48) assuming p is positive.\nAnswer: p**(825\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u**5 + 705*u**4 - 37704*u**3 - 490524*u**2 + 5557344*u - 12145344 = 0. Calculate u.\nAnswer: -17, 4, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.034*10.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(95) + sqrt(95))\/sqrt(5) - ((1 + sqrt(19))*1 - sqrt(19)))**2 + sqrt(209)\/((2*sqrt(44) - sqrt(44))\/sqrt(4)).\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10998889.\nAnswer: 11, 307, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.306 + 0.35. Round x to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1694\/9 - 553\/3. Let x = r - 4. What is the third smallest value in -3, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 - -25. Suppose 3*c + j = 68. Calculate the greatest common divisor of 64 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, 2\/5, -0.2, 16, 1\/276, -0.4, 2\/69?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x - 5. Let q(c) = -c**2 + 22*c + 44. Let h be q(24). Let i be 12*(22\/h - -5). What is l(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 110 + -109. Solve -q - 2 = n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -258.8 - -259. Let b = 101\/3 + -34. Sort q, -0.01, b in descending order.\nAnswer: q, -0.01, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45852871487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 + -16.5. Let c = 9 + f. Put 5, -1, c in descending order.\nAnswer: 5, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -66, -281, -630, -1089, -1634, -2241?\nAnswer: -2886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5751*q**2 - 3069*q wrt q?\nAnswer: 11502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*d**3 + 34*d**3 - 5 + 5.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 983 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z + 5. Let h = -95 + 102. Give t(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -115, -92, -55, -10, 37, 80, 113, 130?\n\"Answer: -y**3 + 13*y**2 - 9*y - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes after 1:37 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 602\/9*t**2 + 20\/9*t + 118\/3*t**3 + 0.\nAnswer: 2*t*(3*t + 5)*(59*t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00482827 rounded to four dps?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -11, -689, -1857, -3515, -5663?\n\"Answer: -245*j**2 + 57*j + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the first derivative of -d**3\/3 + d**2\/2 + 2*d - 8. Let g(f) = -f**2 - f - 1. Let s(r) = -2*g(r) - t(r). Let j be s(-1). Sort -2, j, -4.\nAnswer: -4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 13\/(-14) + 1 + (-2)\/(-21). Which is the second smallest value?  (a) 3\/8  (b) m  (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*t**3 + 69362*t**2 + 7*t**3 + 3*t**3 - 69362*t**2 - 16*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*m + 41*m - 89*m + 27*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 174632400 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 10) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -2*w + b + 16, b - 54 = -4*w. Suppose w*r + 101439 - 338809 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.26 + -0.74. Which is the fourth biggest value?  (a) -2  (b) n  (c) 0.4  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 172, 3, 196 in decreasing order.\nAnswer: 196, 172, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -6\/649  (c) 21.119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (14\/210*(-18)\/2)\/(2\/(-40))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -11 + 21 + -49 + 2 + -6 + 13\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3377997984?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((2 + sqrt(192))**2*4 + sqrt(1728) + 2 + -5).\nAnswer: 912*sqrt(3) + 4686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the third derivative of j**4\/2 - j**3\/2 + 16*j**2. Let a = -5 - -13. What are the prime factors of d(a)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -289 - -289. Let w(i) = i**2 - 5*i - 22 + p*i**2 + 23. Calculate w(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*c + 15*c + 0*c = 2*q - 34, 3*q + 12 = -3*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -5*r + 108, j + 3*r = 7*r + 108. Suppose 3*o = 15, 8*o = -4*y + 4*o + j. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1605055)\/(-679788)*((-30)\/(-68))\/5.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*a**2*m**3*n**2 - 2*a**2*m*n**3 + 2*a*m*n**3 + 15762*a*n + 103*m**3*n**3 - 2*m*n**3 wrt m.\nAnswer: -30*a**2*m*n**2 + 618*m*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dddjddddddjdd.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-1*sqrt(2835) + 2*(sqrt(2835) + sqrt(2835)*-1) + sqrt(2835))\/((sqrt(7) - sqrt(14)\/(-5*sqrt(2))) + sqrt(7) + sqrt(448)*3).\nAnswer: -90*sqrt(5)\/131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (30\/(-25))\/((-3)\/10). Let v = x + -2. Solve -2*c + v = -2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -883 - -923. Suppose -602*c + y = -592*c. Solve -c*p - 3*t = p - 40, 2*t = -p + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 176 - 164. Suppose z - 13 + h = 0. Let t = -3 + 7. Solve -t*v + z = -11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 244812 is divided by 81599?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 232361929 to the power of 1\/3, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**3 + 8*v**2 + 8*v - 29. Determine r(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25736, -25738, -25740, -25742, -25744, -25746?\nAnswer: -25748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -10034403 divided by -2567\nAnswer: 3909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 86 + -88.3. Let k = -2.3 - d. Sort -4, 13, k in increasing order.\nAnswer: -4, k, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26009751?\nAnswer: 3, 2029, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -11776*a*u + a + 744*u + 6 wrt a.\nAnswer: -11776*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 - 42 = -5*g. What is the first derivative of -6 - 13*r**g - 9 + 1 wrt r?\nAnswer: -52*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3737991\/70 - -53399. Calculate the common denominator of 62\/21 and x.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5621566*l**2 + 3285744*l**2 - 2452803*l**2.\nAnswer: 6454507*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -6*(-10)\/60 + 2 + 194. Solve 8 = -2*s + l*o - 201*o, 0 = -3*o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -130 less than -3253?\nAnswer: -3123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 s when two letters picked without replacement from {s: 2, r: 7}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/5 - 51\/(-85). Solve t = -3*n - 13 + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*c**5 + 10*c**4 - 34*c**3 - 34*c**2 + 64*c + 56 = 0. Calculate c.\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 2*p**2 - 3. Let r be l(-3). Suppose 0*f + 5*k = f - 21, -5*f = 5*k + r. Let g be 2\/f - (-52)\/(-16). Which is bigger: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a factor of 491159716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(3\/11)\/d)\/(d*d**7\/d*d)*d**(1\/4)*d**(-6\/5) assuming d is positive.\nAnswer: d**(-2129\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = d + 88526 + 715476, -3*d - 6 = 0. Round n to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.332713 millennia in months?\nAnswer: 3992.556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -14680*a - 2 - 5 - 1 + 39428*a. Suppose i - 16 = 3*o + 2*i, -5*i - 20 = 0. Let m be d(o). What is m rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1642020049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes before 1:53 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -c**2*y**2 + 2*c**2*y - 6*c*y**2 - 7*c - 22*y**2 - 181*y wrt c?\nAnswer: -2*c*y**2 + 4*c*y - 6*y**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -663.2958 * -1.\nAnswer: 663.2958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -67 - -5605963?\nAnswer: 56058a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (207\/36 - 6)*0. Solve 4*k - b - 7 = 0, -20 = -5*k - b - x*b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -23*w**5 + 2*w**3 + 151*w**2 wrt w?\nAnswer: -1380*w**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 4\/3  (b) -6\/5  (c) -3  (d) -97\/10  (e) 0.1  (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*d + 4*v = 3*d, -6*d = -8*d - 4*v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (l - 1 + 1)*(-49 - 24 + 3) - 5*l + 2*l + 5*l + (-5*l + l + 5*l)*(1 - 2 + 0) as v + f*l and give f.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 131, 119, 91, 41, -37, -149?\n\"Answer: -l**3 - 2*l**2 + l + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1023 (base 4) to base 11\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -81*q**6 - 32*q**5 - 6*q**2 - 4*q + 150 wrt q.\nAnswer: -9720*q**3 - 1920*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -0*i + 17. Let f(r) = -28*r + 247. Calculate the remainder when f(6) is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*s**4*z - 16738*s**3*z + 2*s**2*z - 5*s**2 + 3*s*z - 77 wrt s?\nAnswer: 48*s*z - 100428*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 - -99?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -32*a**2 + 40703645*a - 5*a**2 - 27 - 40703648*a as x*a**2 + z*a + y and give y.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/1 + 6 + 0. Suppose -157 = -3*y + 5*m, 2*y = -3*y - u*m + 274. Suppose -y = -4*z - 2. Solve -2*s - 15 = 5*n, -2*n + 4*s = s - z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ovvvobobvvkk. What is prob of picking 1 k and 3 o?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyyssshshsssys. What is prob of picking 2 s?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 708\/27 + (-4)\/18. Suppose -s*u = -16*u - 5030. What are the prime factors of u?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes before 7:49 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 205899521*d - 8276738?\nAnswer: 205899521","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/315 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/27 + (-7)\/(-9). Let s be (-1)\/(-2)*(11 - h). Let f be 0 + ((-2)\/(-7) - (-30)\/(-7)). Sort s, -1, f.\nAnswer: f, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 94200.\nAnswer: 94200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*c + 21 = -16*c. Let z(m) = -2*m**2 - m + 117. Let v be z(c). Solve 2*l - 4 + v = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 4:16 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -270048*k**2 - 72993*k - 2 wrt k?\nAnswer: -540096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19825, 19864, 19949, 20098, 20329, 20660, 21109, 21694?\nAnswer: 22433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5 - -7. Suppose -y*x = 3*b - 46, -x + 5*b = x - 30. Let n(z) = 2*z - 37. Let s be n(x). Solve 7 = s*h + 2*u - 3*u, 2 = -2*h + 4*u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 + 12*f**2 - 15*f - 13. Suppose -3*n = r + 22, 2*n = -n - 9. Let q be c(r). What is the greatest common divisor of 52 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -98*f**3 - 49588644*f**2 - 28336344*f - 4048048.\nAnswer: -2*(f + 506006)*(7*f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/(-7) - (-40)\/(-56). What is the closest to 3 in 1\/2, 6, v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 2*y**2 + 1340*y. Let w(s) be the second derivative of s**3\/6 - 1658*s. Give t(w(r)).\nAnswer: 2*r**2 + 1340*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 837*m. Let k(p) = -2936*p. Calculate k(b(o)).\nAnswer: -2457432*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -327 - -332. Suppose 5*x - 2*t - 1880 = 0, 4*x - i*t = 2*x + 731. Is x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -7 - (-7 - (-5 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) 1\/9  (c) -7123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(156) + 2*sqrt(156) + sqrt(156) + sqrt(156))*-1)\/sqrt(12) - (((sqrt(130) + sqrt(130) + sqrt(130)*-2)*-2 + sqrt(130))\/sqrt(10))**2.\nAnswer: -5*sqrt(13) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) 22\/9  (c) 74\/3  (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 12*z**3 - 5*z - 19. Let k(c) = 49*c**3 - 21*c - 77. Let d(o) = 5*k(o) - 21*q(o). What is the derivative of d(f) wrt f?\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1514197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.04 or -0.017903?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 76\/3 - 27. Let p = -3 + 2.8. Let c = -0.1 - p. Sort c, t, -2 in descending order.\nAnswer: c, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p - 2*p + p)*(34 - p**2 - 34) - 167 - 198*p**3 + 167.\nAnswer: -200*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 4 = -6. Suppose -2*w = p*w - 16. Suppose -5*c = -w*k + 12 - 197, 5*c + 4*k - 185 = 0. What is the remainder when c is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13094 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 221373499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 5*b = 18. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 divided by 5747.\nAnswer: -3\/821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8\/(-2) - (-16)\/64*36. Solve -k - 3 = g*r, 4*k = 5*r + 6 - 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 282925422.3 and 115.\nAnswer: 282925537.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f\/(f**(5\/6)\/f)))**(-8\/15)*(f**(-33)*f)**37)**(-46) assuming f is positive.\nAnswer: f**(2450696\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 + 3*o**2 - o - 2. Let j be (-15)\/(-10) + (-7)\/2. Let a be l(j). What is the first derivative of 0*u**3 - 1 + a*u**3 - 7*u**3 wrt u?\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - r)*(4*r - 20*r - 43*r).\nAnswer: 59*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 478 + 3?\nAnswer: 47b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -311*j**3 + 82*j**3 - 280*j**3 + 33*j**3.\nAnswer: -476*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 485519*i - 1086183?\nAnswer: 485519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 39456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 65 divided by 55?\nAnswer: 13\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3125 is divided by 3092.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**3 - d**2 - d - 16. Let p be h(0). Let j = p + 23. Calculate the remainder when 18 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -38*l + 15. Let m(n) = -39*n + 10. What is 5*m(t) - 4*p(t)?\nAnswer: -43*t - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -86 + 175.5. Let w = 89 - k. Let l be (2\/3)\/(2\/(-12)). Which is the smallest value?  (a) w  (b) -1\/3  (c) l  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 6*f + 7*f + 13*f. Let w(v) = 23*v**2 - 1078. Let c(a) = 12*a**2 - 588. Let l(q) = 11*c(q) - 6*w(q). What is n(l(g))?\nAnswer: -156*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 7 + -4*1\/2*-1. Let l(f) = -f**2 + 10*f + 7. Let u be l(x). What is the greatest common divisor of u and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 560132 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.03 + 5.03. Let v = -74 - -69. Which is the closest to -0.1?  (a) -2\/5  (b) v  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*t**5 - 23918*t**4 - 14347136*t**3 - 54250576*t**2 - 45601248*t + 11405088 = 0.\nAnswer: -1194, -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/(-16))\/((-1)\/(-4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 9440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -916 - -5.9?\nAnswer: -910.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**2 + 10*m - 1. Let p(o) = -o**2 + o - 1. What is a(v) - 3*p(v)?\nAnswer: 2*v**2 + 7*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the first derivative of 145\/4*a**2 - 15*a + 65 - 15\/2*a**3. Let k(h) = 0. Calculate h.\nAnswer: 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*y = 5*z - 24, -z + 1 = -3*y - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 11 + 100134?\nAnswer: 100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -73 and -3.434?\nAnswer: 250.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -2*y + y**3 - 1 + y + 4*y**2 - 5*y. Let s be a(-5). Suppose -s*n = 5*v - 41, -2*v + 3*n - 3 = -24. Calculate the remainder when 16 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 - 12*y + 3. Let p be r(-15). Suppose -p*h = -416*h + 64. Let t be 2\/8 - (-19)\/4. Solve 21 = -t*u + 3*k - h, 5*u - 5*k + 35 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 14*h + 23 = 13*h, 3*h - 123 = -5*n. Calculate the remainder when 319 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 5*r**2 - r. Let i be z(-1). Suppose -134 = -63*d - 4*d. Solve -i = -0*n + n + w, -w = d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -5*j**3 + 17*j**2 - 3*j**2 - 7 + 3*j**2 + 9*j + 4*j**3. Let k(y) = -3*y**2 - 18*y - 7. Let c be k(-5). Is o(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12000731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 106044418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 + -1828a2a7?\nAnswer: -1828a2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -d**3\/7 + 20*d**2\/7 + 21*d + 234\/7 = 0. Calculate d.\nAnswer: -3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -2*q**2 + 2*q - 1. Let u be l(2). Which is the nearest to 1\/3?  (a) 0.3  (b) u  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 + -4. Let o = -15 + 20. Solve -5*x = k*h + o, h + x = -4*x - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/(-10) + (-6)\/(-15). Let c(z) = 3*z**2 + 4*z + 9. Let b(w) = 1 + 6*w - 4*w + w**2 - 2*w. Let l(o) = v*c(o) - 4*b(o). Give l(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 202 = 232. Let x(o) be the first derivative of 1\/12*o**3 + o + 1\/2*o**2 - z. Let x(m) = 0. Calculate m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6\/5 - -2\/15. Let i be ((-16)\/(-12))\/(((-8)\/(-18))\/(-4)). Let g be (-4)\/i*6\/(-8). Put c, 5, g in ascending order.\nAnswer: g, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - 1113?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 199 - 198. What is the greatest common divisor of m and 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 7, o: 1}. What is prob of sequence wwow?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l - 4 = q, 24*q + 20 = 19*q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34901430 divided by 2326762.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -x**5\/3 + 118*x**4\/3 + 239*x**3\/3 + 40*x**2 = 0?\nAnswer: -1, 0, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3198 + 2826 + 58*v**2 - 52*v**2 + 610*v with respect to v.\nAnswer: 12*v + 610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 509852 and 280224?\nAnswer: 3892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-26)*r**(-8))**27 assuming r is positive.\nAnswer: r**(-918)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -517583, -1035166, -1552751, -2070338, -2587927?\n\"Answer: -r**2 - 517580*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*x - 1 = 63. Let z(d) be the second derivative of -d**5\/20 - d**4\/3 - d**3\/6 + d**2\/2 + d. Let c be z(-3). Sort c, 3, x in decreasing order.\nAnswer: 3, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 5261*c + 36815. What is r(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14*h**3*o**3 - 27215*h**3*o**2 + 22*h**3 + 119*h**2*o**3 - 1189*o**3 + 10*o**2 wrt o?\nAnswer: -84*h**3 + 714*h**2 - 7134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (4\/30*-5)\/((-12)\/142) and 23\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**2 + 2163*x + 2166.\nAnswer: -3*(x - 722)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 1 = 9. What is the first derivative of -11*v**2 - 6 + 25*v**3 + 20*v**2 - 9*v**i wrt v?\nAnswer: 75*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 2*l**2\/13 + 4974998*l\/13 - 19900024\/13 = 0.\nAnswer: -2487503, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2013?\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12 + -10. Sort -4, 4, c.\nAnswer: -4, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 2)*(-124*m - 90*m - 27*m) - 1 - 3*m + 1.\nAnswer: 238*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 + -4959.\nAnswer: -4954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from yuyyyyuyyyyyuyy?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, 33629, 59, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 1 h when three letters picked without replacement from hhrhhhrrhrh?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -4182, -4190, -4198, -4206, -4214, -4222?\n\"Answer: -8*q - 4174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from zasseso.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4542851?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3623?\nAnswer: 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -168698\/27 - -6248. Which is smaller: u or -0.779?\nAnswer: -0.779","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (0 + -4*(1 + sqrt(396)) + sqrt(396)*-1 + 5 + 4 + -2)**2.\nAnswer: -180*sqrt(11) + 9905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2857\/7 + 407. Suppose -28*d + 24*d = 0. Suppose d = 9*y - 4*y. Is y at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 3*u + 4. Let i be v(-3). Let m(r) = 3*r**2 - 8*r - 11. Let o(y) = -2*y**2 + 5*y + 7. Give i*m(p) - 8*o(p).\nAnswer: p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -176361, -176270, -176179, -176088, -175997?\n\"Answer: 91*x - 176452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange (667*a - 2696*a + 1958 - 1956)*(-a**2 + 4*a - 4*a) to the form m*a**3 + y + l*a + d*a**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -418510\/21 + 19933. Find the common denominator of -56\/459 and s.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**3 + 5*s**2 - s - 2. Let g be u(5). Let t = 51\/7 + g. Let x(n) = n - 13. Let z be x(9). Sort -4\/7, z, t in descending order.\nAnswer: t, -4\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1087 is divided by 105?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*v - 6, c - 2089*v + 2092*v = 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, -2\/3, -18, 0, 104788?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 + 3. Let x(v) = 56*v**2 - 219*v - 25. Let t be x(4). Let r(n) = 6*n. Let b(w) = -w. Calculate c*r(l) + t*b(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 94*c**3 - 7*c**2 + 6*c - 2. Let j(m) = -m**3 + m**2 - m. Let b = 15 - 16. Let f(u) = b*j(u) - a(u). Let k be f(6). Round k to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.09*17\nAnswer: -1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.14 and 76319.\nAnswer: 10684.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/1431  (b) 0  (c) -5  (d) -6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1112 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + d - 23 - 18 + 7 = 3 - 2, 19*d + 25 = 24*d for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 - -3. Let u be -15*3*7\/w. Let o = u - 27. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -306*t + 19 = -310*t - s, 3*t = -4*s - 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -16*n**3 + 14*n**2 - 6*n + 28. Let x be i(-12). Suppose x = 3*s + 3*m - 108236, 230000 = 5*s + 4*m. Round s to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 27\/(-189) + 15\/7. Let p(j) = j**2 - 15*j + 35. Calculate the least common multiple of 14 and p(m).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**3 + 28*d**2 + 30*d - 15. Let c be n(29). Suppose c = 2*z + 18. Put 24, -1, z in increasing order.\nAnswer: z, -1, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 209*b = 383*b - 202*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2948 is divided by 444.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.1 + 0.1. Let w = -7399 - -66512\/9. Let v = w + 9. What is the nearest to y in -1, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:57 PM and 2:59 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4032 and 2496?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - -11. Suppose -3*t = 2*m - p, 2*t - m - 5 = 7. Let b(n) = 4*n - 6. Does 14 divide b(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.176266591046 + 0.51\nAnswer: 0.333733408954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -343.12035 - -343.2. Round x to 3 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -34*a**2 + 41*a - 6. Let w(b) = 101*b**2 - 124*b + 17. Suppose -3*m = 2*m - 85. Let i(z) = m*y(z) + 6*w(z). Find the second derivative of i(j) wrt j.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 363 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1.468 + 14.5\nAnswer: 15.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16775\/7 + 220609\/91. Let y = 2742\/91 - g. Solve -y*v - 4\/7*v**2 - 16\/7 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -p**2 - 7*p**2 - 29*p**2 + 5 + 1.\nAnswer: -37*p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13 + 22. Find the third derivative of -10*u**2 + l*u**2 - 4*u**3 + 8*u**2 wrt u.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 142, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 26 + 19. Let f = 1 + j. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p**2\/5 - 9007*p\/5 + 50596 = 0. What is p?\nAnswer: -9035, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (-1 + -3 - -17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6550256 (base 7) to base 10.\nAnswer: 802073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xrloorlwlrxtrl. What is prob of sequence lt?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 8 + 0 = 0. Let r = 5 + t. Is 2\/7 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*u**3 + 10572*u**2 + 14*u**4 - 45*u + 1 - 10573*u**2 - 6*u**4 in the form q*u**2 + c*u**3 + h*u + i*u**4 + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -4*f**2 + 23*f + 2. Let b(q) = 7*q**2 - 2*q. Let s be b(1). Let a be m(s). Calculate the greatest common divisor of 187 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = d - 35019, -3*d + 222*t + 105092 = 220*t. What are the prime factors of d?\nAnswer: 2, 83, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -681515*n**3 - 2*n - 1. Let v be w(-1). Suppose 2618484 = 3*o - v. Round o to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-1\/4))**50*v*v**(-1\/8)\/v*v*v\/v**(-4\/7)*v*v*v*v)**(-46) assuming v is positive.\nAnswer: v**(7797\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1325411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**3 + 67*y**2 - 949*y + 81127. What is q(70)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 111899580.\nAnswer: 2, 3, 5, 13, 143461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + 6*r**2 + 3*r - 1. Let l(y) = -y + 10. Let a be l(8). Suppose 0 = -a*n - 4*s + 2, 2*s = 4*n - 3*s + 35. Does 3 divide k(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 3, z: 1}. What is prob of sequence eeze?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -3*a**2 - 55*a - 12. Suppose -18 = -15*o - 288. Let n be s(o). Solve -n*t + 8 = -10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4 + 9\/3)*0. Let y be 0 + -3 - (-2 + i) - -3. Solve -2*z - z = -y*u + 13, 3*u - 19 = 4*z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-6))\/((-1)\/((-36)\/(-8))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 0.5, -3\/121, 1, 0.08?\nAnswer: -3\/121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 + 2. Let c = -28 + 27. Put d, c, -3 in ascending order.\nAnswer: -3, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 3*b = 9, -b + 1 = 109*m - 106*m. Solve -2\/7*n**4 + 18\/7*n**2 + 2\/7*n**m + 8\/7 + 22\/7*n = 0 for n.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**3\/5 - 6*t\/5 + 4\/5.\nAnswer: 2*(t - 1)**2*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -4*u**2 - 898*u + 109931. Determine k(88).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, p: 2}. Give prob of picking 2 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 19422159 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19*s**2*y**2 + 5*s**2*y - 610*s**2 + s*y - 2*s + 22150*y**3 + 9*y wrt y?\nAnswer: 38*s**2 + 132900*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 815.2829 minutes to milliseconds.\nAnswer: 48916974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 2710050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35, -2, -20419 in ascending order.\nAnswer: -20419, -2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -124 = 3*x - 5*x. Suppose 0*a - a = -j - x, 3*a = j + 182. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 3*o**2. Let m(q) = -167749*q**2. Determine k(m(t)).\nAnswer: 84419181003*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 3*d. Let w(a) = -56654*a. Determine i(w(v)).\nAnswer: -169962*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = n + s + 4*s + 17, 4*n + s - 8 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -581 - -586. Suppose -5*c + c + 20 = 0. Suppose -c*r = -2*r - 6. Solve -r*j - u = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 175304 is divided by 3845.\nAnswer: 2279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30359.\nAnswer: 7, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 303424512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 - 24*t**2 + 23*t. Suppose -270*b + 265*b + 115 = 0. Let i be p(b). Put i, -2, 7, -4 in ascending order.\nAnswer: -4, -2, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3688)\/(-205) + (12 - 2028)\/112\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -39\/3509 and -25\/1589577.\nAnswer: 1589577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 243930*-209\nAnswer: -50981370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -142 divided by 6.\nAnswer: -71\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -100110110110011101 (base 2) to base 7\nAnswer: -1231642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*v + 1750 = -39*v - 149*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 36, 7, -70, -219, -464?\nAnswer: -829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, z: 10, h: 3, n: 2}. What is prob of sequence npzz?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l and 1 v when four letters picked without replacement from lllllvlll.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*-1*(sqrt(7) - (sqrt(7) + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -133 - 38888465.\nAnswer: -38888598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 19 + i - 13 + i. Let d be x(-4). Put -3, d, 1 in ascending order.\nAnswer: -3, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*i = -55 + 215 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 + (-2 - (1 + -6)). Suppose b*i = -2*n, 2*n - 2*i = 5*n. Suppose n = -0*r - r + 1. What is the third smallest value in 2, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, -1, -811 in descending order.\nAnswer: 3, -1, -5, -811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + (5 - 848\/(-176))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ycyj when four letters picked without replacement from wwwjwwywcywww.\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**3 - 5*s**2 - 5*s + 6. Let m be u(4). Let f be (-1 - -21)*36\/m. Let i be (-1)\/(-3) + f\/(-9). Solve -2 = i*o - 14 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/18 of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*x + 8 = 19*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (120\/(-4))\/(-6) + 14. What is the greatest common divisor of 95 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -311 divided by -157755?\nAnswer: 311\/157755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 2:24 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -3*r**3 - 3*r**2 - r - 2. Let w(z) = z + 5. Let a be w(-8). Let f be l(a). What is the highest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27 divided by -2429025.\nAnswer: 9\/809675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 346239 and 346239?\nAnswer: 346239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = 5*b - 3*b. What is the remainder when b is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*j + 41 + 33 = -8*j - 2*l, -5*l - 45 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = 21 - 93. Suppose -v + 17 = -y. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 + 11*p + 14. Let i be o(10). Solve 4*m - 2*y - i = 0, -2*m - 4*y + 6*y = -16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105*k = 2*m + 104*k + 14, 3*m = -4*k + 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -911, 1\/6, 35\/149 in descending order.\nAnswer: 35\/149, 1\/6, -911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(288) + sqrt(288)*1)**2 + 3 - sqrt(288) - (sqrt(288) + -2*sqrt(288) + 4) - ((-2 + sqrt(288))*-3 + sqrt(288))*4)*1.\nAnswer: 96*sqrt(2) + 1127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + -443?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 1 j when three letters picked without replacement from ajjaj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -1702404.9 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1240*-1\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 18*k - 17*k = -34441, -172237 = -5*z - 3*k. What is the thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, k: 2, f: 1, r: 1, i: 2, n: 1}. Give prob of sequence nkfi.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 32, -26, -182, -484, -980, -1718?\nAnswer: -2746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -43 + 42.7. Which is the closest to -0.1?  (a) 1  (b) 0.2  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 7\/8 of a minute?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -d - 18, -4*d = 2*x - 2*d - 24. Let l = -10 + x. Suppose -2*y - 62 = -5*y - n, -102 = -5*y - n. Solve 0*h = l*h - y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -3*x**2 - 7*x - 6. Let u(l) = -5*l**2 - 32*l - 9 + 57*l - 36*l. Let w(m) = 8*j(m) - 5*u(m). What is w(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:25 AM and 11:41 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*h - 1 = -5*x - 15, 6 = -6*h + 4*h + 5*x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -2*k + 21. Let q(s) = 44*s - 2. Determine q(a(w)).\nAnswer: -88*w + 922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 2*t = -20 + 4, 2*g + t = 0. Suppose g*p + n = -758 - 167, -5*n = 2*p + 945. Round p to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**3 + 3*h**2 + h + 2. Let y be z(3). Suppose 4*a - 3*n - 74 = 0, 0 = 2*a + 2*a - 2*n - 64. Solve -y*j + a = g - 1, -4*g = -2*j - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -38\/5, -4, 2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11642 - -37383. List the prime factors of n.\nAnswer: 25741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9.7 + -16.6. Let j = -7 - i. Sort j, -2\/9, 0 in descending order.\nAnswer: 0, j, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -6. Suppose -2*g + 21 = l*b, 4*g + 2*b = 2*g + 16. Suppose -4*q + g*q = -5. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/4))**(-7\/5)\/(w**6\/w**4) assuming w is positive.\nAnswer: w**(-47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the third derivative of y**5\/60 - y**4\/24 - y**3\/6 + 2*y**2 - 22*y - 2. Let h(d) = -2*d**3 - 5*d**2 + 5*d + 6. Give -h(q) - 4*n(q).\nAnswer: 2*q**3 + q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1089 = -82*j + 1111 + 998. What is the greatest common factor of 1261 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 236029941 to the power of 1\/2, to the nearest integer?\nAnswer: 15363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a**2 + 221*a - 446 = 0. Calculate a.\nAnswer: -223, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 13.06232 * 155.\nAnswer: 2024.6596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -4*x**2 - 32*x - 4. Suppose 62 = -5*p + 92. Calculate the smallest common multiple of m(-7) and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 185 + -3319\/18. Let i = s - 7\/18. Determine v, given that -7\/9*v + 7\/9*v**2 + i - 2\/9*v**3 = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 + 4 - -5 - 3. What is the highest common factor of z and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one quarter of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 + 5. Suppose l - 5*r = -13, 4*r - 3*r - 2 = 0. What are the prime factors of (t\/l - 4) + 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16665000 rounded to the nearest ten thousand?\nAnswer: 16670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**2 + 4*a + 2. Let q be l(4). Suppose 0 = 6*m - 18. Solve 0 = -4*o + q*g + 16, 0*g = m*g - 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5720259?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1170782 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -10524401 (base 7) in base 2?\nAnswer: -11011111001000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = l - 0*l + 25, 10 = -3*i + l. Let m = -7\/2 + 81\/22. Suppose -3*n - 8 - 4 = 0. What is the third biggest value in i, n, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55258904 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 22609584 rounded to the nearest one hundred thousand?\nAnswer: 22600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -87?  (a) -4  (b) 3\/16  (c) 14.5  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 227 and 776387.\nAnswer: 176239849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -1 + 4 + -27 + 8 + 2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 58, 0, -19, 10, 3, -3 in ascending order.\nAnswer: -19, -3, 0, 3, 5, 10, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 2*x**2. Let f(m) = 1076*m**2. Determine f(l(g)).\nAnswer: 4304*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 5582655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -98 - (44 - 69) - (2 + -4 + 3 - -1)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of 8*i**3\/3 - 2*i**2 - 4*i + 11. Let n(h) = -7*h**2 + 3*h + 3. Calculate -6*n(s) - 5*w(s).\nAnswer: 2*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5788 - 5786. Solve -4*l - 31 = 3*r, -17*l + 20*l + 22 = -v*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*c**2 - 93139 + 11*c**2 + 13*c**2 + 5*c**2 + 14*c**2.\nAnswer: -c**2 - 93139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/((-8)\/6) + (3 - -2). Suppose 5*q - 9 = 4*a, -q - 4*a = i*q + 1. Let d(z) = -11*z**2 - z. What is d(q)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-8)\/(-56) - 1\/7. Solve b = -4*v - v + 3*q - 34, 0 = v - 5*q + 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8 - -7) + (-36)\/(-28). Is p equal to -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -517, 5, 88, -3, 31.\nAnswer: -517, -3, 5, 31, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {l: 3, f: 11}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-586806)\/(-12) + ((-15)\/45)\/(4\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 168 divided by 6\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*m**3*v**2 + 6859037*m**3*v + 2*m**2*v + 24600*m**2 - 2*m*v**2 - v**2 + 259 wrt m.\nAnswer: -24*v**2 + 41154222*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86135*q = -86316*q + 724 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9654255ms in nanoseconds?\nAnswer: 965425.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 - -15. Calculate the remainder when 1 + -2 + 35 + 8\/(-2) is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -21, 226, 4, -66, -4, 2 in ascending order.\nAnswer: -66, -21, -4, 2, 4, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.157, -2, 0.0501?\nAnswer: 0.0501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/154 and 79\/1155?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -2*l**2 + 8*l - 8. Let p(q) = q**2 - 3*q + 3. Let y(k) = -8*p(k) - 3*z(k). Let t be (-1)\/((-2)\/(-2) + -2). Let s(o) = 1 - o - t. Calculate y(s(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8667864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*a**2 - 228*a**3 + 86*a**3 + 63*a**3 + 81*a**3 - 39*a**2.\nAnswer: 2*a**3 - 101*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 226241.1 seconds to microseconds.\nAnswer: 226241100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -3717672.8 and 2222.734?\nAnswer: 3719895.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-23)\/4 + 5)\/((-9)\/(-4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 m when two letters picked without replacement from {n: 10, m: 2, h: 7, p: 1}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a5 (base 12) to base 6.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6 + -2. Suppose 0 = -x - 7 + 2. What is the smallest value in -4\/3, b, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 123 (base 11) to base 6.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 213, 442, 705, 1020, 1405, 1878, 2457?\n\"Answer: 3*f**3 - f**2 + 211*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 24, 5*r - 3*j - 210 = 984. What is the lowest common multiple of 1352 and r?\nAnswer: 12168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1476772 is divided by 369185.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**2 - 45*f - 78.\nAnswer: -3*(f + 2)*(f + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 174 + -814. Let v = 662 + k. Calculate the least common multiple of v and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 3\/35  (c) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 146747, 293598, 440449, 587300, 734151?\nAnswer: 881002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -79410 - -79406. Let w = 2 - 2. Which is the nearest to w?  (a) h  (b) 4\/9  (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:15 AM and 1:27 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 200280.\nAnswer: 2, 3, 5, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(47870\/(-7978) + 6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 37*d + 73*d + 3*d + (4*d - 5*d + 3*d)*(-2 - 1 + 1).\nAnswer: 109*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 PM and 11:00 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**2 - 9*d - 2. What is the least common multiple of i(-8) and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0009703368819 rounded to six decimal places?\nAnswer: 0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -18?  (a) 3  (b) 2  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -57 - (-33 + 84) - -42\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-36)\/(-14))\/((-6)\/(-28)). Suppose -4*f = -0*f - d. Find r, given that 0*r**2 - r + 1\/3*r**f - 2\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -3*g**2 + 10*g + 2. Let k(s) = s**2 - s + 1. Let t(m) = -3*c(m) - 12*k(m). Let o be t(-16). Is o\/4*4\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1292863.\nAnswer: 11, 13, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -4 + 4 + 3*w**2. Let f(m) be the third derivative of m**5\/60 + m**2. Determine h(f(i)).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 + 10*y**2 + 9*y + 2. Let j be f(-9). Let p = 11 - 16. Sort p, j, 4 in descending order.\nAnswer: 4, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2844*k**5 + k**4 - 25*k**3 + 412037*k**2 wrt k.\nAnswer: -170640*k**2 + 24*k - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h**31))\/((h**25\/h)\/h*h) assuming h is positive.\nAnswer: h**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -8, 1\/2, 2\/11, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -d8 - -3?\nAnswer: -d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 0.6420003 days?\nAnswer: 55468825920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11000111000001100 + 1011110?\nAnswer: 11000111001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -48\/53 in -3, 0.33, -0.0004?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -26697 - -0.4?\nAnswer: -26696.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3750 - 3566. What is the least common multiple of 161 and j?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000021877 rounded to 7 decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2264 by 566.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4581932 or 4581927?\nAnswer: 4581927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from buwsbbbubu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 + -1638c39?\nAnswer: -1638c3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 14 and 368074?\nAnswer: 368074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 1 + 0 = 0, 5*b = 3*t - 23. Suppose t*y - 2817 = -1149. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 + 875*x - 12 + 1902*x - 10 + 41.\nAnswer: 2777*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 + 5. Let f = 3 + -3. Let u = -67 - -77. Solve f*m = w*m + u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 45a17 (base 13) to base 5\nAnswer: 13030224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 672*z**2 - 672*z**2 + 62*z**3 - 145*z**3 + 58*z**3.\nAnswer: -25*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.72 and -10?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-11)\/((-330)\/40))\/(-8 + 343\/42).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 5*h - 5, -10 = -3*j + 5*j. Which is the third smallest value?  (a) 0  (b) h  (c) 4  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*w - 70 = -77 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 31302404, 62604809, 93907214, 125209619, 156512024?\n\"Answer: 31302405*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 6 + 7*x + 7.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -19.1 and 40.\nAnswer: -764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/4 in -2, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-343)\/336*(-17)\/(204\/24) and 10\/18*44\/(-32).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -12, -5, -1\/231?\nAnswer: -1\/231","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 628*(-32)\/(-6 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -32, 1\/5, 1\/3, -4134 in decreasing order.\nAnswer: 1\/3, 1\/5, -32, -4134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -355\/3 + 117. Suppose -4*c + 1256 = -0*c. Calculate the common denominator of n and 6\/14 - c\/(-84).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (-4 + 1 + sqrt(1872) + -1 + sqrt(1872) + -4)*2*-6 + -4)**2.\nAnswer: -54144*sqrt(13) + 1087108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 7 = -0. Suppose 0 = 3*a - k*a. Is 127 - 0\/(a + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -881, -1, 59490 in ascending order.\nAnswer: -881, -1, 59490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 456?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -2*z + 10. Let o be r(8). Let d(a) = 5*a - 2 - 1 + a**2 + 4 + 5. What is d(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2775\/(3*4\/(-960)). Round z to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 511490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = 4*i + 3*d - 23, -3*i + 5*d = 1. Calculate the highest common divisor of 72 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 79 - 87. List the prime factors of (86\/s - -6)*(-8)\/1.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*(-12)\/90*10\/(-12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 7*j**2 - 3*j - 1. Let f be o(1). Suppose -3*w + 0*w = -4*u + 104, 2*u = f*w + 46. Let v be u\/3 - (-2)\/(-3). Solve 3*k + v = 4*t, 3*k = -7 - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-160)\/(-720)*((-1)\/((-1)\/2))\/(-4)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -2\/767117?\nAnswer: -2\/767117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -8*m**3 + 4*m**2 + 8*m - 4. Let s(y) = 3 + 4*y - 3*y**2 - 8*y + 7*y**3 - 3*y. Let c(b) = 5*f(b) + 6*s(b). Factor c(k).\nAnswer: 2*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3643470 divided by 15\nAnswer: 242898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -226586 = -2225*g + 179370 - 94456 for g.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 569, -2, 268, 15 in ascending order.\nAnswer: -2, 15, 268, 569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 6, l: 12}. Give prob of picking 4 l.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -13 + 23. Let i = h - -2. Sort 3, i, 1 in ascending order.\nAnswer: 1, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 + -25775?\nAnswer: -25780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 598 divided by 17969.\nAnswer: 598\/17969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.35  (b) 913  (c) 72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*f - 2*f - 3*f**4 + 1 - 2*f**4 + 54*f**2 + 7*f**4 as a*f**4 + n*f + c*f**3 + y + s*f**2 and give s.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -4*b**3 - 135*b**2 - 1106*b - 38702. Calculate r(-34).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 52 = -z. Suppose -120 = -4*y + 140. Calculate the highest common divisor of z and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 2 k when three letters picked without replacement from {u: 6, d: 2, g: 2, k: 4, n: 3}.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 - 12. Let x(i) = 4*i + 1 + o*i + 4*i - 5*i. Let n be x(-1). Put -3, n, -2 in increasing order.\nAnswer: n, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -234*i + 21295. Determine x(91).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2 - -6 - (-6)\/3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -5*c + 13, 5*c - 7*c - 8 = -3*t. Suppose 4*a - 120 = -a. Calculate the highest common factor of t and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6269\/3 - -2095. Which is bigger: m or 1.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*k + 1266 = 15*k - 318. Calculate the greatest common divisor of k and 880.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 14) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4663 or -4650?\nAnswer: -4663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cee when three letters picked without replacement from {c: 2, g: 1, r: 4, e: 9, s: 3}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -969, -938, -907?\n\"Answer: 31*w - 1000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/7812 and 25\/17856.\nAnswer: 124992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -297ac (base 14) to base 7\nAnswer: -606305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 83605172?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/87117 and 86\/1065?\nAnswer: 435585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1, -3.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -5 + (0 - (-2 - -4)). Let w(i) = -i - 3. Calculate w(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3162808 by -508.\nAnswer: -6226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of x**6\/390 - 17*x**5\/390 - 29*x**4\/156 - 10*x**3\/39 + 32*x**2 + 1. Let f(p) = 0. What is p?\nAnswer: -1, -1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1115570316 and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-625)\/75)\/((-133)\/(-798))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 959 a factor of 597905812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2 and 168614?\nAnswer: 168612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 96 and 2856?\nAnswer: 11424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = h - 5*h. Suppose 0 = b + h*b - 48. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, p: 1, n: 1, i: 2, u: 1, q: 2}. Give prob of picking 1 i, 1 p, and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4306 = 237*c + 514. Solve -2*u + 4 = -2*t, c*t - 20*t - 6 = -3*u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 145551 (base 11) to base 13.\nAnswer: 7c3a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4593 + 545 = -605*u + 3212 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from ffftfxx?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(3\/2))**(1\/30)\/(q\/(q*(q*q\/(q*q**7)*q)\/q))**1 assuming q is positive.\nAnswer: q**(-71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(204) + 3*sqrt(204)) + sqrt(204))\/(2*sqrt(768)).\nAnswer: 21*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -2979*r + 74242. What is a(25)?\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**3 - 6*n**2 - 6. Let j be p(-5). Suppose -5*y - 2*l - 206 = 0, 5*y + 5*l + 215 = -0*y. Let f = j - y. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 4 - 3)*(-x + 2 - 2)*(39*x**3 - 65*x + 65*x)*(-x - x + 0*x).\nAnswer: 78*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3795848 - 3?\nAnswer: 3795845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -124 + 0*b + 2*b + 455 + b - 331.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13577 - 6543. What are the prime factors of j?\nAnswer: 2, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 6) + -8 - 0\/(-21)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/4  (b) 1\/3  (c) -2  (d) -17\/5  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g + 3. Suppose 7*b = 2*b - 15. Let o(h) be the third derivative of h**3\/2 - 7575*h**2 + h. Give b*l(v) + 4*o(v).\nAnswer: 3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 6 = -t, 7 - 1 = 3*a - 3*t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/929 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = -c - c + 22, -4*h - 7*c - 160 + 207 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2078.\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 less than 2730174906?\nAnswer: 2730174905.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i*(i*(i\/(i\/(i**6*i)*i))\/i)\/i*i**(-16))**(-44\/5))**(-2) assuming i is positive.\nAnswer: i**(-792\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -5, 566, 9, -1 in decreasing order.\nAnswer: 566, 12, 9, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 26\/5 of a decade?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from {x: 1, b: 1, g: 2, l: 2, i: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (-15 - -32) + (1480\/(-488) - 11).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/14*28\/(-12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from {n: 11, q: 2, z: 1}?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27157702 is divided by 4403?\nAnswer: 4401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4494 + 2*r**3 + 2*r**4 - 10*r + 8994 + r**2 - 4501 to j*r**2 + g + a*r**4 + h*r**3 + m*r and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 4*y + 82 = 3*y + 60, -33*j - 6*y - 172 = 5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2799511.12 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from zrrrrrzrrrr.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 208.1749 * 0.3\nAnswer: 62.45247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the second derivative of 7*i**3\/3 + 101*i**2 + 35*i + 4. What is the least common multiple of b(-5) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 793 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/3 in -151, -0.03, 0.1759?\nAnswer: 0.1759","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - -1221002222?\nAnswer: 1221010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -108, -1, 0, 14.\nAnswer: -108, -3, -1, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 18*j = -13. Solve j = -3*g + 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 3384, 7390, 11410, 15450, 19516, 23614, 27750, 31930?\n\"Answer: j**3 + j**2 + 3996*j - 614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g - g + 0*g)*(3 - 2 - 3) + 6*g + 0 + 2 - 3 - 3*g - g + 2*g + (-4 - 1 + 4)*(2 - g - 2).\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 87698958 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 3*m**3 + 7*m**2 - 7*m + 3. Let c(x) = 4*x**3 + 7*x**2 - 8*x + 3. Give -5*c(k) + 6*j(k).\nAnswer: -2*k**3 + 7*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 266, 269, 274, 281, 290, 301?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*d + 8 + 2*d - 8 + 13.\nAnswer: 2*d + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**2 - 7*d - 1. Let f be y(-8). Let v(c) be the first derivative of c**3\/3 + 4*c**2 - 8*c - 3. Let t be v(f). Is -2\/11 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-2))**(2\/41)\/(y**3\/((y\/y**0)\/y))*((y*y*y**(3\/5))\/y**(-1\/3))**(-3\/2) assuming y is positive.\nAnswer: y**(-1487\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (20\/3)\/((-264)\/(-198))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q - 5. Let z be n(5). Suppose 3 = g - z. Solve 2\/9*u**4 + 0*u - 4\/9*u**g + 2\/9*u**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/42)\/((-22)\/(-462))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 12, m: 6}. Give prob of picking 2 t.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -251*o = 2789 + 25072 for o.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/168 and -22\/105.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -10504 divided by -24?\nAnswer: 1313\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 79*s**2 - 36*s**2 - 46*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 15*s**4 - 14091*s**3 - 36714*s**2 - 22608*s = 0. What is s?\nAnswer: -8\/5, -1, 0, 942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 466*u**2 + 102*u**3 - 180*u**3 + 2138*u**2 - 418*u**3 wrt u?\nAnswer: -2976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 8 = -4*q, 4*s - q = -2 - 3. Let t be (s - -1)*(-2 + -18). Solve 0*z = -4*z + t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -118 - -83. Let r = 29 + o. Is (1053\/r)\/((-6)\/8) - -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 - (16\/60*35 + (-6)\/18). Let n(m) be the first derivative of -m**2\/2 - 16*m + 1. Calculate n(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37942 less than -1.175892?\nAnswer: -37943.175892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 6*x - x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -283 - -259 - (-12 + 0)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -4*t**3 + 9*t**2 + 213*t - 1. Let m(p) = -6*p**3 + 15*p**2 + 426*p - 2. Determine -3*m(f) + 5*x(f).\nAnswer: -2*f**3 - 213*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -6*w - 10. Let x be s(-5). Suppose -3*i + 8*i = x. Let r be (-15)\/(-20) + (-303)\/(-12) - i. Calculate the greatest common divisor of r and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 - -12. What is the hundreds digit of (30\/c)\/((-4888)\/(-1216) + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 - 2)*(i - i - i) + 4*i - 7*i - 6*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*r = -54*r + 280. Let h = 36 + -21. What is the remainder when r is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*u + 11 + 1. Let g = -5 + 1. Let s = g + 13. Calculate the least common multiple of s and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.33 - -1.03. Let n = -0.8 + 2.8. What is the nearest to -1\/3 in -1\/2, i, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.5 - 4.5. Which is the nearest to j?  (a) 0.2  (b) -2\/15  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/13985188 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = s - 5*x, -3*x = -3*s + 36. Let v = 152 - 89. Calculate the remainder when v is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*q = 77*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**2 - 11*b. What is z(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20.1 - 23. Let y = -3.1 - t. What is the nearest to 2\/5 in 2\/5, y, -2\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000102012 rounded to 7 decimal places?\nAnswer: -0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**2 + 40*a + 50. What is the units digit of b(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 8) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1\/9  (b) 4  (c) -3  (d) 5\/11  (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-306)\/(-255)*15\/2. Is 3 a factor of (-38)\/171 + 164\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40*10\/25 - -24.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 641460*i**3 + 338636 wrt i?\nAnswer: 1924380*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 355519?\nAnswer: 355519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 264 + -266.7. Let l = -69.3 - -73. Let j = k + l. Which is the nearest to 0?  (a) j  (b) -1\/3  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3120 - -235551?\nAnswer: 232431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11\/6 - -167\/90. Let c(v) be the second derivative of 1\/18*v**4 - k*v**6 + 0*v**2 - 1\/9*v**3 + 1\/30*v**5 + 5*v + 0. Determine z, given that c(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m = m - h - 3, -2*h = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1385, 2708, 3979, 5198, 6365?\nAnswer: 7480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 3*l + 3 = -4*u, 4*u = 5*l - 33. Suppose 0 = -l*d + 48 + 62. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 700 and 3976.\nAnswer: 99400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -934984 by -146.\nAnswer: 6404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1244026 by 1244026.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 16*h**2 + 4*h - 6. Let k(p) = 5*p**2 - 4*p - 1. Let a be k(3). Let g = 34 - a. What is the units digit of n(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*(-15)\/(-132)*(-28)\/(-35)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 16 = 2*g - 4, -2*t = g - 6. Let z = 0.6 - -0.4. Let n = -2 + 2.3. What is the nearest to 0.2 in n, t, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:16 AM and 3:20 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the second derivative of 0*h**2 + 2*h**7 - 46*h + 0*h**5 + 0 + 34\/3*h**3 + 0*h**4 + 0*h**6. Find the second derivative of g(f) wrt f.\nAnswer: 1680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.77 - -2.77. Sort m, -0.2, -4, 10 in decreasing order.\nAnswer: 10, m, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 + 7. Let u(b) = b**2 + 12*b + 11. Calculate the remainder when u(-14) is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 257199 (base 10) to base 2\nAnswer: 111110110010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 12, b: 1, n: 3}. What is prob of picking 1 h and 1 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -739.7 + 775. Let r = p + -35. What is the smallest value in -2\/5, 1, -1\/9, r?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 204*b - 68*b - 73*b - 65*b. Let w(i) = i**3 + 2*i**2 - i. Let t be w(1). Let s be (-1)\/((-2)\/2 + t). Give q(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) -3\/11  (c) -1  (d) -0.3  (e) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -47af (base 16) to base 2\nAnswer: -100011110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (1\/1)\/(9*(-12)\/(-54))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -3*m - 36, -s - 4 = -3*s - 3*m. Let p = -502 - -503. What is the greatest common factor of p and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-33)*o*o\/(o\/(o**29\/o))*o)**(-48) assuming o is positive.\nAnswer: o**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1556, 1034, -350, -3028, -7432?\n\"Answer: -72*o**3 + o**2 - 21*o + 1648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4055?\nAnswer: 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnsvavolooov. Give prob of sequence vona.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 7) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 h when three letters picked without replacement from pphhgk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140*w = -169*w - 364*w - 673 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 4 + i)*(214 - 116 - 118) in the form h + w*i and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 16793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -990\/7 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 9953711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/15  (b) 260978  (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 681*t = 686*t + u + 51, 0 = 5*t + 5*u + 55 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = w + 3*j, 4*w + 225*j - 221*j = -16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-19)\/(-6)*-2)\/((22\/33)\/2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a centimeter in millimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 - 14\/(-3) - 39253\/51. Which is bigger: -767 or v?\nAnswer: -767","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -432 = -9*c + 18. Let p = c + -46. Suppose 9*w = 13*w. Solve w = 2*t + 3*o, 4*t - p*o + 0 = -20 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:36 AM and 12:01 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 5 + 5 = -5*h, 3*b + 12 = -3*h. Let k = -1.17 + 1.1. Let t = -2.93 + k. What is the nearest to b in -1\/3, t, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 225 - -339. Calculate the remainder when n is divided by 48.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12*(-10)\/14*3150\/(-3375).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -3 + 5 - (55 - 48)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 113874.\nAnswer: 2, 3, 18979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the third derivative of -h**5\/15 - 139*h**4\/3 - 38642*h**3\/3 + 122*h**2 + 1. What is z in f(z) = 0?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3577653 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -w - w + w + (0 - 3 + 8)*(0 - 4 + 3)*(-w + 2*w + w + (-6*w + 4*w + 0*w)*(2 - 1 + 1))*(-5 - 2 + 6) to t + j*w and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 301 (base 8) to base 6.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r - 8*r = j, 2*j = 4*r. Solve j = -38*h + 34*h + s - 6, 0 = -3*s + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14932008 divided by 159.\nAnswer: 93912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0, 67, -5 in decreasing order.\nAnswer: 67, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -119\/2 - -61. Let j = 1\/134 + -35\/201. Which is the biggest value?  (a) j  (b) h  (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3\/(-48)*-2)\/(-1 - -4). Let k(h) be the third derivative of 0*h**4 + 0*h + 3*h**2 - 1\/240*h**5 + 0 + x*h**3. Find r, given that k(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8 + 6 - y**3 + 0*y**3 - 2*y**3 - 3 to the form h*y**3 + b*y + r*y**2 + n and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33580, -34095, -34606, -35113, -35616, -36115, -36610?\nAnswer: -37101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) -0.3  (c) -1\/3  (d) -10  (e) 9  (f) 136\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r + 5*y - 1535 + 241, 4*r - 1300 = -2*y. What is the remainder when 989 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -12*t**2 + 2. What is f(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes before 9:00 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*b - 30 = -5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 + 1130222?\nAnswer: 1130231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20, -20, -8, 28, 100, 220, 400?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 137 = -5*u - 218. Let j = 103 + u. Calculate the remainder when j is divided by 51\/(-2)*(-28)\/42.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2639\/5 or 1?\nAnswer: 2639\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 152*g**4 - 91*g**2.\nAnswer: 3648*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of -2*t**5\/5 - 101*t**3\/3 + 201*t**2\/2 - 473. What is the second derivative of p(a) wrt a?\nAnswer: -24*a**2 - 202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -936441, -1872884, -2809327, -3745770?\nAnswer: -4682213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*d + 300 + 510 = 0. Let a = d - -106. Suppose 2*y - 60 = -r, 0 = -4*y + 3*r + 104 + a. What is the remainder when 55 is divided by y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 94610050 is divided by 51.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 - 6. Let b be 152\/32 + 1\/4. Let g = b - 5. Determine d(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 490*r - 238*r + 2*d = 245*r + 157, -79 = -3*r + 5*d for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 16 - 16)*(3*o - 5*o - o + (0 - 2 + 0)*(-2*o - 5*o + 5*o) + 8*o - o + 7*o) to x + b*o and give b.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 386 - 547. Let f = x + 159. Let t = 0 + 0.5. Which is the fourth biggest value?  (a) t  (b) -0.5  (c) -0.4  (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3 + 2)\/((-7)\/(-847)). Which is smaller: s or -122?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2729290, -2729287, -2729284, -2729281, -2729278?\nAnswer: -2729275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the third derivative of 5\/24*i**4 + 0*i + 0 + 6*i**2 + 4\/3*i**3. Is j(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 + -10. Let r be (h\/6 + 1 + 0)\/(-2). Let k = 0.36 - 0.06. What is the nearest to 4\/5 in -5, r, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*h**2 - 2*h**5 - 7*h**2 + (-2*h**4 + 2*h**2 - 2*h**2)*(-3*h + h + 0*h) + h**5 - 5*h**5 + 5*h**5.\nAnswer: 3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/(-3))\/(1\/2*4\/(-6))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 236.\nAnswer: -3\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*o = 31209 + 13238 + 54003. What is the greatest common factor of 50 and o?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9080130 divided by -10\nAnswer: 908013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 - p**2 - 13*p + 4. Suppose c - 5*q = 40, -5*c - 2*q = -5*q - 244. Let h = c - 45. Does 13 divide x(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-3)*b)\/(b*b**(-2)))**(-39) assuming b is positive.\nAnswer: b**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12 - 17. Let r(g) = -g**2 + 2*g. Let z(f) = 3*f**2 - 4*f. Let u(y) = l*r(y) - 2*z(y). Factor u(t).\nAnswer: -t*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3305352 rounded to the nearest one hundred thousand?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.890659 rounded to 2 decimal places?\nAnswer: 6.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 3*p + 4. Determine l, given that 13*l**2 + 4*l**3 + 12*l + l**4 - p + 6 + l**3 + l**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5903?\nAnswer: 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l. Let p(a) = 4*a**2 - 3*a. Let x(i) = 51*i**2 + 6*i - 1. Let g(c) = 2*p(c) + x(c). Calculate g(b(q)).\nAnswer: 59*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -18d (base 15) in base 12?\nAnswer: -25a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1160\/(-16)*(-80)\/200?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f + 45 - 37. Suppose -5*y + 613 = 4*k, -y + 2*k = f*y - 601. Let g(a) = -3*a - 1. Let p be g(-4). What is the highest common divisor of y and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1358, -2, 0, -5 in increasing order.\nAnswer: -1358, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -105*l. Let b(t) = 35*t. Let n(q) = 18*q**2 + q - 2. Let m be n(1). Give m*b(w) + 6*r(w).\nAnswer: -35*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 29.291 - -3.457. Round m to one decimal place.\nAnswer: 32.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 1 = -5*w - 2, x = -2*w + 1. Let v(u) = -2*u**3 + 7*u**2 - 2. Let l(j) = j**3 - 4*j**2 + 1. Let r(q) = x*l(q) + 4*v(q). Differentiate r(z) wrt z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 23 + 5. Let m = w + -20. Suppose b + m*b - 135 = 0. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -88 + 90 - (9 + -4 - (13 + -3) - 34).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 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: Rearrange (-5005*l + 18871*l - 1792 + 1792)*(1 + 0 - 7) to the form m*l + t and give m.\nAnswer: -83196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 54 + -54.000247. What is r rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/10 of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(117)\/(sqrt(9) + -1*4*sqrt(9)) + 1.\nAnswer: -sqrt(13)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, p: 17}. What is prob of picking 1 h and 1 p?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 861 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -b + 7 + 7 - 129 as o*b + q and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(150)\/(sqrt(5) + (sqrt(320) - sqrt(5)))*1)\/(-4*((sqrt(10) - (sqrt(80) - 5*sqrt(80) - sqrt(80))\/sqrt(8)) + sqrt(10))).\nAnswer: -sqrt(3)\/224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (612\/(-27) + 23)\/(10\/66)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-1 + ((4 + -2*sqrt(833))*-6)**2).\nAnswer: -602635 + 20160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 547496731\/333 + -1644133. Let z = -2\/333 - o. Let t = 2.9 - -1.1. Which is the smallest value?  (a) -2\/5  (b) z  (c) 3  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4942 + 29653\/6. Let x = 0.02 + -0.08. What is the nearest to 1 in -0.2, x, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 4*u - 3. Let c be (8\/(-14))\/(4\/(-14)). Let f be v(c). Solve y = -4 + f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 AM and 10:10 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 22*d - 1251. Let z(c) = -c**3 - 5*c**2 + 11*c - 2. What is the remainder when z(-9) is divided by g(58)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 115472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48169 = 8625*c - 581456 for c.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 4 + 1)*(2*z**4 - 2*z**4 - 2*z**4)*(-7 + 1 + 0).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 782864566 to the nearest integer?\nAnswer: 27980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**2 - h - 8. Let i be u(4). Suppose x = -4*m - x + 6, 0 = m - 5*x - 7. Put i, m, 6 in descending order.\nAnswer: 6, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -165*k**2 - 45*k + 135. Let w(q) = 15*q**2 + 4*q - 12. Let j(z) = -4*p(z) - 45*w(z). Let h(o) = -23*o. Determine j(h(b)).\nAnswer: -7935*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -b + 15. Let i(x) = -3*x + 203. Let n be i(64). Solve b*y - n = 5*m + 9, -4*m = -y + 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4884029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 - (-4 + 0)*-2. Let y be (-46)\/g + ((-12)\/(-5))\/(-4). Differentiate -9 + 424*o**y - 432*o**4 - 15 wrt o.\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -787 smaller than -786?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -10, -12 in descending order.\nAnswer: 1, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the second derivative of -5*g**3\/6 - 6*g**2 + 19*g. Let h be w(-5). Suppose -h*r = -11*r - 14. Solve 2*s = 3 - r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -49 - -54. Suppose i - 36 = -x*i. What is the remainder when 35 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1386.1*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**2 - 11*d - 5. Suppose 0 = g + 4 + 1. What are the prime factors of u(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - 121?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -826*s. Let q(k) = -915252*k. Calculate q(r(j)).\nAnswer: 755998152*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1, 22, 43, 64, 85, 106?\n\"Answer: 21*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/14 - (-23166)\/77. Let w = -297 + d. Solve s - 25 = -w*k, 0*k + 3*k = -s + 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 35\/(-84)*6 + (-9)\/(-6). Let q(f) = 8*f**2 + 13*f + 6. Let r(y) = -y**2 - y - 1. What is h*q(k) - 6*r(k)?\nAnswer: -2*k**2 - 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 44 and 78715934.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81724813 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-72 - -1) + (-109 + 42 - -76) + 3 + 1\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 6 - b + 3)*(102*b - 2 - 104*b - 13) to s + r*b**2 + o*b and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/4*920\/345*6\/2\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-1 - -4) + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 100*u**3 + 5 - 115 - 104*u**3.\nAnswer: -4*u**3 - 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 831121639 to the power of 1\/3, to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {m: 3, a: 1, p: 1, f: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.4, -1\/4, 0.08, -1\/9, -1223, 1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 857016011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 320468.\nAnswer: 2, 113, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -2*j + 2. Let b be k(-1). Let o = -5 - 0. Put o, b, 2 in descending order.\nAnswer: b, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1648\/321 at least as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 135 - 43. Calculate the highest common factor of 828 and p.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 1 = 5. Let g = 1 + t. Let x be (3 - 24) + (-1 - g). Round x to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 123 = 2*j + 3*d, -3*d - 51 = -j - d. Let i = 27 - 22. What is the remainder when j is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29728, 65827, 101930, 138037, 174148, 210263, 246382?\nAnswer: 282505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (167 - 185) + 7 + (-21 - 6)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15193*j**4 + 5895*j.\nAnswer: -182316*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 12485 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -660554 (base 9) in base 8?\nAnswer: -1401602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -43*w**2 - 97*w - 383. Calculate q(-5).\nAnswer: -973","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.05, 1\/4, 0.4, 2, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -18 + 24. Calculate the remainder when b is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3}. Give prob of sequence yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:46 PM and 5:10 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (6 - 3)\/(246\/4). What is the fourth biggest value in -2\/7, 1, w, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**1\/t*(t*t*t*t*t*t**(-7)*t*t*t)\/t*t)\/(t**2*t**(-3\/8)\/t)*(t**(-2\/11)\/t**0)\/(t**(-2\/5))**(-20\/9) assuming t is positive.\nAnswer: t**(-551\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2445 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -6*h + 3. What is w(-4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -7, 2, 5, -1186, 43 in descending order.\nAnswer: 43, 5, 2, -4, -7, -1186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 7 - 3)*(1 - 5*u**2 - 1)*(6*u**2 - 18 + 18).\nAnswer: -30*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2557*q - 405. What is the units digit of p(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -150 - -151. Find the first derivative of -30*b**3 + 26*b - 56*b + o + 30*b wrt b.\nAnswer: -90*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -495624 divided by -4.\nAnswer: 123906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -4*q - 4*s, -3*q + 0*q = -s - 56. Let a = 19 - q. Solve -3*z = 4*t + 5, -t - 2*z + z = a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-g + 1 - 1)*(-5*g + g + 2*g) + 211*g**2 - 70*g**2 + 47*g**2 as r*g + z*g**2 + q and give z.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -29, -151, -475, -1103, -2137, -3679?\n\"Answer: -17*z**3 + z**2 - 6*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92*l + 27*l + 3 + 79*l**2 - 75*l**2 - 34*l.\nAnswer: 4*l**2 - 99*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -38\/3, -0.1, 4, 5, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 36382, 72750, 109118, 145486, 181854, 218222?\nAnswer: 254590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-132)\/(-99)*2\/(-8)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2275623.66 and -0.511921?\nAnswer: 2275623.148079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 53*j - 583. Let v be x(11). Which is the third smallest value?  (a) v  (b) -0.6  (c) -0.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -128 divided by -64.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -738 - -887. What is the remainder when w is divided by 35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(((-135)\/(-20))\/3))\/(96\/648)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 + -11. Let d = 3872 - 30979\/8. What is the closest to d in 2\/9, u, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the second derivative of -k**3\/6 + 9*k**2\/2 + 5*k. Let r be y(7). What is the third derivative of -4*x**3 + 2*x**2 - 3*x**3 - x**r + 2*x**3 wrt x?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 12.8  (b) 10  (c) -0.2  (d) -0.5  (e) 8549\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/260*13*-2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5 - (-8)\/2) + 451. Suppose -228 = -2*p - 4*c, 6*p - 10*p - 5*c = -r. Suppose 3*k - p - 115 = 0. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -86473 - -172161. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - 14. Let l = -7 - w. Solve 2*z - 12 = 4*i, z + l = -2*z - 5*i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the first derivative of -t**6\/15 + 18*t**5\/25 - 23*t**4\/10 + 22*t**3\/15 + 24*t**2\/5 - 8*t + 742. Find z, given that y(z) = 0.\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, x: 1, b: 1, n: 2, z: 1, y: 1}. What is prob of sequence zx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2174649230.99999817 - 2174649197. Let k = 34 - d. What is k rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1095159469 to the nearest integer?\nAnswer: 33093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*w + 450 = 22*w. What is the remainder when 86 is divided by w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 3 = -2*p - 9, -3 = -c. Solve -4*l - 1 = -p*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3876704 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.5 + -0.7. Let j = -9377.8 - -9378. What is the biggest value in z, -0.04, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (69*f**2 - 20*f**2 + 9*f**2)*(4*f**2 - 5*f + 5*f).\nAnswer: 232*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 - 16 = 4*j. Find the common denominator of 0 - 30*9\/24 and ((-1)\/(-12))\/(j\/783).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1060 a factor of 5756860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {b: 1, w: 1, s: 2, h: 2, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*q - 20 = -17*q. Let i be (q - -9)\/((-8)\/(-10)). Put -4, i, 3 in decreasing order.\nAnswer: i, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 + 13*z**2 - 40*z + 14. Let q be w(8). Calculate the highest common factor of q and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1b19 - -39?\nAnswer: -1ac0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 122*n**2 - 25*n + 10. Let j be w(16). Suppose j = 2*l - 3*r, r - 61712 = l - 5*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 508 - 509. Let p be (6\/((-36)\/(-30)))\/(r + 2). Let s = -0.1 + 0.1. What is the second biggest value in s, p, -3\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 242424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 13752745 to the power of 1\/3, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 231, 834, 1809, 3156, 4875, 6966?\nAnswer: 9429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 + (-5)\/((-70)\/16))\/((-260)\/(-140))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 2*x = 5*x + 35, -2*n + 3*x + 25 = 0. Suppose -4*p - 13 - 61 = -2*v, 3*v - n*p = 110. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1945363, 1945289, 1945215, 1945141?\n\"Answer: -74*w + 1945437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 + -1 + (-42)\/4. Let q be 1\/((-12)\/(-44))*(8 + -5). Suppose -10*m + q*m = -11. Is m at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 92\/4455 and -13\/20097.\nAnswer: 904365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -221396, -442972, -664550, -886130, -1107712, -1329296, -1550882?\nAnswer: -1772470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1483170248.\nAnswer: 2, 7, 19, 1393957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 12:01 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001 + -10?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 18 or 901\/49?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lpel. What is prob of picking 1 l and 3 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2502058 to the power of 1\/2, to the nearest integer?\nAnswer: 1582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 275 and 330.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 + 16*o + 32. Let h be i(-5). Let d = h + 43. Suppose -a + 5*r = -d, 0*r + 4*r - 176 = -4*a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 + 7*z**2 + 113*z - 82. Calculate m(-9).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6359272 by 10852.\nAnswer: -586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 173229.5kg?\nAnswer: 173229500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(153)\/sqrt(3))\/sqrt(3).\nAnswer: sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 53\/4480419 or 1?\nAnswer: 53\/4480419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 6*x - 1. Let g be (-3)\/2*(-52)\/6. Let t = -12 + g. What is q(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6817456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 41874450 and 555717?\nAnswer: 7827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7167 + -7165. Let m(d) be the first derivative of 1\/6*d**x - 1\/3*d - 3 + 1\/12*d**3. Find p, given that m(p) = 0.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19412 + -19399. Suppose -7 = -0*c - c. What is the lowest common multiple of c and g?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 4 - 2)*(58*b + 60*b - 485*b) to the form i + j*b and give j.\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 555232.\nAnswer: 2, 17351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes after 8:53 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 35*x**2. Let z(r) = 19827*r. What is j(z(m))?\nAnswer: 13758847515*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -165, -152, -121, -66, 19, 140, 303?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dhdd when four letters picked without replacement from dhddddhddddhddhddddh.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 58, 1, -1.\nAnswer: -1, 1, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 21*k**3 + 54*k**2 + 24*k.\nAnswer: 3*k*(k + 2)*(7*k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(330)*-1)\/sqrt(10))\/(sqrt(33)\/(-2*sqrt(3))) - sqrt(96)\/(sqrt(1152)*-3))**2.\nAnswer: 1369\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15531 and 589?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -2*p. Suppose u = -3*u. Suppose 15 = -4*n + 27. Let t(o) = n*o + 5 - 5 + u. Determine t(h(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0097901482 to 6 dps.\nAnswer: 0.00979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (32\/(-12) - -3)\/((39\/(-54))\/13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1924.4943029 + -1898.49431. Let f = p + -26. Round f to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 449 + 625. Let z = -1074 + s. Factor -3\/2*p - 15\/4*p**2 - 9\/4*p**3 + z + 3\/4*p**5 + 3\/4*p**4.\nAnswer: 3*p*(p - 2)*(p + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -22 - -48. Let w = -5175 - -5206. Solve 2*c - 2*l + 7*l = -w, 4*l = -2*c - k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 228*g + 196970 = -1445*g + 71495 for g.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1395.847 millilitres in litres?\nAnswer: 1.395847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1492757438?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - 371e1b?\nAnswer: -371e16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/24 - 2\/(-8)) + 1680\/252.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16154782 by -37223.\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*r**3 - 5*r - 4*r**3 + 4*r)*(1369*r - 1369*r + 26*r**2) + (-3*r + r**4 + 3*r)*(6*r - 6 + 6) + (0*r**4 + 0*r**4 - 3*r**4)*(2*r - r - 2*r).\nAnswer: 35*r**5 - 26*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -384 + 384 - 6*r + (-2 + 5 - 5)*(-68*r + 198 - 198) as o*r + w and give o.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 1 + (-82 - -85)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (9*g + 0*g - 4*g)*(0 + 1 - 2) as y*g + i and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 106 = -c, 12*t - 8*t = 3*c + 232. Calculate the least common multiple of 85 and t.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*i = 12*i - q, -8*i + 4*q - 12 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vffvbvz. Give prob of picking 1 f and 1 z.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 - -2) + -83 + 80 + 51?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -3*t - 143, 2*u + t - 2*t = 69. Let v = -29 + u. Let y be (0 + 9)*(1 - 0). Put -3, v, y in descending order.\nAnswer: y, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 107, 1, 5.4, -5, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes after 6:36 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1298 + 3586. Is u a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 46\/(-69)*4725\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1130509 is divided by 49150.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 65*v + 391. Let k be o(-6). Sort 0, -2, -23, k in decreasing order.\nAnswer: k, 0, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -89 - -89. Suppose t = -3*r - 3, -7*f = -9*f + 5*r + 819. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 119483 is divided by 912?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 2\/3, 68, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 21441 (base 5) in base 4?\nAnswer: 113120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 9\/2*(-56)\/(-126). What is the common denominator of (0 - 41\/5)\/(-4) and 9\/(-4) + v - 87\/48?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**3 - 12*u**2 - 30*u + 20. Let g be i(14). Let d be 5\/(-10) + 76\/g. Is -2 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -23*o + 14*o - 23*o - 192 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 - 0. Suppose 4*m + m - 15 = -2*k, 3*m - 18 = -q*k. Let t(r) = 152*r + 1842. Let u be t(-12). Solve -2*g - 3*w = g + 6, g + u = -k*w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -12*w*z**2 - 2*w*z + 11192123*w + 2*z**2 + 18*z wrt z.\nAnswer: -24*w*z - 2*w + 4*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 59 times -0.07\nAnswer: -4.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 34, -2, 13, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = 247*j - 238*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 173363139 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.12065 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 12*d - 2. Let l(s) = 11*s - 3. Let o(z) = -5*b(z) + 4*l(z). Let g be 8\/(-12)*-6 - 8. What are the prime factors of o(g)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 6 = l. Suppose 1 - 3 = -l*o. Let c(y) = y - 8. Let g be c(8). Solve 4*b - 6*h + h = -23, b + h - o = g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 34 and 3661305170.\nAnswer: 3661305204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - -2100100110?\nAnswer: 2100100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1174 + 1815. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + (-7 - -11) + (-29 - (4 + 8)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 68\/(-3)*414\/207*(-6)\/(-4)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -2*v - 4*a, 69*a - 35 = -5*v + 72*a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 212 and 10.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -6*j**2\/11 + 76949252*j\/11 + 51299504\/11 = 0.\nAnswer: -2\/3, 12824876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1999 < -1996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**2 + s + 14. Let d be 0*(5 + -1)\/(-8). Does 5 divide j(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 1 k when three letters picked without replacement from {m: 6, k: 6}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 1098*f**2 + 92218*f - 1182. What is q(-84)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 554 is divided by 181.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10*2389 + -11 + -10*(-12)\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/p**(-1\/3))**(3\/5)\/(p\/((p**0*p*p)\/p)*p**(-2\/5)))**11)**(-7\/2) assuming p is positive.\nAnswer: p**(-231\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*a**5 - 13*a**3 - 494*a**2.\nAnswer: 480*a**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -4*z + v + 380, -4*z - 5*v = -380. Suppose 2*n + 5*l = z, 43 = -3*n + 4*n + l. Does 20 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 369*n**3 - 18*n**2 + 33. Let m(a) = -184*a**3 + 9*a**2 - 17. Let o(t) = 7*m(t) + 4*y(t). What is the third derivative of o(u) wrt u?\nAnswer: 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 4 - 38 = 2*z, 0 = 2*z + 4. Let d(c) = 2*c**2 - 3*c + 6. Let a be d(p). Let h be (-10)\/(4\/1 - 5). What is the greatest common factor of a and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -19*o**2. Let x = -19 - -24. Suppose -30 + 0 = -x*n. Let m(j) = -3*j**2. Determine n*u(b) - 39*m(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -5*p**2 + 6*p + 17. Let i be u(-6). Let x = -96 - i. Calculate the remainder when x is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**3 + 8*k**2 + 2*k - 2. What is the tens digit of y(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5773 divided by 1\nAnswer: -5773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 10, p: 2, r: 6}. What is prob of sequence rg?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 520625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(2\/9)\/x)**(-2\/11)\/(x**(2\/9)*x)**(2\/5))**(-27) assuming x is positive.\nAnswer: x**(516\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 - 8*u**2 - u - 1. Let j be s(-7). Let f = j + 49. What is the second derivative of -x**2 + f*x**2 + 15 - 6*x - 15 wrt x?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 2:37 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23268 + 42*t**3 + 31353 - 54620.\nAnswer: 42*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 13\/4?  (a) -0.5  (b) -2\/49  (c) -0.06  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2085 - -18769\/9. Sort 4, n, -0.9, -62 in decreasing order.\nAnswer: 4, n, -0.9, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in 0.4, -5, -0.5, -0.08?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 18\/279*92132\/743\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.08432 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-5)\/5*(-117)\/(-260) and (81\/(-696))\/9*-42.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59*h**2 + 8*h - 7*h + 56*h**2 + 209*h**2.\nAnswer: 324*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Do -5498\/4107 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let n = -42 - -44. Calculate the common denominator of -53\/3 and n - (2\/7)\/((-36)\/(-663)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*o - 3*p - 28 + 88 = -4*o, 5*o - 150 = -50*p for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 9 = -n + 21, -2 = 5*k - 3*n. Solve 4*z + 32 = 3*l + 34, 0 = k*z - 2*l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1588713, 1588712, 1588711, 1588710?\nAnswer: 1588709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((b*b**(1\/3))\/b)\/b)\/b**(1\/5))\/(b\/b**(-3\/4)*b*(b**(2\/15)\/b)\/b))\/(((b*b*b*b**0*b)\/b*b)**(4\/13)*b**(-4\/7)*b*b\/(b**(-3)\/b)) assuming b is positive.\nAnswer: b**(-3061\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2 - 11*u + 13. Calculate w(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13)\/390*9*(-30)\/(-33)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 2 - (-28 + 49 + -20)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of h**2\/2 - h + 4. Let l be n(3). What is the common denominator of l\/(-10)*(-1935)\/(-18) and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -2*w - 4659. Let g(s) be the first derivative of -s**2\/2 + 10831. Calculate g(b(c)).\nAnswer: 2*c + 4659","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 8.3 and 9.4583?\nAnswer: 78.50389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -65 divided by 18321\nAnswer: -65\/18321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 438 is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*f**2 - 38*f + 34 - 9*f**2 + f**2.\nAnswer: f**2 - 38*f + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -0.4, -340 in decreasing order.\nAnswer: 0.2, -0.4, -340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.32*4.2.\nAnswer: 1.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 498119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -29*n + 18. Let a be c(8). Let t = 375 + a. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((sqrt(96) + (sqrt(96)*3 - sqrt(96) - sqrt(96)))\/sqrt(8)*5 + -5*sqrt(18)\/sqrt(6)*-5*4))**2.\nAnswer: 172800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ecf when three letters picked without replacement from zeefeefec.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001779 rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -j + 4*p, -15 = -j - 2*p. Suppose -j + 2 = -3*c. Does 19 divide (32 - c) + 3*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1979619*-0.1.\nAnswer: -197961.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 + -5. Suppose 2*k = k + x. What is t in t**k - 6*t + 6*t = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -541, -2184, -4929, -8770, -13701, -19716, -26809?\nAnswer: -34974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -786\/7 - -112. What is the nearest to a in -2, 2\/11, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the second derivative of -x**3\/6 + x**2 + 5*x. Let o be q(-1). Solve 2*a = 5 + o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 21780 and 4455?\nAnswer: 196020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 1 z when three letters picked without replacement from ffbzqdzqfzqqyqbqq?\nAnswer: 63\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6536 by -76.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from roorvrooo.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 274654685 to the power of 1\/2, to the nearest integer?\nAnswer: 16573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 463, 465, 469, 475?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1409 is divided by 138?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 174682\/11 + -15880. Which is the second biggest value?  (a) -87  (b) 5  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = -6*o + 6. Is 10 a factor of o + 12 - (1 + -375)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/35 or -1\/2?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1429 and 7?\nAnswer: 10003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 10503977243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 19924890557 - 0.13?\nAnswer: 19924890556.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 112 and 3248.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -6 from -50022341.\nAnswer: -50022335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 81005871659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 5897280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 4*m - 1. Let d(n) = 69*n - 53. Let y(v) = d(v) - 4*z(v). Suppose -4*i + 2*j + 20 = 0, 4*i + j = 8 + 12. What is the units digit of y(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(2\/7))**(15\/7)\/((b*b**(-1\/6))\/(b*b**(-4\/9))) assuming b is positive.\nAnswer: b**(295\/882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2849558?\nAnswer: 2, 1424779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (69\/184)\/(3*(-3)\/(-72)). Suppose -j = f + p, 2*f - 2 - 6 = 5*p. Let i(v) = 8*v**3 - v**2 - v - 1. What is i(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -379, -759, -1139, -1519, -1899?\nAnswer: -2279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.39 - 0.09. Let j = -1247.992 - -1252. Let w = 0.008 - j. Which is the smallest value?  (a) w  (b) p  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 427*y - 87*y - 80*y - 87*y - 85*y - 83*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 a factor of 6161751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 21647 + -2?\nAnswer: 21645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -10211670 divided by 2042334?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -3203522.572 rounded to the nearest 10000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -1104*b - 130269. Give y(-118).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18234 + 12126 = 33*s. Is 40 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11177*d**4 + 4*d**3 + 3723*d**4 + 3728*d**4 + 3724*d**4 - 115 + d as r*d**3 + k + w*d**4 + z*d**2 + u*d and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**3 + 937*s**2 - 213666*s + 632592.\nAnswer: -(s - 552)*(s - 382)*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 116*t**2 - 135*t + 50. What is the hundreds digit of m(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(1\/4)*q*q)**(-3\/7))**40\/(q**(-6\/11)*q**8*q\/q**2*q**(2\/3)) assuming q is positive.\nAnswer: q**(-14515\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (2520\/4)\/(5\/(-610)*-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (35*x + 52*x - 9*x)*(0 + 1 + 5) - 4*x - x - 21 + 3*x.\nAnswer: 466*x - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -247*s = -249*s + 14 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + ((1 - 5) + (9 - 7) - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 194659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iwhdxhq. What is prob of sequence qihx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 498, 495, 490, 483, 474?\n\"Answer: -f**2 + 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 77 = 53. What is the second derivative of -13*p**5 + 18*p**5 - 27*p**5 + 29*p - d*p**5 wrt p?\nAnswer: -560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.4, -1, -95, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (5 + (-1 - 7) - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 665041644?\nAnswer: 2, 3, 6157793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**4 + j**3 + 1. Let a = 39 - 40. Let k(o) = -21*o**4 + 12*o**3 + 3*o**2 + 12. Let h(f) = a*k(f) + 12*i(f). Find the third derivative of h(g) wrt g.\nAnswer: 216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 570, 1141, 1712?\nAnswer: 2283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.087  (b) 2  (c) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-798)\/189 + 1 + -1 + 4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxxhxthhhhxhhxhxhxt.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 36 - 7*t - 97*t**4 - 7*t**3 - 2 + 3*t**4. Let n(u) = -47*u**4 - 3*u**3 - 3*u + 17. Let d(o) = -3*b(o) + 7*n(o). Differentiate d(p) with respect to p.\nAnswer: -188*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -4382, -8680, -12978?\n\"Answer: -4298*c - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, 244, -2 in descending order.\nAnswer: 244, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 0 - o + 3 - 4*o + 0*o**2 + o**2. Let k(t) = 3 - 9 + 13*t - 3 - 9*t. Let r be k(3). What is d(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001974 rounded to five dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6254 - 5?\nAnswer: 6246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3344 and 6600.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 228, 140, -12, -234, -532, -912?\n\"Answer: -f**3 - 26*f**2 - 3*f + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qvyvvyvqyvyyyqv. What is prob of picking 3 v and 1 y?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -26 + 44. Suppose -105 = 2*m - 5*m. Suppose -37 = -4*b + m. What is the lowest common multiple of b and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25159.314 months in years?\nAnswer: 2096.6095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 4*c - 1066, -4*c - 3*a + 647 + 415 = 0. Let w = c - 195. What is the remainder when w is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -210*q**3 - 789*q**2 - 1633*q**2 - 1485*q**2.\nAnswer: -210*q**3 - 3907*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -335*f + 101*f - 232*f = 13980 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 9 - -112995?\nAnswer: 1129a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -8*m**2 - 487*m + 572. Determine k(-62).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 31, 1\/20, 3\/4?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v + 2*a + 138, 2*v + 3*a + 67 = 14. Let r = v - -42. What is the remainder when r is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 413, 3330, 11233, 26612, 51957, 89758, 142505, 212688?\n\"Answer: 415*s**3 + 3*s**2 + 3*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -760669 + 176967 = -173*l. List the prime factors of l.\nAnswer: 2, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2057)*2 - (sqrt(17) - (-2*sqrt(17) + -2))) + 2*((sqrt(136)\/sqrt(8) + -4)*2)**2)*-1.\nAnswer: -262 + 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -275494*a**2 + 1057031*a wrt a?\nAnswer: -550988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 254609789 + 42927759. Let y = v + -297537560.0000013. Let b = -12 - y. What is b rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000429848 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16 + -11. Let o = 9.46 + -7.46. What is the closest to o in y, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-160 - q**3 + 66825*q - 66825*q)*(-4*q**2 - 4*q**2 + 5*q**2)*(4 - 3 + 1).\nAnswer: 6*q**5 + 960*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1273726281.\nAnswer: 3, 4889, 86843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 4, -2, -6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 1 - 2)*(52*j + 98*j - 39*j) to the form d*j + z and give d.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (1 + 1 + -27 + 22 - -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/7, 0.05, -0.3, -31.1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -3*a - 5, d - 3*a = 5*d + 7. Let k be 4\/22 + (-216)\/(-22). Suppose -d*x - k = -48. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*a**3\/5 + 9895938*a**2\/5 + 89063223*a\/5 + 79167288\/5 = 0. What is a?\nAnswer: -3298637, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 36, -77, -4.\nAnswer: -77, -4, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 + 0.05092\nAnswer: -0.24908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*i + 283*i = 812 - 4676 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from czscczszcc. Give prob of sequence zs.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u**3 - 72*u**2 - 516*u + 1288 = 0. Calculate u.\nAnswer: -7, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -571020 divided by 190340?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 47051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -343 or 716213?\nAnswer: -343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 144 is divided by 63?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1861.7 - 1862.1. Let t = -81.74 + 0.74. Which is the smallest value?  (a) 2  (b) t  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of 6*h + 0*h**3 - 1\/10*h**6 - 1\/2*h**4 + 0*h**2 - 9\/20*h**5 + 0. Factor c(d).\nAnswer: -3*d**2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the third derivative of b**6\/540 - b**5\/135 + 26*b**2. Suppose m(t) = 0. What is t?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 640*l - 635*l + r = -35, -3*l - 23 = r for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 77 - -146. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - d - 3*d = 9, -4*d - 16 = -4*q. Let j be 10\/6 - q\/(-3). Let s = 6891 - 6886. Solve s*n + 15 = j*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b*(b**4\/b)\/b*b)\/(b**(-4)*b*b))\/(b\/(b**12\/b)*b**0) assuming b is positive.\nAnswer: b**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -123 + (-25 - -1 - (248 - 269)).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-13088)\/24*(-135)\/36?\nAnswer: 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m - 2 + 14*m + 2.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (45\/(-10))\/9*-68. Let l(n) = a*n**2 - 15*n**2 - 45*n + 84*n - 40*n. Determine l(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*(r*r**(10\/3)\/r*r)\/r*r*r)\/r)**(-28) assuming r is positive.\nAnswer: r**(-448\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2267 times -7\nAnswer: 15869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-5) + 106\/10*-94. Is -1 - (z\/5 + 4\/(-5)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2752.374 millennia to months.\nAnswer: 33028488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6779 by -10.\nAnswer: 6779\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 2*q + 64. Give n(-14).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -15, -47, -99, -183, -311, -495, -747, -1079?\n\"Answer: -2*p**3 + 2*p**2 - 24*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1195124116 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the first derivative of 64*r**2 - 56. Let g(z) = z. Give g(j(o)).\nAnswer: 128*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 970467.62 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -271*p + 110*p + 123 - 106.\nAnswer: -161*p + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 44.8 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2233 - -2233.5529. What is j rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3 + 9*f**2 + 3*f - 9. Let o be k(-5). Let j = o + -73. Solve 2 = j*u - 2*b + 4, 14 = -3*u - 4*b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1192 and 148757428?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12497, 50098, 112763, 200492, 313285, 451142, 614063?\nAnswer: 802048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3619 and 9?\nAnswer: 32571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are -504\/607 and -0.006 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 52585311 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 33738601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 186.44 - 186.04. Let d = 20 - 144\/7. What is the second biggest value in m, -2, 1, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {j: 8, e: 4, n: 2}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -2966, -12511, -28604, -51245, -80434, -116171, -158456?\n\"Answer: -3274*c**2 + 277*c + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -517*-4\nAnswer: 2068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 74460 and 551004?\nAnswer: 2755020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6699651 or -6699644?\nAnswer: -6699644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-7 + 675\/99)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(156) - (sqrt(156) - sqrt(156)*-2)*1) + sqrt(156))\/sqrt(12).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2*(-3)\/(-6) - -50. Suppose 17*k - o = 17. Solve -x - k = -0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-61)\/(366000\/540) + 7\/28?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -1, -261 + 3421 = 5*a - 5*m. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 2*o + 6, t = 3*t - 3*o - 16. Let p = t - -20. Let n be 0\/p - (-2)\/4. Which is the nearest to n?  (a) 6  (b) 1\/6  (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -2*a + v, -2*a - 3*v + 28 = v. Let s be -11 + a - (-2 - 0). Find the third derivative of -6*h**s - 2*h + 5*h - 3*h - 8*h**2 wrt h.\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 27*o**2 + 28*o**3 - 27*o**2 + (-4 + 0 + 3)*(-o**3 + 1 - 1) + 2*o**3 - o + o in the form z*o + a + m*o**3 + r*o**2 and give m.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + w + 12 + 36 = 0, -2*u - 4*w + 6 = 0. Suppose -v + 30 = -i, -3*i = v - 13 - u. Let j = v + -2. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the third derivative of -g**6\/12 + g**4\/8 + g**2. Find the second derivative of m(j) wrt j.\nAnswer: -60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/3, 1.0199, -22, 2, -2, 24?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 101686 by 26.\nAnswer: 3911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 + 51*t**2 - 481*t - 182. Calculate c(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of 4*y**5\/5 + 61*y**4 + 159*y**3 + 148*y**2 + 59*y + 9002. Find u, given that i(u) = 0.\nAnswer: -59, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15486, -15503, -15528, -15561, -15602, -15651?\nAnswer: -15708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35 is divided by (-1)\/(-4) - (-213)\/12.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-38)\/190 - (44\/10)\/(-2). Let q(a) = 15*a**3 - 4*a**2 + 3*a + 1. List the prime factors of q(i).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f + 4326 - 10484 + 4586)*(-3*f + f + 11*f - 3*f + 2*f + 2*f + f - 1 + 1 + (4 - 3 - 3)*(2*f - 2*f + 2*f) + f - 4*f + 4*f - 2*f - 2*f + 3*f).\nAnswer: 7*f**2 - 11004*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b - b - b)*(6*b - 6*b - 2*b**2) - 3*b**3 + 2*b**3 + 3*b**3 + 36*b**2 + b - 36*b**2 - 7*b**3.\nAnswer: -b**3 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -52  (b) 5\/2  (c) 0  (d) 2943  (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 6\/720*136 - (-4)\/(-5)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00040615 to 6 dps.\nAnswer: -0.000406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -226*a + 228*a = -5*m + 1175, 0 = a - 3*m - 604. Which is smaller: a or 577?\nAnswer: 577","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) 2  (c) 90  (d) 0  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**3 - 6*g**2 + 2*g + 3. Is t(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iiww when four letters picked without replacement from iwiiiiwiiiiiiwi?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(112) + (sqrt(112) + 1*sqrt(112))*6)**2.\nAnswer: -104*sqrt(7) + 18929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 420221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*l + 65*l - 6 = 0. Suppose -4*u + l*o = -2*o - 1024, -1256 = -5*u - 3*o. List the prime factors of u.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1901*c - 93726 - 176983 = 1705*c - 14683 for c.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**2 - 5*r - 9. Let g(h) = -4 + h + 0*h - 3*h. Let q(v) be the first derivative of v**2 + 26*v + 15. Let y be q(-14). Determine y*p(c) + 5*g(c).\nAnswer: -2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -52 + 5?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/33 and 2\/27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -18, -5, -4, -13 in descending order.\nAnswer: -4, -5, -13, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 + t**2 + t. Let w be f(0). Suppose -3*m = -8 + 5. Solve w*g - m = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100101100011100 (base 2) to base 5.\nAnswer: -1103403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y + 8. Let g be f(6). Let l = g - 2. Let d(i) = l*i - i - i. Let t(o) = -2*o**2. Determine t(d(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81364.\nAnswer: 2, 20341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 - (36246\/(-2555) - -4*1\/20)?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 + 12 - (1 - 0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*-9*6\/(-18) - 3. Suppose d + 3*k = 28 - 24, v = 2*k. Factor 3\/4*z**3 + 0*z - 1\/4*z**d - 1\/2*z**2 + 0.\nAnswer: -z**2*(z - 2)*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1940625 is divided by 354.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 92*t**4 + 3564*t**3 + 5964*t**2 + 1604*t - 888 = 0. What is t?\nAnswer: -37, -1, 6\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -30*h**3 - h**2 - 2*h - 1. What is v(-1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 2*t**2 + t - 2. Let j be l(-2). Let p(b) = 0*b + b - 1 + j. Calculate p(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 25 = 3*x. Let j = x + -12. Let b(p) = -p**2 - 8*p - 3. Let v be b(j). Solve 2*l - l - 4*u + 11 = 0, -v*l + u = -16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -191 - -85. Let y = p + 62. Is 2442\/y*(-4)\/6 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -5*q + 34, 2*r - 10 = q - 2*r. Calculate the remainder when 7 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 2*o - m, -o - 5*m + 2 = -2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*s - s + 2*s + (-2*s - 2*s + 9*s)*(-15 + 11 + 10).\nAnswer: 31*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 3:15 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - d = -84. Suppose -t + 3*i = -57, 5*t - 307*i + 302*i - 255 = 0. What is the greatest common factor of t and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 439581 and -4.\nAnswer: 439577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.02 times 62152?\nAnswer: -63395.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 678879 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - 287?\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + -11 - -12 - 18 - (-5 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the second derivative of -5*b**7\/21 - 8*b**6\/15 - b**5\/10 + b**4\/3 + 6*b. Determine j so that z(j) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/6*(750\/(-20) - -3). Suppose 576 = 24*m - g*m. What is m rounded to the nearest ten?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4016*r**2 + 191*r**3 + 5013*r**2 - 997*r**2.\nAnswer: 191*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 - 20) + 8 + 90 + 7 - -9.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a + 5*a + 15 = 0, 4*a = 2*z + 12. Let i be (z\/13)\/(4\/50) + -4. Let y = 2.05 - 0.05. What is the nearest to y in -3, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 (base 11) in base 15?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 + -43. Let p = m + 53.6. Which is the nearest to 0?  (a) p  (b) 1  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*v**3 + 31610*v**2 + 8885215*v + 3549030 = 0.\nAnswer: -843, -421, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13\/11 - 12\/11. Suppose -4*a + 13 = 3*m, 0 = 4*a - 0*m - 3*m + 5. Which is smaller: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*f**3 - 924180*f**2 - 23725548957*f - 15816621894.\nAnswer: -3*(f + 51343)**2*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:36 PM and 12:48 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 296 and 608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:50 PM and 5:29 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (87 + 158 - 46)*(10*o + o + 10*o) + 3 - 3 - 3*o - 2 + o + 2 + (-4 + 4 - 2)*(4*o - 4*o + o) in the form n + y*o and give y.\nAnswer: 4175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 6 = -c - 23, -4*c + 3*m = 3. Solve 3*i - 3*j = -c, 4*j = -i - j + 17 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1375?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/13*j**2 + 0*j + 2\/13.\nAnswer: -2*(j - 1)*(j + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -2*j**3 - 3*j**2 + 2*j - 213. Give w(0).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**3 + 18*k**2 - k + 30. Let r be l(-18). Suppose -3*z + 7*z - r = 0. Suppose -11*g + z*g - 40 = 0. Does 20 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 28 - 29 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**5\/4 - 13*w**4\/4 + 16*w**3 - 17*w**2.\nAnswer: -w**2*(w - 2)**2*(w + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16235026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 34788741 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(315) + -6*(sqrt(315) - -1*sqrt(315)) + sqrt(315))\/sqrt(5)*-3.\nAnswer: -1 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(95)\/(sqrt(5)*2) + (sqrt(2299) + 1)**2.\nAnswer: 45*sqrt(19)\/2 + 2300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -30743 - -48723. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21.1852 + 1.6262. What is d rounded to 0 decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4477598.2 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {a: 1, e: 5, x: 1, h: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7576607189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 386*h - 127*h = -640 - 655 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -41 + -10?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 67553 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -r, 6*r + 4*f = r - 95. Let d = r + 18. Let b = 0 + d. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1350 - -a908?\nAnswer: 9578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pruurlupbrlgru. Give prob of picking 1 g, 1 p, and 2 u.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.768328 years in months?\nAnswer: 21.219936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 1391*f - 254532. Let h be 2 + 0 + -3 - 0. What is the remainder when k(183) is divided by 4\/(2*h) + 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -848 by -687.\nAnswer: 848\/687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 8) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 506*k**3 - 1500*k**3 + 505*k**3 + 500*k**3 + 2*k**2 in the form w*k**2 + j*k**3 + p + v*k and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**3 - 3*i**2 - 2*i - 4. Let w(p) = -p**2 - 9*p - 4. Let t be w(-9). Let x be r(t). Suppose -16 = -4*d + x. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -167 + 171. Suppose k*q = 0, -u + 3*u = -3*q - 4. Which is the nearest to -1?  (a) u  (b) -0.2  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (((2*sqrt(252))\/sqrt(9))\/(6*-1*sqrt(4)) - (sqrt(350)\/(sqrt(30)\/sqrt(3)))\/(sqrt(5) + -6*sqrt(15)\/sqrt(3))))**2*-1.\nAnswer: -5653\/225 + 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -140 by -140.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ibbbibikkbbiikiikks. What is prob of sequence is?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = 3*a + 15. Let o = 7 + a. Suppose 8 = -4*d + 8*d. What is the greatest common divisor of d and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + 4\/(4 + -2). Suppose -11 = -3*w - 5*i, -w - r*i = -0*i + 3. Solve -5*m = -2*s + w + 7, 3*s + 9 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 equal to -27\/34865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4656*u = 8220 + 42996 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*i + 15*i - 2 - 13*i)*(4 - 3 + 1)*(i + 0*i - 3*i + 3*i - 4*i + 0*i + (-6 + 2 + 2)*(-i + 0*i + 2*i)).\nAnswer: 110*i**2 + 20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 16163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r**5 - r**5 + 2*r**5)*(0 - 1 + 5) + (-4*r**5 + 2*r**5 + 4*r**5)*(0 + 0 + 1).\nAnswer: 6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -r + 2*r, 4*p - 11 = 5*r. Let l be (8\/(-48))\/((-4)\/(-6)). Is l < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.317 - -0.204. What is the biggest value in t, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5*(24\/(-5))\/3. Let c be 2 + -2 + (-4)\/a. Let s = 7 + -2. Put c, s, -4 in decreasing order.\nAnswer: s, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*k**5 + 0 + 0 + k**5 + 4*k**2 - 4*k**2 + (0*k**2 - 2*k**3 + 0*k**2)*(-k**2 + 0*k**2 - k**2) + 4*k**5 - 14*k**5 - 12*k**5 - 4*k**5 + 4*k**5 + k**5.\nAnswer: -13*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11976 + 11976.0024925. Round g to four dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**2 - 3*w - 2. Let r(s) = -4*s**2 - 12*s - 8. Let t(m) = -m + 4. Let j be t(2). Let d(n) = j*r(n) - 9*v(n). Factor d(b).\nAnswer: (b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24601 is divided by 169?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4357.\nAnswer: 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 3*g - 2*g + 5 + 0*g - 2. Let c be x(0). Suppose f - c*f + 8 = 0. What is the smallest common multiple of f and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-102)\/3)\/(34\/221*-13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57933*s**3 + s - s - 13250*s**3 - 22093*s**3.\nAnswer: -93276*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vddtdtvtttvttttdttv. What is prob of picking 2 t and 1 d?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 37797886642 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + k)*(-3 + k**3 + 2 - 1 - 3*k**4).\nAnswer: -3*k**5 + k**4 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.18 + -13.18. Let u = -2 + 4. What is the third smallest value in y, 3\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 98 - 1078804?\nAnswer: -1078739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 23*k**3*x**3 + 269*k**3*x**2 + 7*k**2*x**3 - 9 wrt k.\nAnswer: 138*x**3 + 1614*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**2 - 21*o - 34. Give b(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*r + 91 = -30*r. Let w(t) = t**2 - 6*t - 86. Let j be w(r). Let y(g) = -g**2 + 2*g + 6. What is y(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-34)\/3*-30*(-3 - -2). Let p = x + 169. What is the hundreds digit of p\/(-21)*2*7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 5 + 11, -5*n = -3*t - 87. Suppose n = -5*j + 5*k, 2 - 3 = -k. Is -8\/7 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 2*t + 5100. Let o(r) = 4*r**2. What is s(o(i))?\nAnswer: 8*i**2 + 5100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 372183035 and 9285?\nAnswer: 3095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 24186707 < 24186708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*f**2 - 3*f**2 + 0*f**2 + (1 - 2*f - 1)*(0*f - 2*f + f) + 275*f**2 - 43*f**2 - 2 + 1 to the form n*f**2 + i*f + k and give n.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2684197\/96 or -27959?\nAnswer: -2684197\/96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 25168 and 236912?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2629 a factor of 535995262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-3 + sqrt(13)*2) - sqrt(39)\/(sqrt(3) - 2*sqrt(12)\/sqrt(4)).\nAnswer: -9 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 6*c**2 + 2. Let i(m) = -m**2 + 2*m**2 + 34*m + m**2 + 37. Let v be i(-16). Let s = -8 + 0. Let l(y) = 4*y**2 + 1. What is s*l(g) + v*n(g)?\nAnswer: -2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1128214 - -1128325.9882. Let o = 112 - t. What is o rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19984*n**2 - 15*n**3 - 9985*n**2 - 9999*n**2.\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.7907 in 2480, 1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from woornnrjnnnononnonnn. What is prob of picking 2 n and 1 j?\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*i = 69*i - 130. Let a be (0 + 10)*1 + (i - 134). Calculate the greatest common divisor of 78 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n + 2*n - 11*n)*(3 + 4*n - 3) + n**2 + 0*n**2 + 2*n**2 - 4*n**2 - 2*n**2 + 4*n**2.\nAnswer: -19*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (8\/(-10))\/((-2)\/(-5)). Let q be 1 + v - 10\/(-2). Suppose -2*g - 2 = 0, q*g - g = -2*x + 175. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bear when four letters picked without replacement from {w: 2, r: 2, e: 1, a: 12, b: 1}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -711360, -2845053, -6401200, -11379795, -17780832, -25604305, -34850208?\nAnswer: -45518535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -16*g + 4. Let u(c) = -16*c + 3. Let j be (-2*13\/104)\/((-1)\/12). Determine j*k(z) - 4*u(z).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 4*g + 10 = 0, -4*l + 7*l - 25 = -2*g. Suppose -12 = -l*o + 2*o. Let q(n) = -n + 5. Let c be q(6). Sort -2, c, o in increasing order.\nAnswer: -2, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 12 = -2*x, 4*r - 9*r = -4*x + 22. Let u(g) = g**x + 9 + 0 + 8*g**2 - 19*g + 20*g. Is u(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11 + 6 - 788*f**2 + 501*f**2 - 56*f - 955*f**2 - 122*f**2 wrt f?\nAnswer: -2728","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -5 + 3 + (-1 - -1). Let a(g) = -6*g**4 - 9*g**2 - 3. Let d(w) = -w**4 - w**2. Let t(y) = i*a(y) + 18*d(y). Differentiate t(l) with respect to l.\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-169)\/(-9) + 6\/27. Let j = -15 + a. Calculate the remainder when 6 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*w**3 - 5*w**4 + 3*w**3 + w**4 + 0*w**4 + 0*w**4 + w**2 - w**2 + w**4 + (-2*w**3 - w + w)*(-w - 2*w + w) - 2*w**4 + w**3 - w**3 - 5*w**4 - 21 + 21.\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-16)*j**10\/j*j**15\/j**(2\/37) assuming j is positive.\nAnswer: j**(294\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -714\/37 less than or equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1497 - 1497 + 2*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1090 or -250867\/230?\nAnswer: -250867\/230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes after 10:42 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 less than -0.69351?\nAnswer: 1.30649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes after 9:07 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 5  (b) 2\/3  (c) -0.1  (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -454700 to the nearest 10000.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -1078100 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 2  (b) -32  (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 4*l. Let a(r) = -250*r**2 + 24. Let f(x) = -375*x**2 + 34. Let o(w) = 10*a(w) - 7*f(w). Give o(d(i)).\nAnswer: 2000*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 28, 51, 64, 55, 12?\n\"Answer: -2*o**3 + 7*o**2 + 16*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3337946355 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -64, -62, -60, -58, -56, -54?\n\"Answer: 2*g - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27 is divided by (-2)\/(-4) + 234\/36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 equal to -1675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 37959*v**3 - 5*v - 251891 wrt v?\nAnswer: 113877*v**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1394575 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) 144180  (c) -0.0441\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9702 and 6468?\nAnswer: 19404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 - 4. Let b = -42 + -460. Let f = -559 - b. Which is bigger: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bnhddbbdgnbdlgd. What is prob of sequence dl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 - (4 + 6 + -56). Suppose 313*d - 309*d = f. Solve 3*y + y = d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.078369991350623 take away 0.4?\nAnswer: -0.478369991350623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15*a**2*k**3*o - 173*a**2*k**3 + 19*a**2*k**2*o - a*k**2*o*v + 37*a*k*o + 2*k**3*o*v + 2*k**2*v wrt k.\nAnswer: 90*a**2*o - 1038*a**2 + 12*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from avvvvavvvaavavvvaafv. Give prob of picking 1 v and 1 f.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3858, -3857, -3856, -3855, -3854?\nAnswer: -3853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(1452) + sqrt(1452) + sqrt(1452) + sqrt(1452) + 3*sqrt(1452)*-4 + sqrt(1452))\/(5*-2*sqrt(4) - sqrt(324)*-1).\nAnswer: 5 + 77*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -33ba73 (base 15) in base 16?\nAnswer: -25ae6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q**3 + 28*q**2 - 2219*q - 6882 = 0. Calculate q.\nAnswer: -62, -3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 106 + -74. Suppose 43 = 2*g + 11. Calculate the greatest common divisor of m and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3943*f + 1899*f + 1824*f)*(-1 + 0 + 0)*(-3 + 4*f + 3) as q*f**2 + k*f + a and give q.\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 7557322 to the power of 1\/3, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k - 1. Let z be m(-6). Suppose 2*i - h = -i + 33, -3*i = z*h - 33. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 59155078?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**3 + 8*r**2 + r - 7. Let j be n(8). Let s = -2.02 - -0.02. What is the closest to 1 in 4\/7, j, s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 + 85*t**2 + 355*t - 2698. Give g(4).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in fifteen quarters of a millisecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21021 + 1202222000?\nAnswer: 1202200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 25 - 13. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b - 5 = 4*r, -8 = 4*r - 0*r - 4*b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -8*w - 4. Let k be o(-1). Suppose 2*x = 2, 3*h = 2*h + 4*x - 4. Suppose j - 3 + h = 0. Solve 0 = 3*u + 2*u + j*l - 16, k*u = -4*l + 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 158.65 and 3.\nAnswer: 475.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 5*t - 151 = 0, -2*t - 5 = -3. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*a*n**2 - 2*a - 273*n**2 + 370*n wrt n.\nAnswer: -4*a - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1555343 is divided by 8689.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 2 - 5 = -g, -5*g + 29 = 2*k. Suppose k*d - 6*d + 244 = 0. Round d to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -17*f**2 - 6*f + 7. Let v be i(4). Let z = v + 425. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p**4\/3 + 8*p**3\/3 + 10*p**2\/3 + 4*p\/3 = 0. What is p?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 16d + 15?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 31288895 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n + 66*u + 203 = 3*n - 109*u, -3*n - n = 7*u + 119 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16 + -13. Suppose 0 = x*i + 5*v - 14, -i + 6*i + v = 38. Let d = i + -4. Solve -4*p = -2*a - 2*a + 16, -3*a - d = 5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 - -1 - -1)*-8. Let a = z - -22. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7280, -7282, -7284, -7286, -7288?\nAnswer: -7290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 365 + 63?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and 210497.3.\nAnswer: 84198.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22*t + 30*t + 10*t)*(4 + t - 4 + (2 - 5 + 4)*(-2*t + 3*t + 2*t)).\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in -4, -1, 1, -32616, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5328371 - 5328371 - 432*p**3 + 740*p**3.\nAnswer: 308*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 164, 458, 874, 1400, 2024, 2734?\n\"Answer: -2*y**3 + 73*y**2 + 89*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the second derivative of -q**5\/80 + q**4\/12 + 9*q**3\/8 - 45*q**2\/4 + 28*q. Determine s, given that a(s) = 0.\nAnswer: -5, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the third derivative of s**5\/10 + 2*s**3\/3 + 5*s**2. Let p be h(3). Let c = p - 39. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the first derivative of 2*m**3 - 5*m + 30. Let a(u) = -13*u**2 + 14. Let q(f) = -4*a(f) - 11*d(f). Give q(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the third derivative of 2*d**6\/15 - 2*d**5\/5 + 3*d**4\/8 - d**3\/6 - d**2. Factor v(f).\nAnswer: (f - 1)*(4*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 69, 100, 147, 216, 313, 444, 615?\nAnswer: 832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2062)\/1211 + 1 + 1. Let f = q + -2\/173. Let u = 4 - 1. Sort 2, u, f in decreasing order.\nAnswer: u, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -914 (base 16) to base 15.\nAnswer: -a4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-three sixths of a millennium in months?\nAnswer: 46000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1995484495 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -10747906, -21495810, -32243714, -42991618, -53739522?\n\"Answer: -10747904*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 112 - 535 = 0. Calculate the remainder when g is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37 = -35*q - 177 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 13984*b - 7302*b - 3 - 2*b**3 - 6675*b + b**3. Let g(h) = -3*h + 2. Let a = -11 - -4. Determine a*g(x) - 3*u(x).\nAnswer: 3*x**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 2*o + 0 = 4, 5*b + 5*o = 40. Suppose j - 2*h = -0*j + 249, -b*j = 4*h - 767. Does 23 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -192 + -0.03?\nAnswer: -192.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 466 is divided by 61?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 - 12\/(-32) - -2. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 848?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 243\/(-42)*(104\/1092)\/((-1)\/(-14)) + 5\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 16*h + 28 + h**2 + 29 - 3. Let d be t(-12). Solve -u + 4*p = 19, -u - 15 = -d*u - 2*p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**12\/j*j)\/j**(2\/7))\/(j*((j*j**(-1))\/j)\/j*j**(3\/8)\/j))**(-1\/8) assuming j is positive.\nAnswer: j**(-747\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(-10) - 99\/(-15). Let i be l\/15 + (-54)\/10. Let w(s) = -33*s + 249. Let u(x) = -3*x + 24. Let j(k) = 21*u(k) - 2*w(k). Give j(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-4 - 0)\/2)\/4*-4. Suppose n*x = t, t + t - x - 9 = 0. Suppose -t*o - 698 = -2*j - 2*o, -2*j = -5*o - 696. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -21.613495 to 2 decimal places.\nAnswer: -21.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 190\/6 + -3 - -3. Let l = k - 32. Suppose 5*g - 5 = 0, -2 = -2*x + 2*g - 14. What is the biggest value in x, 0.6, l?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iww when three letters picked without replacement from iwww?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -95203132, -95203131, -95203130, -95203129, -95203128?\nAnswer: -95203127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 3*s = 1352, v = -s - s - 260. What is the common denominator of (-3)\/(-4) - v\/(-24) and 71\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 3445*k = 3426*k + 10, -4*a = -5*k + 17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 119 = -4*f, -4*x + 33 + 59 = 2*f. Suppose -f*p + 29*p + 14 = 0. Which is the second biggest value?  (a) 0.1  (b) p  (c) -0.1  (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*m**2\/13 + 18*m\/13 - 28\/13 = 0. What is m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes before 3:56 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -c**5 + 871*c**3 + 1730*c**2.\nAnswer: -60*c**2 + 5226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {s: 7, y: 2, m: 1, r: 5, b: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 46 + -20. Suppose k - 36 = 5*i, 2*i - w = -3*k - 3. Calculate the highest common factor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - q, -8 = h + 4*q + 7. Suppose h*g = g + 88. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 2*h - 15 = 0, -2*h - 121 = l - 108 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 - 1)*(3*f - 5*f + f)*(0 - 4 + 2)*(-1436 - 1047 + 410) to u*f + v and give u.\nAnswer: 4146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 110 + -456?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.06 and 334420656.\nAnswer: 334420656.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 22041*b*n**2 - 201*b*n + 44294957*b wrt n.\nAnswer: 44082*b*n - 201*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (22 - 29 - -46) + 31 + -4.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n - 3 = 2*y, 87*y = 82*y - 4*n - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 93629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*v + 35 = -14*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y - 1. Let z(x) = -6*x + 8. Let s = 203 - 192. Let u = s + -16. Calculate u*w(f) - z(f).\nAnswer: f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 5*q**5 - 240*q**4 - 31020*q**3 + 1059760*q**2 + 36657600*q + 239904000 = 0?\nAnswer: -68, -12, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 27\/(-6)*(-9)\/((-108)\/(-16)). Find the common denominator of (-915)\/10*-1*c\/(-144) and -29\/750.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47766028.\nAnswer: 2, 1381, 8647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 y when three letters picked without replacement from uvvyyuuwvywuvvazvvuv.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 8*q + x + 17 = 0, -5*x + 20 = q. Let p be ((-30)\/(-9))\/q - (-16)\/(-168). Which is the smallest value?  (a) p  (b) 9\/2  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0459 + 137.686?\nAnswer: 137.7319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -354731 divided by 6.\nAnswer: -354731\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 + t. Let i be j(-1). Solve 0 = 4*u + 2*c + 8, u = 3*c - i - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, d: 5, a: 1, i: 1, l: 4}. What is prob of picking 2 n, 1 a, and 1 i?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1551 + -1549. Solve k*f = f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 78*o + 672*o**2 + 91*o - 169*o.\nAnswer: 672*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(33)\/(-1*3*sqrt(3)) - (-2 + sqrt(99) + 5)**2.\nAnswer: -108 - 55*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = 4*y - 18, 137*j - 139*j - y - y + 10 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -54.77 - -55. Let k = -0.03 + w. Let g = k - 0.3. What is the closest to g in 4, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -21 at least as big as -26054\/1265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) -1  (b) -3117  (c) -0.5  (d) -2\/7  (e) -26  (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and -34.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 3*t - 5*s, -24*s + 21*s = -6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**2 + z + 1. Let t be 4\/18 - (-60)\/(-27). Let c be k(t). Suppose -5*i + 3*w = -2*w - 5, -24 = -c*i - 4*w. Let a(q) = q**2 - 5*q + 4. Determine a(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 2 + 16 + -26 + 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/63*231\/330.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-360)\/924)\/(1435\/6314).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-507)\/(-22)*(-12)\/(-36) + (-36)\/198?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 0.08  (b) 1  (c) 5  (d) -1  (e) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -9*f + 45654. Let c = -121789\/16 + f. Find the common denominator of c and -55\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4.02 in 2\/3, -3.2, -5?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-80)\/(-12))\/5 + (7 - 9). Put g, 0.3, -4, 0.047 in descending order.\nAnswer: 0.3, 0.047, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 159.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -163.3 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 452.1605l in millilitres?\nAnswer: 452160.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-2)\/(-3)*3)\/(-2). Let z(f) = 0 - 23*f**3 + 16*f**3 + 6 - 6*f**2. Let p(s) = s**3 + s**2 - 1. Determine k*z(l) - 6*p(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*g*s*t**2 + g*t**3 + 23*g*t**2 + 143*s*t**3 - 3*s*t - 6*t**3 with respect to s.\nAnswer: -2*g*t**2 + 143*t**3 - 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.597, -1\/4, 27?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 4*x**3 - x**2 - 6*x - 5. Let j(s) = 5*s**3 - 7*s - 4. Let h(o) = 3*j(o) - 4*k(o). Let l be h(5). Put 0, l, 5 in descending order.\nAnswer: 5, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1610919\/8 + 201370. What is the common denominator of 2 + 143\/84 + -2 and m?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -2*h**2 - 2*h + 16. Let t(u) = u**2 - 9*u - 13. Let r be t(10). Let j be (-7 - -1) + 3 - r. Calculate the remainder when 63 is divided by q(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 + -20 + (-1 - (-2 + -3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -33 + 39. Suppose -x*k = -37 - 95. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 42317, 84632, 126947?\nAnswer: 169262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -7*l**2 - l. Let r(u) = -5*u**2. What is d(r(c))?\nAnswer: -175*c**4 + 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 3067, 3068, 3069, 3070?\n\"Answer: l + 3066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -10167013 + -7?\nAnswer: -10167022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**2 + 5*i + 4. Let p be f(5). Solve -3*t = -p*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 3424124 and 3424371 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x = 5*x + 55. Let k(j) = -j**2 + 3. Let d(n) = -n**2 + 4. Give x*d(r) + 7*k(r).\nAnswer: -2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 + -424?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 23*d**3 - 9*d**2 + 0 - 30*d**3 + 10*d**3 to l + i*d + r*d**2 + w*d**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0 + 2 - 4)*(5*a - 5*a - 2*a) - 4*a + 0*a + 3*a)*(-2 - a**2 + 2) in the form l*a**3 + c*a**2 + u + p*a and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y - 42 = 4*d, -2*y - 2*d - 20 = -0*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -117 + 113. Let q(k) = -7*k + 6. Let y(l) = -51*l + 51. Let c(r) = 5*r - 5. Let v(x) = 21*c(x) + 2*y(x). Calculate u*q(p) - 9*v(p).\nAnswer: p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 667293339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*l + l = 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(20\/12) + 6 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -5*g - 9. Let t be p(-4). Solve t = -3*o - n, 0*n + 25 = -5*n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 104*q**2 + 147*q + 552. Determine h(-4).\nAnswer: 1628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 2*s**2\/5 + 2792*s\/5 + 974408\/5 = 0.\nAnswer: -698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.0044 from -4.8.\nAnswer: -4.8044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**5\/4 - 423*n**4 + 238994*n**3 - 90654823*n**2\/2 + 537262455*n\/4 - 178453547\/2.\nAnswer: (n - 563)**3*(n - 2)*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 110337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 4*t - 75. Let y = -13 + t. Sort -2, y, -0.1 in decreasing order.\nAnswer: y, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v**4 + 1424*v**3 - 9902*v**2 - 24080*v - 12753 = 0. Calculate v.\nAnswer: -1, 9, 1417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -45 (base 7) in base 14?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61 - 256 = -118*d + 273 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/494 and 4 + (-398)\/104 + (-3)\/(-12)?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7884\/1971*((-6)\/(-4))\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3035 + 3025. Sort 2\/5, -2, 0.23, l, -0.4 in increasing order.\nAnswer: l, -2, -0.4, 0.23, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5750 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 41*o - 19. Let i(u) = -37*u + 19. Give -7*i(r) - 6*p(r).\nAnswer: 13*r - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 316918, 316884, 316808, 316666, 316434, 316088?\nAnswer: 315604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 146 is divided by (1485\/(-45))\/(14\/(-4) + 2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.4 + -0.6. Let q = -3148 - -3145. Which is the third biggest value?  (a) i  (b) q  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3872947 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2 + 4*n - 138. Let t be f(11). Let u be t + 8\/6*-3. Solve 4*w = -5*d - 21 - 19, 2*d = -3*w - u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-18 - (1 + -21)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m. Let y(o) be the first derivative of -o**4\/24 - 3*o**2\/2 + 3. Let n(c) be the second derivative of y(c). Determine g(n(r)).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 352966 is divided by 1405?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -30 - -45. Let a = 7 + r. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -3*g**2 + 162*g - 312 = 0.\nAnswer: 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*w + 5*a - 10 - 17, 24 = w + 5*a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b + 20 - 60 = -5*z, -4*z = -3*b - 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t**4\/9 - 72*t**3 + 7980*t**2 - 323400*t + 2315250 = 0. Calculate t.\nAnswer: 9, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**2. Let i(k) = -26 - 23 + 44 - k. Suppose -4*x - 2*g + 9 = -3, 0 = -4*x - 3*g + 10. Let r(m) = 4. Let p(l) = x*i(l) + 5*r(l). Determine n(p(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 6*d**2 - d - 2. Calculate the least common multiple of l(-1) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/z**(6\/7))**(-37)\/(z**(4\/3))**(14\/5) assuming z is positive.\nAnswer: z**(-4832\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 671\/501 + -1\/167. What is the closest to 0.1 in -8\/5, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**2 + i - 1. Let n be p(2). Let x(r) be the first derivative of r**3\/3 + 3*r**2\/2 + 3*r + 14107. Determine x(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1564 is divided by 1184.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of 5*s**4\/4 + 18*s**2 + 5*s - 1. Find the first derivative of g(c) wrt c.\nAnswer: 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35966 divided by -6.\nAnswer: 17983\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve d = 4*i + 17, 3*i + 21 + 0 = 3*d + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1990 (base 10) in base 12?\nAnswer: 119a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2354 + 373 = -92*v - 85 + 1232 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w**3 + 0*w**3 - w**3)*(43*w - 26*w - 7*w + 62*w + 42*w) - 29*w**4 + 233*w - 233*w.\nAnswer: 199*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -205 = -5*p - 5*l, 0*l + 131 = 3*p - l. Suppose 4*z = p - 3. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 2*t**2 - 3. Let h(f) = f**2 + 6*f - 3. Let y be h(-6). Suppose 0 + 4 = -4*s. Let b(n) = -n**2 + 1. Give s*u(p) + y*b(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-237 - -222)*(3 - 234\/80)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (128808 + 1133*g**3 - 128808)*(-2*g + 2*g + 2*g) to the form v*g**4 + j*g + m*g**3 + w + r*g**2 and give v.\nAnswer: 2266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 12*o + 0*o - o + 6. Is i(14) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 40 - 40. Let y = 6 + -1. Suppose i = -y*l - 20, -24 = -2*o - 4*l - 0. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - 4*z - 64. Let a = z - -116. Calculate the greatest common divisor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + 1. Let k(a) = 2*a - 3. Let f be k(q). Is 1*(33 + -1 + f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 38 or -385\/2?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -24 - -40. Suppose 3*i = 4*q + 2, 3*q - 2*q - 11 = -5*i. Calculate the remainder when f is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 2*p**2 - 62*p - 38. Suppose 3*g = 4*m - 85, 0 = -4*m + g + g + 82. Calculate the remainder when r(33) is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, b: 6, p: 5, j: 2, c: 1}. Give prob of picking 1 j and 1 q.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 4.81759 nanograms?\nAnswer: 0.00000000000000481759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 3 = 0, -2 = 5*z + c + c. Let o = 2 + z. Let k = 5 - o. Solve 0*x = 2*x + 10, -k*i - x = -1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**8)**20*(t**1)**6 assuming t is positive.\nAnswer: t**166","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.040806432 to three dps.\nAnswer: -2.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**2 + 7*z - 2. Let m(l) = -4*l + 1. Let t(k) = -5*m(k) - 3*y(k). Give t(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in seven halves of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 2*q**2 + 7*q - 5. Let b be d(-4). Let x be -1*15*4\/370. Is x less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -149451 + 581230. Is b 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 1:31 PM and 12:31 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 8*b - 13*b - 665 = 0, -4*b + 260 = 2*x. Does 33 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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 next in 1312322, 2624930, 3937538, 5250146?\nAnswer: 6562754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -17362 < -295156\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 219*o + 1. Let a(m) = -10*m**2 + 64*m + 16. Let v(s) = -3*s**2 + 20*s + 5. Let l(t) = -5*a(t) + 16*v(t). Give n(l(x)).\nAnswer: 438*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**2 + 237*l + 2467. Calculate z(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.085 - 2349493.4.\nAnswer: -2349493.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 65\/357 + -2\/51. Let i be ((-16)\/(-12))\/(2\/(-222)). Let f = i - -1040\/7. Which is the biggest value?  (a) 0.1  (b) f  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 - 11 = 3*u. What is the smallest value in 6\/7, u, 4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -448*n - 293*n**2 + 448*n.\nAnswer: -293*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of 269.4365 and 5.605.\nAnswer: 275.0415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 721.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w + 19. Let z be d(-9). Let o be ((-8)\/z)\/((-14)\/(-175)). Let p = 45 - o. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3444 a factor of 1598962865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -11 > -0.559153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 630424787 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 1 + 2)*(2 + 2 - 6)*(-5 + 5 - 4*i) + (3*i - 2*i - 2*i)*(-1 - 4 - 18) to q*i + w and give q.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 127\/13182 and -109\/81042.\nAnswer: 13696098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a hour in minutes?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/3 + (-16)\/(-3). Suppose 4*f + v + 1 = i, 2*f + 5*v = 7. Solve -5*k + 4*a - 32 + f = 0, -5*a + 14 = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes before 7:58 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 7, k: 4, g: 2}. What is prob of picking 1 r and 2 g?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 19221608 and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 580103 at least as big as 9861757\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 13.22 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 2*u + 10. Suppose 7*s + 16 = 3*s. Let b be o(s). What is the third derivative of -r**4 - 7*r**4 - 4*r**b + 14*r**2 wrt r?\nAnswer: -192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 92 and 644.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2205 and 72701055?\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7.57 + 0.07. Let u = -1.489 - 6.621. Let j = u - c. What is j rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -41513012 - -67126542836\/1617. Let b = d - 15\/539. What is the common denominator of (4 - (-125)\/(-15))\/3 and b?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 182, 145, 108, 71?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 7*g**2 + g**3 + 16*g - 55*g + 11*g + 6 + 0*g**2. Give d(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 86 divided by 145?\nAnswer: 86\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2.1 in 3\/5, -0.4, 60\/11, -5, 3.52?\nAnswer: 3.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 11070163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 2 + 8*m**2 - 11.\nAnswer: 8*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19\/35 - 2\/5. Let r = -23 - -23. Let l = 356.5 - 356. Which is the nearest to p?  (a) r  (b) l  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 41 = -39, p - 21 = -2*c. Let h = 56 + -92. Let n be h\/24*(-22)\/3. Calculate the highest common factor of c and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 173 is divided by 53?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1\/2)\/(5\/70). Suppose 6*a - p*a + 51 = 0. What is the remainder when a is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.417 rounded to 1 decimal place?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -26 - -59. Calculate the smallest common multiple of a and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -6, -6, 8, 42, 102?\n\"Answer: x**3 + x**2 - 10*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*t - 14*t = -12031171 + 3323871. Round t to the nearest one hundred thousand.\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from frkfpfurkkprkrbfff.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -132213 - -30?\nAnswer: -132123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 6*d - 11. Let z be o(-3). Let p = 31 + z. Let w(t) = -t**2 - t. Let q be w(0). Solve h + p = -q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*b**2 + 2075*b + 10794 = 0 for b.\nAnswer: -1799\/46, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -109 in -2, 0.4, -1\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -5*y + 8. Solve p = y*p - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*w + 4*w - 570 = -5*w. Solve -t - 4*f = -0*f - 1, 5*t - 5*f - w = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2385 and 185657145.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 192*v**2 - 13*v + 11. Let q be 4\/8*18\/1. Let f be z(q). Let k = -21746 + f. What is k rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 726 by -6.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80 is divided by 39.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 - t**2. Let v(j) = 765*j**3 - 612*j**2. Determine 1836*b(r) - 3*v(r).\nAnswer: -459*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -181.18 - -181.2. Which is the fourth biggest value?  (a) -1  (b) o  (c) 2\/19  (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-1))\/(12\/(-18)). Let l(p) = p**2 + 2 + p**v - 2*p**3 - 1 + 3*p. Let w(c) = -c - 7. Let x be w(-5). Calculate l(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 474*u - 605*u - 1030*u - 288*u.\nAnswer: -1449*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 + 132*n + 124. Calculate h(0).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 710626301.\nAnswer: 7, 11, 283, 32611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 3*x**2 + 4*x - 392. Determine b(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -9060183*6\nAnswer: -54361098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/10)\/((-55)\/(-15))*(-10)\/(-6)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 4, -49, -6, 1 in increasing order.\nAnswer: -49, -6, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3\/230 and 73\/3700612.\nAnswer: 425570380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -123.3 + 123. Sort -1\/9, -1\/4, 0.4, z.\nAnswer: z, -1\/4, -1\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 AM and 12:08 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 214870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -292160 divided by 146080.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 103797535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 10*p + 52. Let j be x(-5). Suppose 3*y - 6543 = -n, 4*y + n - 8719 = -j*n. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 2*a**2 - 2*a - 2. Let l(w) = 3*w**3 + 27*w**2 + w + 12. Let c be l(-9). Calculate f(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 262 is divided by 68.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 579369794 at least as big as 579369796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 214 = 3*i, 2*i + 3*d - 56 = 112. List the prime factors of i.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 + 3 = 3*x + 3*u, -21 = x - 5*u. Suppose -x*z - 1540000 = 3*z. Round z to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88 = 3*q + 4*z, 4*q - 111 - 4 = -3*z. Let f = -26 + q. Solve 15 = -5*h - j, f*h + 2*j = -2*j + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 54 - 32. What is the smallest common multiple of a and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 4*p = -4*x, -4*p = -4*x. Suppose -4*z - 8*v + 3*v + 18169 = x, -v = -z + 4540. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 21168, 42390, 63612, 84834, 106056, 127278?\n\"Answer: 21222*v - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*i**3 + 4*i**3 + i**3)*(-1 + 4 - 2) + i**3 + 10*i**3 - 4*i**3 to the form x + q*i**2 + n*i**3 + a*i and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 31*t + 6 - 9*t - 3*t - 4*t - 5*t. Let w(y) = 110*y + 65. Calculate -65*o(m) + 6*w(m).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 878129\/(-308) - (-2)\/(-11). Let j = i + 2832. Calculate the common denominator of j and 37\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -184  (b) -2  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 16\/40 + 1\/(-15). Let g(n) be the second derivative of -z*n**3 - n**2 - n + 0. Differentiate g(y) with respect to y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 92744\/87 - 1066. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2838910 rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (20 + -34)*(-29)\/377. Factor -30\/13*p - i*p**2 - 4\/13.\nAnswer: -2*(p + 2)*(7*p + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange m - 4*m + 4*m - 4*m + 2*m + 3*m + (m + m - 3*m)*(4 + 5 - 4) to the form n + j*m and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the second derivative of 11*d + 0 + 5\/6*d**3 + 0*d**2. Let t(b) = -5*b**2. Calculate r(t(k)).\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -13 - (5 + -3 + -9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + (-15)\/21)\/(9\/315)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -2*q**4\/19 + 18*q**2\/19 - 8*q\/19 - 24\/19 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 = -34*t - 28*t + 56*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 11*s**3 + s**2 - s. Let q be f(2). Suppose -n = 24 - q. Suppose -h - 2*h + 25 = x, 5*h = 4*x - n. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-107)\/4 - 1) + (3510\/(-120) - -30)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -52*p - 46. Let h be d(-3). Suppose 3*s - 78 = -0*m - 3*m, 0 = -3*m + 5*s + h. Calculate the highest common divisor of m and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 130364071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 17148384?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = 3*i - 27, 5*d = -0*d - i + 31. Calculate the least common multiple of 8 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1234*u - 3 - 617*u + 2 - 617*u - 6*u**3.\nAnswer: -6*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 433424944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 4*w**4 - 1552*w**3 - 419440*w**2 - 22434944*w = 0.\nAnswer: -98, 0, 584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 23 times 12919\nAnswer: 297137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -94, -199, -314, -445, -598, -779?\nAnswer: -994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1\/3)\/(4\/180). Suppose -5*y - 3 = 2*z - a, -4*y - 3*z + 4 = 0. Suppose 4*b = 16, 5*n + b - 16 = y*n. Calculate the highest common divisor of 60 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 15) in base 9?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 minus -0.02084747857?\nAnswer: -0.27915252143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = w - 3 - 11, -5*w + 18 = -z. What is the second derivative of 2*v + 0*v + 3*v**2 - 5*v + 10*v**4 - 5*v**z wrt v?\nAnswer: 120*v**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 349545757 to the power of 1\/4, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3165*d**2*h**2 + 2*h**2 + 2145 wrt d.\nAnswer: -6330*d*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -39 + 47. Calculate the highest common divisor of b and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 3*d - 2. Let n(o) = o**3 + 8*o**2 + 6*o - 6. Let t be n(-7). Let q be p(t). Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the second derivative of -3 + 2*k + 1\/12*k**4 + 8*k**2 - 9\/5*k**5 + 0*k**3. Differentiate s(j) wrt j.\nAnswer: -108*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -45, -203, -459, -813, -1265?\n\"Answer: -49*j**2 - 11*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2\/13, -4\/3, 1\/4, 91969, 1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 - 4*h**2 - 6*h. Let n(x) = -x + 4. Let c be n(-3). Let s be q(c). Let a be (-2 - s\/(-1)) + 2. Calculate the greatest common factor of a and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 95*j**2 + 168*j + 806. What is the units digit of u(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 + 2. Find the first derivative of -g - 6 + 5 + 2*h wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*i - 12*i + t - 4, -4*t = 4*i - 16. Which is smaller: i or -3\/46?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 2*t + 2*l, l + 4 + 2 = 3*t. Suppose -t*w = -5*d + 22, 3 = 3*d + 2*w + 5. Calculate the highest common divisor of 18 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 460546 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 30301786717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 6 = 225. Let v = -44 - -26. Let p = v - y. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*m - 178 - 2 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/33510 and 41\/60?\nAnswer: 67020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 80920 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 + 5. Let a(z) be the first derivative of 13*z - 52 - 1\/2*z**2. Calculate a(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16650343 divided by -3\nAnswer: -16650343\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -5*s + 6, -3*j = -5*s + 18 + 4. Suppose -n = -2*n + s. Solve 4*l - n*g - 14 = 0, -3*l - g = g + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 8 - 1 - 431*o - 2 to a*o + k and give a.\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 77135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -5*o + 14. Let f(z) = 4*z - 50. Let d be f(13). Let l be r(d). Solve -2*w = l*y - 4 - 4, -4*y + 24 = -2*w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 13 + -1*(0 - 1). Let y be k*(1 - 33\/(-6)). Suppose 10*b - 5*b + 2*l - 162 = 0, 5*l + y = 3*b. Solve -5*f + h - b = 5*h, -2*h - 18 = 3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 154 and 169246.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 10, z: 10}. What is prob of picking 2 z and 1 o?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are 125\/2543 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -3*r + 65. Calculate i(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + -6. Let v = -376 - -380. Suppose -274*k + 291*k - 85 = 0. Put p, 3, k, v in descending order.\nAnswer: k, v, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12 and 176016?\nAnswer: 176016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 10*y - 50 = 0. Calculate the lowest common multiple of y and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12958?\nAnswer: 2, 11, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 355 - 350. Suppose -s*b - 52 = -18*b. Solve b*g - 52 = -9*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, d: 1, j: 4, y: 6, w: 1, g: 4}. What is prob of sequence ugwj?\nAnswer: 1\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + (-115 - -154 - (-1 - -6)))*-1.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes after 2:16 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5\/6, 20\/9, -2\/3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-10)\/(-35) + ((-4077)\/21)\/(-3).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(56)\/(sqrt(8) - 2*sqrt(8)) - sqrt(7)))**2 - (5 + sqrt(49)\/(sqrt(28)\/sqrt(4))).\nAnswer: -sqrt(7) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 26*b**2 - b - 11. Suppose 18*i = -11 - 43. What is the units digit of o(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 4341267482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -0.1  (b) 0  (c) -19  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are -10.84 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 - 11. Suppose -4*i = g*u - 61, 0*i + 22 = 2*u - 2*i. Let m = 8 + -5. Solve 0 = -f - 4*x + 3 + u, f - m = -x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iiir when four letters picked without replacement from {i: 3, r: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f\/f**29)\/f)\/f**(-2\/19)*(f**(-1\/6)\/f)**20 assuming f is positive.\nAnswer: f**(-2920\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 85 is divided by 55\/(-2)*4\/(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 257*t**2 - 3 + 190*t**2.\nAnswer: 447*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x + x - 4*x - 5.\nAnswer: -x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*(-2)\/45*((-820)\/(-120) + -6)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -42787481 + 42787481.20000013. Let o = 21.8 + -22. Let i = o + q. What is i rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -75.3 times -3?\nAnswer: 225.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-110 - 122 - 121 - 5474*y + 353)*(-2*y + 14*y + 23*y) to the form c + u*y**2 + w*y and give u.\nAnswer: -191590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/57, -1\/2, 1288.711, -3, 2 in descending order.\nAnswer: 1288.711, 2, -2\/57, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k - 35 = -117*d + 112*d, 2*k - 35 = -5*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1734 + -5206\/3. Sort p, -1\/6, 1, -0.1, -6.1 in increasing order.\nAnswer: -6.1, p, -1\/6, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 1  (b) 47  (c) 2\/3  (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 762.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*r**4 + 3*r**4 + 2*r**4 + (-r - r + 0*r)*(-7*r + r + 3*r)*(-30*r + 4*r + 244 - 246)*(5 + 2*r - 5).\nAnswer: -311*r**4 - 24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 7653179 to the power of 1\/2, to the nearest integer?\nAnswer: 2766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -814 + 809.09. Let q = l + -0.09. Is q greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1\/102 + 71\/306. Which is the biggest value?  (a) l  (b) -2\/3  (c) -0.12  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*i - 4*a - 5651 = -26*i, -2*a = -2. What is i rounded to the nearest ten?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*u + 272775 = -4*u + 13*u. Is u < 10911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -32579040 by -260.\nAnswer: 125304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -21.8 times -0.98\nAnswer: 21.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3 - (-22650)\/(-21)) + 3. Let f = 1070 + a. What is the common denominator of -65\/6 and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t - 10. Let f be o(10). Let m(h) = f*h - 4 + 2*h + 20. Let s be m(-7). Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*x - 342 = -59*x. What is the smallest common multiple of (-132)\/8*8\/(-6) and x?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 30847211.35 + -0.01467.\nAnswer: 30847211.33533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1047703786762463 minus 5?\nAnswer: 1047703786762458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84 = -4*t + 5*j - j, 9 = t - 4*j. Calculate the greatest common divisor of t and 300.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 610163412*b**3 - b**2 - 2483345*b - 20?\nAnswer: 3660980472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6184*x + 613*x = 2991*x + 847638 for x.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1110*s - 1075*s - 105 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-332046)\/(-330))\/129)\/((-2)\/20)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 750.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 27652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7109242981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4 + 5)\/(3\/9). Let l(u) = 6*u**2 - 2*u + 4. Does 26 divide l(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26 + 19 + -7 - 18.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 15 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**3 - 7*u**2 - 4*u - 5. Let c(b) = -2*b**3 - 14*b**2 - 9*b - 9. Let i(s) = -3*c(s) + 5*k(s). Determine i(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -34aa8b1 (base 12) to base 8\nAnswer: -46651205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 6*p**2 + 4*p - 5. Let r be s(2). Let c = 46 - r. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -g**5\/6 + g**4\/3 + 5*g**3\/6 - g**2 = 0?\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 + 8*r**2 - 20*r + 17. Let z be d(-10). Suppose z*o = 57*o - 46800. List the prime factors of o.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sk when two letters picked without replacement from hkkkhkhkkksg?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (26588\/85)\/(2 + (-56)\/30). Suppose -7*z + 370 = -i. What are the prime factors of z?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/2*(-3)\/(9\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-6)*h*h**(-2\/7))\/(h**(-32))**(-8) assuming h is positive.\nAnswer: h**(-1829\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p = 3*y - 9 - 10, -3*p + y = 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -3*z**3 - 4*z**2 - 15*z - 7. Let h be u(-3). Let p = h + -82. Solve -2*r = 3 + p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (4*60\/(-64)*-4)\/(5\/10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 101.9 and -276569.\nAnswer: -28182381.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2613488 and 608?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -375755*f + 154988*f - 316038*f.\nAnswer: -536805*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the first derivative of -1\/5*u**5 + 0*u - 1\/3*u**3 + 0*u**2 - 1 - 1\/2*u**4. Let b(v) = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-8)\/(-6)*(-28)\/((-112)\/36174) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 5*m**2 + 314*m - 372. What is b(-64)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 39497569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + ((sqrt(891) - ((sqrt(891)*3 + sqrt(891))*-2 + sqrt(891))) + sqrt(891) - sqrt(891)))*-2)**2 + -2 + 5.\nAnswer: -2304*sqrt(11) + 228163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j**2\/3 + 220*j\/3 + 448\/3 = 0. What is j?\nAnswer: -2, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 + -1. Let h be ((-8)\/6)\/((-6)\/18). Is a - (-36 + (h - 3)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) -39\/5  (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-39 - -35)\/(2 - 0) + (-2)\/(-3)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 1 - (-1 - -3) - 6) + 28046 + -27974.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -26392 - -52829\/2. Let x(b) be the first derivative of 0*b - 5\/3*b**3 + f*b**2 + 21. Let x(m) = 0. What is m?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the first derivative of -4546*x**3\/3 + 212*x - 3449. What is the derivative of j(m) wrt m?\nAnswer: -9092*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 436062 and 6534.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 0*l = -3*l + 15, 5*l = -4*u + 17. Let k be -2*1\/2 + u. Solve x - s = 4, 0*x + 3*x = k*s + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6150\/(-4100))\/(0 - 3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3572\/57 + (-15)\/9 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7819.\nAnswer: 7, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 10, u: 2}. What is prob of picking 1 u and 3 r?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j\/(j**(-1\/3)*j))**(-45)\/(j**(-4)\/j**(-1\/9)))**24)**(-5) assuming j is positive.\nAnswer: j**(4000\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 + 208*f**2 + 203*f - 832. Calculate m(-207).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the third derivative of i**5\/30 + 3813*i**2. Let c(r) = -1389*r. Calculate c(a(l)).\nAnswer: -2778*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39708, -81746, -123784, -165822, -207860, -249898?\nAnswer: -291936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/30 and 13\/13754230.\nAnswer: 41262690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is y in 4\/3*y - 2 - 2\/9*y**2 = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o. Let n(d) = 6*d - 2. Let v(f) = 5*l(f) - n(f). Determine v(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 33 times -5128\nAnswer: -169224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.7 - -16.7. Is 0.2 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes before 3:30 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 54715, 109483, 164251, 219019, 273787, 328555?\nAnswer: 383323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3599713106?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 + 6*x**2 + 2*x - 9. Let w be 6\/(-4)*(-1 + -19). Suppose -2*t = 3*t - w. What is the units digit of k(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (-2 + 4 + 7) - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/9*396\/88)\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 11 + -5 + -3 + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 287077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, v: 2}. Give prob of sequence vv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26\/39*60\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 2 m when four letters picked without replacement from {h: 2, i: 1, m: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 26*w - 46. Let p = 0 - 10. Let x(k) = k + 22. Let i be x(p). Is q(i) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 3952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -36b + 274?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18 and 764634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/4 - (-1)\/(-1). Let a = 2 - p. Suppose 5 = 5*t - 5. Solve 3*o + a = t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-444)\/(-15) + (-8)\/(-20). Which is smaller: m or 31?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**3*k)**37*(k\/(k*k*k**(4\/3)))**42)**32 assuming k is positive.\nAnswer: k**1600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 96 and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1622484487 to the nearest integer?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15576 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q + 2 + 3*q + 0 + 3*q**2)*(3 + 0 - 1)*(244*q - 298*q + 481*q).\nAnswer: 2562*q**3 - 854*q**2 + 1708*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -2*o**2 + 19*o - 9. Let p be j(6). Let z be p\/22*76\/22 + -5. Solve 0 - 2\/11*w**2 - z*w = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 324097 is divided by 108031?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-4)*((-8)\/(-6))\/(327\/(142245\/(-2320))).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (10\/(-2))\/(-5)*37. Suppose 6*q = c + 203. Calculate the highest common divisor of q and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*x - 0*a - 5*a - 27, -a = -5*x + 23 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 = -2*w + 32 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1631?  (a) -5\/2  (b) -155\/3  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 + 4. Let v = z + 0. Which is the third biggest value?  (a) -0.3  (b) v  (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -10*b + 15*b. Let m = 2 - 0. Suppose m*l - 5 = 5. Calculate the remainder when l is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 2*r = -2*v - 4, 0 = -2*v + 5*r + 23. Suppose 7 = v*o - 3*o. Suppose 0 = 4*p - 3*q + o, p + 12 - 4 = 2*q. Solve -1 - p = -3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1660 - 15a6?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c + 1. Let u be p(-4). Let f(r) = r**2 + 4*r + 7. Let n be f(-5). Let z be -1*(0 - 4*1). Solve n = u*l - 0*o - z*o, -5*l = 5*o - 30 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 3*a + 46. Let o be n(-17). Let x(v) = -7*v + 28. Let j be x(o). What is the highest common divisor of j and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2508*z - 2498*z - 2512*z - 2496*z - 2486*z - 2488*z + 14948*z.\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -20*h + 18. Let y(z) = 3*z. Give m(y(f)).\nAnswer: -60*f + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -44 (base 9) in base 3?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 43, 31\/3, 1\/22?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 13*u - 10*u - 972, 299 = t - 4*u. What is the highest common divisor of 58 and t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**2 + 3*d + 3. Suppose -4*c = -20, -5*i - c + 1 = -4. Let b be o(i). Suppose -2*t + 4*p = b*t - 162, -t - 5*p + 15 = 0. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -5, -6, -3, -58990, -0.4 in descending order.\nAnswer: 0.4, -0.4, -3, -5, -6, -58990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 9) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 104081 and 897347.\nAnswer: 2813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 275*l + 1723. Let k be g(-8). Sort 5, k, -2, 1, -1 in decreasing order.\nAnswer: 5, 1, -1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes after 4:49 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 - -28. Suppose -2*i + b = -0*i. Let s = i - 21\/2. Are s and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.061677 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 105\/(-182) - (-3)\/6.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -20*h - 5. Let k(o) = 5*o + 1. Let c = 30 + -30. Let y be c + 4 + (0 - 3 - -1). Let v(l) = y*z(l) + 9*k(l). Differentiate v(q) with respect to q.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - (-11 + (-1 - -7) + 5)) + 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 1\/4616?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.8 and -503386.\nAnswer: -503386.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 734809 is divided by 85.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/4)\/(0 - 5\/(-60)). Find the common denominator of 67\/9 and 49\/x - (0 - 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 61*-1.7.\nAnswer: -103.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 6*n**3 + 3*n**2 - 100*n. Let b(t) = -5*t**3 - 2*t**2 + 102*t. Give 3*b(y) + 2*h(y).\nAnswer: -3*y**3 + 106*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 749062 is divided by 361?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/2 of a millennium in decades?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 19243097057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 2.33738 micrograms?\nAnswer: 2337.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 27520566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 114 and 12198.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**2 - 4*g + 2. Let x be i(-4). Solve -3*y - x*y = -10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/8)\/(99\/22).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 79 + -26. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -214*v**3 - 384*v**2.\nAnswer: -1284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -7  (b) -1075  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 214637904 less than or equal to 1073189519\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/(-15)*13\/(884\/85).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1832033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 4*l + 1 = -0*w, -w + 4*l = -21. Suppose -p = h + 3*p - 35, -175 = -w*h + p. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the third derivative of u**5\/90 - 13*u**4\/36 + 4*u**3\/3 + 50*u**2. Suppose r(x) = 0. What is x?\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 60\/143 and 49\/130?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 7297, 6, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2789.071t to grams.\nAnswer: 2789071000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13160839?\nAnswer: 17, 157, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {a: 2, l: 1, r: 1, z: 2, u: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15633775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2337 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -211 + -459. What is t rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 21280 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1314104999?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 4*m + 29302 = 0, -5*m + 83458 = -26*i + 236009. List the prime factors of i.\nAnswer: 2, 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c**2 + 64*c - 1024 = 0. What is c?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 2022304660 to the nearest one million.\nAnswer: 2022000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-1)\/2)\/(3\/36). Let p = -24 + 25. Sort 3, p, o.\nAnswer: o, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 309771 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 108433691 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -125 - -136. What is the remainder when 75 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 585*y**2 + 579*y**2 - 2342*y**2 + 589*y**2 + 587*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 66 + 37. What is the second derivative of c*t**4 + 32*t - 2 - 55*t + 120*t**4 wrt t?\nAnswer: 2676*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -k - 2. Suppose 5*t - 11 = -1. Suppose -29*x + 52*x - 69 = 0. Solve x*p - k = t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -743, -1496, -2251, -3002, -3743, -4468, -5171?\n\"Answer: l**3 - 7*l**2 - 739*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -509*a**2 - 4*a - 48.\nAnswer: -1018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.02 and -33?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 21, 0.21, 2\/15, -350?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/((j**29*j)\/j))\/j**(-6\/23))**(-9\/4) assuming j is positive.\nAnswer: j**(2871\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + g + 0 = -5, 0 = -4*j + 5*g + 25. Solve -l - 3 + 0 = j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + 1 - (-365 + 361)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72) - sqrt(22)\/(sqrt(44)\/sqrt(4)))**2 - 2*(sqrt(2) + -1)*1.\nAnswer: -2*sqrt(2) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 0, 238, 1\/19, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 230.18 and 6495.\nAnswer: 1495019.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1442)\/(-21) - -8)\/((-260)\/(-468))?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the second derivative of -5*f**3\/6 + 25*f**2 + 1157*f. Calculate b(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/(-9) + (-24)\/(-8)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1680 - -1676. Let m be -1*47*(-3)\/6. Let y = m - 23. What is the nearest to -2\/3 in c, y, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**4 + 801*v**3 - 48789*v**2 - 637593*v.\nAnswer: -3*v*(v - 139)**2*(v + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4\/2739, 0.4, -3027?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3845.8 - -3846. What is the closest to s in -1, 0.2, 0, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 5 + 3)*(-59*k**2 - 93*k**2 - 65*k**2)*(k**2 - 4*k**2 + 2*k**2) in the form q*k**3 + m*k**4 + y + b*k + d*k**2 and give m.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 4 = -0*f. Let j(i) = -23*i - 3. Let h(k) = -22*k - 3. Let o(m) = -6*h(m) + 5*j(m). Is o(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -49154, -98246, -147338, -196430?\nAnswer: -245522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 24043782\/25 at least 961750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4669666 + -8970885. Let o = 4301228.9999976 + t. Let u = o + -10. Round u to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*u**2 + 18*u**2 + 7*u**2 - 1 + (4 - 4 - 2*u)*(-3*u - 3*u + 5*u).\nAnswer: 18*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (17\/(-3))\/(1\/(-111819)). Let n = -953641 + a. What is n rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-224)\/(-84))\/8)\/((-12)\/(-108))*-1*7.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3012*m + 248497 - 3011*m - 248497 + 9038*m - 3015*m - 23*m**2.\nAnswer: -23*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c = 25, -277*i + 279*i = -5*c + 33 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -72 - -35. Let v = 33.3 + c. Let t = 0.7 + v. What is the nearest to 2\/7 in 0.5, t, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1.7 and -0.083?\nAnswer: 1.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**2*h)\/(h**(1\/2)\/h*h)*(h**(-4\/5)\/h)\/((h**(-1\/5)\/h)\/h*h*h) assuming h is positive.\nAnswer: h**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 453, 3\/2, -2\/3, 3.\nAnswer: -2\/3, 1, 3\/2, 3, 453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 95 and 683.\nAnswer: 64885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 - 8. Let v be 2\/(-3)*(-3)\/2. What is the second biggest value in p, 0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(102) - 1*(sqrt(102)*-1 + sqrt(102))) + sqrt(102))\/((-2*sqrt(486) - sqrt(486)) + sqrt(486)).\nAnswer: -sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 27*t - 46*t + 61*t)*(4*t**3 + 0*t**3 - t**3) + (t + 0*t + 0*t)*(-t + t - 2*t**3) + (-4*t - 2*t + 4*t)*(-t + t**3 + t).\nAnswer: -40*t**4 + 9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*g - 15*g - 7*g)*(-2 + 3 + 1) - 88 + 15*g + 88 + (-g - 1 + 1)*(4 + 2 - 5) - g + 0*g + 0*g)*(-g + 0*g - g).\nAnswer: 50*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 217879 is divided by 369?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v**2 + 3*v**2 + v**2)*(4 + 5 - 10)*(-3 + 0 + 4 + (0 - 3 + 1)*(-1 + 3 - 1) + 2 + 0 + 0).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 54, 2, -42 in descending order.\nAnswer: 54, 2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 4*a - 5 = 0. Let i(y) = 2139998*y + 10. Let n be i(a). Round n to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 5*p - 55 = 0, -4*p = -4*m - p + 16. Solve -m = b - d + 4*d, -3*b - 4*d = 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1671913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.38 + 0.5. Let k = a - 7.12. Let o = k + 4. What is the closest to 0.1 in -4, 1\/5, o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19457793 to the power of 1\/2, to the nearest integer?\nAnswer: 4411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.527 to 1 dp.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1766990*3\/(28 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -39 + 39 + 10*n - n**4 + 9*n wrt n?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1951, 2003, 2055, 2107?\n\"Answer: 52*q + 1899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - (0 - 3)) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 17, 3, 5, 0, 254 in ascending order.\nAnswer: 0, 1, 3, 5, 17, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1285896, 2571762, 3857628, 5143494, 6429360, 7715226?\n\"Answer: 1285866*k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*d*m*o + 2*d*m + 2525*d*o + 4*d + 1006*m*o + 2*m - 2*o + 2 wrt d?\nAnswer: 2*m*o + 2*m + 2525*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((4425\/(-50))\/(-177))\/((-2)\/28).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 588623 is divided by 8139?\nAnswer: 2615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 98258205858 - -33?\nAnswer: 98258205891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/1242 and -41\/30.\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, o: 2, p: 1, q: 3, z: 5}. Give prob of picking 2 o and 1 w.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20136 + -483175\/24. Calculate the common denominator of 7\/32 and u.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 3*l + 428 = 0, 4*x + l - 336 = 5*l. What is the highest common divisor of 22 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3693 * 0.2.\nAnswer: -0.07386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of -k**2\/2 - 5*k + 14. Let c(x) = 2*x + 6. What is 2*c(o) + 3*v(o)?\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n**2\/13 + 13496344*n\/13 + 22768912670792\/13 = 0 for n.\nAnswer: -3374086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w*w**22))\/w**(-4)*(w**18*w)\/w**20 assuming w is positive.\nAnswer: w**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 6*c = -c. Suppose 5*v - v + 887 = 5*g, 2*g - v - 356 = c. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 73\/182 - 3\/26. Which is the nearest to -1?  (a) w  (b) -2\/11  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -1. Let z(y) = -53*y**2 - 53. Let r(d) = 53*h(d) - z(d). Let k(b) = b**3 - 2*b**2 - 4*b + 2. Let v be k(3). Is r(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*h*r**3 + 73*h*r*s**2 - 2331*h - 11*r**3 - 2*r**2*s**2 + 1446*s with respect to h.\nAnswer: 2*r**3 + 73*r*s**2 - 2331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 3*y - 21, -3*y = -3*n + 71 + 4. Let h be (n\/(-18))\/((6\/(-4))\/3). Solve -h*q + 0 = -12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.014419852325 rounded to five dps?\nAnswer: -0.01442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*t + d - 418 = 7*t, 2*d + 424 = 3*t. What is the remainder when t is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 45650 - 45645. Which is the fourth smallest value?  (a) -0.2  (b) w  (c) -1\/2  (d) 1697\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 33, 113, 239, 411, 629, 893, 1203?\nAnswer: 1559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 2*o**2 + 5*o - 4. Let q(w) = -2*w**2 - 4*w + 4. Suppose -2*b - 7*f - 2 = -5*f, -14 = 5*b + 2*f. What is b*y(h) - 5*q(h)?\nAnswer: 2*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2493\/29 or -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*j**5 + 5770*j**4 - 158105*j**3 - 898900*j**2 + 207500*j = 0. Calculate j.\nAnswer: -5, 0, 2\/9, 50, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(10)\/sqrt(5) - 3*sqrt(4)\/sqrt(2).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13 + -17. Let z = -0.5 + 4.5. Let m = 473 - 473.2. Which is the closest to m?  (a) z  (b) g  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -g**4\/4 - 811*g**3\/4 - 15897*g**2\/4 - 60665*g\/4 + 95711\/2 = 0.\nAnswer: -791, -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 - 23?\nAnswer: -1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2144 + -2?\nAnswer: -2146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 7 + -15 + -10 - 32116\/(-2108).\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7\/5*(-18)\/21)\/(-2*45\/(-3000)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let c = 4003 - 938. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-81 + 81 - 12*y)*(0 - 1 - 2)*(-3 + 1 + 3)*(-6*y + 3*y + y) to g*y**2 + j*y + b and give g.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 87.3 - 68.3. What is the third smallest value in j, 0.5, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-9)\/(-6) + 28\/(-8). Let r be (i + 3)\/((-3)\/(-9)). Let q be 21\/(-36) + 1\/r. What is the smallest value in q, -0.13, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 + 11. Suppose -18 = -r*b - 6. Let s = 0 + b. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 + (0 - (-3 + 0)). Let p be (-6)\/(-16) + 445\/7440*-6. Which is bigger: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.1 - 2. Suppose 5*n = 3*v + 27, 24*v = 2*n + 27*v + 6. Is n smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 1163915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 3*z**2 + 10*z - 8. Let l be p(-5). Let m = 31 - l. Which is bigger: m or 29\/2?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -61*d**2 + 27*d - 5. Let y(h) = 97*h**2 - 41*h + 7. Let s(q) = 8*j(q) + 5*y(q). What is s(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 1 + 4)*(-3*b**3 + 2*b**3 - b**3 + (2 - 2 - 8*b**2)*(3*b + 2*b - 3*b))*(-1 + 2 + 0)*(8 - 6 + 11) as g*b**2 + x*b**3 + p + i*b and give x.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/2)\/(3\/((-3)\/2)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.46 - -1.54. Which is the closest to 2?  (a) v  (b) -5  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -46, -94, -142?\n\"Answer: -48*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3\/8 + -25\/88. Let j = -10 - -7. Let u be j - (0 - -3 - 7). Which is bigger: u or z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - -1111010100011101100111?\nAnswer: 1111010100011101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, o: 1, h: 5, e: 1, y: 3, l: 1}. What is prob of picking 1 y and 1 o?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 80357 * -0.43\nAnswer: -34553.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11064924 and 177008.\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d + 2. Let m be r(-7). Let w = m - 7. Suppose -3*h - w*g = -20, -3*h + 2*g + 26 = g. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 4  (b) 1.71  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 2*p**3\/7 + 12*p**2\/7 + 18*p\/7 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.426765 centimeters in nanometers?\nAnswer: 84267650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1586.\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 37 = -3*v, 0 = 5*x - 6 - 14. Find the second derivative of -v*b**4 + 0*b - 6*b**4 + 12*b wrt b.\nAnswer: -204*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:54 PM and 10:12 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the first derivative of -i**4\/4 + 2*i**3 - 2*i**2 - 8*i + 416. Calculate f(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 282 - 66808222970.\nAnswer: -66808222688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11364, 11349, 11334?\nAnswer: 11319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4461455108 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15708 divided by 5236.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25428 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -7*c - 68. Let p be b(-10). Suppose -2000 = -p*h + 1686. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u + 0*u + 5*u)*(3 + 5 + 3)*(5 + 1 + 0)*(1 + 3 - 1).\nAnswer: 198*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 11360 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -2*f**2 + 56*f + 59. Let c be m(29). Let w be (-5 - 0)*(-16)\/(-10). Sort w, 3, c, 6 in increasing order.\nAnswer: w, c, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*u**2 + 30*u**2 - 4*u**2 - 23*u**2.\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -264 - -275. Put -4, 4, h in decreasing order.\nAnswer: h, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 divided by -1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 256582 = 230*o + 2427*o - 200*o - 8774 for o.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(1539) + -4)**2.\nAnswer: -216*sqrt(19) + 13867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 32 - 23*c - 32 in the form k*c + n and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.29, -57, 3\/8 in ascending order.\nAnswer: -57, 0.29, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 109046 less than or equal to 109045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -49*w**2 + 3*w + 5. Determine u(-1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*v = 43*v + 56 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 642115.\nAnswer: 5, 167, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2337484, -4674972, -7012460, -9349948?\nAnswer: -11687436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 o when three letters picked without replacement from ceeoboeeeeeeeeececc?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.02 - -0.22. Let t = 9 + -2. Let u = t - 3. Which is greater: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -9*a + 1. Let h(b) = -b. Let c(g) = -5*h(g) + t(g). Let m be c(1). Let o(i) = -6*i + 3. What is the units digit of o(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -724069 and -1290.\nAnswer: -725359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 - 8*i**2 + 9*i - 6. Let o be s(7). Suppose 7*h = 3*h + o. What is the third derivative of -17*d**5 - 14*d**h - 5*d**4 + 12*d**4 - 7*d**4 wrt d?\nAnswer: -1020*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8015 - -a?\nAnswer: 8020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccohcfcoycfffofccoco. Give prob of picking 1 o, 1 f, and 1 h.\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 37, 775, 2919, 7171, 14233, 24807?\n\"Answer: 117*i**3 + i**2 - 84*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2)\/(-11) - (118845\/(-55) + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 77?\nAnswer: 3\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppt when three letters picked without replacement from {w: 7, p: 2, x: 1, t: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 2*g**3 - 4*g**2 + 11*g + 1. Let u(o) = -o - 6. Let y be u(3). Let j be r(y). What is j rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -7*x + 0*x - 3*x**3 + x**2 - 1 + x**3 + 3*x**3 - 35*x. What is the tens digit of p(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 253153.77 months?\nAnswer: 21.0961475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from xxxxxixph?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -4\/535, -1 in increasing order.\nAnswer: -1, -4\/535, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:13 AM and 7:39 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8 + 7.7. Suppose 16*v + 7 - 23 = 0. Put -0.01, k, v in increasing order.\nAnswer: k, -0.01, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2232 by 372.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78*p - 6417 = -4077 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 6*b + 74. Let t be (1 - b\/(-4))\/(279\/(-62)). What is the nearest to -2 in -73, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000005301 to seven dps.\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the third derivative of g**5\/20 + g**4\/4 - 5*g**2. What is the second derivative of y(j) wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 471322705 to the nearest integer?\nAnswer: 21710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3650 is divided by 1823?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**3\/2 + 431*a**2 - 4289*a\/2 + 1714.\nAnswer: -(a - 857)*(a - 4)*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2531480814?\nAnswer: 2, 3, 797, 176459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -438*u + 440*u - 9*l, 8 = -2*u + 3*l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.036291 rounded to 3 decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 18*((-6)\/9)\/(-2). What is the units digit of (-1)\/3 - (-14)\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -19*h**2 + 2*h. Let y be (-5 - 11\/(-2))*14. Let u(i) = 4*i**2 - 5*i**2 - 4*i**2 + y*i**2. Calculate s(u(p)).\nAnswer: -76*p**4 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1417, 1353, 1259, 1135, 981, 797?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, z: 4, j: 3, i: 6, q: 2}. What is prob of sequence zjvq?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, 1, -22 in increasing order.\nAnswer: -22, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9\/2 - 43\/10. Solve -12\/5*u - 6\/5*u**3 + t*u**4 + 4\/5 + 13\/5*u**2 = 0 for u.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 13, i: 6}. Give prob of picking 4 i.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 364 = 9*k. Let x = -40 + k. What is the remainder when 22 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -82 - -329\/4. What is the closest to 1 in w, 2\/3, 10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*u = -1319 + 7703. Which is smaller: u or 531?\nAnswer: 531","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -33*q + 29*q + u, -33 = 5*q + u. Let c = 0.6 + -0.8. What is the biggest value in q, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the first derivative of -4*r**3\/3 - 32*r**2 - 240*r + 696. Factor s(k).\nAnswer: -4*(k + 6)*(k + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w = -1 - 14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (112\/(-20))\/((-24)\/(-15) - 2). Suppose -11 + 67 = c. What is the remainder when c is divided by 4\/t + 103\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 14188, 13818, 13448, 13078, 12708, 12338?\n\"Answer: -370*k + 14558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -21145\/6 greater than -3525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -6*s - 85. Let v be d(-18). Does 25 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**3 + 9*s**2 + 3. Suppose 10*l - 342 = 1168. Let m = -160 + l. Calculate u(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/260316 and 33\/57848.\nAnswer: 520632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -f*o**5 - f*o**3 + 358*f*o**2 - 10*o**5 wrt o.\nAnswer: -60*f*o**2 - 6*f - 600*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/9 of a hour?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i**3 + 22*i**2 + 5*i + 15. Calculate t(-11).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 8*j + 688. Let h be j\/36 - 4\/18. Let b = h + 7. Calculate the smallest common multiple of b and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -8*o**2 - 33*o + 2. Let y be r(-4). Let l = 1466 - 658. Suppose -2*b + l = y*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 100 = -10. Suppose u - 45 = -5*x, 0 = -x - 3*u + 7*u + i. Solve 2*j + 3*d - x = 0, -3*j = -4*j + 4*d - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 272967621*v**3 + 170481885*v wrt v?\nAnswer: 1637805726*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4194 by 10.\nAnswer: -2097\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 divided by -72?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 45248 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -2*a + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 5*i**3 - 4*i**2 - 5*i + 3. Let s(k) = 7 + 14*k**3 - 12*k**2 + 1 - 68*k + 54*k. Give -3*s(q) + 8*w(q).\nAnswer: -2*q**3 + 4*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -5*f + 2. Let h be s(-2). Suppose 0 = -6*j + 446 + 58. What is the highest common divisor of h and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-3\/8)\/(j*j*j**(1\/16)) assuming j is positive.\nAnswer: j**(-39\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 17011830 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 999589807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u = -5*m + 9*m + 32, 4*u - 29 = 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 126\/9 - ((12 - -8) + 13)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.13 * -4\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*q + 129*q - 55*q + 128*q.\nAnswer: 192*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) 2  (c) 31\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -149*y + 287*y - 147*y.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -302 times 261\nAnswer: -78822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 AM and 1:02 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (108*q - 12683 + 12683)*(-2*q**4 + 4*q**4 - q**4).\nAnswer: 108*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 7470\nAnswer: 2\/3735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-27)\/3*2 - (-62 - -86)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 2*s + 356 = 0, 0 = -2*x - x + 3*s + 222. Suppose -y = -2*g - 19, -2*y = -5*y + g + x. Solve 0*f = 5*f - y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 289482456?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -105514 + -46?\nAnswer: -105563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -219 divided by -219?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2149726 divided by -5\nAnswer: -2149726\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -434 - -424. Is d less than 69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 34093113 + -1683\nAnswer: 34091430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1.1, -2\/7, 0, -5 in increasing order.\nAnswer: -5, -1.1, -2\/7, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 3*x + 19 - 10, 5*s + 4*x = 7. What is the nearest to -0.1 in -0.2, s, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-14)\/21*3 - 3601\/(-1108). What is k in 0 - 3*k**2 + 2*k - 9\/2*k**3 - w*k**4 = 0?\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 611352 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a microsecond in nanoseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2705 - -4113. What is the highest common divisor of 132 and g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -75610 or -6729421\/89?\nAnswer: -75610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 - 13*c + 19. Let a be k(-15). What is a rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 - -9.82. Let d = z + 0.98. What is the biggest value in d, -2, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7b0439 (base 16) in base 12?\nAnswer: -2849621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c - 126 = -20*c. Let n(b) = -b**2 + 7*b + 12. Give n(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -232 = 3*b - 11*b. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.018, 2\/5, 2\/15, 4, -4 in increasing order.\nAnswer: -4, 0.018, 2\/15, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001372 rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) 11  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 - -1) + (-7 - -3) - -1. Let z be 3 - (0 - q)\/((-1)\/1). Find the third derivative of 11*t**3 - 5*t**3 + 6*t**3 - z*t**2 - 13*t**2 wrt t.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-42)*(-13)\/((-936)\/(-63)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*k**2 - 3*k**2 + 2*k**2)*(4*k + 12*k**2 + 9*k**2 - 18*k**2).\nAnswer: 18*k**4 + 24*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 v, and 1 s when three letters picked without replacement from bbbsvevovsvvebbv.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 52 + 12 + (4 - 3 - 19)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:14 PM and 9:52 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -77*k**2 + 18*k**2 + 7*k**2 + 25*k**2 + 0*k**2.\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 4*g**2 - 19*g + 12. Let i be (20\/(-14))\/((-33)\/231)*2. What is the tens digit of h(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1448 + 311. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 294 = -3*o, 2*g = 2*o + 169 - 53. Does 35 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 + 13*s**2 + s + 13. Let p be x(-13). Suppose g - 4*g + 5*a = -58, a - 1 = p. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, 3, -0.29, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -424740 to the nearest 10000.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 25191197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 15391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) -1\/16  (c) 4\/7  (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4 + 204*a**3 - 2*a + 21 - 7 - 53*a**3 wrt a?\nAnswer: 906*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 396242, 396247, 396256, 396269, 396286?\n\"Answer: 2*l**2 - l + 396241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9370 and 1580?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/(-24) - (3\/18 + -2). Differentiate -22*q**y + 7*q - 48 - 7*q - 16*q**2 with respect to q.\nAnswer: -76*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -3706, -7315, -10924, -14533, -18142?\n\"Answer: -3609*c - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 516 divide 1390336267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 237 divide 119067727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the third derivative of m**2 + 1\/3*m**3 + 0*m**4 + 0*m + 1\/60*m**6 + 1\/30*m**5 + 0. Determine g(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -2*t. Let f(h) = 32*h + 22*h - 89*h + 22*h. Give f(n(k)).\nAnswer: 26*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1410893*c + 932*c**2 + 705437*c + 705456*c.\nAnswer: 932*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 - -43376?\nAnswer: 43808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*z - 12*z - 25 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 117*j + 7 + 0 - 112*j + (2*j + 5*j - 5*j)*(1 - 3 + 1).\nAnswer: 3*j + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 - 6253461611?\nAnswer: -6253461613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 4*h**2 + 28*h**2 + 10*h**2 + 31 - 55 + 15.\nAnswer: 42*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -160486*t**3 - 15*t**2 - 8849*t - 2.\nAnswer: -962916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -488939014 divided by 23?\nAnswer: -21258218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*c = 7*c + 8. Suppose -3*l = 5*t + 23, -4*t - 9 - 27 = -c*l. Let h(q) = q**3 + 8*q**2 + 8*q. Calculate h(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e and 1 j when four letters picked without replacement from gcgcjggggegjgegceg.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the first derivative of -15*r - 13\/3*r**3 + 0*r**2 + 6. Differentiate z(i) wrt i.\nAnswer: -26*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, n: 1, u: 9}. What is prob of sequence bnu?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2102 + 2138. Calculate the smallest common multiple of g and 378.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(77) - (-2*3*sqrt(77) + sqrt(77)))*-6)\/((-1*(sqrt(77) - (sqrt(77) + 2*sqrt(77))))\/((sqrt(1225) + sqrt(49))\/sqrt(7))).\nAnswer: 324*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 404, 430, 456, 482, 508, 534?\n\"Answer: 26*v + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the third derivative of -h**5\/90 - h**4\/4 - 80*h**2 - 5*h. What is n in r(n) = 0?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -6*b**2 + 1. Let u(i) = 48*i - 1. Determine p(u(m)).\nAnswer: -13824*m**2 + 576*m - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*p + 7*p = 5*g + 32147, 0 = -3*p + 9*g - 24072. Are p and -8032 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1936 - 1965. Let x be -1 - 4\/(8\/38). Let f be (x\/(-1))\/(2\/(-3)). Which is smaller: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/3, -19.1329, -215\/6?\nAnswer: -215\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 75\/2  (b) -27  (c) -4  (d) 3  (e) 2  (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 21*q - 27. Let x(n) = -2. Give j(m) - 18*x(m).\nAnswer: 21*m + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of -2*j**3\/3 + 3*j**2\/2 + 36*j + 201. Give d(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes before 12:56 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(-33725))\/(3*198\/(-270)). Is i at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x + 0*x - 5*x)*(-2 + 0 + 0) + (-29*x + 76*x + 30*x)*(4 - 4 + 1).\nAnswer: 87*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i = -4*i + 768. What is the highest common divisor of i and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes after 11:10 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -494621 divided by 125\nAnswer: -494621\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13583 is divided by 124.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + -1. Let x be ((-4)\/(-65))\/(6\/(-15)). Let k = x + 21\/52. Put -1, k, j in descending order.\nAnswer: k, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*r**2 + r**3 + 0*r**2 + (-2*r - 4*r + r)*(-423 + 423 - 632*r**2).\nAnswer: 3161*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 4085104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -72 - (68 + -60 - 46).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-1)\/1*1)\/((-2)\/10). Suppose 13 + 7 = l*o. Suppose 0 = -5*w - 4*n - n + 45, -5*n = -o*w + 81. What is the remainder when 123 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -28\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 11 = -6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1153, 2306, 3459, 4612?\n\"Answer: 1153*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 299.4554 weeks?\nAnswer: 181110625920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -40.1 - 2.9. Let r = -5.6 - g. Let d = r - 32. Round d to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 27*f**3*l**3*v + 11*f**3*l**3 - 108*f**3*v + f**3 - 3*f*l wrt v.\nAnswer: 27*f**3*l**3 - 108*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ik when two letters picked without replacement from miqmmqkomikq?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 10511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1871, -15282, -51731, -122738, -239823, -414506, -658307, -982746?\nAnswer: -1399343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2303*f + 1454*f = -157794 for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 - 379*c**2 - 370*c + 3024. Determine q(-378).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.56639 - 0.08828. Round j to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the third derivative of j**7\/840 - j**6\/240 - j**4\/4 + 10*j**2. Let s(d) be the second derivative of r(d). Factor s(c).\nAnswer: 3*c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*t**2 + t + 0*t**2 + 5*t**2 + 0 + 4*t**2 + 0 - t**2 + 4*t**2 - 2*t**2 + (-3*t + 0*t + t)*(-t - 2*t + 4*t) to z*t**2 + v + p*t and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 51456742?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53012*i = 53051*i - 546 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (27\/18)\/((-6)\/(-4)). Put -19, -7, l in ascending order.\nAnswer: -19, -7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, 12, 4, 282, 3, 2 in decreasing order.\nAnswer: 282, 12, 4, 3, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*h - 200 - 269 - 323 + 0*h - 8*h**2 + 565 to the form c*h + q*h**2 + k and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + ((7 - 0) + (-2 - 4) - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 82 divide 377118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -641*n - 2. Let a(o) = 97*o**2 + 1. Determine t(a(z)).\nAnswer: -62177*z**2 - 643","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 12 + 32 = 0. Suppose s + r = y, 3*y + 24 = -4*s + s. What are the prime factors of 15\/2 + 3\/s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -4*x + 1. Let k be z(-2). Let m be 15\/(-6)*(-35 - -1). Suppose -4*o + m + 95 = 0. Calculate the greatest common divisor of o and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 15000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9532*g + 366*g + 522462 = 0 for g.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d + i + 4*i + 1, 2*i = d + 10. Calculate the remainder when (-1464)\/(-27) + (-2)\/9 is divided by 38\/(-6)*(d + (0 - -1)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 155227436.3 rounded to the nearest 1000000?\nAnswer: 155000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20 - 17. Suppose -g*x + 48 = -0*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2177, 1, -13 in decreasing order.\nAnswer: 1, 1\/2177, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 148*o + 3549. What is u(-24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 10*d**2 - 3*d + 133. Let s(r) = 3*r**2 - r + 45. Let f(c) = -7*s(c) + 2*x(c). Calculate f(0).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-5\/2)\/y**(6\/7))**(-2\/9) assuming y is positive.\nAnswer: y**(47\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1080662?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -19235*b**3*x**3 + 2*b**2*x**2 + 2*b**2 - 61*b*x**3 - 1 wrt b?\nAnswer: -115410*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 7.796607 hours?\nAnswer: 0.046408375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 85 and 55.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 213118831 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**4 - 32727*p**3 - 103616352*p**2 - 74869325568*p.\nAnswer: -3*p*(p + 1021)*(p + 4944)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/567?  (a) -8  (b) 5  (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 181*j**2 + 76*j + 12. Is c(-4) a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 4*k**3 - 887776*k**2 + 1775540*k - 887768 = 0?\nAnswer: 1, 221942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2006696 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 144*p + 134121 - 134121 in the form s*p + j and give s.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 640784016 to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 4, x: 2, k: 8, l: 1}. What is prob of sequence xp?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 960*f + 989*f + 8435 = 2190*f for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -89*b**2 - 2402*b + 30. Calculate g(-27).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 t, and 1 x when three letters picked without replacement from {p: 4, f: 9, t: 2, l: 1, x: 1}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1942 or -1472?\nAnswer: -1942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 13 + 3\/(-144)*642. Let b be -2 - (-1 + 1\/2). What is the third biggest value in 9, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -38*5\/440 + 1\/4. Let f = 1\/605 + 603\/1210. What is the third smallest value in 1, -4\/9, f, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3749 and 4?\nAnswer: -14996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(30) - (sqrt(30) - sqrt(90)\/sqrt(3) - sqrt(30))*-2 - sqrt(30))\/((-1*sqrt(490) - sqrt(490) - sqrt(490)) + sqrt(490) + sqrt(10)))**2 + 4.\nAnswer: 688\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 71*u**2 - 4*u - 14. Let t be v(-4). Suppose 0 = 3*w - x - 2067, 2*x - t - 248 = -2*w. Let d = w + -373. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (28\/(-8) + 3)\/(-2). Which is the nearest to 3\/4?  (a) 3\/2  (b) n  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2060 smaller than -2060?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -17, -4 in decreasing order.\nAnswer: -4, -8, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16596 + 16596.26049. Let f = -0.259 + u. Round f to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2\/7, 33, 2, 16?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 3 - 6905086118\nAnswer: -6905086115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Expand s**2 - 3*s**2 + s**2 + (2 - 2 + 5)*(0*s**2 + 0*s**2 - 2*s**2) + (3*s - 5*s + s)*(-13*s - 6*s + 3*s)*(-1 + 1 - 1).\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 895*b**4 + b**2 - 63*b?\nAnswer: 21480*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-20)\/22)\/(1250\/(-6875))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -2*w**3\/7 + 3036*w**2 + 15186*w + 85048\/7 = 0.\nAnswer: -4, -1, 10631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -6*h - 1. Give f(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -21574*c**2*n**2*p**3 + 83*c**2*n*p**3 + 7*c**2*p**2 - c*n*p**3 - 2*c*n wrt n?\nAnswer: -43148*c**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2953870756.\nAnswer: 2, 1117, 661117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjjjjjjjjjjjjrjj?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u + u + 2*u)*(-100*u + 100*u - 10*u**2 + (-3 + 3 + 1)*(3*u**2 - 4*u**2 + 3*u**2) + u**2 - 3*u**2 + u**2).\nAnswer: -18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(5\/6)\/(h\/h**(-3))*(h\/h**1)**(-7\/2)*((((h\/h**(-1\/2))\/h)\/h)\/(h*h\/(h*h*h\/h**(-1)*h)))**(-1\/6) assuming h is positive.\nAnswer: h**(-43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in 0.1, -30, -6, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -29, -57, -71, -65, -33, 31, 133?\n\"Answer: o**3 + o**2 - 38*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13 + 16. Suppose 9 = -3*c, -5*c - 136 = -y*w + 149. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2225 = -d + 2*l + 2226, -3*l = 2*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -2*m**2 - 10*m. Let q be d(-5). Solve 2*k = -q + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -216*o + 14940 = -201*o. What are the prime factors of o?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 - -4447?\nAnswer: 4442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01889078956 rounded to four dps?\nAnswer: 0.0189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -10 + (-3 - -1 - -9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, i: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 134155256 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1007516338?\nAnswer: 2, 5683, 88643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.54 + -0.06. Let k = m + -0.48281. What is k rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 450 + -453. Which is the nearest to s?  (a) -0.6  (b) 0.4  (c) -4  (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, 3, -17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2200 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31821280.\nAnswer: 2, 5, 17, 11699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -747678 - -747678.1. Let h be (-1 - -2)*6\/87. Let v = -1 - -3. Which is the third biggest value?  (a) h  (b) v  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2767*d**3 + 3893*d**3 - 6663*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - 0. Let s = 0.32 + 0.08. Which is the second smallest value?  (a) f  (b) -1  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**3 + 13*v**2 - 5*v + 51. What is l(13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -42282625 + 42282701.0000004. Let x = l - 76. Round x to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 3 g when four letters picked without replacement from {f: 1, s: 3, r: 2, u: 3, y: 4, g: 3}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**2 + 11*t - 2. Let z be d(5). Suppose -2*l + 4 = -z. What is the remainder when 1 - (-4)\/(8\/90) is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**2 + 5*m - 2. Let o be a(-6). Let q = 0.2 - 4.2. Put q, -0.1, o in descending order.\nAnswer: o, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 657 - 213 = 29*d + 423*d, -78 = 5*d + 4*c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11455 + -6428. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, b: 11, e: 2, d: 1}. What is prob of picking 2 b and 1 d?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 235564081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4 + ((-76)\/(-4) - 3). Suppose 1546 = x*b - 1262. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4581, 23, -5, 51 in increasing order.\nAnswer: -5, 23, 51, 4581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 2*s - 3. Let a(f) = -5*f**2 - f. Let o be a(1). Suppose -2*k - 2*r = -12 + 6, -3*r = -3. Let n(c) = -3*c - c - k - 7*c + 12*c. Give o*n(p) + 4*z(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*w + 26*w + 4*v = 510285, -170099 = -w - 2*v. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 12 = 4*x. Let h be (8\/x)\/(7\/462). What is the greatest common factor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 364524 and 444?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -555*f**2*i**3 - f**2*i**2 - 1325*f**2 wrt i?\nAnswer: -1665*f**2*i**2 - 2*f**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 132316654 and 1058.\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 6*v**2. Suppose 0 = -5*k + 8 + 7. Let t be k\/(-6)*(-8)\/2. Let c(p) = 3*p + t*p - p - 3*p. Determine c(u(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times 433\nAnswer: -43.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 458.747 + -499.27. Let l = q + 0.023. Round l to zero decimal places.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/6*6 + -20. Let g = m - -29. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00838222 to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 - -4.5. Let y = d - 0.5. Let k = -57 - -57.03. Do y and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y**3 - y**3 + 4*y**3)*(1 + 0 - 3)*(6*y**2 + 7*y**2 - 4*y**2).\nAnswer: 18*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000812902212 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 244*q - 1 + 14 - 10 - 3.\nAnswer: 244*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 473.7473 grams to milligrams.\nAnswer: 473747.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1020 (base 4) to base 5\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnxc when four letters picked without replacement from ndxnccdxxncnccx.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.663 and -0.1.\nAnswer: 0.0663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 - 11689*l + 4184*l - 3030*l.\nAnswer: -10535*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 400, 420, 452, 496, 552, 620, 700?\nAnswer: 792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -3*n. Let r = -12 + 18. Suppose -5*o - 2*z + 2 = -r*z, 8 = o + 3*z. Let a(v) = 6*v**o - v**2 - v**2 - 5*v**2. What is j(a(i))?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 10736*n - 4808 with respect to n.\nAnswer: 10736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -14*p**3 + 5*p**2 + 13*p + 14. Let i(b) = -13*b**3 + 6*b**2 + 11*b + 12. Give -7*i(l) + 6*y(l).\nAnswer: 7*l**3 - 12*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58 + -54 + -1 + -1 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 10001 (base 3) in base 5?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/7, -103, 458 in descending order.\nAnswer: 458, 1\/7, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -350\/151?  (a) -1  (b) 0.4  (c) 298\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*q**4 - 7*q**2 + 2*q**3 - 2*q**4 - 15*q + 30*q - 17*q + 4*q**4 as v + r*q**3 + h*q**2 + l*q + z*q**4 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**6)**(1\/16) assuming h is positive.\nAnswer: h**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - 32 - (-268 + 248)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes before 10:11 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 7, e: 3, g: 2}. Give prob of picking 2 g.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/7*-1*1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 334524643 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 20 = 3*o - 5*n, -3*o + 4*n + 14 = 0. Suppose -a = -5*q + o*a, 4*a - 26 = -2*q. Solve b = 3*k - 2*k, -q*b = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**3\/7 - 38*j**2\/7 + 96*j\/7 + 5760\/7.\nAnswer: (j - 24)**2*(j + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28124, -56108, -84092, -112076, -140060?\nAnswer: -168044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -93 + 5. What is the greatest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*28\/105*25\/(-40).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00004484 to six decimal places.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 3 q when four letters picked without replacement from qwwhzqzzwqqwwqq?\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4\/9  (b) 3\/5  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 25374113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2724948730 to the power of 1\/4, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11050 divided by 10.\nAnswer: -1105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-30)\/(-5)*(-2)\/4. What is the remainder when 15 is divided by 5 + (-3 - -10) + l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 319*r**3 + 4*r**2 + 2155 - 2*r - 2155.\nAnswer: 319*r**3 + 4*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -62*d - 47. Let y(z) = -185*z - 140. Give -17*w(c) + 6*y(c).\nAnswer: -56*c - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**3 - 36*h**2 - 829*h - 151. Determine m(52).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2 - 5*w - 13. Determine s(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 265\/356 - -1\/178. Let z = -19 - -22. What is the nearest to -5 in v, 3\/8, z?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-36)\/198 - 96\/(-165).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1137946 is divided by 743.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 250679 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 27 = -2*k, 3*k - 8*k = -t + 35. Let v be 2\/4 - k\/4. Suppose v*z - 2 = -4. Is -2 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23123303 (base 4) to base 12.\nAnswer: 2312b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -248*q + 211*q + 333 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 + 2*k**2 - 5*k - 3. Let y be u(3). Let n be ((-16)\/(-6))\/((-18)\/y). Solve -4*v - 2*o - o + n = 0, 4*o = 2*v + 20 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -9*z. Let l(v) = -v**2 + 27 + 24 - 51. Determine l(i(s)).\nAnswer: -81*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 14 in 0.08, -139\/4, 4.2, -1\/3?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 12.31867 grams?\nAnswer: 12318670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10354 - 10354. Let f(a) be the first derivative of b*a**3 - 5*a**4 + 0*a - 19 - 23\/2*a**2. What is the second derivative of f(x) wrt x?\nAnswer: -120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 25 (base 10) to base 14\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 14684112 rounded to the nearest one hundred thousand?\nAnswer: 14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-13 + 0)*(6 - 8). Let h = 97 + t. List the prime factors of h.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 368157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the first derivative of 7*o**2 - 93*o + 22. Let z be d(7). Put z, -23, 1 in decreasing order.\nAnswer: z, 1, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that m**2 + 3455*m + 68700 = 0.\nAnswer: -3435, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96159?\nAnswer: 3, 7, 19, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/347 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -203 + 253. What is the second derivative of -t - 180*u + 352*u + 41*u**2 - 171*u wrt u?\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-2\/23)\/((m\/((m\/(m*m**(-16\/9)))\/m))\/m*m))\/(m**32\/m)**(-2\/27))**(7\/3) assuming m is positive.\nAnswer: m**(8638\/1863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 121239 is divided by 8790?\nAnswer: 6969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -24.0201 rounded to one decimal place?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -4*d**3 - 13*d**2 - 27*d - 4. Determine f(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000021961 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**3 - 33*g**2 + 97*g + 452. Let h be m(-39). Calculate the greatest common factor of 95 and h.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 9*w - 14. What is f in 181*f - f**5 - 21*f**w - 21*f**2 - 102*f**3 - 76*f + 75 - 2*f**5 - 33*f**4 = 0?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 5*v = 2*v - 4, 28 = 4*z + 3*v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 5 = o, -o - 2*n + 3*n - 4 = 0. Put 3, o, 0.2, 16 in descending order.\nAnswer: 16, 3, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from oyccwypyccocycwo.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of -u**6\/120 - u**5\/60 + u**4\/12 - u**2. Let r be h(-2). Factor -2 - 2*a**2 + r + 4.\nAnswer: -2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*c**3\/7 - 102*c**2\/7 + 228*c\/7 - 90\/7.\nAnswer: 6*(c - 5)*(c - 3)*(2*c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 11*u = 18*u - 168 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(12\/8)\/((6\/4)\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -8*f**2 + 1. Let x(c) = -c**2. Let a(h) = -6*x(h) + z(h). Let y(d) = -13*d**3 - 51*d**2 + 4*d - 2. Let u be y(-4). Give a(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 23021635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 145\/36 and 167\/6420.\nAnswer: 19260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o - 1. Let n = 396 + 342. Let r = n + -744. Let x(q) = q + 6. Determine r*p(v) - x(v).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 498693617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11889, -23725, -35565, -47409, -59257, -71109?\nAnswer: -82965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {v: 10, p: 4, k: 3, a: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is y in y**3\/5 - 143*y**2\/5 + 112*y - 556\/5 = 0?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-2\/5)*t**18*t\/t**(14\/5)*t**(-2\/11) assuming t is positive.\nAnswer: t**(859\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 - -9)\/(1*-1*2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 472 + -536. Let w = -70 - x. Is w not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19 - 19.1. Let t = 8 - 6. Let r = -53.79 + 53.8. What is the nearest to r in j, t, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13 and 3357263?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 1\/97 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 8\/14713395 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 261.084109 to zero dps.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 187913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18360 and 4536?\nAnswer: 385560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -35.1299418 rounded to two dps?\nAnswer: -35.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*g + 69*g - 51392 - 17600 = 0. Does 45 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -10*w. Let i(x) = 87*x**2. Give n(i(p)).\nAnswer: -870*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7354\/5 in -852, 1\/3, 1?\nAnswer: -852","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 8.7 and 1.1?\nAnswer: 9.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 15711233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 + 7. Suppose p*g - g + d + 11 = 0, 0 = 4*g - d - 35. Solve g - 3 = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 43 = 5*t, 0 = 3*t + 7*p - 2*p + 37. Which is smaller: t or -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00988873 rounded to 5 dps?\nAnswer: -0.00989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 15 = 0, -8*h + 42 = -7*h - 4*y. Calculate the remainder when 43 is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**2 + 3*c + 6. Is z(-6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times -407.17696?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8138, -16265, -24378, -32471, -40538, -48573?\nAnswer: -56570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 31*v - 36. Give u(-3).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 58 - 24. Let q = l - 7. Let v(x) = 13*x**2 + x. What is the remainder when q is divided by v(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10092 - -18200. Let a be -2 - n\/(-8) - 3\/2. Suppose 19*t = 17*t + a. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 8*f = 0. Let s be f*-3*1\/(-3). Let g(q) = s*q + 3 - 4*q - q - q. Give g(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - b - 4*b + 82 = 0, 0 = -b - 4. Suppose -2*l + 7*d = 2*d - 70, -4*d = 2*l - t. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + k + 139 = 0, 16 = a - k - 3*k. Suppose 3*s + 142 = -2*x, s + 5*x = 2*s + a. Let o = s + 54. Solve 2*g - r - o = r, 0 = 2*g - r - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the first derivative of -24*g**5\/25 + 879*g**4\/5 + 1818*g**3 + 13785*g**2\/2 + 11550*g - 10639. Find d, given that k(d) = 0.\nAnswer: -5\/2, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 divided by -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 3*m = 3, -4*y - 6 = 4*m - 2. Suppose -9*s + 9 + 9 = y. Solve 6*d - s*d = -20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(130)*4)\/(sqrt(110)\/(2*sqrt(11))).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -203*l**2 + 4*l - 2. Let k(t) = 226548*t**2 - 4466*t + 2233. Determine 2233*f(z) + 2*k(z).\nAnswer: -203*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + -4 + -7*3\/(-3). Suppose -1\/6*g**4 + 0 + 0*g + 1\/6*g**h + 1\/6*g**3 - 1\/6*g**5 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*a**2 - 228*a + 225.\nAnswer: 3*(a - 75)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 91839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1005118049928+0.79\nAnswer: 1005118049928.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8283 and 24096?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*a + 0*a + 3*a)*(17*a + 73*a + 31*a) + 3*a**2 - 490*a - 5*a**2 + 468*a in the form x*a**2 + c*a + v and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 106106, 106116, 106128, 106142, 106158?\n\"Answer: a**2 + 7*a + 106098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8498.874 years in months?\nAnswer: 101986.488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -807\/4 + 202. Let y(q) = q**3 - 11*q**2 + 12*q - 15. Let t be y(10). Which is the closest to -0.2?  (a) k  (b) 0  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-3))**(-33)\/(y**(-2\/29)*y*y\/(y*((y*y\/y**2*y)\/y)\/y)*y) assuming y is positive.\nAnswer: y**(2786\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -2*c + 50. Let d be o(-8). Does 14 divide 14256\/d - 6\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -2689*f - 107554. Give i(-40).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes before 10:00 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18328618 to the nearest integer?\nAnswer: 4281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2294\/615 - 60\/41. What is the common denominator of f and 64\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nwhwnxwnnwhnnhwh. What is prob of sequence wnnh?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the third derivative of p**9\/16128 + p**8\/40320 - 19*p**5\/30 + 2*p**2 + 17. Let f(z) be the third derivative of t(z). Solve f(h) = 0.\nAnswer: -2\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00031849 rounded to 5 decimal places?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8095724 and 12.\nAnswer: 24287172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1691530 to the nearest integer?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**2. Let j be r(-3). Let n(p) be the second derivative of 1\/12*p**4 + 0 - 5\/2*p**2 + 3\/2*p**3 - 27*p. Calculate n(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:38 PM and 3:20 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) -23150  (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -33 + 37. Let f(z) be the third derivative of 0*z + 1\/60*z**5 + 28*z**2 + 0 + 0*z**3 + 1\/8*z**4. Let w(j) = -j**2 - j. What is s*w(o) + f(o)?\nAnswer: -3*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 210, 119, 2 in decreasing order.\nAnswer: 210, 119, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -8*w - 7. Let q be k(-16). Let n = q - 101. Suppose 2*f = -5*u + 80, -2*u = 3*f - 0*u - 98. Calculate the greatest common divisor of n and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -27.3 - -24. Let x = y - -3. What is the smallest value in 3\/7, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -a - 2*a + 4*a + (0 - 5 + 2)*(7 + 5 - 14)*(-23 + 7*a + 23) - 2*a - a + 2*a to the form y + i*a and give i.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.1 + 0.9. Let w = -3080 - -3079.5. What is the second smallest value in -5, q, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*6*(-5*sqrt(168)\/sqrt(3))\/sqrt(8) + 5.\nAnswer: 5 + 150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -71 + 71.4. Which is the third biggest value?  (a) x  (b) 0.1  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qhxs when four letters picked without replacement from {q: 2, x: 1, h: 4, s: 2}?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0.2, 1\/9 in increasing order.\nAnswer: 1\/9, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*b - 54 = 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 13*b + 16*b + 2 - 37*b.\nAnswer: -8*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -43 and 0.2.\nAnswer: -8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 177 = -2*f, -2*t + 2*f - 46 = -114. What is the greatest common divisor of t and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 4 + sqrt(56)\/(sqrt(24)\/sqrt(3)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1146 - 1146.1502. Let n = g - 0.2424. Round n to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -5*q - 12, -5*j = 5*q - 0*j. Let x be -11 + 11 - 10\/q. Find f such that 0 - 5\/2*f**2 + x*f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 166126 by -157.\nAnswer: -166126\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.432 - 0.4. Let l = -0.05 + j. Round l to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 PM and 7:16 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -2*z**5 - 6*z**4 + z**3 + z. Let p(y) = -3*y**5 - 11*y**4 + 2*y**3 + y**2 + y. Let j = 89 - 92. Let k(f) = j*p(f) + 5*b(f). Solve k(h) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 2*d, 0*x + 11 = -x + 4*d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*d - 3229 = -3269 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the third derivative of 7*z**2 + 2\/3*z**3 + 0*z + 0 - 1\/10*z**5 + 1\/120*z**6 - 7\/24*z**4. Let x be k(7). Solve v + 3 - 1 = 0, 2*v = x*y + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1 + -3 + -6)*-28?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((5\/(-2))\/5)\/((-33)\/33)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 500496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3\/5 - 4\/15. Let f = 158 + -6476\/41. Is f >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1a10ac (base 14) in base 4?\nAnswer: -3201303100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.011901821 - -0.0119. Round c to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 394*w + 5 + 62*w - 3 - 17*w to the form s + b*w and give b.\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(612)*-1 + 3 + sqrt(612) + (sqrt(612)*1 - sqrt(612)) + 2 + 5 + -3 + sqrt(612) + -1)**2.\nAnswer: 72*sqrt(17) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -262 - -260.967. Let q = x + 0.033. Let t be 1\/(-2) - 12\/40. Which is bigger: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*v = -17*v - 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + o + c - 71 = 0, -o + 39 = -4*c. Solve 0 = 9*n - o*n + 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-9)\/126)\/((-24)\/70). Let m = p - -1\/8. Which is the nearest to 2\/3?  (a) -0.3  (b) m  (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 43*b**2 - 1274*b + 5. Let p(w) = -w. Give p(d(h)).\nAnswer: -43*h**2 + 1274*h - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r - 4 = -18. Suppose -l = 2*j - 673, 667 = r*j + 13*l - 18*l. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 72\/7 + -213\/35. Let j(t) = 2*t + 1. Let b be j(2). Do z and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**3 + 3*q**3 - 2*q**3)*(2 + 1 - 4 + 62 - 38 - 64 + (-2 - 7 + 8)*(-3 + 2 + 2)).\nAnswer: -84*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49767759 is divided by 560.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 484 (base 10) in base 6?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 5*a + 1 = 26, 3*t + 11 = -2*a. Let l(r) = -r**3 - 4*r**2 - 5. Let v(p) = -p**3 - p**2 - 1. Give t*l(f) + 2*v(f).\nAnswer: -f**3 + 2*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -4*w + 4*d - 0*d, 2*w - 32 = 4*d. Let u(t) = -t**3 - 5*t**2 - 6*t - 1. Let g be u(-4). Suppose -c + 10 - 7 = 0. Solve -c*v + g*v = w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1423 + -4?\nAnswer: -1431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - 300 = -2*m - 269, -f = -2*m + 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.296001 rounded to 2 decimal places?\nAnswer: 13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 180 and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.15 - -0.133. Let j = -0.293 + h. What is j rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.11233794 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:43 AM and 10:22 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lwcskkt. Give prob of sequence kls.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 63550886 and 14812.\nAnswer: 7406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4307*q - 4308*q + 29 = -4*s, -s = -3*q + 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 6*a**3 - 17*a - 14. Let c(z) be the second derivative of z**5\/5 - 11*z**3\/6 - 9*z**2\/2 - 24*z. Give 8*c(p) - 5*j(p).\nAnswer: 2*p**3 - 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -11137, -17974, -24823, -31690, -38581, -45502, -52459?\n\"Answer: -t**3 - 6830*t - 4306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 354421 (base 6) in base 10?\nAnswer: 30829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -12*d + 2. Let y(f) be the second derivative of -3*f - 1\/3*f**3 - f**d + 0. Give y(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 82, 22, 3, -3, 0 in decreasing order.\nAnswer: 82, 22, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 31232\/3*l + 29768 + 2\/3*l**3 + 494\/3*l**2 = 0. Calculate l.\nAnswer: -122, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-7)\/g*g*g*g\/g**(-2\/7))\/(g**(-1\/3)*g**(1\/2)))\/((g*g**(-1)*g)\/((g\/g**(-4\/7))\/g))**(-32) assuming g is positive.\nAnswer: g**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 13982707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p + 1 + p**3 + 0*p + 2*p)*(-51 + 7 - 37).\nAnswer: -81*p**3 + 81*p - 81","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, 1\/4, -2, 9, 3 in decreasing order.\nAnswer: 21, 9, 3, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -451*c**2*j + 28*j with respect to c.\nAnswer: -902*c*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6 - -5) + -74 + 1. Suppose 8*l + 282 = 3*a + 5*l, -4*a = 3*l - 369. Let r = a - j. List the prime factors of r.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 - 4*t**2 + 2*t + 1. Let j be g(4). Let o(c) = 7*c - c - 4*c - c + j. Is o(-7) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 5*r - 100. Let y(p) = -15*p. Give y(c(k)).\nAnswer: -75*k + 1500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 2*c**2 - 47*c - 11. Let m be v(29). Calculate the common denominator of 2\/(-7) + (-2)\/m*82 and 29\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - -2 - ((-208 - -106) + 100).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2 - ((-3 - -2) + 5) - (-44 - -15)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 30\/176*(-576)\/(-108)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the third derivative of 194*u**7\/105 + u**5\/60 - 299*u**4\/12 - 137*u**2. What is the second derivative of j(x) wrt x?\nAnswer: 4656*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 29 = 2*x + 3*q, 3*x - 18 = -q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/15)\/((-570)\/7125)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 + 11. Let s(c) = c + 5. Let q be s(g). Let u be 9\/12*1*60. Calculate the greatest common factor of u and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(120)\/sqrt(4) + sqrt(30))\/(sqrt(48)\/sqrt(2)) - ((sqrt(225)*1)\/sqrt(5))\/(sqrt(144)\/sqrt(4)).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 5*f + 1489 = 1491, f = -2*q + 18 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:40 AM and 3:56 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the first derivative of k**3\/3 - 3*k**2 - k + 7. Let u be r(8). Solve -u = -5*w + 4*d, 0 = d - 0*d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.3, 26, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 45 + -43. Suppose 0 = -5*r + 10, 3*r + 2*r = c*p + 10. Solve 16 = -h + 4*v, 1 + p = -h - v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -2541\/7006 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v**2\/3 - 480*v - 1428 = 0.\nAnswer: -357, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.22?  (a) 1\/5  (b) -11  (c) -0.67  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: -2100 (base 3) to base 16\nAnswer: -3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83896984?\nAnswer: 2, 10487123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -2) + 14 + 14 + -21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}